Describe los Tipos de ángulos que se forman cuando divides un círculo en 4 partes iguales









Answers

Answer 1

The angles that you get when a circle is divided into 4 equal parts, would be four 90 degree angles.

How to describe the angles ?

The reason these angles are called 'right angles' is because they create an exact 90-degree angle, signifying one fourth of a complete circle. Every specific angle is named as a 'quadrant,' as it covers a quarter or a quadrant of the circle.

These four perpendicular angles stand side by side - having in common not just one diameter of the circle but also a shared vertex, which is at the center of the circle. Together, they share uniformly the circle into four unique sections - each turning toward a distinct quadrant of the circle parallel to their placement.

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Related Questions

(2/5)y-5=-2.5
What's y

Answers

Answer: Y = 6.5

Step-by-step explanation:

Please help me out! :D

Answers

Answer:

A

Step-by-step explanation:

the domain!! :) i hope this helps

Find the value of x.
78°
OA7
OB. 8
O C. 5
O D. 1
(12x+18)

Answers

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

In order to estimate the average electric usage per month, a sample of 121 houses was selected and the electric usage was determined. Assume a population standard deviation of 370 kilowatt-hours. The standard error is 33.64. Find the size of the margin of error at 95% confidence.
a. 1.64
b. 1.96
c. 55.33
d. 65.93

Answers

If the standard error is 33.64, the size of the margin of error at 95% confidence is 65.93. So, correct option is D.

The margin of error (ME) can be calculated using the formula:

ME = z* (standard error)

where z is the z-score from the standard normal distribution corresponding to the desired level of confidence. For 95% confidence, z is 1.96.

Substituting the values given in the problem, we have:

ME = 1.96 * 33.64 = 65.93

Therefore, correct option is D.

This means that if we take multiple random samples of size 121 from the population, and calculate the sample mean and confidence interval for each sample, we can expect the true population mean to fall within 65.93 units above or below the sample mean, 95% of the time.

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What is the area of the triangle?
3 cm
9 cm
8 cm
square centimeters

Answers

The answer is 216centimeters

Need some help I’m stuck

Answers

Below are the true and false results for the number sentence;

1. 6x = 48 when x = 6 is false

2. 6x = 48 when x = 8 is True

3. x/2 ≥ 3 when x = 6 is True

4. x/2 ≥ 3 when x = 8 is True

5. x < 8 when x = 6 is true

6. x < 8 when x = 8 is False

7. 5x ≤ 30 when x = 6 is True

8. 5x ≤ 30 when x = 8 is False

How do we solve for the number sentences?

The solution to the number sentence are;

1. 6 x 6 = 36, not 48.

2. 6 x 8 = 48

3. 6/2 = 3. therefore it fits the equal or greater sign

4. 8/2 = 4. it fits the greater or equal sign

5. if x is 6, 6 is less than 8. which makes the number sentence true

6. if x is 8, it is therefore not less than 8 but equal.

7. 5 x 6 is 30. Therefore 30 is not less than 30 but equal

8. 5 x 8 is 48. 48 is not less than or equal to 30

The answers provided are in reference to the questions below;

In each row of the table, select True or false if the number substituted for x results in a true or false number sentence

                                                            True                     False

6x = 48 when x = 6

6x = 48 when x = 8

x/2 ≥ 3 when x = 6

x/2 ≥ 3 when x = 8

x < 8 when x = 6

x < 8 when x = 8

5x < 30 when x = 6

5x < 30 when x = 8

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URGENT!!! Find the surface area of the regular pyramid to the nearest hundredth.

Answers

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = [tex]\sqrt{(15.4)^2+(7.2)^2}=17mm[/tex]

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

What is the probability that either event will occur?
14,24,10,18
P(A or B)= ?P(A)+P(B)-P(A and B)

Please answer in a simple way so I can understand how to do it.

Answers

The probability that either event will occur to the nearest hundredth would be = 0.9

How to calculate the probability of the given events?

To calculate the probability of the given events, the sample space should be generated and followed by the probability of each sample space generated.

That is;

P(A) = 14/18 = 0.78

P(B) = 10/18 = 0.56

P(A and B) = 0.78×0.56 = 0.4368

Therefore ;

P(A or B)= 0.78+0.56-0.4368

= 1.34- 0.4368

= 0.9

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answer with explanation ​

Answers

Answer:

Step-by-step explanation:

To create a magic square with -6,-5,-4,-3,-2,-1,1,2, we need to arrange these numbers in a 3x3 grid such that each row, column, and diagonal add up to the same sum.

Here's one possible solution:

diff

Copy code

-6 1 2

-4 -5 9

8 -3 -2

To check if this is a magic square, we can calculate the sum of each row, column, and diagonal:

Rows:

(-6 + 1 + 2) = -3

(-4 - 5 + 9) = 0

(8 - 3 - 2) = 3

Columns:

(-6 - 4 + 8) = -2

(1 - 5 - 3) = -7

(2 + 9 - 2) = 9

Diagonals:

(-6 - 5 - 2) = -13

(2 - 5 + 8) = 5

All of these sums are equal to 0, so this is indeed a magic square.

Mrs Netshirando sells 450 g packs of rusks at R49,50 per pack. The table below shows the main ingredients of the rusks. TABLE 1: MAIN INGREDIENTS TO BAKE 5 000 g OF RUSKS Quantities Ingredients Self-rising flour Bran flour Raisins Butter NOTE: A rusk is a hard, dry biscuit or twice baked bread se the information above to answer the questions that follow. 1,56 kg 6,25 cups 1 Convert 1,56 kilogram (kg) to gram (g). 125 g [Adapted from www.food24.com/Recipes-and-Menus South-African-Recipes! 625 g​

Answers

1560 g.

To convert 1.56 kg to g, we can use the conversion factor 1 kg = 1000 g:

1.56 kg = 1.56 x 1000 g = 1560 g

Therefore, the answer is 1560 g.

In 2009 the world’s largest pumpkin weighed 784 kilograms. An average-sized pumpkin weights 5,000 grams. The 2009 world record pumpkin weighs___ kilograms more than and average sized pumpkin. Write your answer as a numeral.

Answers

The 2009 world record pumpkin weighs 779 kilograms more than an average-sized pumpkin.

Calculation: 784,000 grams - 5,000 grams = 779,000 grams
Then, 779,000 grams / 1,000 = 779 kilograms.

Step-by-step explanation:

5 000 gm = 5 kg

784kg  - 5kg=  779 kg  more than average

the amount harry is paid each day, f(x), is a function of the number of hours, x, he works. the function f(x)=10x+25 models this situation. harry can work, at most, 4 hours each day. what is the best domain of the function in this context?

Answers

The total amount paid to harry in past week, is 299.28.

We know that,

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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complete question:

Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.

Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings

Calculate how much in total Harry was paid last week

Talk about an experience outside of academia where you had to assess and make a decision that came with risk. Please limit your response to 250 words or less.

Answers

An experience that I had outside the academia was when I worked as a marketing coordinator for a small start-up company.

What was the experience?

A product launch event had been planned by the team for several weeks, and everything appeared to be going according to plan. However, we learned the day before the event that our keynote speaker, who was an important component of it, had unexpectedly become unwell and would not be able to attend.

I had to evaluate the situation as the marketing coordinator and decide right away. Either we could cancel the event or we could locate a another speaker.

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A circular arc has measure 6cm and is intercepted by a central angle of 40°

Answers

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

the picture to my math problem i posted before

Answers

a) From Carmen's results, the experimental probability of landing on black is given as follows: 6/25.

b) The theoretical probability of landing on black is given as follows: 1/5.

c) The correct statement is the second statement, as the number of trials increases, the two probabilities get closer.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

In 25 trials, 6 resulted in black, hence the experimental probability is given as follows:

p = 6/25.

Two out of 10 regions of the spinner are black, hence the theoretical probability is given as follows:

p = 2/10 = 1/5.

Missing Information

The problem is given by the image presented at the end of the answer.

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The temperature on Tuesday was -5 Celsius the temperature in Wednesday was 5 Celsius

Answers

The temperature of Srinagar on Wednesday was -3°C.

If the temperature was -5°C on Monday and dropped by 2°C on Tuesday, we can subtract 2 from -5 to get:

-5°C - 2°C = -7°C

So the temperature of Srinagar on Tuesday was -7°C.

If the temperature on Wednesday rose by 4°C from the temperature on Tuesday, we can add 4 to -7°C to get:

-7°C + 4°C = -3°C

So the temperature of Srinagar on Wednesday was -3°C.

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The complete question:

At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

Solve for m. m + 310 = 786 ​

Answers

Answer:

m = 476

Step-by-step explanation:

m + 310 = 786

(Subtract 310 from both sides.)

m = 786 - 310

(Subtract 310 from 786 to get 476)

m = 476

When the angle of elevation of the sun is 62°, a telephone
pole that is tilted at an angle of 8° directly away from the sun
casts a shadow 20 feet long. Determine the length of the pole
to the nearest tenth of a foot.

Answers

Answer:

  30.0 ft

Step-by-step explanation:

You want the length of a pole whose shadow is 20 ft long when the angle of elevation of the sun is 62° and the pole is tilted 8° away from the sun.

Law of Sines

Referring to the attached diagram, we see that the interior angle at B of triangle ABC is 90° -8° = 82°. This makes the interior angle at A ...

  A = 180° -82° -62° = 36°

The law of sines tells us side lengths are proportional to the sines of the opposite angles:

  c/sin(C) = a/sin(A)

  c = a×sin(C)/sin(A) = 20×sin(62°)/sin(36°) ≈ 30.043 . . . feet

The length of the pole is about 30.0 feet.

Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People
with fewer than 12 grams of hemoglobin per deciliter of blood (g/dl) are anemic. A public health official
in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of 50
children in Jordan and finds the mean to be 11.3 g/dl with a standard deviation of 1.6 g/dl. Test this
claim at the α = 0.05 level of significance.
Work this problem using both the p-value method OR the rejection region method.

Answers

There is enough data to indicate that Jordanian children are at risk of anemia.

The null hypothesis is that the true mean hemoglobin level for Jordanian children is greater than or equal to 12 g/dl, and the alternative hypothesis is that it is less than 12 g/dl.

Using the P-value method:

The test statistic for the one-sample t-test is given by:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population means (here, μ = 12), s is the sample standard deviation, and n is the sample size.

Substitute the given values,

t = (11.3 - 12) / (1.6 / √50) = -2.98

Using a t-distribution table with 49 degrees of freedom (df = n - 1), find that the p-value for this test is approximately 0.002.

Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that Jordanian children are at risk of anemia.

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Maria is creating a new art piece on canvas. (The canvas is represented in the picture below as
rectangle ARTS). She knows the base edge of the canvas, ST, measures 4 ft. And the distance of
diagonal AT measures 8.5 ft. What is the area of Maria’s canvas? Show all work.

Answers

The Area of Maria's canvas is 30 ft.

Area of Maria's canvas, we need to know the length of the other side of the rectangle. We can use the Pythagorean theorem to find this length. Let's call it SA.

According to the problem statement, the base edge ST measures 4 ft, and the diagonal AT measures 8.5 ft. Using the Pythagorean theorem, we have:

[tex]AT^2 = ST^2 + SA^2\\8.5^2 = 4^2 + SA^2\\72.25 = 16 + SA^2\\56.25 = SA^2\\SA = \sqrt{56.25}\\SA = 7.5\ ft[/tex]

Now we know that the length of the canvas is 7.5 ft, and the width is 4 ft. Therefore, the area of Maria's canvas is:

Area = length x width

Area = 7.5 ft x 4 ft

Area = 30 square feet

Therefore, the area of Maria's canvas is 30 square feet.

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Given the following equation, x^4 -4x^2+10x+13 use synthetic division and show if they are root or not.

Please show steps.

Answers

The zeros are not the factors of the expression using the synthetic method

Testing the factors using the synthetic method

The expression is given as

x⁴ - 4x² + 10x + 13

Testing the factors, we have

(x, y) = (2, 0)

The synthetic set up is

2 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

2 |   1  0  -4   10   12

    |___2_4__0__20__

       1   2   0  10    32

This has a remainder of 32

So, (2, 0) is not a factor

(x, y) = (1, 0)

The synthetic set up is

1 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

1  |   1  0  -4   10   12

    |___1__1__-3_7__

       1   1   -3    7    19

This has a remainder of 19

So, (1, 0) is not a factor

(x, y) = (-1, 0)

The synthetic set up is

-1  |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

-1  |   1  0  -4   10   12

    |__-1__1__3__13__

       1  -1   -3    13   25

This has a remainder of 25

So, (-1, 0) is not a factor

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Please help and explain PLEASE HELP PLEASE :( Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help

Answers

Answer:

  C. 10

Step-by-step explanation:

You want to know the bin size in a histogram with bin boundaries 10.5, 20.5, 30.5, ....

Bin size

The size of the bin is the difference between its boundary values. Here, all of the bins are the same size:

  20.5 -10.5 = 10

The bin size is 10.

__

Additional comment

The bin boundaries are typically chosen so that no data value can fall on the boundary, but must be unambiguously allocated to one bin or another. When the data values are integers, it is not uncommon to have the bin boundary be halfway between two integers.

Here, the boundary being 20.5 means a score of 20 will be counted in the bin to the left, and 21 will be counted in the bin to the right.

The boundary value shown at the right edge of the graph is not 100.5, as we might expect. However, we can reasonably assume that a test score of 100 would be counted in the bin with upper boundary 100, without any ambiguity.

Answer: 10

Step-by-step explanation:

The size of each value marker

NO LINKS!! URGENT HELP PLEASE!!!!

Find the equation of square root with a vertex at (1, -5) and passes through the (5, -7).

Answers

Answer:

[tex]y = \frac{ - 1}{2} *\sqrt{x-1} - 5[/tex]

Step-by-step explanation:

The standard equation of a square root function with vertex at point (h,k) is given by:

[tex]y = a \times \sqrt{x - h} + k[/tex]

where (h,k) is the vertex and "a" is a coefficient that determines the vertical stretch and direction of the square root function.

We know that the vertex of our square root function is (1, -5), so we can substitute those values into the equation to get:

y = [tex] a*\sqrt{x-1} - 5[/tex]

Now, we need to find the value of "a". To do that, we will use the fact that the square root function passes through point (5, -7). Substituting these coordinates into the equation, we get:

[tex]-7 = a*\sqrt(5-1) - 5[/tex]

-2 = 4a

[tex]a = \frac{ - 1}{2} [/tex]

Now that we know the value of "a", we can substitute it into our equation to get the final equation of the square root function:

[tex]y = \frac{ - 1}{2} *\sqrt{x-1} - 5[/tex]

Therefore, the equation of the square root function with a vertex at (1, -5) and passing through (5, -7) is

[tex]y = \frac{ - 1}{2} *\sqrt{x-1} - 5[/tex]

Answer:

[tex]f(x) = -\sqrt{x-1} - 5[/tex]

Step-by-step explanation:

The standard form of a square root function is:

[tex]f(x)=a\sqrt{x-h}+k[/tex]

where "a" is a scaling factor determining the vertical stretch or compression of the function, and (h, k) is the vertex.

Given the vertex is (1, -5), substitute h = 1 and k = -5 into the equation:

[tex]f(x) = a\sqrt{x - 1} - 5[/tex]

Substitute the point (5, -7) that the function passes through to find the stretch factor "a":

[tex]\begin{aligned}-7 &= a \sqrt{5 - 1} - 5\\-7 &= a \sqrt{4} - 5\\-7 &= 2a - 5\\-7 +5&= 2a - 5+5\\-2&= 2a\\\dfrac{-2}{2}&=\dfrac{2a}{2}\\-1&=a\\a &= -1\end{aligned}[/tex]

Substitute the value of "a" back into the equation:

[tex]f(x) = -\sqrt{x-1} - 5[/tex]

Therefore, the equation of the square root function with a vertex at (1, -5) and passes through the point (5, -7) is:

[tex]\boxed{f(x) = -\sqrt{x-1} - 5}[/tex]

please help!! use the job salaries to caculate each question :)

Answers

The profession that would earn that amount more than a bank teller is Office Clerk.

The profession that would earn $1,151,700 in 30 years is Bookkeeper.

The profession that will earn  $828,600 over a 20-year career is Truck Driver.

The profession that earns $136,200 more than a fire fighter over a period of 30 years is Electrician

How to find the careers ?

The 15 year difference between bank teller and office clerk is:

= ( 30, 850 x 15 ) - ( 27, 260 x 15 )

= $ 53, 850

The earnings of a Bookkeeper in 30 years is:

= 38, 390 x 30

= $ 1, 151, 700

The earnings of a Truck driver in 20 years is :

= 41, 430 x 20

= $ 828, 600

The difference between earnings of Fire fighter and Electrician over 30 years is:

= ( 52, 570 x 30 ) - ( 48, 030 x 30 )

= $ 136, 200

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The Mackinac Bridge in Michigan is 1158 meters long. The Tsing Ma Bridge in Hong Kong is 97 meters longer than the Golden Gate Bridge in California. Together, all three bridges have a length of 3815 meters. How long is the Tsing Ma Bridge?

Answers

Lenght of Tsing Ma Bridge in Hong Kong is, 1,377 meters

Given that;

The Mackinac Bridge in Michigan is 1158 meters long.

And,  The Tsing Ma Bridge in Hong Kong is 97 meters longer than the Golden Gate Bridge in California.

Let the length of Golden Gate Bridge = x

Then, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

Since, Together, all three bridges have a length of 3815 meters.

Hence, We get;

1158 + x + (x + 97) = 3815

1255 + 2x = 3815

2x = 2,560

x = 1,280 meters

Thus, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

                                                                         = 1280 + 97

                                                                        = 1,377 meters

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If the are of a triangle is 48ft2 and the hieght of the triangle is 12ft what would the length of the base be

Answers

Answer:

8 ft

Step-by-step explanation:

Area of a triangle=1/2*base*height

You know the area of the triangle and the height, so you can set up an expression to solve for the base

48=1/2*base*12

4=1/2*base

base=8ft

Check: A=1/2*8*12, A=48 ft²

Students are making lemonade from a powdered lemon drink mix. Tristan mixes 7 cups of water and 3 cups of powdered lemon mix. Yaritza mixes 2 cups of water and 1 cup of powdered lemon mix. Use Tristan and Yaritza’s percent of water to determine whose mix will be more watery.

Answers

Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery so  Tristan's mix will be more watery than Yaritza's mix.

To determine whose mix will be more watery, we need to compare the percent of water in each mix.

The higher the percent of water, the more watery the mix will be.

Tristan's mix has a total of 7 + 3 = 10 cups of liquid

The percent of water in Tristan's mix is: (7 cups of water / 10 cups of liquid) x 100% = 70%

Yaritza's mix has a total of 2 + 1 = 3 cups of liquid (water + powdered lemon mix).

The percent of water in Yaritza's mix is: (2 cups of water / 3 cups of liquid) x 100% = 66.7%

Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery.

Therefore, Tristan's mix will be more watery than Yaritza's mix.

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Gwen has $50 in a savings account that earns 5% annually. The interest is not compounded. How many years will it take for her to have $57.50 in her
account?

Answers

Answer:

3 years

Step-by-step explanation:

1. Find 5 percent of 50.

5 percent of 50 is 2.5.

However, we are talking about money so we will say 2.50.

2. Add to 50 until you reach your desired number.

50 + 2.50 = 52.50

52.50 +2.50 = 55

55+2.50 = 57.50

Finally we have reached 57.50. It took us 3 equations to get there and therefore took 3 years.


Given that the triangles shown below are similar, what is the value of x?
ܐ ܠ ܐ
H
48
40
16
20

Answers

Since the triangles are similar, their corresponding sides are in proportion.

We can set up the following proportion:

48 / 20 = (x + 16) / 16

We can then solve for x by cross-multiplying and simplifying:

48 * 16 = 20 * (x + 16)

768 = 20x + 320

448 = 20x

x = 22.4

Therefore, the value of x is 22.4.

solve for x
2x^2/3+9x^1/3= -4

Answers

The solution of the equation is x=0.08813 or 3.90664.

We have,

2x² / 3  + 9[tex]x^{1/3[/tex] = -4

Now, solving the equation for x

2x² + 27[tex]x^{1/3[/tex] = -12

Now, taking cube on both side we get

(2x² + 27[tex]x^{1/3[/tex] )³= -12³

Now, simplifying we get

19683x = -1728 -864x² -144[tex]x^4[/tex]-8[tex]x^6[/tex]

So, x=0.08813 or 3.90664

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