How to divide the 4 ÷ 6.

Answer:

Step-by-step explanation:

I'll let you solve it, but I will tell you how to

Ever heard of Thales theorem? If you haven't, here's what it is:

If a line parallel to one of the bases of a triangle is drawn, then the new triangle formed and the original triangle are similar

Why? They are similar because of AA (two equal angles):

∠AEB = ∠ADC since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)

∠ABE = ∠ACD since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)

Now this is enough information to determine that they are similar, but just for good measure, ∠A is common to both triangles so:

∠A = ∠A because of reflexive property

Now that we know they are similar, corresponding parts of similar triangles are similar

Create a ratio and solve is by cross-multiplying

Let me know if you have any questions! Hope this helps! Have a nice day/night :)

The length of BC in the figure below of triangle is 24.

We can use the Pythagorean Theorem to solve for the length of BC. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is BC, and the other two sides are AB and AC.

[tex]AB^2[/tex] + [tex]AC^2[/tex] = [tex]BC^2[/tex]

We are given that AB = 16 and AC = 12. Plugging these values into the equation, we get:

[tex]16^2[/tex] + [tex]12^2[/tex] = [tex]BC^2[/tex]

256 + 144 = [tex]BC^2[/tex]

400 = [tex]BC^2[/tex]

BC = 20

Therefore, the length of BC is 20.

Here are the steps in detail:

Identify the right triangle in the figure.

Label the sides of the triangle with the letters A, B, and C, where C is the hypotenuse.

Substitute the known side lengths into the Pythagorean Theorem.

Solve for the length of BC.

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Answer:

I understand why you are asking about this Ammaria, these type of questions take a lot of understanding of graphing.  Please feel ok asking me questions :)

Step-by-step explanation:

we are given two points

P1 = (3,3)  in the form (x1,y1)

P2 = (7,11) in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (11-3) / (7-3)

m = 8 / 4

m = 2

now use the slope along with one of the given points, either one will work, i'll use P1 , and put that into the point-slope formula.

y-3 = 2(x-3)

y -3 = 2x -6

y = 2x -3

So with the above formula we can check to see if the points work by plugging them into the formula.  

P3 = (5,8)

8 = 2(5) - 3

no point 3 does not work so it's not on the line

P4 = (13, 24)

24 = 2(13) - 3

no point 4 does not work either.

Answer:

Step-by-step explanation:

Slant asymptote is y = - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

Answer:

x = 3.53    ( this may not be the exact number because my factoring is rusty)

Step-by-step explanation:

7x/(7x + 3) = (20x - 4)/(22x - 2)

7x(22x - 2) = (20x - 4)(7x + 3)

154x² - 14x = 140x² + 60x -28x -12

combine like terms & reduce:

14x² -46x - 12 = 0

divide by 2 to simplify:

7x² - 23x - 6 = 0

factor:

(7x + 1.7)(x - 3.53) = 0

x = 3.53

Answer:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

It looks like the series is

[tex]\displaystyle \sum_{n=1}^\infty \frac{n^{2n}}{(1+n)^{3n}} = \sum_{n=1}^\infty \left(\frac{n^2}{(1+n)^3}\right)^n[/tex]

Checking for convergence is most easily done with the (Cauchy) root test for convergence: the infinite series

[tex]\displaystyle \sum_{n=1}^\infty a_n[/tex]

converges absolutely if the limit

[tex]\displaystyle \lim_{n\to\infty} \sqrt[n]{|a_n|} < 1[/tex]

Here we have

[tex]\displaystyle \lim_{n\to\infty} \sqrt[n]{\left|\left(\frac{n^2}{(1+n)^3}\right)^n\right|} = \lim_{n\to\infty} \frac{n^2}{(1+n)^3} = 0 < 1[/tex]

so the given series converges.

Given:

The triangle is a right angle triangle

Height of triangle = 3 m

Hypotenuse of triangle = 5 m

To find:

Area of triangle

Steps:

To find the area of a triangle we have multiply the base and height of triangle into 1/2, but the figure doesn't show the measurements of the base, so we have to use Pythagoras theorem to find the third side this triangle is a right angle triangle.

A² + B² = C²

3² + B² = 5²

9 + B² = 25

      B² = 25 - 9

       B² = 16

         B = √16 = 4 m

Therefore the base length of the triangle is 4 m

Now we can find the area of the triangle

Area of triangle = (Base × Height)1/2

Area of triangle = (4 × 3)1/2

Area of triangle = 12 × 1/2

Area of triangle = 6 m²

Therefore the area of the triangle is B) 6 meters square

Happy to help :)

If you have any doubts, pls ask

Answer:

Step-by-step explanation:

8/10 = x-1 / x+2

4/5 = x-1 / x+2

4(x+2) = 5(x-1)

4x + 8 = 5x -5

13  = x

there you go :)

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

Answer:

a) area = side²

225 in² = side²

side = √225 = 15 inches

b) 15 inches per side x 4 sides x $1.35 per inch = $81.00

Step-by-step explanation:

Answer:

8miles

Step-by-step explanation:

If Brian jogged 2 miles in 30 minutes, this is expressed as;

2miles = 30minutes

To calculate the distance covered in 2hrs, we can say

x miles = 2hrs (120minutes)

Divide both expressions

2/x = 30/120

Cross multiply

30x = 2 * 120

30x = 240

x = 240/30

x = 8

hence he covers 8miles in 2hrs

Answer:

2x15-5=30-5=25 So, the answer is 25.

Answer: [tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The total no of beads is 52

there 13-red,13-blue,13-green, and 13-black

favorable outcomes to select a blue bead is 13

Total outcomes are 52

Probability is given by

[tex]P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}[/tex]

Answer: 1/4

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

TSU = 180 - 117 = 63

Answer:

plz give them brainliest

Step-by-step explanation:

Answer:37.5 square inches

Step-by-step explanation:

Answer:

D. Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation:

Experimental studies are those studies that are based upon the experiments in this the group could be controlled and testable also so according to the given situation, the option D is correct as Jenae have the similar maount of sugar and sweetener at each and every location

Therefore the last option is correct

Answer:

Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There's 3 tablespoons of nuts and 1 tablespoon of berries, so 1/4 tablespoons is berries.

Answer:

To sum up, we looked at the important amount devided by the total amount. Finally we solved for p. Which gave us p=75. Furthermore 75 percent of the trail mix is made up out of berries.

Step-by-step explanation:

So the main equation with percentages is W/G = p/100.

So First we look at G. G describes the total amount. In this case the total amount of teaspoons is four. Four because we have three tablespoons of berries and one tablespoon of nuts. That is four tablespoons.

Now we can go further to find out what W is. 2 is the important amount. In the question we are supposed to look at the amount of berries is the trail mix. Which gives us the value three.

So far our equation has no unknowns anymore 3/4=p/100. We multiply both sides of the equation with 100 3*100/4=p. Thus p = 300/4=150/2=75.

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

Cone is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

Example:

The cone has a radius of 2 cm and a height of 3cm.

The volume of a cone:

= 1/3 x 3.14 x 4 x 3

= 12.56 cm³

We have,

Cone:

Volume = 98 cm

Radius = 5.13 cm

Height of the cone = h

The volume of a cone:

V = 1/3πr²h

98 = 1/3 x π x (5.13)² x h

[ Take π = 3.14 ]

98 = 1/3 x 3.14 x 26.31 x h

Multiply 3 on both sides.

98 x 3 = 3.14 x 26.31 x h

Divide both sides by (3.14 x 26.31).

h = (98 x 3) / (3.14 x 26.31)

h = 294 / 82.61

h = 3.56 cm

Thus,

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

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Answer:

z = 3

Step-by-step explanation:

Similar polygons have the ratio of their corresponding sides equal to each other. There:

9/z = 6/2

Cross multiply

z*6 = 9*2

6z = 18

z = 18/6

z = 3

Answer:

4x−5y=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

99°

Step-by-step explanation:

<8 = 99° [Since, corresponding angles of parallel lines]

Answer:

solution given:

<8=99° [corresponding angle]

Answer: 3/5 + 1/4 = 0.85

Step-by-step explanation:

I hope it helps :)

Answer:

Part A:

Since Jasmine has more cousins rhan Brenda, who has 4 cousins, then the amount of cousins that Jasmine has (j) is greater than 4 so j > 4

Part B:

We have a number line and we draw an arrow starting from 4 and going to the right.

Hope this helped!

Answer:

4.8h - 2.3d - 14

Step-by-step explanation:

Answer:

f(2+h)=-(h+2/3)^2+1/4

f(x+h)=-(x+h-1/2)^2+1/4

Step-by-step explanation:

1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)

=-(h+2/3)^2+1/4

2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.

a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.

Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4

Answer:

Impossible

Step-by-step explanation:

How is that even possible

Answer:

47

Step-by-step explanation:

if my answer is right please mark branliest

Answer:

9ft wide 12ft long

Step-by-step explanation:

Answer:

I think answer is B or C or D

Step-by-step explanation: