compare two linear relationships below. All of the following are true except

Answer:

4.

[tex]x=8\sqrt{3}[/tex]

[tex]y=16[/tex]

5.

[tex]x=3[/tex]

[tex]y=3\sqrt{3}[/tex]

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

[tex]a-a\sqrt{3}-2a[/tex]

Where (a) is the side opposite the (30) degree angle, ([tex]a\sqrt{3}[/tex]) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ([tex]\sqrt{3}[/tex]). Thus the following statement can be made,

[tex]x=8\sqrt{3}[/tex]

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

[tex]y=16[/tex]

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

[tex]y=3\sqrt{3}[/tex]

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

[tex]x=3[/tex]

Answer:

Future value, A = $8444.16

Step-by-step explanation:

Given the following data;

Principal = $3,600

Time = 2 years

Number of times = 24

Interest rate = 0.43 %

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 3600(1 + \frac{0.43}{24})^{24*2}[/tex]

[tex] A = 3600(1 + 0.01792)^{48}[/tex]

[tex] A = 3600(1.01792)^{48}[/tex]

[tex] A = 3600(2.3456)[/tex]

Future value, A = $8444.16

Answer:

42

Step-by-step explanation:

The quadrilateral is a parallelogram

The area of a parallelogram can simply be calculated by multiplying the base length by the height

The parallelogram has a height of 3m and a base length of 4 + 10 = 14m

Hence area = 14 * 3 = 42

Step-by-step explanation:

go to school do math then you'll figure out

Answer:

ok first we have to add the number of lollipops up

9+13+5+11+7+15=60

so there is 60 lollipops in total

now we have to add up the ones with out a chocolates center

11+7+15=33

so 33/60

we can simplify this

11/20

now we multiply both by 5

55/100

so 55%

Hope This Helps!!!

The correct answer is option A which is the probability of not having a chocolate center is 55%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

9+13+5+11+7+15=60

So there are 60 lollipops in total, now we have to add up the ones without a chocolate center.

The probability will be calculated as:-

11+7+15=33

P =33/60

P = 11 / 20

Now we multiply both by 5

P = 55/100

Therefore the correct answer is option A which is the probability of not having a chocolate center is 55%.

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Answer:

-5

4

Step-by-step explanation:

x + x² = 20

x² + x - 20 = 0

Factor

(x + 5)(x - 4) = 0

x = {-5, 4}

-5 + 25 = 20

4 + 16 = 20

Answer and Step-by-step explanation:

Add together the hours, then divide the amount earned by the total amount of  hours.

3 + 5 = 8

105 ÷ 8 = $13.125 (which would round up to 13.13) [About $13.13] is earned per hour.

#teamtrees #PAW (Plant And Water)

Answer:

61.2%

Step-by-step explanation:

Let's start by finding the total area of the circle

it says that the radius is 4 so the total area is 16π

Then let's find the area of the traingle

The hieght is 6.5 and the base is 6

.5*6.5*6=19.5

Let's then find the white area

16π-19.5=30.765

Finally we just have to do (30.765/16π)= 61.2%

9514 1404 393

Answer:

  AB = 7 9/10

Step-by-step explanation:

For collinear line segments, the whole is the sum of the parts.

  AB = AD + BD

  AB = 3.5 +4.4 = 7.9

  AB = 7 9/10

Answer:

my answer is A. you only need substitute n from 1 to 4

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for drawing

Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

A. (x+5) / (x+10)

Step-by-step explanation:

______

Answer:

16.75 dollars per hour

Step-by-step explanation:

Take the amount earned and divide by the hours

134 dollars / 8 hours

16.75 dollars per hour

Answer:

d

Step-by-step explanation:

because all values Gon be negative

Answer:

d.18

Step-by-step explanation:

as x goes up by 1, y goes up 18

Answer:

-1 to 3

Step-by-step explanation:

When the function is constant, it'll be a horizontal straight line. On the graph of the line where there are no increases or decreases begins at -1 and ends at 3.

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

Answer:

6535

Step-by-step explanation:

collect your own thinikng

Answer:

1. 120

2. 120

3. 132

4. 600

Answer:

The correct answer is B.

Step-by-step explanation:

The area of the closest answer is 30 since the actual area is 28 square inches.

Answer: 1/4

Step-by-step explanation:

Answer:

81/100

Step-by-step explanation:

Answer:

A) 0.0107

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 440 seconds and a standard deviation of 40 seconds.

This means that [tex]\mu = 440, \sigma = 40[/tex]

Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.

This is the p-value of Z when X = 348. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{348 - 440}{40}[/tex]

[tex]Z = -2.3[/tex]

[tex]Z = -2.3[/tex] has a p-value of 0.0107, and thus, the correct answer is given by option A.

Answer:

31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)

31 + a = 90

-31        -31

A = 59 degrees.

Answer:

83.3...

Step-by-step explanation:

50x5/5=250/3

x=83.3

Isaac can swim 83.3 per minute.

It is required to find how far Isaac swim per minute.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Isaac swims across a 50-meter pool in 3/5 of a minute.

According to question we have

50-meter = 3/5 of a minute

50x5/3meter= 1 minute

=250/3 meter/minute

=83.3meter/minute

Therefore,  Isaac can swim 83.3 per minute.

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Answer:

3x2-3x+9

Step-by-step explanation:

(h-k)(3)

(X2+1-(x-2))(3)

(x2+1-x+2)(3)

3x2+3-3x+6

3x2-3x+9

Hello,

h(x)=x²+1

k(x)=x-2

First of all, you must understand that:

(h+k)(x)=h(x)+k(x)

So, (h+k)(3)=h(3)+k(3)=(3²+1)+(3-2)=(9+1)+1=11

3h(2)+2k(3)=3*(2²+1)+2*(3-2)

=3*(4+1)+2*1

=15+2

=17