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3 years ago

1. What are the vertices, angles, diagonals and sides of the polygon?

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Https://www.khanacademy.org/math/geometry-home/geometry-shapes/angles-with-polygons/v/sum-of-interior-angles-of-a-polygon

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The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

6 0

3 years ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

3 years ago

Read 2 more answers

$0.15, $0.30, $0.50, $0.75, $0.89<br> I need to know the percent of change for these numbers

Naddik [55]

Answer:

15% 30% 50% 75% 89%

Step-by-step explanation:

u change 0.15 to a function 15/100 then the one hungred below is persent

5 0

3 years ago

709,189<br> +348,987<br> ________

Leni [432]

Answer: 1058176

check:

1058176 - 709,189= 348,987

6 0

3 years ago

Find the values of z and y pls :)

stellarik [79]

Measure of z is 116°.The measure of y is 48°.Hope this helps.

4 0

3 years ago