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2 years ago

Find the measure of the side indicated. Round to the nearest tenth.

Mathematics

1 answer:

Alex2 years ago

6 0

Answer: x=1.2

Why?:
This is a 90-60-30 triangle
The sides of 90-60-30 triangle are: 2, square root of 3, 1

2.4/2 = x/1
2.4/2=2x/2

1.2=x

Hope this’ll help

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An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4

densk [106]

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

5 0

3 years ago

A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of

hram777 [196]

$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ <u>Ratio of two angles are 6:13.</u>

So, let the one angle be $\sf{6x}$ and another be $\sf{13x.}$

As we know that,

Sum of all interior angles of a quadrilateral = $\sf\pink{360°.}$

So let's sum up the given angles,

$\rightarrow$ $\sf{222°+81°+6x+13x \:=\: 360°}$

$\rightarrow$ $\sf{303+19x \:=\: 360°}$

$\rightarrow$ $\sf{19x \:=\: 360-303}$

$\rightarrow$ $\sf{19x \:=\: 57}$

$\rightarrow$ $\sf{x \:=\: \frac{19}{57}}$

$\rightarrow$ $\sf{x \:=\: 3}$

Hence, $\sf{x \:=\: 3}$

So, First angle $\sf{= \:6x\: = \:6×3 \:=}$ $\sf\purple{18°.}$

Second angle $\sf{= \:13x\: = \:13×3 \:=}$ $\sf\purple{39°.}$

_________________________________

Hope it helps you:)

3 0

2 years ago

Is the point (2,8) a solution of the equation y = 13x + 12?<br> O Yes<br> O No

vovikov84 [41]

Answer:

O No

Explanation:

Given equation: y = 13x + 12

To check if (2, 8) is a solution of the given equation.

Substitute x and y value in equation and check if it is true.

$\rightarrow y = 13x+12$

(x, y) = (2, 8)

$\rightarrow 8 = 13(2)+12$

simplify

$\rightarrow 8 = 38$

This following statement is false and hence (2, 8) is not a solution.

6 0

1 year ago

Which way shows how to make a ten to solve 13 - 7?

Paha777 [63]

13=10+3 so
13-7=3+10-7=3+3=6

3 0

2 years ago

Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grapes?

Alona [7]

Answer:

$0.64/lb

Step-by-step explanation:

7 0

2 years ago

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