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3 years ago

What is the answer to this? 40d = 160. What is d?

Mathematics

1 answer:

Sholpan [36]3 years ago

3 0

Answer:

d=4.

Step-by-step explanation:

160/40=4, therefore d=4.

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Unit 8: Right Triangles & Trigonometry<br> Homework 2: Special Right Triangles

Vsevolod [243]

Answer:

Part 1) $x=14\sqrt{2}\ units$

Part 2) $y=14\ units$

Part 3) $z=14\sqrt{3}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ABC

we know that

The triangle ABC is a $45^o-90^o-45^o$

Is an isosceles right triangle

The legs are equal

therefore

AC=AB

$x=14\sqrt{2}\ units$

step 2

Find the length side BC

Applying the Pythagorean Theorem]

$BC^2=AB^2+AC^2$

$BC^2=(14\sqrt{2})^2+(14\sqrt{2})^2$

$BC^2=784\\BC=28\ units$

step 3

Find the value of y

In the right triangle BCD

$sin(30^o)=\frac{BD}{BC}$ ----> by SOH (opposite side divided by the hypotenuse)

$sin(30^o)=\frac{y}{28}$

Remember that

$sin(30^o)=\frac{1}{2}$

$\frac{y}{28}=\frac{1}{2}\\\\y=14\ units$

step 4

Find the value of z

In the right triangle BCD

$cos(30^o)=\frac{DC}{BC}$ ----> by CAH (adjacent side divided by the hypotenuse)

$cos(30^o)=\frac{z}{28}$

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{z}{28}=\frac{\sqrt{3}}{2}\\z=14\sqrt{3}\ units$

3 0

3 years ago

Read 2 more answers

*PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*

drek231 [11]

Answer:

67.307

Step-by-step explanation:

30×25=750

100×80=8000

750+8000=8750

8750/130=67.307... total hits divided by total games

8 0

2 years ago

Read 2 more answers

How tto sollve the quadratic equation of r2=96

maksim [4K]

$r^2 =96 \\ r=б \sqrt{96} \\ r=б4 \sqrt{6}$

Answer: r=-4√6, r=4√6

4 0

4 years ago

Read 2 more answers

The T-shirt shown normally costs $22.50. Today it is on sale for 45% off. Find the sale price

castortr0y [4]

Answer:

SP = (100-d%)/100 × MP

ans.12.36

5 0

2 years ago

a recipe that makes 8 blueberry muffins calls for one and a half teaspoons of baking powder how much baking powder is needed for

Effectus [21]

You are making 4.5 the amount of muffins, so you're going to use 4.5 times the amount of baking powder. You'll need six and three fourths teaspoons.

6 0

3 years ago