All categories

3 years ago

Find the angle of XZY

Mathematics

1 answer:

qaws [65]3 years ago

8 0

Answer:

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>

trigonometry i.g sin(x)=opp/hypo
PEMDAS

<h3>given:</h3>

opp:6
hypo:15

xyz angle

<h3>let's solve:</h3>

$let \: xyz \: angle \: be \: \alpha$

$according \: to \: the \: question$

$\sin( \alpha ) = \frac{xy}{zy}$

$\sin( \alpha ) = \frac{6}{15}$

$\alpha = asin( \frac{6}{15} )$

$\alpha = {23.6}^{o}$

therefore

<h3>xyz angle=23.6°</h3>

You might be interested in

Can somebody tell me this answer

Goshia [24]

Answer:

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S

Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = $\sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}$

AC = $\sqrt{(2-4)^2+(1-1)^2} =2$

BC = $\sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}$

For triangle SRT we have

RS = $\sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}$

RT = $\sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2$

ST = $\sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}$

Therefore their dimensions are equal

However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0

4 years ago

Read 2 more answers

Find the surface area and round to the nearest hundredths place when necessary.

Step2247 [10]

Answer:

Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).

20(base) x 10.5(height) = 210

210 divided by 2 ( x 1/2) = 105

Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.

105 x 4 = 420

Oh and I almost forgot! We need to find the area of the square below!

20 x 20 = 400!

Now we add both areas of all the triangles and the area of the bottom square:

420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)

Formula of a triangle:

BH x 1/2

B(base) x H(height) x 1/2 (basically just dividing by 2)

7 0

3 years ago

Solve the system by substitution.<br> y = 3x + 14<br> y = X

lys-0071 [83]

Answer:

$\boxed{x = -7~~and~~ y =-7}$

Step-by-step explanation:

y = 3x + 14

y = x

x = 3x + 14

3x - x = -14

2x = -14

$x = \frac{-14}{2}$

x = -7

y = x

y = -7

4 0

3 years ago

Read 2 more answers

A tiger is 7/8 meter tall. A koala bear is 4/7 as tall as the tiger. A penguin is 7/8 as tall as the kaola bear. How tall is the

Liono4ka [1.6K]

You just multiply them because “as” in the question means the same thing as “of” so it will be 7/16.

6 0

3 years ago