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3 years ago

Find the areas of the trapezoids

Mathematics

1 answer:

Gennadij [26K]3 years ago

4 0

Answer:

figure 1 - 10.5 unit^2

figure 2 - 12 unit^2

Step-by-step explanation:

figure 1

1. find the area of the rectangle

3*2 = 6 unit^2

2. find the area of the triangle

(3*3)/2 = 4.5 unit^2

3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.

6 + 4.5 = 10.5 unit^2

figure 2

1. find the area of the rectangle

2*4 = 8 unit^2

2. find the area of both triangles

(1*4)/2 = 2 unit^2

3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.

8 + 2 + 2 = 12 unit^2

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What the correct answer do not want the wrong answer please

Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

5 0

3 years ago

?simplified the expression

larisa [96]

The first two negatives cancel out and you're left with positive 4. Now go inside the square root and do the exponent. -4*-4 = 16. Then do the -4*3*1 = -12. Do 16-12 = 4. now the square root of 4 = 2. at the dominator is 2*3 = 6. right now they problem should look like 4+- 2/ 6. from there you split the problem in two. so you have 4+2/6 & 4-2/6 then you solve both problems.
6/6 2/6
1 1/3
1 & 1/3 are your answers. I hope this helped!

5 0

3 years ago

Find cot theta if csc theta = sqrt17/4 and tan theta >0.

Lorico [155]

Answer:

$tan \theta = 4$