All categories

2 years ago

6. Sheila simplified an expression using the following steps. Which property justifies Step 3?

Mathematics

1 answer:

abruzzese [7]2 years ago

5 0

Answer:

answer is Commutative Property

Step-by-step explanation:

You might be interested in

Find all the missing elements : C=120degrees b= 5 c=11

mezya [45]

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

Plug in the values

$\frac{sin(B)}{5} = \frac{sin(120)}{11}$

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

$sin(B) = \frac{sin(120)*5}{11}$

Sin(B) = 0.3936

B = $sin^{-1}(0.3936)$

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

Plug in the values

$\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}$

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

$a = \frac{5*sin(36.8)}{sin(23.2)$

a = 7.60294329 ≈ 7.6 (nearest tenth)

5 0

2 years ago

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

blondinia [14]

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

7 0

2 years ago

What is 23 3/8 as a decimal

Oksanka [162]

Im not smart im not that sure of my answer but 23.3

6 0

3 years ago

Read 2 more answers

Is 2/4 less than 2/3?

horsena [70]

Yes 2/4 is less than 2/3 :) I hope this helps

5 0

3 years ago

Read 2 more answers

Please help!!!!!!!

Serhud [2]

Answer:

152

Step-by-step explanation:

12+16=28 so 180 is the total and 180-28=152

3 0

3 years ago