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svlad2 [7]
3 years ago
14

What is measure of angle R?

Mathematics
1 answer:
Aleks [24]3 years ago
4 0
The given triangle is a right triangle.
The tangent of an angle of right triangle is obtained by dividing the opposite side of the angle with the adjacent side of the angle.
The opposite side of angle R is 5 cm and the adjacent side of angle R is 12 cm.

tan R = 5 / 12 = 0.4167
R = arctan (0.4167) = 22.6 degrees.
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Family has an annual income of ​$23 comma 400. Of​ this, one fourth
denis23 [38]

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = 1/4 \times 23400

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = 1/5 \times23400

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = 1/10 \times 23400 = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = 1/9\times 23400 = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  1/4 \times 23400 =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

5 0
3 years ago
Find the value for c, x, x, m, and x
Nutka1998 [239]

Answer:

In order, c= 3, x= -4, x= 2, m= 8, x= 25

Step-by-step explanation:

These are the answers. use pemdas for the distributive properties.

8 0
3 years ago
translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a num
Ksju [112]

Answer:

I think it'll be 5 + n = 11

11 - 5 = 6

n = 6

5 0
3 years ago
Read 2 more answers
In ΔOPQ, o = 58 cm, q = 13 cm and ∠Q=52°. Find all possible values of ∠O, to the nearest degree.
PSYCHO15rus [73]

Answer:

There is no possible triangles

Step-by-step explanation:

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​  

=  

b

sinB

​  

 

From the reference sheet (reciprocal version).

\frac{\sin O}{58}=\frac{\sin 52}{13}

58

sinO

​  

=  

13

sin52

​  

 

Plug in values.

\sin O=\frac{58\sin 52}{13}\approx 3.5157403

sinO=  

13

58sin52

​  

≈3.5157403O=\sin^{-1}(3.5157403)= \text{ERROR}

O=sin  

−1

(3.5157403)=ERROR

Sine cannot be greater than 1.

{No Possible Triangles}

No Possible Triangles

{}

{}

7 0
3 years ago
If a=3 and b=4 then ba=
yuradex [85]

Answer:

12

Step-by-step explanation:

"ba" means "b * a", where * is multiplication. So, we want to find the product of a and b.

We know a = 3 and b = 4, so we just plug these in: 3 * 4 = 12.

Thus, ba = 12.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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