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Sloan [31]
2 years ago
5

An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Gennadij [26K]2 years ago
3 0

Answer:

The angles are 69.2 degrees and 20.8 degrees

Step-by-step explanation:

Complementary angles, when added together, = 90°

We’ll call the first unknown angle a and the second angle b

b = a - 48.4

a + b = 90

So let’s substitute in for b in the second equation:

a + a - 48.4 = 90

2a - 48.4 = 90

2a = 138.4

a = 69.2

69.2 - 48.4 = 20.8 = b

Now, does a + b = 90?

69.2 + 20.8 = 90

Lmk if you have questions

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0.06 because the product is 0.0624
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A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building. To the nearest foot, how hi
stiv31 [10]
Using the Pythagoras theorem 

15^2 = x^2 + h^2   where h = height of ladder on the nuiding

h^2 = 15^2 - 6^2  =  189

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3 0
2 years ago
Read 2 more answers
Lf x+1/x=12 then find the value of x3+1/x3​
Tresset [83]
Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332
4 0
3 years ago
Find the volume of the cone.
8_murik_8 [283]

Answer:

V=471\ \text{units}^3

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

V=\pi r^2 h

Substitute all the values,

V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3

So, the volume of the cone is 471\ \text{units}^3.

4 0
2 years ago
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

a_n=a_1+(n-1)d

For the 15th, term it will be

a_{15}=-3+(15-1)d\\53=-3+14d

Adding 3 on both sides

53+3 = -3+3 + 14d\\56 = 14d

Dividing both sides by 14

\frac{56}{14}=\frac{14d}{14}\\d=4

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

4 0
3 years ago
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