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Anna007 [38]
3 years ago
15

Solve the right triangle. Round decimal answer to the nearest 10th

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
Cos ∠A = adj/hyp 
∠A = cos⁻¹ (adj/hyp)
∠A = cos⁻¹ (10/15)
∠A = 48.2° (nearest tenth)

sin ∠B = opp/hyp
∠B = sin⁻¹ (opp/hyp)
∠B= sin⁻¹ (10/15)
∠B = 41.8°(nearest tenth)

a² + b² = c²
BC² + 10² = 15²
BC² = 15² - 10²
BC² = 125
BC = √125
BC = 11.2 units (nearest tenth)


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What is the median of the data below?<br><br> 45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
VLD [36.1K]
To find the median, you will need to list the data from least to greatest and find the middle number.

19, 21, 23, 23, 28, 35, 45, 46, 51, 58, 60, 67

Cross out a number on both sides until you reach the middle number. In this case, we are left with 2 numbers that are in the middle since there is an even amount of numbers. 

When you reach the time where you have two middle numbers, we have to find the average of those two numbers. Our two middle numbers are 35 and 45. Since we have to find the average of those two numbers, we can add them. (35 + 45 = 80). Now, since we have two middle numbers, we have to divide them by 2. 
80 \div 2 = 40

Answer: \fbox {Median = 40}
4 0
3 years ago
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Find the value of x if DE is the midsegment of triangle ABC and
Varvara68 [4.7K]

Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

DE = \frac{BC}{2}

5x = \frac{11x-15}{2}

5x\times 2 = 11x-15

10x = 11x-15

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

                   

8 0
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Answer:

z=t and y = 4y -- 6 for any t?

5 0
2 years ago
Can you help me please
STALIN [3.7K]

Answer:

36

Step-by-step explanation:

Here we a given a rule

It say

x(y÷3)^2

And we are given the values of x and y as

x=4 and y = 9

Let us replace them in the rule we are provided with

4(9÷3)^2

Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .

We first divide 9 by 3

9÷3 = 3

Hence

4(9÷3)^2 = 4(3)^2

Now we square first

3^2 = 3 \times 3 = 9

4(3)^2 = 4 \times 9

4(3)^2 = 36

Hence our final answer will be 36

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3 years ago
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Sladkaya [172]
Here are you

Have a good day

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