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dlinn [17]
3 years ago
14

#3 - Find the exact value of X

Mathematics
2 answers:
inysia [295]3 years ago
8 0

Answer:

The answer to your question is x = 14

Step-by-step explanation:

Data

Right triangle

hypotenuse = h = 50

long leg = l = 48

short leg = x

Process

To find the value of x, use the Pythagorean theorem.

                  h² = l² + x²

-Solve for x

                  x² = h² - l²

-Substitution

                 x² = 50² - 48²

-Simplification

                 x² = 2500 - 2304

                 x² = 196

                 x = √196

-Result

                x = 14

pochemuha3 years ago
3 0
What are the angle measures?
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Use a proportion to determine the number of children age 5 in a kindergarten class if 80% of a class of 20 children are that age
igor_vitrenko [27]

Answer:

16 children

Step-by-step explanation:

80% of 20 children comes out to 16 children who are of age 5.

If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:

0.80(20 children) = 16 children.

4 0
4 years ago
A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
N76 [4]
If the series is made up of numbers in an arithmetic progression, you have

\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185

where a_1 is the first term and d is the common difference between terms.

Since the last term in the series is a_{18}=275, you have

a_{18}=a_1+(18-1)d\implies a_1+17d=275

Solve the system

\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}

and you'll find that the first term is a_1=190 (with d=5).
5 0
4 years ago
If y varies inversely as x2 and y = 100 when
love history [14]
Ans: (c)

y = k/x^2

when y = 100, x = 1
100 = k/1^2
k = 100

when x = 2,
y = 100/2
= 50

(u/rachelmarrons already gave you the answer but here’s a step-by-step explanation in case you needed it haha)
4 0
3 years ago
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
dedylja [7]

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

6 0
3 years ago
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