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ehidna [41]
3 years ago
9

Please help me ASAP!!!! Find the value of x

Mathematics
2 answers:
adoni [48]3 years ago
7 0

Use Pythagorean theory

C^2 = a^+ b^2

In this case you have c and a

B^2= c^2-a^2

B^2 = 12^2-5^2

B^2= 144-25

B^2 = 119

Square root both sides

X= 10.90871

vodomira [7]3 years ago
4 0

This is a right triangle and to find the length of the missing side you must do pythagorean theorem:

a^{2} +b^{2} = c^{2}

a & b are the legs of a right triangle

c is the hypotenuse. This is the side opposite the right angle

In this case each value is:

a = 5

b = x---------------> This is what you are looking for

c = 12

^^^Plug these number into the pythagorean theorem

5^{2} +x^{2} = 12^{2}

25 + x^{2} = 144

Isolate x by subtracting 25 to both sides

(25-25) + x^{2} = 144 - 25

x^{2} = 119

The opposite of squaring a number is taking the square root of a number, so to isolate x take the square root of both sides.

\sqrt{x^{2} } } =\sqrt{119}

x = 10.9087121146

Then if the question requests it, you can round  10.9087121146

Hope this helped!

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In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *
denpristay [2]

Answer: there are 200 girls in the school.

Step-by-step explanation:

In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,

Total ratio = 4 + 5 = 9

If there are a total of 450 students, it means that the number of girls in the school would be

Proportion of girls/ total ratio × total number of students. Therefore,

The number of girls is

5/9 × 450 = 200

7 0
3 years ago
Gravitational potential energy and kinetic energy make up what type of energy?
Gnom [1K]

Answer:

A

Step-by-step explanation:

i hope this is right

3 0
3 years ago
Details
ale4655 [162]

Answer:

94 children, 64 students, and 47 adults attended the movie theater.

Step-by-step explanation:

Let; a be for adults, s for students, and c for children.

Make a system to solve for the amount of people.

c/a = 2

a + 2a + s = 205

3a + s = 205

Simplify.

s = 205 - 3a

s = 205 - 3a

c = 2a

Plug it in.

5c + 7s + 12a = 1482

10a + 7(205 -3a) + 12a = 1482

10a + 1435 - 21a + 12a = 1482

a + 1435 = 1482

a = 47

Substitute.

c = 2(47)

c = 94

Solve.

s = 205 - 3(47)

s = 64

5 0
2 years ago
A used CD is a dollar more than one third the price of a new CD. If a new CD costs $18, how much is a used CD
Veseljchak [2.6K]

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Step-by-step explanation:

8 0
3 years ago
What is the true solution to the equation below?
Naddik [55]
Yeeee

assuming your equaiton is
2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)


remember some nice log rules
log_a(b)=c translates to a^c=b
and
a^{log_a(b)}=b
and
xlog_c(b)=log_c(b^x)
and
ln(x)=log_e(x)
and
log(a)-log(b)=log(\frac{a}{b})
and
if log(a)=log(b) then a=b

so

we can simplify a bit of stuff here

the e^{ln(2x)} \space\ and \space\ the \space\ e^{ln(10x)} can be simplified to 2x \space\ and \space\ 10x

so we gots now

2ln(2x)-ln(10x)=ln(30)
ln((2x)^2)-ln(10x)=ln(30)
ln(4x^2)-ln(10x)=ln(30)
ln(\frac{4x^2}{10x})=ln(30)
same base so
\frac{4x^2}{10x}=30
\frac{2x}{5}=30
times both sides by 5
2x=150
divide both sides by 2
x=75
answer is x=75
5 0
3 years ago
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