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Georgia [21]
3 years ago
14

What is the length of the hypotenuse

Mathematics
2 answers:
podryga [215]3 years ago
7 0
Pythagoras’ Theorem = a^2+b^2=c^2

c^2= 5^2+12^2
=25+144
=169

c= sqrt of 169
c=13

Hypotenuse=13cm
vovikov84 [41]3 years ago
3 0

Answer:

c=13

Step-by-step explanation:

12^2+5^2=c2

144+25=c2

169=c2

Then you would square root it to get

c=13

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A Gardner is planting two types of trees
Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60

Dividing both sides by 6

\frac{10x}{10}=\frac{60}{10}\\x=6

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/3614284
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
4 years ago
Please help me answer thi question
FinnZ [79.3K]

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = \frac{3-3}{5-2} = \frac{0}{3} = 0

8 0
3 years ago
Show that sinxtanx=1-cos^2x/cosx
yawa3891 [41]
LHS: = \sin x \tan x =  \frac{\sin x \sin x }{\cos x} =  \frac{\sin^2 x}{\cos x} (using \tan x =  \frac{\sin x}{\cos x})

We know \sin^2x + \cos^2x = 1 \Rightarrow \sin^2x=1-\cos^2x so we can replace the sin²x in the LHS expression as follows

\frac{\sin^2x}{\cos x} =  \frac{1-\cos^2x}{\cos x} which is the RHS.
7 0
3 years ago
URGENT] <br>What is the perimeter of the figure? 28 m 22 m 20 m 14 m
egoroff_w [7]

Answer:

20m

Step-by-step explanation:

5+3+1+7+4=20

8 0
3 years ago
A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of
nalin [4]

Let s be the son's age 15 yeasr ago and m the mother's age that year.

s = \dfrac{m}{3}

We also know that:

m = s+30

Plotting vallues:

s = \dfrac{m}{3}\\\\\\3s = s+30\\\\2s = 30\\\\s = 15\\\\m = 45

Remember that they were that age 15 years ago.

So their actual age is 30 and 60.

8 0
3 years ago
Read 2 more answers
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