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Feliz [49]
3 years ago
9

Justify your answer

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

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nlexa [21]

Answer:

Business, management, marketing and technology.

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i am not sure but i hope it will help you.

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4 0
3 years ago
How do I graph {3,1,-1,-3}​
nalin [4]
This is very sloppy but u hope it helps
6 0
3 years ago
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
if your bag of M&amp;M’s has 8 yellow out of 24 , how many of them will be yellow i’d the bag has a total of 96?
Lera25 [3.4K]

Answer: 32

Step-by-step explanation:

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7 0
3 years ago
What is a possible value of sin(theta) when cos2(theta)=0.21
podryga [215]
We know that

cos²(theta)=0.21
sin²(theta)+cos²<span>(theta)=1
</span>sin²(theta)=1-cos²(theta)------> sin²(theta)=1-(0.21)-----> 0.79
 sin(theta)=√0.79
 sin(theta)=0.89

the answer is
the value of  sin(theta) is 0.89

6 0
3 years ago
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