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cluponka [151]
3 years ago
9

If these two shapes are similar, what is the measure of the missing length b?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

b = 54 cm

Step-by-step explanation:

We can use proportions if the shapes are similar

Take the same side lengths over each other.

81   cm            b cm

----------- = --------------

24  cm           16 cm


Using cross products

81 *16 = 24*b

Divide each side by 24

81*16/24 = 24b/24

54 =b

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One integer is 3 less than another. The sum of their square is 317. Find the integers
sergij07 [2.7K]
11*11=121
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4 0
3 years ago
Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
Please help and explain process too. Thank you!! ​
sergey [27]
The answer is x^2+2x-5

7 0
2 years ago
Which Answer is closet to the difference?
bearhunter [10]
Well the difference is -43 so I'm pretty sure it's gonna be A
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3 years ago
Read 2 more answers
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Answer:

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A lot

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