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Alex787 [66]
3 years ago
6

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

ssing side length to a reasonable level of accuracy, explain your decision.

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

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Suppose the number of free throws in a basketball game by one player are normally distributed with a standard deviation 0.97 fre
babunello [35]

Answer: 1.960

Step-by-step explanation:

The value of z we use to calculate a confidence interval with a (1-\alpha) confidence level is a two-tailed test value i.e. represented by :-

              z_{\alpha/2}

Given : The level of confidence: 1-\alpha=0.95

Then, significance level : \alpha: 1-0.95=0.05

With the help of standard normal distribution table for z , we have

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.960

Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960

3 0
3 years ago
-2(8p+2)-3(2-7p)-2(4+2p)=0
zysi [14]

-2(8p+2)-3(2-7p)-2(4+2p)=0

mutiply the first bracket by -2

(-2)(8p)= -16p

(-2)(+2)= -4

mutiply the second bracket by -3

(-3)(2)= -6

(-3)(-7p)= 21p

mutiply the third bracket by -2

(-2)(4)= -8

(-2)(+2p)= -4p

-16p-4-6+21p-8-4p= 0

-16p+21p-4p-4-6-8= 0 ( combine like terms)

5p-4p-4-6-8= 0

p-4-6-8= 0

p-10-8= 0

p-18= 0

move -18 to the other side to get p by itself

sign changes from -18 to +18

p-18+18= 0+18

p= 0+18

Answer: p= 18

8 0
3 years ago
My question is 4 * 7/5th's
miskamm [114]

Answer:

5 and 3/5ths is the answer to your question

4 0
3 years ago
On number 4, how do you figure out if it's an enlargement or a reduction?
aalyn [17]
A and C is enlargement
B,D,E is reduction
7 0
2 years ago
How to solve 1-(-8)- 12/-3
Fudgin [204]

Answer:

ok so the answer is 13

Step-by-step explanation:

to solve you..

PEMDAS

PLEASE EXUSE MY DEAR AUNT SALLY

1-(-8)-12/-3

1-(-8)+4

1+8+4

9+4

13

!

HOPE THIS HELPED YA

4 0
2 years ago
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