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Marina CMI [18]
3 years ago
11

kyle is packing his things to move. He wonders if his 41 inch golf club will fit in a box that is 9 inches by 12 inches by 35 in

ches if he puts it in the box diagonally. Will kyle's golf club fit? explain your reasoning.
Mathematics
2 answers:
shutvik [7]3 years ago
6 0
3,780 because 35 x 12 = 420 and 420 x 9 = 3,780
jonny [76]3 years ago
3 0
Using the pythagorean theorem, a^2+b^2=c^2
a=35
b=12
c=?

1225+144=1369
square root of 1369 is 37

Therefore his golf club will fit because it is 35 inches long and the box is 37 inches long at an angle.  
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4x2x4 - 2×7×2 + 40

64 - 28 + 40=76

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Does the orderly pair -1,-10 satisfy the equation y=4x-9
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Sonja [21]

Answer:

B

Step-by-step explanation:

Since the triangle is right use the tangent ratio to find x

tan64° = \frac{opposite}{adjacent} = \frac{x}{11}

Multiply both sides by 11

x = 11 × tan64° = 22.55 → B

4 0
3 years ago
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou
Luda [366]
The complete question is
<span>Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
</span><span>If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure
</span>
we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16  ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
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the answer is
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7 0
3 years ago
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A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o
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Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

Step-by-step explanation:

Information given

\bar X=9.41 represent the sample mean

s=0.24 represent the sample standard deviation

n=81 sample size  

\mu_o =9.33 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:  

Null hypothesis:\mu \leq 9.33  

Alternative hypothesis:\mu > 9.33  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

4 0
4 years ago
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