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Viefleur [7K]
3 years ago
13

Tyler created a fence post by gluing a rectangular prism to the base of a square pyramid. One jar of paint covers an area of 3 s

quare feet. If Tyler does not paint the bottoms of the fence posts, how many jars of paint will he need to paint 6 posts? Explain.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

404 jars of the paint will be required.

Step-by-step explanation:

From the figure attached,

Lateral area of the fence post = Lateral surface area of the rectangular prism + Lateral surface area of the square pyramid

Lateral surface area of the rectangular prism = Perimeter of the base × height

= (4 × 6) × 48

= 24 × 48

= 1152 square inches

Lateral area of the square pyramid = 4[Area of one lateral side (triangle)]

                                                          = 4[\frac{1}{2}(\text{Base})(\text{Height})]

                                                          = 4[\frac{1}{2}(6)(5)]

                                                          = 60 square inch

Total lateral area of the fence pots = 1152 + 60

                                                          = 1212 square inch

∵ 3 square inch of the fence post is painted by number of jars of paint = 1

∴ 1 square inch of the fence post will be painted by = \frac{1}{3} jars

∴ 1212 square inch fence post will be painted by = \frac{1212}{3}=404 jars

Therefore, 404 jars will be required to paint the fence post.

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25%?

Step-by-step explanation:

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3 years ago
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(1) A manufacturer of tires believes that their mean time to failure (MTTF) is 20 613 km. They also believe that time to failure
ELEN [110]

Answer:

a) The probability of falling in the warranty period is 11.6%.

b) The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.

Step-by-step explanation:

a) To fall within the warranty period, the tire has to fail before the 20,000 km.

To calculate the probability, we first calculate the z-value:

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Then, the probability of falling in the warranty period is:

P(X

b) To calculate this we have to go on from a P(z<z₁)=0.05. This happens for z=-1.645.

This corresponds to a value X of:

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The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.

5 0
3 years ago
Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = 9, 6 , b = −4, 6 orthogonal parallel neither (
labwork [276]

Answer:

(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal

Step-by-step explanation:

a and b are parallel is a=kb

a and b if a dot b = 0

(a) a dot b = (9)(-4)+6(6)=-36+36=0

  a and b are orthogonal

(b) a dot b = 40-7-21=12

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(c) a dot b = -12-108-48=-168

    a=kb  -> k=-3/4 satisfies the equation

    a and b are parallel

(d) a dot b= 9-3-6=0

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5 0
3 years ago
Can someone help me with this
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Ans57 , 58 , 59

Step-by-step explanation:

5 0
2 years ago
23--2c=41 sorry last question
svlad2 [7]
C=9 np if u need anymore I gotchu
8 0
3 years ago
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