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3 years ago

6

While maneuvering through a curve, if you are going too fast, your tires might not have enough ____________ to grip the roadway

and prevent you from skidding out of control.

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

traction

Step-by-step explanation:

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The table shows the scores for four students on a math test. Who earned the highest grade?

geniusboy [140]

The answer is Mary, Mary got 88% Ben got 86% and Jim got 85%

7 0

3 years ago

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

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3 years ago

Read 2 more answers

Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction o

Nikitich [7]

Answer:

X = 13.13 feet

Step-by-step explanation:

Let the distance between Lila and Mark be x.

Let the distance between Avery and lila be A= 20

Let the distance between Avery and Mark be B= 30

Angle x = 200-180=20°

To solve this question we will use the cosine formula which is

X² = A²+ B² -2ABcosx

X²= 20² + 30² -2(20)(30)cos20

X²=1300-1127.6

X²= 172.4

X= 13.13

8 0

3 years ago

Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the orig

Ymorist [56]

Answer:

Final cost = 0.9328y

Step-by-step explanation:

Assume,

Original price = y

Given:

Discount = 22%

Sales tax = 6%

Computation:

Sales tax will be added on sale value

So,

Sales price = y[100%-22%]

Sales price = 0.88y

Price after sales tax :

Final cost = 0.88y[100% + 6%]

Final cost = 0.88y[106%]

Final cost = 0.9328y

8 0

3 years ago

Write a life situation for the inequality x<2

iVinArrow [24]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"

3 0

3 years ago