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alexira [117]
3 years ago
12

Over a half-mile stretch of road, there are 7 evenly spaced street signs. Find the distance

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

We know that:

Over a half-mile stretch of road, there are 7 evenly spaced street signs.

If we assume that there is a sign right at the beginning and another right at the end, then the distance between each sign will be equal to the total distance divided by the total number of signs minus one because the distance is measured in pairs of consecutive signs, if we have 7 signs, then we will have 6 pairs of consecutive ones ( 1st and 2nd, 2nd and 3rd, 3rd and 4th, ...)

(0.5mi)/6 = 0.83... mi

So, rounding to the second decimal after the decimal point, the distance between each sign is 0.83 miles.

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<em />\huge{\boxed{60\ \text{ft}^{3}}}<em />

<em>We will assume the tent is in the shape of a triangular prism.</em>

The volume of a triangular prism can be found with the following formula, where b is the width at the base, h is the height, and l is the length.

V=\frac{1}{2}bhl

Substitute in the known values.

V=\frac{1}{2}*5*3*8

Simplify — use multiplication.

V=\frac{5}{2}*3*8

V=\frac{15}{2}*8

V=\frac{120}{2}

Simplify — use division.

V=\large{\boxed{60\ \text{ft}^{3}}}

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3 years ago
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klemol [59]

Answer:

3x=78+(x-2)

Step-by-step explanation:

The complete question in the attached figure

we know that

The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

3x=78+(x-2)

solve for x

3x=76+x\\3x-x=76\\2x=76\\x=38^o

3 0
3 years ago
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Nina [5.8K]

Answer:

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Step-by-step explanation:

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2 years ago
32 is 40% of what number? Enter your answer in the box.
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DiKsa [7]

Answer:

-6s-c+1

Step-by-step explanation:

(-3s-4c+1)+(-3s+3c)

We have been given the above expression. To find the sum, we simply collect the like terms and combine them;

(-3s-4c+1)+(-3s+3c) = -3s + -3s -4c + 3c + 1

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Therefore;

(-3s-4c+1)+(-3s+3c) = -6s-c+1

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