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neonofarm [45]
3 years ago
6

A new sidewalk will be 4 feet wide, 100 feet long and filled to a depth of 6 inches 0.5 foot with concrete how many cubic yards

of concrete are needed
Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Remark

Find the number of cubic feet first, then convert that to cubic yards.

Solution

<em><u>Formula</u></em>

V = 4ft * 100 ft * 0.5 feet

V = 200 cubic feet

<em><u>Conversion Factor</u></em>

1 cubic yard = 27 cubic feet.

x cubic yards = 200 cubic feet

1/27 = x / 200       Cross Multiply

200*1 = 27*x

200/27 = x

x = 7.41 cubic yards.

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The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33
Tpy6a [65]

Answer:

The estimate for the proportion of Americans over 33 who smoke is 0.28.

Step-by-step explanation:

Proportion of Americans over 33 who smoke.

Number who smoke divided by the size of the sample.

In this question:

Sample of 1267.

913 don't smoke, so 1267 - 913 = 354 smoke. Then

p = \frac{354}{1267} = 0.28

The estimate for the proportion of Americans over 33 who smoke is 0.28.

7 0
3 years ago
One number is 2 greather than another. the product of the number is 80 . find the numvers
Oduvanchick [21]
The number is 82

       hope it helps

6 0
3 years ago
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

 

5 0
4 years ago
A granite block in the shape of a right rectangular
Gnesinka [82]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

3 0
3 years ago
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