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olga nikolaevna [1]
3 years ago
15

How much will it cost to pour a circular slab 18 ft in diameter by 3 in. For a patio if the concrete costs $40.00 per cubic yard

?
Mathematics
1 answer:
sasho [114]3 years ago
4 0
A circular concrete slab is a cylinder. Vol = pi%2Ar%5E2%2Ah
in this cylinder:
r = 18%2F2 = 9 ft
h = 3%2F12 = .25 ft
:


Find the volume in cu/ft:
V = pi%2A9%5E2%2A.25
V = 63.61725 cu/ft
:
Change to cubic yds; (1 cu/yd = 27 cu/ft) and multiply by $40:
Cost = 63.61725%2F27 * 40
Cost = $94.25


In practical terms , they may require you to buy 3 cu/yds , which is $120


Yan na po
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Reduce fraction: a^3+a^2b/5a times 25/3b+3a
Margaret [11]

ANSWER

\frac{5a}{3}

EXPLANATION

The given fractions are:

\frac{{a}^{3}  +  {a}^{2} b}{5a}  \times  \frac{25}{3b + 3a}

We factor to obtain:

\frac{{a}^{2}(a  +   b)}{5a}  \times  \frac{25}{3(a + b)}

We cancel the common factors to get:

\frac{{a}(1)}{1}  \times  \frac{5}{3(1)}

We multiply the numerators and also multiply the denominators to get:

\frac{5a}{3}

Therefore the two fractions simplifies to \frac{5a}{3}

3 0
3 years ago
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it
dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024             Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24     You should always round at the last step.

3 0
3 years ago
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Answer:

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3 0
3 years ago
There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the num
-Dominant- [34]

Hi there! Since the ratios of students at Hanover High School are in different scales, we need to scale them up! First, let's take the ratio 1:2. This can be scaled up to 5:10. Now, combine the two ratios to find the ratio of freshmen to sophomores. 3:10 + 5:10 = 8:10. The remaining number is 2, since 8 + 2 = 10, so the ratio of freshmen to sophomores is 2:10!

Hope this was helpful!

7 0
3 years ago
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