A contractor digs a rectangular hole for the basements of a new house that is 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet of dirt are removed?

Answers

Answer 1

Answer:

w = 2√155 ft ✅

Step-by-step explanation:

Given that:

depth (d) = 10½ ft

Volume (v) = 6,510 ft³

Find the width (w) of the hole!

If the base is a square, then

the width and the length of the base is 'equal', so the

Volume of a cuboid =

V = w²d

width = square root of the division of volume by depth

w = √(V/d)

w = √(6,510/10½)

w = √620

w = √(4×155)

w = 2√155 ft ✅

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Related Questions

please helps
Which function represents this sequence?

A.
f(n) = 4 ∙ 2n-1

B.
f(n) = 4n-1

C.
f(n) = 2 ∙ 4n-1

D.
f(n) = 2n-1

Answers

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

If I could have help with this that would be great :) i’ve been working on it for about an hour.

Answers

A. $58.50
B. $72.80
C. No

Members of a landscaping company built a retaining wall. They used brick to make the top ⅔ of the wall.

Answers

Answer:

The answer is "[tex]1\frac{5}{6}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]BH=\frac{2}{3} \cdot L[/tex]

       [tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]

Answer:

The answer would be 1 5/6 !

Step-by-step explanation:

solve for x in a triangle. Round your answer to the nearest hundredth

Answers

16cos(28). Type that in like last time.

solve for x , (2x-1)=5(x+1)

no links​

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

Write an equation in slope-intercept form: (1,6) and (2,3) are on the line

Answers

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540

Answers

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

a=-2 and c=3 find 2c+a

Answers

Answer:

Answer is 4 you have to substitute the a and c

Answer:

4

Step-by-step explanation:

If a= -2 and c= 3 then, 2(3) + -2.

6 + -2.

4.

Hope it helps!!!!!!!!! :))

A pizza shop has available toppings of anchovies, mushrooms, peppers, onions, olives, bacon, pepperoni and sausage. How many different ways can a pizza be made with 4 toppings?

Answers

Answer:

5

Step-by-step explanation:

just did it

Answer: 70

Step-by-step explanation:delta marh told me

What is the area of this figure?

Answers

Answer:

I think the area is 38

Step-by-step explanation:

area =38

Yea it might be 38.

After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?

Answers

Answer:

$67.2

Step-by-step explanation:

8% of $52.50

52.5 × 8/100 = $4.2

20% of $52.50

52.5 × 20/100 = $10.5

total

$52.5 + $4.2 + $10.5 =$67.2

6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?

Answers

Answer:

48

Step-by-step explanation:

please help! it’s 9:00 and i just want to be done...

Answers

Answer:

Step-by-step explanation:

1. 3/7

2. 1/5

3. 7 and 21

Answer:

1) 3/4

2) 1/5

3) 7 and 21

4) 9 tokens a day

5) 6 laps a week

A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?

Answers

Answer:

Step-by-step explanation:

sureface area of rectanglur object is the sum of the six sides

     Area = Length x Width

   SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area

                 + Right Side Area

        since the top and bottom have equal  area  =  long x wide

                  the front and back have equal  area    = long x tall

                  and both sides have equal area  =  wide x tall

              I summed the bottom front and side areas each times 2

   SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)

                 factor out the 2 and added the area formulas for the bottom front

                 and side

              = 2 [ (long x wide) + (long x tall) + (wide x tall)]

              = 2 [ (9 x 4) + (9 x 6) + (4 x 6)]

              = 2 [ (9)(4) + (9)(6) + (4)(6)]

              = 2(    36   +   54   + 24 )

              = 2( 114)

              =   ????    What is 2 times 114  ????       You can finish this part.

In a triangle the ratio of angles is 2:3:4 find the angles​

Answers

Answer:

40,60,80

Step-by-step explanation:

2x+3x×4x=180

9x=180

x=20

2x=40

3x=60

4x=80

IWILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)

Answers

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

please give brainliest to my answer

be sure to follow me

stay safe

What is the area of the trapezoid?

Answers

Answer:

26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26

Answer:

Step-by-step explanation:

(5+8)/2 = 13/2 = 6.5

6.5*4 = 26m²

The formula for the area of a trapezoid is the same as a trapezium :

(a+b)/2 *h = Area

An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

pls hurry will give brainlyest or whatever !!!

Which coordinate rule matches this description? Dilation of original by 5.

(5x, y)

(x+5, y+5)

(5x, 5y)

(x, 5y)

Answers

Answer:

D  (x,5y)

Step-by-step explanation:

What is the radius of a 0.8cm circle​

Answers

the radius of the circle should be 0.4
The radius of a 0.8cm circle is 4.0

Please someone help me with this... and please thouroughly explain, i have no clue what to do.

Answers

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

SOLVE: 3/4 x 4/5 = *

Answers

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

What is the surface area of the image below?

Answers

Surface Area = 2×(28.2×7.6 + 28.2×13.7 + 7.6×13.7) = 1409.56 feet2

Translate algebraic expression into a word phrase: 2 ( 5 + t )

Answers

Answer:

two times the sum of a number and 5

Step-by-step explanation:

24 college students were hired as ushers for a concert. This is 30% of the students who applied for the job. How many college students applied to be ushers

Answers

Answer:

80 students applied

Explanation:

24 ÷ 30 × 100

= 0.8 × 100

= 80

i hope this helps! :D do comment if you need any clarification.

Answer:

80 students

Step-by-step explanation:

if 30%=24

100%=?

100%/30%*24

=80

Solve (s−9)(s−1)=0. how do I solve this equation

Answers

Answer:

Step-by-step explanation:

Find the distance, c, between (0, 2) and (5, –2) on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer: 6.4

Step-by-step explanation:

d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt (41)

d = 6.4

A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes

Answers

Answer:

[tex]y = -3+ rx[/tex]

Step-by-step explanation:

Given

[tex]Base = -3C[/tex]

[tex]Time = x[/tex]

Required

Determine the equation (y)

Let the steady rate be represented with r.

So, the equation (y) can be determined using:

[tex]y = Base + Rate * Time[/tex]

[tex]y = -3+ r* x[/tex]

[tex]y = -3+ rx[/tex]

Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?

Answers

Answer:

50 percent

Step-by-step explanation:

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