1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
3 years ago
9

A contractor digs a hole for the basement of a new house that is 40 feet long and 10 1/2 feet deep. What is the width of the hol

e if 6,510 cubic feet of dirt are removed?
Mathematics
1 answer:
Ksju [112]3 years ago
9 0
Volume = L * W * D 6,510
= 40 * W * 10.5
 W = 6,510/(40 * 10.5)  
   = 15.5 ft
hope this helps
You might be interested in
If sin A = 3/8, find the value of cosec A - sec A.​
alexira [117]

Answer:

\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

Step by step explanation:

\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies  1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\

\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}

\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

6 0
2 years ago
1. What would be the depth of water of 3/4 filled rectangular pool, if pool is 10 m long, 7 m wide and 8 m deep?
Vladimir79 [104]

Step-by-step explanation:

Area if the rectangular pool= 10m×7m×8m

= 560m³

3/4 of 560m³

3/4×560

= 420

Hence , the water occupies 420m³ place

7 0
2 years ago
I need help with this question​
eimsori [14]

Answer:

No idea for this question

4 0
2 years ago
-20y + 15 = 2 - 16y + 11
shtirl [24]
In order to answer this, we will first need to combine like terms on each side. on the left, you can leave them alone. however on the right, we will need to combine 2 and 11. this is 13. the right side becomes 13-16y. after that, we can add 20y to both sides. that equals 15=13+4y now we can subtract 13 from both sides. 2=4y. then we divide by 4 on both sides to find y. y=.5
7 0
3 years ago
A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form
sweet-ann [11.9K]

Answer:

(x+4)^2=28(y-3)

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution y=-4. The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is x=-4

The distance between the directrix and the focus is |10-(-4)|=14, so p=14 and the vertex is at point \left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)

Parabola goes in positive y-direction, hence its equation  is

(x-x_0)^2=2p(y-y_0),

where (x_0,y_0) is the vertex, so the equation of this parabola is

(x+4)^2=28(y-3)

8 0
3 years ago
Other questions:
  • Who do you write a function
    14·1 answer
  • Kai lives 3 kilometers from school, Brea lives 30,000 meters from school, and Cal lives 30,000 centimeters from school. Which st
    14·1 answer
  • I am 40 what is 25% of me
    6·2 answers
  • Tom and Jerry leave from the same place in opposite directions. Tom drives 38mph. Jerry drives 50mph. In how many hours are they
    15·1 answer
  • How would you solve this?
    9·1 answer
  • I need help with this math lesson ​
    9·1 answer
  • The drama club is showing a video of their recent play. The first showing begins at 3:45 p.m. The second showing is schedule at
    8·1 answer
  • Find the coordinates of the image<br> Ry=-1(p)<br> The image is _____?
    5·1 answer
  • i am even number smaller than 48 but not greater than 30 i am multiple of 6 and factor of 72 what number i am​
    12·1 answer
  • If a^3-1/a^3=4 then what is the value of a-1/a ??
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!