Find the work done when a crane lifts a ​-pound boulder through a vertical distance of feet. Round to the nearest​ foot-pound.

Answers

Answer 1

Answer:

72000ft-1b

hope it helps

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Related Questions

What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?

Answers

Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]32398=\frac{4}{3} \pi r^3[/tex]

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]

We can get rid of the exponent by square rooting by 3.

[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

[tex] \: \: \: \: \: \: \: [/tex]

Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles

Answers

Answer:

one square, four triangles

Step-by-step explanation:

It's a pyramid, so there's only 1 base.

A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.

there are three questions I am giving 15 points

Answers

a, c, d are the answers

Find the scope of the line renesented by the title, show all work

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Hi there!

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in any two points; plug in (9,2) and (3,-2)

[tex]=\frac{-2-2}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]

Therefore, the slope is [tex]\frac{2}{3}[/tex].

I hope this helps!

The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help

Answers

Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.

Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is 260.1 square inches.

What is the perimeter of rectangle?

The perimeter of rectangle is given by;

[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]

The sides of a rectangle are in the ratio 2:5.

If the longer side of the rectangle is 25.5.

The shortest side of the rectangle is;

[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]

The width of the rectangle is;

[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is;

[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is;

[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]

The area of the rectangle is 260.1 square inches.

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What is the area of this shape? Must use 3.14 as an approximation for pi :>

Answers

Let's split this up into two shapes: a half-circle and a triangle.

First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.

A = 1/2 * 3.14 * 8^2

A = 1/2 * 3.14 * 64

A = 3.14 * 32

A = 100.48 m^2

Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.

A = 1/2 * 12 * 8

A = 6 * 8

A = 48 m^2

Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.

100.48 + 48

148.48 m^2

Hope this helps!! :)

Step-by-step explanation:

area of the triangle

you know the height is 8 bc the radius of the circle is 8

[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]

area of the half circle

[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]

area of entire shape

[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]

Find the perimeter in inches

Answers

Answer:

25.7 in

Step-by-step explanation:

perimeter = 1/2(2)πr + 10 = 15.7 + 10 = 25.7 in

The angles of a trapezium are x, 2x, 3x
and 4x. Calculate the value of the second
smallest angle.​

Answers

(x+2x+3x+4x)=360 degrees
10x=360
x=36
Second smallest angle is 72 degrees

Stephen is taking a math test. There are 4 multiple choice questions, and each question has five possible answers. How many different
ways can Stephen complete the answer sheet?

Answers

The answer to this question is 20

Find the circumference and area of the circle. Use 3.14 for it. Round to the nearest hundredth it
7 m
The circumference of the circle is about
The area of the circle is about
m.

Answers

Step-by-step explanation:

hope this helped you :)) !!

What is the length of the hypotenuse?
12
5
X=
Help

Answers

Answer:

x = 13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = x^2

25+144 = x^2

169 = x^2

Taking the square root of each side

sqrt(169) = sqrt(x^2)

13 =x

Answer:

13

Step-by-step explanation:

[tex] \sqrt{5^{2} + 12^{2}} = \sqrt{169} \\ \\ \sqrt{169} = 13[/tex]

a²+b²=c²

Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)

Answers

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall

Answers

Answer:

dα/dt  =  - 0,25  rad/sec

Step-by-step explanation:

The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α  will be the angle between the ladder and the ground, then:

cos α  = distance between the wall and the down end of the ladder (x)  /  length of the ladder

cos α   =  x/ L

- sin α * dα/dt   =  dx/dt * L /L²

- sin α * dα/dt   =  dx/dt /L

When   the down end of the ladder is 8 ft apart from the wall

cos  α   =  8 / 10   =  0,8  then    cos² α  +  sin²α  = 1

sin² α  =  1 - cos²α        sin²α =  1 - (0.8)²    sin²α  = 0.36

sin α  = 0.6

dα/dt  =  ?

dx/ dt  =  3/2

L  = 10 ft

x  =  8 ft

By substitution

- 0.6*dα / dt   = (3/2) / 10

dα/dt  =  -  1.5 / 6

dα/dt  =  - 0,25  rad/sec

(-) means the angle is decreasing

I NEED THE ANSWER PLFAST PLEASE

Answers

Answer:

h

Step-by-step explanation:

multiplication and inference

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced

Answers

Answer:

25%

Step-by-step explanation:

25% us the answer. First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then: divide the decrease by the original number and multiply the answer by 100.

Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?

Answers

Answer:

$52

Step-by-step explanation:

Given data

Beth can buy T-shirts in packs of 5 for $5.55

Cost per shirt

=5.55/5

=$1.11

To buy 40 shirt

=1.11*40

=$44.4

In packs of 2 for $4.82

cost per shirt

=4.82/2

=$2.41

To buy 40 shirt

=2.41*40

=$96.4

Hence the best buy in packs of 5 for $5.55

and the cost per shirt is $1.11

He will save

=96.4-44.4

=$52

What is the Domain and Range of f(t)?

Answers

Answer: Hm 1 second

Step-by-step explanation: 1 sec

Answer number 7 and 8 I will pick the right answer

Answers

Answer:

grrrr

Step-by-step explanation:

An amusement park had 56,437 visitors the first year and 48,319 visitors the second year it was open. What was the total number of visitors for both years?

Answers

Answer:

104,758

Step-by-step explanation:

The area of a rectangle is 20 square units and its length is 5 centimeters. Find its perimeter

Answers

Answer:

18 centimeters.

Step-by-step explanation:

Since you already know the length (height) divide 20 by 5 = 4.

This gives you the width (4), add up all the sides ( 4 + 4 + 5 + 5).

The sum comes out to be 18.

3x+9y=12
-3x-6y=18
Solve the system by using elimination​

Answers

Answer:  (x, y) = (-26, 10)

This means x = -26 and y = 10 pair up together

===============================================================

How to get that answer:

Add the equations straight down. Think of having 3 separate columns for the three different like terms.

3x + (-3x) becomes 0x and that's just 0. So the x terms go away9y + (-6y) is the same as 9y-6y which turns into 3y12 + 18 becomes 30

After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.

Plug this back into any equation involving x and y. Solve for x

3x+9y = 12

3x+9(10) = 12

3x+90 = 12

3x = 12-90

3x = -78

x = -78/3

x = -26

We have found that x = -26 and y = 10 pair up together to form the solution.

-------------------

Checking the answer:

Plug (x,y) = (-26, 10) into the first equation

3x+9y = 12

3(-26)+9(10) = 12

-78+90 = 12

12 = 12

We get a true equation since the same thing is on both sides.

Repeat the same idea for the second equation

-3x-6y = 18

-3(-26) - 6(10) = 18

78 - 60 = 18

18 = 18

The second equation is true as well.

Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.

Answer:

-26, 10

Step-by-step explanation:

See the steps below:)

What is the relationship between circle A and circle B? part j

Answers

yes thank you! it helped

Evaluate 150 – (2 + x) when x = 2.
The value of the expression is

Answers

The value of the expression is 86.

To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.

Value = 150 - (2 + x)³

Keep the value of x in the mentioned expression

Value = 150 - (2 + 2)³

Performing addition inside the bracket to find the value

Value = 150 - 4³

Taking cube on Right Hand Side of the equation

Value = 150 - 64

Performing subtraction to find the value of equation

Value = 86

Hence, the evaluation will give the result 86.

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A rectangle has an area of 244.48 square meters and a base of 19.1 meters. What is the height ?

Answers

Answer:

12.8 square meters

Step-by-step explanation:

244.48/19.1=12.8

Find the value of ( 2x + 10

Answers

Answer:

Solution given:

x+x+10°+40°+2x+10=360[complete turn]

4x+60°=360

4x=360-60

x=300/4=75

now

2x+10=2×75+10=160° is your answer

Two ships leave a harbor at the same time. One ship travels on a bearing S14°W at 15 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far apart will the ships be after 3 hours?

Answers

Answer:

67.48 miles

Step-by-step explanation:

the angle between two ships =180°-75°+14°= 119°

the first ship travels for 15×3=45miles

the second ship trave 11×3=33miles

the distance between them after 3 hours=

√(45²+33³-2(45)(33)cos 119°)

=√(2025+1089+1440)

=√4554

= 67.48 miles

Aeg = 10 solve for g

Answers

^ is correct ! the person above

To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

Answers

Answer:

2.8 miles

Step-by-step explanation:

From the attached sketch of the solution diagram, let x = distance of plane from runway :

The sketch gives a right angled triangle ; hence, we can apply trigonometry :

To obtain x :

Sin θ = opposite / hypotenus

Sin 5 = 1266 / x

0.0871557 * x = 1266

x = 1266 / 0.0871557

x = 14525.720 feets

Converting feets to mile :

1 mile = 5280 feets

14525.720 feets = 14525.720 / 5280

2.751 miles

To the nearest tenth of a mile ; 2.8 miles

use the cross products property to solve the proportion 10/7 equals 8 / K what does k equal ​

Answers

Answer:

5.600

Step-by-step explanation:

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As used in this article, the word appeasement means ______.A. refusing to cooperateB. an agreement that is followedC. -a fair compromise-D. giving in to a bully's demands2. The actions described in this article took place ______.A. before World War IB. after World War IIC. between World War I and World War IID. during the Cold War3. Popular opinion about the policy of appeasement ______.A. never changedB. was very different in Europe than it was in the United StatesC. said that it did not do enough to prevent warD. was not the same after the war as it had been before the war4. Which happened first?A. Chamberlain negotiated with Hitler.B. Europe had high war debts from World War I.C. World War IID. Germany took over Czechoslovakia.5. In the 1930s, the United States ______.A. agreed with the policy of appeasementB. did not want to become involved in another warC. had a policy of isolationismD. all of the above6. 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In the third paragraph, the author discusses the role of asteroid strikes in mass extinctions primarily to undermine the value of expert judgments offered by paleontologists undermine the value of expert judgments offered by paleontologists A challenge a generalization made by certain astronomers challenge a generalization made by certain astronomers B suggest that volcanic eruptions are more destructive than asteroid strikes suggest that volcanic eruptions are more destructive than asteroid strikes C explain why volcanic eruptions are more common than asteroid strikes explain why volcanic eruptions are more common than asteroid strikes D acknowledge the merits of a position that he rejects Solve: 3.92 0.07 (Answer as a decimal) just some algebra questions that i don't know the answers to Analyze the graphs below. Which growth model would apply to a population of squirrels arriving on a new island? Assume the squirrels have no way to leave.Please explain if possible!! 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