A rectangular field has a perimeter of 100 feet. Its length is 20 feet longer than its width.
What are the dimensions of the field?
O A. 15 feet by 35 feet
O B. 20 feet by 30 feet
O c. 35 feet by 55 feet
O
D. 40 feet by 60 feet

Given:

Width of a rectangular prism = 10 inches

Length of the rectangular prism = 16 inches

Volume of the rectangular prism = 1,120 cubic inches

To find:

The height of the rectangular prism.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=10,w=16,V=1120[/tex] in the above formula, we get

[tex]1120=10\times 16\times h[/tex]

[tex]1120=160\times h[/tex]

[tex]\dfrac{1120}{160}=h[/tex]

[tex]7=h[/tex]

Therefore, the height of the rectangular prism is 7 inches.

Answer:

write on each line....

equivalent, not equivalent, not equivalent

equivalent, not equivalent, equivalent

not equivalent, not equivalent, equivalent

Shade in each with what ever the fraction says to, for example 2/4 only shade in 2 boxes

Answer:

1=72   ,   2=108   , 3= 72   , 4=108

Step-by-step explanation:

c parallel to d means that 108 and 1 are adjacent angles , sum 180

therefore ang 1 = 180-108=72

2=108, corresponding angles,  

same as above for 3,  angle 3= 180-108 =72

2 and 4 are vertically opposite and are equal.

Answer:16

Step-by-step explanation:

Delta math

Answer:16

Step-by-step explanation:delta math

1/3 2/3 3/3

1/4 2/4 3/4 4/4

Standard form: 7z^4-6z^2-6z

This IS a polynomial, it's degree is 4 and has 3 terms

Answer:

Step-by-step explanation:

original price is x

Then the decreased price will be ' x - x/6'

= 5x/6

5x/6= 75

x= (75×6)/5

x= 90

original price = £90

Answer:

£90

Step-by-step explanation:

Since it was decreased by 1/6, it is 5/6 of the original price.

divide 75 by 5 to get 15.

15 is 1/6 of the price.

To get the full price, (6/6) multiply 15x6 and you will get 90.

Answer:

20100

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation

y = -1700x + 32000

Where x is the age of car and y is the value of the car.

Then value after 7 years can be calculated as follows,

y = -1700 (7) + 32000

y = -11900 + 32000

y = 20,100

So, the value of car after 7 years will be 20100.

Answer:

 x = 10

Step-by-step explanation:

P = 2(60 + x) + 2(30) = 200

   = 120 + 2x + 60 = 200

        2x + 180 = 200

          2x = 20

            x = 10

Answer:

students 4:9

teachers 5:9

Step-by-step explanation:

students 32:72 = 4:9

teachers 40:72 = 5:9

Answer:

D

Step-by-step explanation:

Answer:

-125,-626

Step-by-step explanation:

please mark brainliest

Answer:

He needs $13 more to buy all.

Step-by-step explanation:

With the information provided, you have to add the prices of all the items and subtract the amount they saved and the amount he was giving to be able to know the money he still needs to buy all:

(4+14+6)-10-1=24-10-1=13

According to this, the answer is that he needs $13 more to buy all.

Answer:

20

Step-by-step explanation:

Answer:

354294

Step-by-step explanation:

Use the formula

[tex]a_{n} = a_{1} r^{n - 1}[/tex]

In your problem [tex]a_{1}[/tex] = 6   r = -3    n = 11

11th term = [tex]a_{11}[/tex] = [tex]6(-3)^{11 - 1} = 6(-3)^{10}[/tex] = 6(59049)

                       = 354294

Answer:18

Step-by-step explanation:

Answer:

area of hexagon = 600√3 m²

explanation:

apothem² = 20² - 10² = 400 - 100 = 300

apothem of hexagon = √300 = 10√3 m²

area of hexagon = 1/2(6 x 20)(10√3) = 600√3 m²

Answer:

Step-by-step explanation:

One way to find the area of the hexagon is to use the formula [tex]A=\frac{1}{2}ap[/tex], where p is the perimeter and a is the apothem (distance from the center to the midpoint of one side).

The problem says the side length is 20, so the perimeter is 6 x 20 = 120.

The apothem is the distance marked by the dotted line. The rectangles height is [tex]20\sqrt{3}[/tex], so the apothem is half of that, [tex]10\sqrt{3}[/tex].

The area is [tex]\frac{1}{2}\cdot 10\sqrt{3} \cdot 120=600\sqrt{3}[/tex]

Step-by-step explanation:

AB = AC ( Given)

angle BAD = angle DAC. (AD bisects BAC)

AD = AD. ( common side )

abd is congruent to adc. ( SAS Axiom)

Answer: It's a Cube.

(Hope this helped!)

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers

Answer:4

Step-by-step explanation:

Answer:

(-10,6)

Step-by-step explanation:

Domain only refers to x values so for this problem you would simply put (-10,6) since -10 is the lowest value and 6 is highest value.

Answer:

7+4i+9+5i-2-5i

7+4i+9-2

4i+7+9-2

4i+14

Answer: 14 + 4i

Step-by-step explanation:

(7 + 4i) + (9 + 5i) - (2 + 5i)

Group the real part and the imaginary part of the complex number

(a + bi) ± (c + di) = (a ± c) + (b ± d)i

(7 + 9 - 2) + (4 + 5 - 5)i

7+9-2=14 and 4+5-5=4

Therefore, (7+4i)+(9+5i)-(2+5i) is equal to 14 + 4i

Answer and Step-by-step explanation:

We are given the word format of an equation.

Let's right it out in numerical form.

[tex]\frac{1}{4} (x + 10) = x - 4[/tex]

The first part says One fourth the sum of x and 10

The sum of x and 10 would be shown as x + 10, and one fourth of that means that [tex]\frac{1}{4}[/tex] is multiplying (x + 10).

In this case, identical would mean equal to.

So, [tex]\frac{1}{4}[/tex](x + 10) would be = to something.

It says that it is identical to x minus 4 (x - 4).

[tex]\frac{1}{4} (x + 10) = x - 4[/tex] is the equation.

#teamtrees #PAW (Plant And Water)

Answer:

(98.2884 ; 98.3116)

Step-by-step explanation:

Given :

x = 98.30°F and s = 0.61°F

Sample size. n = 103

Zcritical at 95% = 1.96

Using the confidence interval relation :

x ± margin of error

Margin of Error :

Zcritical * s/√n

1.96 * 0.61/√103 = 0.0116

Lower boundary = (98.30 - 0.0116) = 98.2884

Upper boundary = (98.30 + 0.0116) = 98.3116

(98.2884 ; 98.3116)

Answer:

L x W x H

Step-by-step explanation:

if my calculations are correct the length is 2 the width is 3 and the height is 3

Therefore the answer is (2 x 3) = 6 x3

So the answer is 18.

Hope it helps, if it is incorrect than i am extremely sorry, wish you the best of luck and have a great day/midday/evening. BYYEEEEEEE