A rectangle has an area of 31.2 square millimeters and a heigt of 5.2 millimeters. What is the length of the base ​

Answers

Answer 1

Answer:

6 millimeters

Step-by-step explanation:

The formula for a rectangle is length * height = area.

Since we know the area and height, we can plug it in to the formula:

length * 5.2 = 31.2

So the length is just dividing 5.2 in 31.2 which gives 6 millimeters.  


Related Questions

HELP ITS FOR RIGHT NOW!!!!!
You are building a tabletop. You will use the plan shown, except that you will make all dimensions 2 1/2 time as large. What will be the area of your tabletop?

Answers

Answer:

109.375

Step-by-step explanation:

We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.

For length:

[tex]5\frac{1}{4}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]

For width:

[tex]3\frac{1}{3}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]

Then to find the area use the equation:

A = l x w (Area = length x width)

And plug in the values:

A = [tex]13\frac{1}{8}[/tex]  x  [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375

If an article is sold for rs 99000 after discount of 10% on marked price and adding 10% of Value added tax VAT find marked price​

Answers

Answer:

100000 rupees

Step-by-step explanation:

x × 0.90 × 1.10 = 99000x = 100000

You want to know the average height of your three closest friends.
Should you survey the population or a sample?

Answers

Answer:

population

Step-by-step explanation:

Choose the correct graph of the function y=√x+1.

Answers

Answer:

[A}

Step-by-step explanation:

Graph using the end point and a few selected points.

x     y

0     1

1     2

2  2.41

Graph also below:

Find y intercept

[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]

[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]

y intercept=(0,1)

Option A

Please help asap! :)

Answers

Answer:

x= 11.57017697

x= 41.2

x=16.50849765

Step-by-step explanation:

sin40=x/18

=> x= sin40 *18

tan x = 14/16

=> x= 41.2

cos 32 = 14/x

=> x= 14/ cos32

What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.

Answers

Answer:

B and B

Step-by-step explanation:

A = bh

A = 15 × 8

A = 120 in²

A = bh

A = 20 × 13

A = 260 in²

The area of the parallelogram shown are 120 in² and 260 in².

What is the area of a parallelogram?

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram

A = bh

A = 15 × 8

A = 120 in²

Now,

A = bh

A = 20 × 13

A = 260 in²

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Does x/x+11 simplify to 1/11? Why or why not ?

Answers

Answer:

No.

Step-by-step explanation:

Because only x / 11x simplifies to 1 / 11

X and 11 are not the same, therefore you cannot simplify them

A sailboat leaves St. Thomas bound for an island in the British West Indies, 200 miles away. Maintaining a constant speed of 18 miles per hour, but encountering heavy crosswinds and strong currents, the crew finds after 4 hours that the sailboat is off course by 15°.
(a) How far is the sailboat from the island at this time?
(b) Through what angle should the sailboat turn to correct its course?
(c) How much time has been added to the trip because of this? (Assume that the speed remains at 18 miles per hour.)

Answers

The distance of the sailboat from the island at this time will be 131.78 miles.

How to calculate the distance?

The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:

a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)

a² = 72 + 200² - (144 × 200 cos 15°)

a = 131.78 miles.

The angle that should be used by the sailboat to correct its course will be:

= 180° - (sin 15°/131.78)

= 180° - 22.95°

= 157.05°

Learn more about distance on:

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1.
3 ft
2 ft
6 ft
what is the surface area of the rectangular prism?

Answers

The formula for the Surgace area of a rectangular prism is:
S = 2(lw + lh + wh)

l = length
w = width
h = height

Just plug in the values of the length, width, and height into that formula for the answer.

A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answers

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

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Seven times a number is between – 28 and 28.​

Answers

Answer:

four and negative four

Step-by-step explanation:

7*4 =28 7 *-4 = -28

Triangle ABC is similar to triangle WYZ.

Select all angles whose cosine equals 3/5.

Angle A
Angle C
Angle Z
Angle B
Angle W
Angle Y

Answers

The Angles that cosine are Angles A,C,Z,and W

Answer:

Angles A and W.

Explanation:

Cosine = Adjacent side/Hypotenuse

What is the exact value of tan(67.5°)?

StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot

Answers

Answer:

the answer is shown below

I truly hope this helps you -TJ

Step-by-step explanation:

here you go

Answer:

D

Step-by-step explanation:

Edge

pls help
Letf(x)=(x+2)2.

Letg(x)=3(x+2)2.



Which statement describes the graph of g(x) with respect to the graph of f(x)?



It is compressed horizontally by a factor of 3.
It is translated up 3 units.
It is stretched vertically by a factor of 3.
It is translated right 3 units.

Answers

The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.

g(x) is the same as saying y, so…
y=3(x+2)2

Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.

Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.

What is the MAD of this data ? Round to the nearest hundredth. 7, 14, 15, 9, 11, 14, 11, 10, 17​

Answers

2.67

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2

2 is the average absolute deviation.

So hence, your answer is 2.67

"The beautiful thing about learning is that no one can take it away from YOU"

B.B.King

a) Solve for x.
b) Then determine the angle measurement.

Answers

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T–4, 3(x, y).

On a coordinate plane, a rectangles has points A prime (negative 5, 4), B prime (3, 4), C prime (3, 1), and D prime (negative 5, 1).
Which points are vertices of the pre-image, rectangle ABCD? Select four options.

(–1, –2)
(7, 1)
(–1, 7)
(–1, 1)
(7, –2)

Answers

Answer:

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

Step-by-step explanation:

Find the coordinates of all  vertex

Solve:

(-1, -2 ) ⇒ this point is the vertex D of the pre-image

( 7 , 1 ) ⇒  this point is the vertex B of the pre-image

(-1, 7 ) ⇒ this point is not a vertex of the pre-image

(-1, 1 ) ⇒  this point is the vertex A of the pre-image

( 7 , -2 ) ⇒ this point is the vertex C of the pre-image

Thus, the answer is

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

~Lenvy~

Answers:

A ... (–1, –2)

B ... (7, 1)

D ... (–1, 1)

E ... (7, –2)

Step-by-step explanation:

Got it correct on Edge2020

Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.

Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.

Answers

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

How to determine the composite functions

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

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PLEASE EXPLAIN

Why is the unit in volume measured with units cubed instead of units squared?

Answers

Answer:

It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length

Step-by-step explanation:

Answer:

Volume is 3 dimensions

Step-by-step explanation:

Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.

Apply
7. Mr. Miller is tiling his shower floor. The blueprint of the shower
floor shown uses a scale of 1 inch 3 feet. If the tile costs
$5.99 per square foot, how much will it cost to tile the
bathroom? Round to the nearest cent if necessary. The bathrooms height is 1.25 inches in the blueprint. The bathrooms width is 1.5 inches in the blueprint

Answers

Answer:

$. 101.08

Step-by-step explanation:

[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]

                        [tex]=16.875ft^2X[/tex]

[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]

[tex]Cost=\$101.08y.[/tex]

I hope this helps you

:)

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

How to calculate area of the shower floor?

In that case we use the concept of area of rectangle.

The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.

In mathematical terms, the formula for calculating the area of a rectangle is:

Area = Length x Width

To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.

1 inch on the blueprint represents 3 feet, so:

Height of shower floor = 1.25 inches * 3 feet/inch

Height of shower floor = 3.75 feet

Width of shower floor = 1.5 inches * 3 feet/inch

Width of shower floor = 4.5 feet

The area of the shower floor is then:

Area = Height * Width

Area = 3.75 feet * 4.5 feet

Area = 16.875 square feet

So the cost of tiling the bathroom would be:

Cost = Area * Cost per square foot

Cost = 16.875 square feet * $5.99/square foot

Cost = $100.86

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

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1. Shaw High School is having a fundraising event. Products of equal value totaling $480 are sold to an audience of an unknown number of people. The entrance fee is $10.00 per person.
a. What equation gives the total cost per person y as a function of the number of people x, if everyone bought the same amount?
b. How many people must show up in order for the total cost per person to be $16?

HELP MEEEEEEEEEEEEEEEE

Answers

Answer:

10x=480    (x=48)

30 people must show up  for the total cost per person to be $16

Step-by-step explanation:

p= people

10p = 480    

($10 multiplied by the number of people)   10p

p = 48

  48 people bought $10 entrance

     $16 multiplied by the number of people  =16p  

16p = 480

p = 30

 30 people must show up  for the total cost per person to be $16

   

The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2

Answers

Step-by-step explanation:

12 is your answer

22/7 × 1.95× 1.95

you will get 11.9

round off to get

12

bai

Are the ratios 3:4 and 4:3 equivalent??

Answers

Answer:

Those ratios are not equivalent

Step-by-step explanation:

3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one

Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.

Answers

Answer:

d/dx x^4 + 4x^3 - 10

4x^3 + 12x^2

4x^3 + 12x^2 = 0

x = 0, -3

plug in x if you want the value

___________________cm

Answers

Answer:

10 cm

Step-by-step explanation:

mostly guess and check, 15 is 5 more than 10, and both added together is 25.

Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?​

Answers

Answer:

2 2/3 foot

Step-by-step explanation:

3x=8

x=8÷3

=2 2/3 foot

A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm

Answers

Answer:

26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one

The sum of three consecutive odd integers is 39. Find the three integers.

Answers

Answer:

11 13 15

Step-by-step explanation:

n + n + 2 + n + 4 = 39

3n + 6 =39

3n = 33

n = 11

the three odd integers are 11 , 13 ,15

Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).

Answers

Answer:

y = 4√2 ≈ 5.66z = 4√6 ≈ 9.80

Step-by-step explanation:

From the sine of the angle, the other trig function values can be determined:

  cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3

  tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2

__

Then the unknown side can be found from ...

  Tan = Opposite/Adjacent

  tan(B) = y/x

  y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66

__

And the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(B) = x/z

  z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80

Help please! How many cups for white paint on 1 then white paint on 10!

Answers

Answer:

1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8

Step-by-step explanation:

Its because 5/6 is .83 so for every 1 white there .83 red

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