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olga_2 [115]
3 years ago
8

A rectangle is 1/2 ft long and 3/4 ft wide. What is the area of the rectangle? Enter your answer as a fraction in the box.

Mathematics
2 answers:
Rudik [331]3 years ago
7 0
Area is equal to width times height. 

Height = .5 feet
Width = .75 feet

Area = (.75)(.5)= .375 feet^2

Area is always measured as a unit of measure squared. 
Reil [10]3 years ago
6 0
Area of a rectangle = length x width

A = 1/2 x 3/4
A = 3/8 ft

The answer is 3/8 feet :)
You might be interested in
The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i
nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600  Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0  Combine

-x^3+3x^2+900x- 2700 = 0           Group  the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0  Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0       Reverse -x^2 + 900 to  900 - x^2

(900 - x^2)(x - 3) = 0          factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

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

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


3 0
3 years ago
The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each
stira [4]

Answer:

50 Minutes.

Step-by-step explanation:

The function c approximates the total number of calls made after m minutes since the start of the phone tree.

c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)

We need to find the number of minutes after which the total number of calls will 363.

Substitute c(m)=363 in the given function.

363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)

Multiply 3/2 both sides.

363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)

242=3^{\frac{m}{10}}-1

Add 1 on both sides.

243=3^{\frac{m}{10}}

3^5=3^{\frac{m}{10}}

On comparing both sides we get

5=\frac{m}{10}

Multiply both sides by 10.

50=m

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.

7 0
3 years ago
Read 2 more answers
Evaluate (-9)+9 <br> please
Nookie1986 [14]
The answer should be 0
7 0
2 years ago
Read 2 more answers
an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length
vampirchik [111]

Answer:  15

<u>Step-by-step explanation:</u>

small:     5     12      13

middle:  __   36     39

large:    45   108    117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45    12(9) = 108    13(9) = 117

That is because the sides are proportional \dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}

To get from small to middle, multiply by 3  

5(3) = 15     12(3) = 36    13(3) = 39

To solve it using proportions:

\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x

7 0
3 years ago
Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
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