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3 years ago

What is the area of the figure?

Mathematics

1 answer:

balu736 [363]3 years ago

4 0

The larger rectangle has an area of

<span>The smaller rectangle has an area of </span>

<span>If we combine these we will find the total area: </span>

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Harry purchased some fruits and sold 1/2 of them at a gain of 60% and 1/4 of them at a gain of 20%, the rest were spoiled. Find

kherson [118]

Answer: 35%

Step-by-step explanation:

Let the original price be "4x".

60% gain on 1/2 of them will be:

(1.60 × 2x) = 3.2x - 2x = 1.2x

20% gain on (1/4) of them will be:

(1.2 × x) = 1.2x - x= 0.2x

Total gain 1.2x + 0.2x = 1.4x

Total gain percent= Gain/Original price =1.4x/4x = 0.35 = 35%

5 0

3 years ago

Read 2 more answers

BRAINLYEST ANSWER

andrew-mc [135]

Answer:

Step-by-step explanation:

Multiply 13 into (10-6)= 13*4=52. Now find the number sentence that gives 52. This is B because 13*10 - 13*6 = 13*4 the original problem

3 0

3 years ago

One counting number is 4 times great as a counting number.The product of the two number is 36.What is the sum of the two number

VARVARA [1.3K]

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

${4y}^{2} = 36$

Dividing through by 4,we get

${y}^{2} = \frac{36}{4}$

${y}^{2} = 9$

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

3 0

4 years ago

Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

5 0

4 years ago

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

attashe74 [19]

The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24

8 0

3 years ago