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dezoksy [38]
2 years ago
15

jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

in square inches
Mathematics
1 answer:
skad [1K]2 years ago
4 0
Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
           Width = 10 1/2 or 10.5 inches long
           ? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches. 
Hope this solution helps. 
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2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
vekshin1

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the a^{4} terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12a^{4}

+ 5a² × - 7a² = - 35a^{4}

Summing gives

12a^{4} - 35a^{4} = - 23a^{4}

with coefficient - 23

5 0
2 years ago
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A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative
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d

Step-by-step explanation:

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2 years ago
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On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it
Elenna [48]

Answer:

957.71

Step-by-step explanation:

Given: On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it closed at 74.32. On Thursday, the change in stock value was -1.48. And, on Friday, Company ABC's stock gained 0.89points.

To Find: One shareholder owns 13shares of Company ABC's stock. What was the total value of their stock in this company at the close of Tuesday.

Solution:

Closing value of Shares of company ABC on Monday =74.01

Closing value of Shares of company ABC on Tuesday =73.67

Closing value of Shares of company ABC on Wednesday =74.32

on Thursday change in stock value was -1.48

Closing value of Shares of company ABC on Thursday =72.84

on Friday comapny's stock gained 0.89 points

Closing value of Shares of company ABC on Friday =73.73

As one shareholder owns 13 shares of company

Total value of shares on Tuesday is

                         =\text{number of shares}\times\text{closing stock value on tuesday}

                         =13\times73.67

                         =957.71

Hence total value of shareholder's share on close of Tuesday is 957.71

6 0
2 years ago
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th
Allushta [10]

Answer:

y>\frac{2}{3}x+3

Step-by-step explanation:

step 1

Determine the slope of the dashed line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-3,1) and (0,3)

substitute

m=\frac{3-1}{0+3}

m=\frac{2}{3}

step 2

Find the equation of the dashed line in slope intercept form

y=mx+b

we have

m=\frac{2}{3}

b=3 ---> given problem

substitute

y=\frac{2}{3}x+3

step 3

Find the equation of the inequality

we know that

Is a dashed line and everything to the left of the line is shaded

so

y>\frac{2}{3}x+3

see the attached figure to better understand the problem

8 0
1 year ago
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In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
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