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Ket [755]
2 years ago
11

A postcard in the shape of a parallelogram has an area of 12in^2. What are two possible lengths of bases and heights for the pos

tcard
Mathematics
1 answer:
Tpy6a [65]2 years ago
8 0

A postcard is in the shape of a parallelogram. A parallelogram  is a quadrilateral with two pair of parallel sides, opposite sides and opposite angles are equal.

Since, the postcard has an area of 12 square inches.

Since, area of parallelogram = base \times height

As area of parallelogram is 12, it means that the product of base and height is 12 square inches.

So, the possible dimensions of postcard are 3 inches and 4 inches and 2 inches and 6 inches.

So, base = 3 inches , height = 4 inches or base = 4 inches , height = 3 inches.

So, base = 2 inches, height = 6 inches or base = 6 inches , height = 2 inches.

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A coffee bean processor can dry 4,815 pounds of coffee beans in 3 hours which unit rate correctly reflects the speed of the proc
zimovet [89]

Answer:

605 pounds/hour

Step-by-step explanation:

Given that a coffee bean processor can dry 4815 pounds of coffee in 3 hours.

We have to find the speed of the processor

By speed of the processor here we mean the unit rate i.e. no of pounds of coffee beans that the processor can process in one hour.

This is a question of direct variation

Since we have for 3 hours 4815

for 1 hour =\frac{4815}{3} =605 pounds/hour

So answer is 605 pounds/hour

Verify:

If unit rate is 605 pounds/hour, for 3 hours =605(3) = 4815 pounds

Thus verified

7 0
2 years ago
Read 2 more answers
What three different equations that have x = 5 as a solution
Mars2501 [29]
5x=25 could be one.
25/x-3=2 is another.
And the last one could be x/85+7=24
5 0
2 years ago
Read 2 more answers
Your friend is trying to grow her hair as long as her cousin’s hair. The table shows their hair lengths y (in inches) in differe
Effectus [21]
<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month      Friends Hair(in)      Cousins Hair(in)
    3                     4                              7
    8                    6.5                            9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

(1) - (2) ⇒ -2 = -5m
\Rightarrow m= \frac{2}{5} =0.4

Substituting for m into equation (1) gives:

7=3(0.4)+c \\  \\ \Rightarrow c=7-1.2=5.8

Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
</span>
7 0
2 years ago
What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu
notsponge [240]

Answer:

The volume of the pyramid is 1,260\ cm^{3}

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

B=\frac{1}{2}bh

we have

b=14\ cm

h=18\ cm

substitute

B=\frac{1}{2}(14)(18)=126\ cm^{2}

step 2

Find the volume

we have

B=126\ cm^{2}

H=30\ cm

substitute

V=\frac{1}{3}BH

V=\frac{1}{3}(126)(30)=1,260\ cm^{3}

5 0
2 years ago
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On a map of the united states , 24 centimeters represent 18 miles .how many centimeters reprsent one mile. How long is the line
VladimirAG [237]
1.33 equals one mile and 24 centimeters. Also 18 miles is the actual distance. I hope this helped but i was a little confused but i am pretty sure the answers are right
3 0
2 years ago
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