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rjkz [21]
3 years ago
7

Quadrilateral ABCD is a rhombus with an area of 20 square inches.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

area of rhombus =1/2 d1×d2

20=1/2 ×10×d2

d2=4

intersection of diagonal make right angle and cut in equal parts

d1/2=10/2=5

d2/2=4/2=2

use Pythagoras in right angle to bide side

side^2= 5^2 +2^2

side = √29

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Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of h
bulgar [2K]
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday) 
This side of the equation would be - 
X + (X +3) + (2X + 1) 
That's monday plus tuesday plus wednesday. 
Then you would set up the other side of the equation. 
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined. 
2 + (5x) 
Two hours more than five times the amount of Monday (X) 

Now we put this together to have an equation 
X + (X + 3) + (2x+ 1) = 2 + 5x 
Now we need to collect like terms
4x + 4 = 2 + 5x 
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side 
4 = 2 + x 
Now I subtract 2 to get the numbers both on one side
2 = x 
So, Colby worked 2 hours on Monday.
6 0
3 years ago
Find the volume of the composite solid below round your answer to the nearest tenth
gladu [14]

First find the volume of the cylinder.

The formula is: V=πr²h

Plug the numbers in the figure into the formula.

V=πr²h

V=π×3²×10

V=π×9×10

V=π90

V=282.743

Therefore, the volume of the cylinder is approximately 282.7in³

Find the volume of the rectangluar prism.

V=lwh

V=12×7×4

V=84×4

V=336

Therefore, the volume of the rectangular prism is 336in³

Add the volumes:

282.7+336=618.7

The volume of the composite solid is approximately 618.7in^3

4 0
3 years ago
Solve Andre’s inequality 3x+10≤31<br><br> h ≥ 7<br> h ≤ 7<br> h &lt; 7
Blababa [14]

Answer:

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Step-by-step explanation:

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3 years ago
Lee wants to buy two pairs of shoes. One pair costs $37.07 and the other pair costs $42.48. A pair of socks cost $8.50. If Lee b
daser333 [38]

Answer:

$96.55

Step-by-step explanation:

The computation of the money he would require is shown below:

Since lee wants to buy both pairs of shoes and the two pairs of socks

So the amount of money he needed is

= $37.07 + $42.48 + 2 × $8.50

= $37.07 +  $42.48 + $17

= $96.55

5 0
3 years ago
Maria has $120 in her checking account. After depositing her paycheck of $215, she writes a check for $255 to cover her portion
Veseljchak [2.6K]

Answer:

Maria will have no money left. She will have a negative amount of money.

Step-by-step explanation:120+215= 335-255= 80-294= -214

6 0
3 years ago
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