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Lostsunrise [7]
3 years ago
12

Find the area of the rhombus

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Check the picture below.

since in a rhombus the diagonals bisect each other, thus EC = EA.

now, the rhombus is simply 4 congruent triangles, we know the base and height of one of them, thus

\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=8\\ h=15 \end{cases}\implies A=\cfrac{1}{2}(8)(15)\implies A=60 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of all 4 triangles}}{4(60)\implies 240}

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Annette [7]
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3- three fourths minus the sum of a number and one half
HOPE THIS HELPS!!
4 0
3 years ago
3x + 7 = -3x -2<br> How many solutions does this equation have
galina1969 [7]
This equation has one solution which is -1.5

3x+7=-3x-2
+2. +2
3x+9=-3x
-3x. -3x
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/-6. /-6
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3 0
3 years ago
Some liquid will be poured from a 16 ounce container until it is filled to the percent of the the larger container (87.5%).How m
4vir4ik [10]

Answer:

16 ounces

Step-by-step explanation:

First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container

The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:

100/87.5×16 ounces= 18.285 ounces in liquid capacity

Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)

8 0
3 years ago
Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a perc
bazaltina [42]

I'll do the first two problems to get you started. All problems shown will use the same formula.

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

Problem 4

The formula to use is

C = 100*(B-A)/A

where

A = old value

B = new value

C = percent change

In this case, A = 12 and B = 36, so

C = 100*(B-A)/A

C = 100*(36-12)/12

C = 100*(24/12)

C = 100*2

C = 200%

We have a 200% increase. It is an increase because the value of C is positive.

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

Problem 5

Use the same formula as in the previous problem. This time,

A = 75 is the old value

B = 25 is the new value

C = 100*(B-A)/A

C = 100*(25-75)/75

C = 100*(-50/75)

C = 100*(-2/3)

C = -66.6667%

C = -66.7%

The value of C is negative, so we have a percent decrease of roughly 66.7%

8 0
3 years ago
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who ha
FromTheMoon [43]

Answer:

=0.291

Step-by-step explanation:

number of residents who have completed some college =5372

number of residents who has completed college and age group 20-29years=1563

1563/5372

=0.29095

6 0
2 years ago
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