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otez555 [7]
3 years ago
13

What is the area of rhombus ABCD? do not round any steps

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
Because ABCD is a rhombus, ΔABC ~ ΔADC.

The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12

Therefore the area of ABCD = 2*12 = 24

Answer: 24

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-0.75-(-2/5)+0.4+(-3/4)
RSB [31]

-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

6 0
3 years ago
A cashier can ring up 12 items per minute. How long will it take the cashier to ring up 72 items? ​
Talja [164]

Answer:

So it will take 6 minutes to ring up 72 items.

Step-by-step explanation:

Well this seems pretty simple just have to reads the question and know what to find.

So what we know :

A cashier can ring up 12 items per minute

So :

1 minute = 12 Minutes

And we have to find :

How long for 72 items

So since we know he can do 12 in a minute and it is asking how many minutes it will take for 72 we can divide.

So :

72 / 12

=

6

So it will take 6 minutes to ring up 72 items.

I hope this helps!

If you have any questions or concerns feel free to message me or comment. :)

8 0
3 years ago
Trig identities how to prove 1- (sin^2x)/(1+cosx)= cosx
balu736 [363]
Both sides aren't equal because 1-sin^2x = cos^2x and cos^2x / 1+cosx can never equal cosx
3 0
3 years ago
3
Inessa [10]

Answer:

0.05, 0.5, 0.507, 0.57, 0.577

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What would be the answer to this?
Eddi Din [679]

Answer:

If you are looking for x it equals 80 degrees

Step-by-step explanation:

vertical angles are congruent

7 0
3 years ago
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