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notsponge [240]
3 years ago
13

Simplify this radical. V84

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

2\sqrt{21}

Step-by-step explanation:

84/4=21

Square root of 4=2

2\sqrt{21}

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a rectangular prism has a volume of 1374.28 cubic inches.The prism is 9.4 inches wide and 17.2 inches long.What is the height of
NISA [10]
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
V=lwh
Where l is the length, w is the width, and h is the height.

The height can be found by rearranging the equation to:
h= \frac{V}{wl}

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.
6 0
3 years ago
In a pen of goats and chickens, there are 40 heads and 150 feet. How many goats and chickens are in the pen?
s2008m [1.1K]

Hey there!!

A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet

For heads, total = 40

Let us take the number of chickens as ' x ' and goats as ' y '

x + y = 40 ------------- ( 1 )

2x + 4y = 150 ----------- ( 2 )

Multiply the first equation with 2

2x + 2y = 80

2x + 4y = 150

Subtract the first equation from the first

2y = 70

y = 35

Number of goats = 35

substitute this in other equation

x + y = 40

x + 35 = 40

x = 5

Number of chickens are 4

Hope it helps!

6 0
3 years ago
675/8 as a mixed number in simplest form.
Alex777 [14]

The answer is 84 3/8 because 672 and the left over 3 so it would be 84 3/8.

Hope I Helped!!!!!!!!

=)=)=)=)=)=)=)

8 0
2 years ago
Which pair of equations represents two perpendicular lines? <br>answers shown in picture. ​
kolezko [41]

Answer:

y =1/2x+6

y = -2x+2

Step-by-step explanation:

Perpendicular line have slopes that multiply to -1

The slopes are negative reciprocals

-4*4 = 16  not perpendicular

1/2 * -2 = -1  perpendicular

1/5 *5 = 1  not perpendicular

2/3 * 2/3 = 4/9  not perpendicular

3 0
3 years ago
What's 17⁄12 as a mixed number? <br><br> A. 1 5⁄12<br> B. 1 12⁄7<br> C. 1 7⁄12<br> D. 7 1⁄2
Tju [1.3M]

Answer:

A

Step-by-step explanation:

17 / 12

(12 + 5) / 12

12/12 + 5/12

1 5/12

8 0
3 years ago
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