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marshall27 [118]
3 years ago
5

Please help me with this algebra PLEEASSEee!!!

Mathematics
1 answer:
amid [387]3 years ago
5 0
11. 5x^2-30=0
+30 to both sides
5x^2=30
÷5 both sides
x^2=6
square root both sides
x= +square root 6 ,- square root 6

12. 4x^2+10=26
-10 both sides
4x^2=16
÷4 both sides
x^2=4
square root both sides
x=+2,-2

13. a=72yrd^2
l=2w
w=?
a=l×w
72=2w×w
72=2w^2
÷2 both sides
36=w^2
square root both sides
w=+6,-6
a measurement can't be - so w=6
Plug into l=2w
l=2×6

l=12
w=6
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Lets do equal fractions by multiplying and dividing them by a number:
(2/5)(3/3) = 6/15
= (6/15)(3/3) = 18/45
so these are equivalent:
2/5 = 6/15 <span>= 18/45
</span>
The fraction 12/15 is not equivalent to them, because there is no number that multiplying and dividing it gives the others.
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3 years ago
Work out the volume for this prism ​
melisa1 [442]
<h3><u>given</u><u>:</u></h3>

<u>area = 24 \:  {cm}^{2}</u>

<u>height = 8 \: cm</u>

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<u>v = area \: of \: cross \: section \times height</u>

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<u>v = 192 \:  {cm}^{3}</u>

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mina [271]

Step-by-step explanation:

the answer is 53 :))))))

7 0
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You are measuring the height of a water slide. You stand 58 meters fro. The base of the slide.You measure the angle of elevation
arlik [135]

Answer:

The height of a water slide is approximately 13 meters.

Step-by-step explanation:

We are given the distance from the base of slide that is 58 meters.

The angle of elevation from the ground to the top of the water slide is 13°

We are required to find the height of a water slide.

Refer to the attached diagram where a triangle has been constructed with respect to the given information.

Recall from the trigonometric Identities,

\text{Tan}(\theta) = \frac{opposite}{adjacent} \\\\\text{Tan}(\theta) = \frac{h}{58} \\\\

Where opposite is the unknown height of the slide, adjacent is distance from the base of slide and θ is the angel of elevation.

h = \text{Tan}(13)\times 58\\\\h = 0.2308\times 58\\\\h = 13.39 \: m\\\\or\\\\h = 13 \: m

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