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hram777 [196]
2 years ago
14

Solve for m if m radical 3 = 30

Mathematics
1 answer:
kkurt [141]2 years ago
5 0

Answer:

10

Step-by-step explanation:

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The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find
julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49

This results into:

2l^2-l^2+14l-18l-81+49=0

l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

5 0
3 years ago
A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?
boyakko [2]

Answer:

75 km

Step-by-step explanation:

(50km/h)(1.5h) =<em> 75km</em>

7 0
1 year ago
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=70°, and OM = 3.3 feet. Find the length of MN to the nearest tenth of a foot.
QveST [7]

Answer:3.5

Step-by-step explanation:

8 0
3 years ago
Find the zeros of the function.
Verdich [7]
Smaller x = -2/5

Larger x = 5
7 0
3 years ago
Factor each Polynomial<br> <img src="https://tex.z-dn.net/?f=a%5E%7B2%7D-4a-24%2B6a" id="TexFormula1" title="a^{2}-4a-24+6a" alt
Keith_Richards [23]

Answer:

Correct answer:  (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

5 0
3 years ago
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