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Alenkinab [10]
3 years ago
14

A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

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Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To
Assoli18 [71]

Answer:

Length of the rope = 15.6 ft.

Step-by-step explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma  right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒ (hypotenuse)=\sqrt{opposite^2+ adjacent^2}

⇒ Plugging the values.

⇒ h=\sqrt{12^2 + 10^2}

⇒ h=\sqrt{144 + 100}

⇒ h=\sqrt{244}

⇒ h=15.62 ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

6 0
3 years ago
Simplify <br> 1+tan^2 x / tan^2 x <br> a) sin^2 x <br> b) csc^2 x<br> c) sec^2 x <br> d) cos^2 x
rodikova [14]

Answer:

cosec²x is the answer

Step-by-step explanation:

\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x

5 0
3 years ago
My points r running out lol. but could someone be so kind and help once again please ????
Oliga [24]

Answer:

304.8

Step-by-step explanation:

914.4/ 3

4 0
3 years ago
Read 2 more answers
Dose 8 has more factors or 9
Doss [256]

Answer:

Factors for 8: 1, 2, 4, 8

Factors for 9: 1, 3, 9

So 8 has more factors

7 0
3 years ago
Amanda made $154 for 11 hours of work. At the same rate, how many hours would she have to work to make $252?
goldenfox [79]
For this question you can say: 
154/11 = 252/?
so ? is the hours she would work:
252*11/154 = 18 hours :)))
i hope this is helpful
have a nice day 
3 0
3 years ago
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