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scoray [572]
2 years ago
14

What is the length of EF in the right triangle below?

Mathematics
2 answers:
vazorg [7]2 years ago
8 0

Answer:

EF = \sqrt{120}

Step-by-step explanation:

Since this triangle is right, we can use the pythagorean theorem to find the missing side length. The pythagorean theorem states that the square of the hypotenuse(DE) is equal to the sum of the squares on the legs(DF, EF). We can write:

DE^2 = DF^2 + EF^2

and substitute the values:

17^2 = 13^3 + EF^2

289 = 169 + EF^2

EF^2 = 120

EF = \sqrt{120}

Elan Coil [88]2 years ago
8 0

Answer:

\sqrt{120}

Step-by-step explanation:

We can use the Pythagorean Theorem  to solve this question.

The Pythagorean Theorem: a^2+b^2=c^2, where a and b are the lengths, and c is the hypotenuse.

Using the image, we can write the equation: 13^2+b^2=17^2.

Simplify: 169+b^2=289.

Subtract 169 on both sides, we can know that b^2=120.

Square root on both sides, we can get b = \sqrt{120}.

Hope this helps!

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Hi there

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3 years ago
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The volume of a right cylinder is 27π cubic centimeters, and the high is 3 centimeters (cm). What is the radius of the cylinder?
Dmitrij [34]

Answer:

B

Step-by-step explanation:

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At a fundraiser, students sold chocolate bars with almonds and chocolate bars with walnuts. The number of chocolate bars with al
BabaBlast [244]

Answer:

Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.

Step-by-step explanation:

Let number chocolate bars with almonds be x

Also let number chocolate bars with walnuts be y

Given:

Number of chocolate bars with almonds that were sold one weekend was 3 less than 2 times the number of chocolate bars with walnuts.

Framing the above sentence in equation form we get;

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Also given:

The number of chocolate bars with walnuts plus 4 times the number of chocolate bars with almonds was 300.

Framing the above sentence in equation form we get;

4x+y=300

Now Substituting the value of x in above equation we get;

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Now we will substitute the value of y in equation x=2y -3 we get;

x=2y-3 = 2\times34.67 -3 = 69.34-3\approx66.34

Hence, Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.

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Step-by-step explanation:

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