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2 years ago

What is the height of a triangle if the base is 60 and the hypotenuse is 61?

Mathematics

1 answer:

lions [1.4K]2 years ago

8 0

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

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Pani-rosa [81]

Answer:

Step-by-step explanation:

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broken windnows9

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2 years ago

Using the answers from z^4=16 determine the solutions of the equation (x+1)^4=16(x-1)^4

Artemon [7]

i hope i have been useful buddy.

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3 years ago

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

2 years ago

Simplify each of the following ratios.<br>e) 2/3 : 3/2 : 5/8

Snezhnost [94]

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

6 0

2 years ago

Read 2 more answers

What is an expression to represent One minus the quotient of one and a number x.

Advocard [28]

Quotient is the result of a division.

1 - 1/x

8 0

2 years ago