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3 years ago

14

In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypote

nuse? A) v12 Units B) v14 units C) v84 units D) v116 units

1 answer:

kaheart [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Hypotenuse^2=4^2+10^2=16+100

Hypotenuse^2=116

Hypotenuse=square root of 116

units

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Correo electrónico Andrew tarda 720 segundos en ducharse. Pasa otros 420 segundos ¿Cuántos minutos se tarda Andrew en ducharse y

yarga [219]

Answer:Andrew tarda 19 minutos en ducharse y desayunar

Explicación paso a paso:

720 seg de ducharse + 420 segundos de su desayuno dan igual a 1140 segudnos

a este numero de segundos hay que pasarlo a minutos. El resultado es 19 minutos que son 1140 segundos

Step-by-step explanation:

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2 years ago

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2 years ago

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The circumference of circle 1 is 16 pi units. The circumference of circle 2 is 6 pi units. Which of the following is true about

Yanka [14]

Answer:

Area of Circle 1=>64(pi) units^2

Area of Circle 2=>9(pi) units^2

Step-by-step explanation:

Circumference=2(pi)r

Circle 1: 2(pi)r=16(pi)

Divide by 2(pi) on both sides

r=8 units

Area=(pi)r^2

Area of circle 1=>(pi)*(8^2)

Area of Circle 1=>64(pi) units^2

Circle 2: 2(pi)r=6(pi)

Divide by 2(pi) on both sides

r=3 units

Area=(pi)r^2

Area of circle 2=>(pi)*(3^2)

Area of Circle 2=>9(pi) units^2

3 0

2 years ago

Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length

nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

$\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}$

Upon substituting our given values in above equation, we will get:

$\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}$

$\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}$

$\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4$

$\text{Height of statue}=272\text{ inches}$

Therefore, the height of the statue is 272 inches.

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2 years ago

can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a

TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.

Slope-intercept form is y = mx + b. If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation. The slope formula is:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Using our points in question 5: (2, 4) (5, 4)

$m=\frac{4-4}{5-2} =\frac{0}{3}=0$ So m = 0. Now pick a point and use it in the equation along with the m value to solve for b. I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5). For a line to be parallel to another line, their slopes have to be identical. The slope in y = 3x + 6 is 3. So the slope of the "new" line is going to be 3 as well. Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11). For a line to be perpendicular to another line, their slopes have to be opposite reciprocals. Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down. The slope in our line is -4. That means that the perpendicular slope is positive 1/4. Using that along with our point, we will again solve for b:

$-11=\frac{1}{4}(-16)+b$ which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

$y=\frac{1}{4}x-7$

For question 8, in order to find the line parallel to the given line, you need to know the slope. In the form it is currently in, we do not know the slope. We need to put it into slope-intercept form to find the slope, then we will proceeed as above. If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

$y=-\frac{1}{4}x+\frac{3}{2}$

(The 3/2 is reduced from 6/4)

Now we can see the slope is -1/4. We use that along with the point (-8, 5) to solve for b:

$5=(-\frac{1}{4})(-8)+b$ which simplifies to

5 = 2 + b so

b = 3

Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:

$y=-\frac{1}{4}x+3$

6 0

3 years ago