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2 years ago

PLEASE HELP ALOT OF POINTSThe Pythagorean Theorem states "The square on the hypotenuse of a

Mathematics

1 answer:

mart [117]2 years ago

4 0

Answer:

choice C. Yes, this image proves the pythagorean theorem is true because 9 + 16 = 25

Step-by-step explanation:

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Which numbers produce An irrational number when added to 0.4

ad-work [718]

3pi is an irrational number; the other options are not.

4 0

4 years ago

Read 2 more answers

A gas station has a cylindrical fueling tank that holds the gasoline for its pumps, as modeled below. The tank holds a maximum o

IRINA_888 [86]

Answer:

$\boxed{ \text{10.9 ft}}$

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

V = 20 000 gal

h = 34.5 ft

Calculations:

I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.

(a) Convert the volume to cubic feet

V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³

(b) Calculate the radius of the tank

V = πr²h

r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²

r = √24.67 = 4.967 ft

(c) Calculate the diameter of the tank

d = 2r = 9.934 ft

(d) Calculate the length of the measuring pole

l = d + 1 = 9.934 + 1 = $\boxed{ \textbf{10.9 ft}}$

8 0

3 years ago

How do I find the radius of a circle?

Rina8888 [55]

Figure out the radius then divide it by two. The diameter is one end of a circle to another.

6 0

4 years ago

Read 2 more answers

A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories f

Hoochie [10]

Answer:

123.75 g

Step-by-step explanation:

You have three unknowns: protein (p), carbohydrate (c), and fat (f)

You need three equations for the three unknowns. They are

(1) p + c + f = 725

(2) 4p + 4c + 9f = 3500

(3) 4p + 9f = 0.45(3500) = 1575

Subtract (3) from (2)

4c = 1925

(4) c = 481.25

Substitute (4) into (1)

p + 481.25 + f = 725

(5) p + f = 243.75

Multiply (5) by 4

(6) 4p + 4f = 975

Subtract (6) from (3)

5f = 600

(7) f = 120

Substitute (7) into (3)

4p + 1080 = 1575

4p = 495

p = 123.75

The diet will include 123.75 g of protein.

Check:

$\begin{array}{rcl}\\123.75 + 481.25 + 120 &=&725\\ 725 & = & 725\\&&\\4(123.75) + 4(481.25) + 9(120) &=& 3500\\495 + 1925 + 1080& =& 3500\\3500 &=& 3500\\&&\\4(123.75) + 9(120) &=& 1575\\495 + 1080&=& 1575\\1575&=& 1575\\\end{array}$

It checks.

5 0

4 years ago

Is this parallel, perpendicular or neither y=4x + 3 and 4y + x = -1

serious [3.7K]

perpendicular lines

Find the equation of the line that is

perpendicular to y = −4x + 10

and passes though the point (7,2)

The slope of y=−4x+10 is: −4

The negative reciprocal of that slope is:

m = −1−4 = 14

So the perpendicular line will have a slope of 1/4:

y − y1 = (1/4)(x − x1)

And now put in the point (7,2):

y − 2 = (1/4)(x − 7)

And that answer is OK, but let's also put it in "y=mx+b" form:

y − 2 = x/4 − 7/4

y = x/4 + 1/4

Answer:

I think it's neither parallel nor perpendicular.

step by step explanation:

Two lines will be parallel when their slopes are equal, and two lines will be perpendicular when their slopes are negative reciprocals of each other. Our slopes for these two equations are the coefficient for the x value. Both slopes are not equal so these lines are not parallel.
Perpendicular Lines

Two lines are Perpendicular when they meet at a right angle (90°).

3 0

3 years ago