A triangular pyramid has a surface area of 336 square inches. It is made up of equilateral triangles with side lengths of 12 inches. What is the slant height?

Answers

Answer 1

Answer: Given:
Surface Area = 336 sq. inches
side lengths = 12 inches
equilateral triangles

find the slant height.

Area of an equilateral triangle = √3/4 * a² = √3/4 * (12in) = 62.35 in²
Perimeter = 3 a = 3 * 12 = 36 inches

Surface Area = Base Area + 1/2 Perimeter * Slant height
336 in² = 62.35 in² + 1/2 * 36 in * slant height
336 in² - 62.35 in² = 1/2 * 36 in * slant height
273.65 in² * 2 = 36 in * slant height
547.30 in² = 36 in * slant height
547.30 in² / 36 in = slant height
15.20 in = slant height.

Answer 2

Answer:

It is actually fourteen...you didvide 336 by 12 and since that slant is a triangle based shape you divide that by the quotient of 336\12, which is 14. Sorry if it’s a little confusing

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Which function is odd? Check all that apply.A. y = sin x
B. y = csc x
C. y = tan x
D. y = cos x

Answers

The odd function is

y = sin x

y = cos x

A function f is deemed weird if f(-x) Equals -f for any value of x. (x). A function is said to be an even function if f(-x) = f for any value of x. (x).

What do odd functions entail?

The meaning of odd function

T function where the absolute value does not change if the independent variable's sign is reversed but the sign of the function itself does.

If f(-x) = -f for any number x, a function f is considered strange (x). When f(-x) = f for any number x, a function is referred to as an even function (x). Even while most functions are neither odd nor even, some of the most significant functions are.

To learn more about odd function refer to:

brainly.com/question/18043852

#SPJ13

Answer:

A. y = sin x

B. y = csc x

C. y = tan x

Step-by-step explanation:

Fill in the blanks to the picture above

Answers

Middle one is the answer

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

PLS HELP 50PTS

SOLVE FOR X

Answers

Answer:

x= 13

Step-by-step explanation:

Answer:

x is 13

Step-by-step explanation:

An airplane has begun its descent for a landing. When the airplane is 150 miles west of its destination, its altitude is 25,000 feet. When the airplane is 90 miles west of its destination, its altitude is 19,000 feet. If the airplane's descent is modeled by a linear function, where will the airplane be in relation to the runway when it hits ground level?

Answers

The airplane has descended (25,000 - 19,000) = 6,000 feet
while flying (150 - 90) = 60 miles.

If the descent is modeled by a linear function, then the slope
of the function is

(-6000 ft) / (60 miles) = - 100 ft/mile .

Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
it still needs to fly

(19,000 ft) / (100 ft/mile) = 190 miles

to reach the ground.

It's located 90 miles west of the runway now. So if it continues
on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.

I sure hope there's another airport there.

Answer:

airplane will over shoot the runway by 100 miles (for USA Test Prep people)

Step-by-step explanation:

slope =

25,000 - 19,000

150 - 90

= 100

y = mx + b

25,000 = 100(150) + b

25,000 - 15,000 = b

b = 10,000

thus,

y = mx + b

0 = 100x + 10,000

-10,000 = 100x

x = -100

When the plane is at ground level (y = 0), it will be 100 miles past the end of the runway.

You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour

Answers

Answer:

u were paid 9 dollars an hour

Step-by-step explanation:

Which of the following x-values makes the inequality -4x + 9 ≤ -23 true?

Answers

Step-by-step explanation:

-4x<_-23-9

-4x<_-32

x>_-32/-4

x>_8

x=[8,positive infinity )

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