A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches

Answers

Answer 1

Answer: For solving of the area of a square pyramid, we can use the formula below:
A=a²+2a sqrt (a²/4 +h²)
where s for the slant height, r for the a/2, where a is the side length and h for the height
Substitute the values,
A=40²+(2*40) SQRT (40²/4 +21²)
A=3920
The answer is 3920 for the area of the square pyramid.

Answer 2

Answer:

Answer with explanation:

Base of Pyramid which is in the shape of square ,having length of each side =40 inches

Height of pyramid = 21 inches

Slant height = 29 inches

Surface area of Square Pyramid

= Area of four Triangular faces +Area of Square base

Relation between Slant height (S), Length of base (B) and Height (H) of pyramid

$S=(√(B^2+4H^2))/(2)$

$29^2=\sqrt{(40^2)/(4)+21^2}$

So,this is a Square pyramid.

Surface area of Pyramid

$=B*(B+2 S)\n\n=B *(B+√(B^2+4H^2))\n\n=40 *(40+√(40^2+4* 21^2))\n\n=40 *(40+√(3364))\n\n=40 *(40+58)\n\n=40 * 98\n\n=3920$ square inches

Volume of Pyramid

$=(1* a^2* H)/(3)\n\n=(40^2 * 21)/(3)\n\n=1600 * 7\n\n=11200$ cubic inches

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An average football field has the dimensions of 160 ft by 360 ft. If the expressions to find these dimensions were (3x + 7) and (7x + 3) what value of would give the dimensions of the football field ?

Answers

Answer:

Step-by-step explanation:

Because that's what it is i might be wrong tho lol

ANSWER:47

HOW I GOT THE ANSWER:I think it the best because it make most sense and it seems correct hope this helps u it took long to get

Solve the system using substitution. Show your work.
y=-4x+2
x-2y=23

Answers

Answer:

1. y = -4x + 2

Now, we can substitute this expression for y into the second equation:

2. x - 2y = 23

Substitute the value of y from equation 1 into equation 2:

x - 2(-4x + 2) = 23

Now, simplify and solve for x:

x + 8x - 4 = 23

Combine like terms:

9x - 4 = 23

Add 4 to both sides:

9x = 27

Divide by 9:

x = 3

Now that we have found the value of x, substitute it back into equation 1 to find y:

y = -4x + 2

y = -4(3) + 2

y = -12 + 2

y = -10

So, the solution to the system of equations is:

x = 3

y = -10

What does the law of cosines reduce to when dealing with a right triangle

Answers

Answer:

Pythagoras Theorem

Step-by-step explanation:

For any triangle ABC, the law of cosine is given by

$c^2=a^2+b^2-2ab\cos C$

Now, let us suppose the triangle ABC is a right triangle having right angle at C.

Thus, C = 90°

Substituting this value in above formula

$c^2=a^2+b^2-2ab\cos 90$

We know that cos 90°= 0

Thus, the equation becomes

$c^2=a^2+b^2-2ab\cdot0\n\nc^2=a^2+b^2$

We can see that it reduces to Pythagoras Theorem.

Hence, we can conclude that law of cosines reduce to Pythagoras Theorem when dealing with a right triangle

The stock's value dropped from $38.50 to $34.00.What negative number shows the change in value?

Answers

$-4.50 change in value

Over the weekend, the All Smiles Run had 16,478 participants for the Half Marathon. The All Smiles 10K had 6,924 participants, and the 5-Mile Walk had 3,067 participants. How many more people participated in the Half Marathon than in the 10K race and the 5-Mile Walk combined?
a. 6,487
b. 6,587
c. 9,991
d. 12,621

Answers

6924
+3067
=9991

16478
- 9991
= 6587

The answer is b.

What is percent is 14 out of 25?

Answers

Answer:

56%

Step-by-step explanation:

14/25=0.56=56%

Answer:

The answer is 56

Step-by-step explanation:

Percentage Calculator: 14 is what percent of 25? = 56.

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Find value 40% of 25 is what number?