The surface area of a square pyramid is found using the formula 2003-05-05-00-00_files/i0080000.jpg, where b is the length of the base and h is the height. The surface area of a square pyramid whose base is 3 feet long is 51 2003-05-05-00-00_files/i0080001.jpg. What is the height of the pyramid, in feet?

Answers

Answer 1
Answer: Given:
base = 3 ft
surface area = 51 ft²
height = ?

surface area of a square pyramid = B + 1/2 nbl

n = number of triangle
b = base measure
l = slant height

51 ft² = (3ft)² + 1/2 * 4 * 3ft * l
51 ft² = 9ft² + (4*3ft / 2) l
51 ft² - 9 ft² = 12ft/2 * l
42 ft² = 6 ft * l
42 ft² / 6 ft = l
7 ft = l

height of the pyramid is 7 feet.

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Write an equation in slope-intercept form of the line shown in the graph below.A. y = -2x + 1 B. y = -4x + 2 C. y = 4x + 2 D. y = 2x - 2
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Glenn has 450 stamps that are red blue green. 52% are red. He has 3/5 as many green as blue stamps. How many are blue and how many are green.

Identify all sets to which the number -3/4 belongsa. rational numbers
b. odd numbers, whole numbers, integers, rational number
c. whole numbers, integers, rational number

Answers

Answer:

a. rational numbers

Step-by-step explanation:

we observe that -3/4 is a proper fraction (i.e it is a rational number)

hence

1) It cannot be a whole number

2) it cannot be an integer

therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.

Final answer:

The number -3/4 can be found within the set of rational numbers. It does not belong to the sets of odd numbers, whole numbers, or integers, as these contain only whole numbers.

Explanation:

The number -3/4 is a rational number. Rational numbers represent any number that can be expressed as a fraction or ratio of two integers, with a non-zero denominator. Sets like odd numbers, whole numbers, and integers are part of number systems that include only whole numbers, and given that -3/4 is not a whole number, it does not belong in these sets. Therefore, from the given options, the correct one is: The number -3/4 belongs to the set of rational numbers.

Learn more about Rational Numbers here:

brainly.com/question/32678084

#SPJ2

Angles help find values

Answers


Here's the rule.  I'm SURE you learned it in Middle School.  Or,
I guess I should say:  I'm SURE it was taught in Middle School.

                 Vertical angles are equal.

"Vertical angles" are the pair of angles that don't share a side,
formed by two intersecting lines.

AND ... even if you forgot it since hearing it in Middle School,
it was clearly explained in the answer to the question that
you posted 9 minutes before this one.


In #8, 'x' and 'z' are vertical angles.
         'y' and 116° are vertical angles.

In #9, 'B' and 131° are vertical angles.

In #10, 'B' and 135° are vertical angles.

For all of these, it'll also help you to remember that all the angles
on one side of any straight line add up to 180°.


Angles around a point = 360°
Opposite angles are the same

8. y=116°
   x=64° 
   z=64°

9.B=131°
   x=49°

10.B=135°
     x=45°

In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88. Write an equation to determine the original price per pound (p) and then find the original price per pound.

Answers

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars


Answer:

1.21=x

Step-by-step explanation:

Do

3 (x + 0.75) = 5.88

then 3x + 2.25 = 5.88

then 3x = 5.88 - 2.25

to 3x = 3.63

and last of allx = 3.63 / 3

Simplify this expression: 19 – (–8) – (–14) = ?
A. 41
B. –7
C. –3
D. 25

Answers

When you are subtracting a negative, you treat it as if you are adding a positive. So 19-(-8) would be 19 + 8 which is 27. Then do the same thing with the 14, so instead of 27 -(-14) it's 27 + 14 which is 41. So your answer is 41. I hope this helps! XD

Complete the conditional statement. If -2a > 6, then _____.

Answers

Answer:

a < -3

Step-by-step explanation:

-2a > 6

Divide each side by -2, remembering to flip the inequality

-2a/-2 < 6/-2

a < -3

Step-by-step explanation:

-2a > 6  \n a >  (6)/( - 2)  \n a >  - 3

Hope this helps

If 95% of the students are present in a school and the number of absent students is 25, find the total number of students in the school? (A) 500 (B) 400 (C) 600 (D) 450

Answers

Answer: Option A: 500.

Step-by-step explanation:

If 95% of the students are present in a school, then the number of absent students is 5% of the total number of students. We are given that the number of absent students is 25, so we can set up an equation:

0.05x = 25

Solving for x, we get:

x = 25 / 0.05 = 500

Therefore, the total number of students in the school is 500.

Therefore, the correct answer is Option A: 500.

Please let me know if there’s anything else I can help you with!