A pyramid has a square base with sides that measure 10cm and a height of 14cm. What is the slant height of the pyramid?
A)17.2 cm
B)14.9 cm
C)13.2 cm
D)12.1 cm
The solution is, the slant height of the pyramid is 14.9 meters.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
we know that,
The slant height is the height of a triangle making up the base of the pyramid.
We can imagine a right triangle with one leg being a vertical line from the peak of the pyramid going down to the center of the base, and the other leg going from the center of the base to the center of one edge of the base.
And finally, the hypotenuse will join the ends of those 2 lines together and will also be the slant height of the pyramid.
Then we can easily use the Pythagorean theorem to determine the slant height.
So, S = sqrt((10/2)^2 + 14^2)
S = sqrt(5^2 + 14^2)
S = sqrt(25 + 196)
S = sqrt(221)
S = 14.9
So the slant height of the specified pyramid is 14.9 meters.
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Evaluate each expression for g=10 for both
9-4g+1
20gg + (8-5)
Use the distributive property with factoring to find the equivalent expression.
27x + 15y = ? (9x + ? y)
Please help! I don't understand!
Answer:
3;5
Step-by-step explanation:
One side of the equation is 27x + 15y, the number of the first blank times 9x needs to be 27x, so it has to be 3. And 3 times {blank} y needs to be 15y, so the second blank has to be 5.
Hope this helps! :)
Answer:
27x + 15y = 3(9x + 5y)
Step-by-step explanation:
27x + 15y = ?(9x + ?y)
3 times 9 = 27
so the first ? would be 3
27x + 15y = 3(9x + ?y)
15/3 = 5
so the 2nd ? would be 5
27x + 15y = 3(9x + 5y)
Simplify to check your work.
27x + 15y = 3(9x + 5y)
27x + 15y = 3(9x) + 3(5y)
27x + 15y = 27x + 15y
Given the inequality: x > -4
Would the graph include an open or closed circle?
Answer:
You would use an open circle.
Step-by-step explanation:
This is because it is not greater than or equal to it is just greater than.
There are 11 girls and 14 boys in a 5th-grade class. Of
these students, 6 girls and 9 boys are in the Running Club. What percentage of the students in this class are in the Running Club? (6.5B)
Group of answer choices
A. 60%
B. 75%
C. 80%
Answer:
A
Step-by-step explanation:
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.
Part A
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Part B
How much does each small bag of popcorn cost?
$
Answer:
Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
hope this helps!
The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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Hi everyone I really need help please
function or not a function?
Answer:
not a function
Step-by-step explanation:
in a function, the x value cannot be repeated
however, the y value can be repeated
4 painters can paint a room in 6 hours how long will it take 3 painters to paint the same room
Answer:
the answer is that it will take 3 panters 3.5 hours to pant that room
Step-by-step explanation:
The number of hours taken by the painter to paint the room will be 4.5 hours .
Given,
4 painters can paint a room in 6 hours .
Now according to the method of unitary,
If 4 painters can paint the room in 6 hours ,
Then
1 painter will paint the room in
6/4 hours
= 3/2 hours .
Now the number of painters are 3
So if 1 painter paints the room in 3/2 hours then,
3 painters will paint the room in
3*3/2
= 4.5 hours
Thus the number of hours required are 4.5 hours .
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Write the phrase "9 increased by a number x" as an algebraic expression
Answer:
9+x
Step-by-step explanation:
To write 9 increased by a number x, you need to know that when it says "increased by" it means adding.
So it is saying 9 is being added by x, or 9+x as an algebraic expression.
The phrase "9 increased by a number x" as an algebraic expression would be; 9+x
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We need to write the given phrase "9 increased by a number x" as an algebraic expression
Let the unknown number = x
To write 9 increased by a number x, we need to know that when it says "increased by" it means adding.
So it is saying 9 is being added by x, then
We can write it 9+x as an algebraic expression.
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The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $16 per month plus $0.04 per call
What is the surface area of this right rectangular prism with dimensions of 6 inches by 4 inches by 12 inches?
Answer:
288 in
Step-by-step explanation:
Original price: $295.57
Markdown: 76%
The sale price is $
PLSS I NEED HELPPPPPPP ASAP 30 points
Answer:
Both graphs are same. Look:
4x-8y = -24 / -4x
-8y=-24-4x / *-1
8y = 24 + 4x // 8
y = 1/2 x + 3
Step-by-step explanation:
Which of the following is the solution for the inequality below?
3x - 4 < -19
Answer:
x<-15
Step-by-step explanation:
you add 4 to each side so its 3x<-15 and then divide 3!
Answer:
X < -5
Step-by-step explanation:
3x - 4 < -19
( 3x - 4 ) + 4 < -19 + 4
3x - 4 + 4 < -15
3x < -15
3x/3 < - 15/3
x < - 3.5/3
x < -5
If u have 2 dogs on a couch 3 frogs on the ground , and 15 turtles on the ground how many legs are there all together
help plzzzzzzzzzzzzzzzz
Answer:
decimal form is -13.75 mixed fraction form -13 3/4
if the price of gas went from $3.499 a gallon to $3.079 a gallon what was the percent change in the price of the gas. was there an increase or decrease?
Answer:
The answer is decrease since the number went down.
The percent change should be -12 percent
Answer: decrease
Step-by-step explanation:
HELP PLEASE I REALLY NEED HELP
Answer my questions please please
The ratio of white cars to silver cars at a dealership is 4 to 3. If there are 100 white cars, what would be the total number of silver and white cars at the dealership?
What is 4,771,000,000 in scientific notation?
Answer:
4.771 × 109 on top
Liam is riding his bike at a rate of 7 miles per hour. He wants to beat his own-day riding record. To do so, he has to ride more than 32 miles. He's already ridden 4 miles.
What statement describes how many more hours liam must ride his bike to beat his record?
A. he must ride no more than 5 hours.
B. he must ride no less than 5 more hours.
C. he must ride more than 4 more hours.
D. he must ride fewer than 4 more hours.
Answer:
Im pretty sure the anwer is B.
Step-by-step explanation:
I really hope this helps! I think this is the answer, Have an AWSOME day :)
Which equation is a proportion?
1/3 = 1/4
3/4 = 6/9
5/8 = 20/32
7/9= 21/28
Answer:
C: [tex]\frac{5}{8}=\frac{20}{32}[/tex]
Step-by-step explanation:
None
Answer:
Option C
Step-by-step explanation:
Cross multiply each of the answers
Option C is right because 160 = 160 through cross multiplication
write the numerical expression. The difference between 8 forty-sevens and 7 forty-sevens. Write your answer with no spaces.
Answer:
47(8)-47(7)
Step-by-step explanation:
Answer:
Hope this helps! :)
Step-by-step explanation:
47(8)-47(7)
Give brainiest if you would like :)
CHECK ALL OF THE ONES THAT APPLY AS CORRECT ANSWERS!!! NOT JUST ONE!!!
Four points are graphed in the diagram. Which correctly describe the distances between the points in the graph? Check all that apply.
A coordinate plane with 4 points graphed. Point P is negative 2, 3. Point Q is 4, eleven. Point R is twelve, 3. Point S is 9, negative 1.
( ) PQ = 8
( ) PQ = 10
( ) QS = 12
( ) QS = 13
( ) SR = 5
( ) SR = 6
Answer:
PQ; 8
QS; 12
SR;5
Step-by-step explanation:
lmk if this is right
Answer:
B) PQ = 10
D) QS = 13
E) SR = 5
This is correct, I just did it.
A piece of equipment is designed to operate between the temperatures of -16 degrees and 98 degrees. What is the range of temperatures?
-82
114
-114
82
Answer:
82
Step-by-step explanation:
-16 absoulute value is 16, now 98 - |-16| = 82
Answer:
82
Step-by-step explanation:
I'm not to sure though because I'm only in 6th grade. Hope it helps! :) (But I'm accelerated)
If you could help that would be fantastic! Thank you!
Answer:
A
B
A
Step-by-step explanation:
hope this helps :•D
Please help ASAP it’s due in a few minutes.
Answer:
B is the grams of protein and cups of milk, 0 of each.
Answer:
1 a. The constant of proportionality is 1 cup of milk for every 8 grams of protein
1 b. 0 cups of milk for every 0 grams of protein
1 c. 4 Cups of milk for every 32 grams of protein
2 a. 1 for every 3
2 b. 1 for every 1
Step-by-step explanation:
yee hope this helped
On average, Upstate Chevrolet sells 20 cars each week, with a standard deviation of 2.
How many cars sold represents 2 standard deviations above the mean?
How many cars sold represents 1 standard deviation below the mean?
Approximately 68% will fall between __ and __
Approximately 99.7% will fall between __ and __
What is the probability that the car lot will sell at least 18 cars? __%
What is the probability that a car lot will sell at most 26 cars?__%
Answer:
first question is 10 other question it doesn't sound right to me
The answers to the blanks are as follows:
1) 18 and 22
2) 14 and 26
3) 84%
4) 99.85%
What is Standard Deviation?'The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.'
According to the given problem,
Number of cars sold each week = 20
Standard deviation = 2
= 20 + (2*2)
= 18
68% : 18 and 22
99.7% : 14 and 26
P( x ≥ 18 ) = 50% + [tex]\frac{0.68}{2}[/tex]
= 84%
P( x ≤ 26 ) = 1 - [tex]\frac{(1 - 0.99)}{2}[/tex]
= 99.85%
Hence, we can conclude that 68% will fall between 18 and 22 and 99.7% will fall between 14 and 26. We also concluded that the car lot will sell at least 18 cars is 84% and that they will sell at least 26 cars is 99.85%.
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