The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,
Volume = (1/3) × A × h
The slant height is given as,
l² = (half of the side)² + h²
Given that:
Slant height, l = 17 ft
Side length, a = 16 ft
The height of the pyramid is calculated as,
17² = (16/2)² + h²
h = 15
The volume of the pyramid is calculated as,
V = 1/3 x 16 x 16 x 15
V = 256 x 5
V = 1,280 cubic feet
Thus, the correct option is A.
More about the volume of the pyramid link is given below.
https://brainly.com/question/17615619
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Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.
Solve. 4x - 2 ——— = -7 2
Answer:
x = -3
Step-by-step explanation:
Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.
[tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]
The area of a rectangular field is 6052 m².
If the width of the field is 68 m, what is its length?
Answer:
length = 89 mStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 6052 m²
width = 68 m
To find the length substitute the values into the above formula
6052 = 68l
Divide both sides by 68
We have the final answer as
length = 89 mHope this helps you
Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
the midpoint of Sally’s house and school. What coordinate represents Molly’s house?
A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)
Answer:
B. (−2, 3)
Step-by-step explanation:
To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.
x: (5 + (-9))/2 = -2
y: (-1 + 7)/2 = 3
Midpoint: (-2, 3)
Answer: B. (−2, 3)
Answer:
b
Step-by-step explanation:
-9+5=-4÷2=-2
-1+7=6÷2=3
please help with this math question
Answer:
E H
F F
G E
I hope I helped.
Find the length of MK¯¯¯¯¯¯ A. 7 B. 47 C. 19 D. 34
Answer:
19
Step-by-step explanation:
JH = 47 (70 - 23)
HM = 23
MK = 19 (42 - 23)
KU = 34 (81 - 47)
UC = 7 (47 - 40)
CN = 40
Answer:
19
Step-by-step explanation:
HM + MK = HK
23 + MK = 42
Subtract 23
MK = 42-23
MK =19
Quick guys! I appreciate the help!!
Home depot provides truck rental services. Tom goes to Homedepot to rent a truck for his move. They
charge a flat rate of $50 dollars for renting services and $10 per hour the truck is out. Tom returned the
truck after 6.5 hours. What is the entire cost for the rental service?
Y=x($10)+$50
Y=cost to rent truck
X=how many hours rented
Here is our equation: y = 10x + 50
Where x represents the hours that Tom rented the truck, and y represents the amount that Tom will spend to rent the truck.
We want to find out how much it will cost if Tom rented the truck for 6.5 hours. So, we are looking and solving for y in this case, because we know that Tom rented the truck for 6.5 hours, or the x value. To solve, all we have to do is plug in 6.5 for x into our equation and solve for y.
y = 10(6.5) + 50
y = 65 + 50
y = 110
The entire cost for the rental service is $110.
Hope this helps! :)
Answer:
The answer is $110.
Step-by-step explanation:
To start, you should write out the information you know in an equation. You know that Home Depot charges a flat rate of $50, so this is your constant (which means it doesn't change throughout the problem). You also know that it cost $10 per hour to rent the truck. Using this information, you can write out your formula of y=10x+50.
Next, you are trying to figure out the total cost, y, when Tom rents the truck for 6.5 hours. To do this, all you have to do is plug in 6.5 for x. This will give you y=10(6.5)+50. When you simplify this, you get y=65+50, so y=$110.
you
work.
Factor each expression. If the expression cannot be factored, write
cannot be factored. Use algebra tiles if needed. (Examples 4,5,6
4. 3x + 6
5. 2x - 15
6.12x+30y
Answer:
4) 3(x+2)
5) Cannot be factored
6)3(4x+10y)
Step-by-step explanation:
4)3x+6
3(x+2)
Proof:
3(x+2)
3x+6
5)2x-15
Cannot be factored.
6)12x+30y
3(4x+10y)
Proof:
3(4x+10y)
12x+30y
Hope this helps ;) ❤❤❤
what is the domain of the function shown in the graph below?
answer type: Interval, all real numbers, all values except one, all values except two
interval:
Answer:
all values except one (-2)
Step-by-step explanation:
The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.
Step by step on how to do this plz
Answer:
w=6
Step-by-step explanation:
First, we want to isolate the variable.
Add 6 on both sides
[tex]\frac{3w+5w}{2} =24[/tex]
Multiply both sides by 2.
3w+5w=48
Combine like terms.
8w=48
Divide both sides by 8.
w=6
I hope this helps!
pls ❤ and give brainliest pls
Graph the line 2x + 3y = 12
Answer:
your answer y=4 x=6
Step-by-step explanation:
I need help... please help me through this trigonometry. I need full answer.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan(x + y) = [tex]\frac{tanx+tany}{1-tanxtany}[/tex] , tan(x - y) = [tex]\frac{tanx-tany}{1+tanxtany}[/tex], tan [tex]\frac{\pi }{4}[/tex] = 1
tan2x = [tex]\frac{2tanx}{1-tan^2x}[/tex]
Consider the left side
tan([tex]\frac{\pi }{4}[/tex] + Θ ) - tan([tex]\frac{\pi }{4}[/tex] - Θ )
= [tex]\frac{tan\frac{\pi }{4}+tan0 }{1-tan\frac{\pi }{4}tan0 }[/tex] - [tex]\frac{tan\frac{\pi }{4}-tan0 }{1+tan\frac{\pi }{4}tan0 }[/tex]
= [tex]\frac{1+tan0}{1-tan0}[/tex] - [tex]\frac{1-tan0}{1+tan0}[/tex]
= [tex]\frac{(1+tan0)^2-(1-tan0)^2}{(1-tan0)(1+tan0)}[/tex]
= [tex]\frac{1+2tan0+tan^20-1+2tan0-tan^20}{1-tan^20}[/tex]
= [tex]\frac{4tan0}{1-tan^20}[/tex]
= 2 [tex]\frac{2tan0}{1-tan^20}[/tex]
= 2 tan2Θ = right side
Which data set could be represented by the box plot shown below?
Answer:
Step-by-step explanation:22
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
find the surface area of the composite figure. answer asap please :)
Answer:
144
Step-by-step explanation:
help me plx can somewon help me
Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.
2 + 7 = 9
Answer: 9 * 10^16
An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal AC to divide the piece of land into two parts. What will be the length of the wall? A. 65–√ units B. 6 units C. 237−−√ units D. 2 units
Answer:
[tex] 6\sqrt{5} units [/tex]
Step-by-step Explanation:
The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).
Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] A(-6, -2) = (x_1, y_1) [/tex]
[tex] C(6, 4) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]
[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]
[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]
[tex] d = \sqrt{144 + 36} [/tex]
[tex] d = \sqrt{180} [/tex]
[tex] d = \sqrt{36*5} [/tex]
[tex] d = 6\sqrt{5} [/tex]
The length of the wall = [tex] 6\sqrt{5} units [/tex]
Please multiply 6c(4)
Answer:
24c
Step-by-step explanation:
6 * c * 4 = 6 * 4 * c = 24c
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
24c
Step-by-step explanation:
6c * 4 is 24c. You multiply normally and make it c :)
DUDE I NEEED HELP FRIST ANSWER GET BRIANLY
Answer:
b and d
Step-by-step explanation:
Plzz help I’ll mark brainliest
Answer:
6cot 50
Step-by-step explanation:
Tan 50=6/x
x= 6/(tan 50)
x= 6cot 50°
Answer:
? = 6 cot 50
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 50 = 6 /?
? tan 50 = 6
? = 6 / tan 50
We know that 1 / tan 50 = cot 50
? = 6 cot 50
Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1 four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?
Answer:
[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]
Step-by-step explanation:
Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]
Yan has finished = [tex]\frac{3}{5} * 45[/tex]
=> 3 * 9
=> 27 problems
Yan has problem left:
=> 45 - 27
=> 18 problems
1 problem = [tex]1 \frac{4}{5}[/tex] of a minute
1 problem = 1.2 minutes
18 problems = 1.2 * 18
18 problems = 21.6 minutes
18 problems ≈ 22 minutes
Answer:
[tex]\boxed{\sf 32 \ minutes}[/tex]
Step-by-step explanation:
Yan finished 3/5 of 45 math problems.
[tex]\frac{3}{5} \times 45=27[/tex]
Yan finished 27 math problems.
[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]
Yan has [tex]45-27=18[/tex] problems left.
1 problem = 1.8 minutes
18 problems = [tex]1.8* 18=32.4[/tex] minutes
32.4 minutes to nearest minute will be 32 minutes.
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
HELLLLLLPPOP HELPPPP
Part a
60h ≤ 438
Part b
7.3 hours
Must click thanks and mark brainliest
5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.
Answer:
10 gallons.
Step-by-step explanation:
A leaky faucet is losing water and;
filling a 7-gallon bucket every 21 hrs.
So 7 gallons of water are leaked in 21 hrs
We are to find the number of gallons that will be leaked in 30 hrs.
Cross-multiplying this gives;
[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
PLEASE HELP!! I WILL GIVE BRAINLIEST AND 16 POINTS!!
Complete the equation of the line through (3,-1) and (4,7). Use exact numbers. What does "y" equal?
Answer:
lets start with finding the slope
m=7-(-1)/4-3
m=8
now we can choose either of the 2 points given and the slope and plug that into the point slope form
y-7=8(x-4)
y-7=8x-32
y=8x-25
and that is your equation
Answer:
y = 8x - 25
Step-by-step explanation:
The equation of a line is y = mx + b
To find the slope use y2-y1/x2-x1
When you plug it in it will be 7 + 1/4 - 3 (8)
Now it is y = 8x + b
Lastly you need to plug in a coordinate to the equation to find b
7 = 8(4) + b (-25)
Multiply (−7)(2)(−2).
a
−28
b
−14
c
28
d
14
Answer:
option(c) 28
Step-by-step explanation:
(−7)(2)(−2)
=> (-14) x (-2)
=> 28 [negative x negative = positive]
Hey there!
(-7)(2)(-2)
= -14(-2)
= 14(2)
= 28
Answer: 28
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)
Answer:
Shape 1: Trapezoid
A= h(a+b/2)
A=32
Shape 2: rectangle
A=lw
A=96
32+96=128
Let me know if this helps!
If the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.
Hey there! I'm happy to help!
Sine is a trigonometric ratio. It is the ratio of the opposite side of the angle to the hypotenuse. Since it is a ratio, it does matter how big or small the triangle is as long as the sides remain in proportion. If the opposite side is 4 and the hypotenuse is 5, the sine of x will be the same as it would be if the opposite were 16 and the hypotenuse were 20 because they simplify to the same ratio (4/5).
The sine (or any trigonometric ratio) of any number stays the same even if the triangle is dilated because the proportion between the sides stays the same no matter how big or small. So, they told us the answer at the beginning. The sine of angle x is 4/5.
Have a wonderful day! :D
Answer: 4/5
Step-by-step explanation: Took the test and got it right. I assumed it was the same because angles do not change after being dilated.
Which set below is the domain of
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}?
(AD {-3, 0, 4, 5, -2} (CD, {2,-1,4}
(3) -3,4,5,-2) (D) {2,-1,0,4}
Answer:
Domain { -1,0,2,4}
Step-by-step explanation:
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}
The domain is the input values
Domain { 2,-1,0,-1,4}
We normally write them in order from smallest to largest and no repeating
Domain { -1,0,2,4}
Answer:
[tex]\large \boxed{\sf D. \ \{2,-1,0,4\}}[/tex]
Step-by-step explanation:
The domain are all possible values of x.
[tex]\{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)\}[/tex]
The x values are 2, -1, 0, -1, and 4.
The domain of the set is {2,-1,0,4}.