A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answers
Answer:
AD is 6.5 units
Step-by-step explanation:
Find the diagram attached.
From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.
To get AD, we will use the pythagoras theorem as shown;
Hyp² = Opp² + Adj²
AD² = 6²+2.5²
AD² = 36 + 6.25
AD² = 42.25
AD = √42.25
AD = 6.5
Hence the measure of length segment AD is 6.5 units
Related Questions
what is 4km:370m in simplest form
Answers
Answer:
4.37 KM
Step-by-step explanation:
370 m to KM = 0.37 KM
then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.
Best regards
please help me like i really don't understand this and i really need help
Answers
Answer:
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Step-by-step explanation:
Given the vertices of ΔABC
A(-2, -1)B(1, 2)C(2, -4)Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).
We know that when the scale factor > 1, then the image is enlarged.
The formula to determine the dilation with a scale factor of 2.5.
P(x, y) → P'(2.5x, 2.5y)
Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.
In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.
Thus,
P(x, y) → P'(2.5x, 2.5y)
A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)
B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)
C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0
Answers
the triangle is highlighted around -6 and 6 on the x axis
Mr.Jamison will stain th deck
Answers
Answer:
yes???
Step-by-step explanation:
Sandy works at a clothing store.She makes $8 per hour plus 10% commission on her sales.She worked 79 hours over the last two weeks and had a total of 2,414 in sales before taxes.which of the following is closest to what she will earn?
$305
$241
$873
$632
Answers
is 2.63 a rational number?
Thats it. Thats the question
Answers
is 2.63 a rational number?
Thats it. Thats the question
no 2.63 is not
PLEASE ANSWER ASAP!!!!!!!!
Mark is in charge of the fundraiser for his church. He is selling pre-sale tickets for $10 and at-the-door tickets for $13. The venue has the capacity to hold 275 people. The graph represents the number of raffle tickets he needs to sell to offset the upfront costs and raise at least $3,100:
Graph with x axis labeled pre sale tickets and y axis labeled at the door tickets. There are two lines intersecting at one hundred fifty eight and three hundred thirty three thousandths and one hundred sixteen and six hundred sixty seven thousandths.
What is the minimum number of at-the-door tickets he needs to sell to make his goal?
159
158
117
116
Answers
Answer:
The answer to the question above is he needs a minimum of 117 tickets to reach his goal
Step-by-step explanation:
This is true because of the at-the-door tickets it shows on graph 116.667, and in order to find the minimum amount we need to round, and in this case round up, thus when we round we are left with 117, therefore providing you with your answer 117.
Since I already have completed this on FLVS I will provide the courtesy of showing the answer directly from my exam.
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What is the minimum number of at-the-door tickets he needs to sell to make his goal?
159
158
117 --> This was my answer by the way.
116
Points earned on this question: 1
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Hope this helps and have a wonderful Evening
BRAINLIEST: Solve for x: x^3=25
Answers
Answer: decimal form is
2.92401773 or 2.92
Step-by-step explanation:
Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though
Step-by-step explanation:
PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER IF U HELP ME
Answers
Answer:
1st, 3rd
and 4th - "4th" from different answer :)
Step-by-step explanation:
Have a good day :)
Answer:
1,3 and 4
Step-by-step explanation:
write a rational number which has no reciprocal or multiplicative inverse.
Answers
Answer:
0.
Step-by-step explanation:
0 is the only number that has no reciprocal or multiplicative inverse.
A reciprocal / multiplicative inverse of a number means a number that when multiplied by the original number will equate to 1.
However, no matter what you multiply with 0, it will never be 1.
Hence, the answer is 0.
Hope this helped!
PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.
Answers
x^2 = 625 - 484 <=>
x^2 = 141 <=>
x = 11.9
The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given triangle has a hypotenuse of 25 units and a height of 22 units.
Therefore,
Hypotenuse² = Base² + Height².
Base² = Hypotenuse² - Height².
Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].
Base = [tex]\sqrt{25^2 - 22^2}[/tex].
Base = [tex]\sqrt{625 - 484}[/tex].
Base = [tex]\sqrt{141}[/tex].
So, The length of the base is [tex]\sqrt{141}[/tex] units.
learn more about Pythagoras's theorem here :
https://brainly.com/question/10174253
#SPJ2
Jennifer drove to her aunt's house, which is 325 miles away. If it took her 5 hours and she drove at a constant rate, what was Jennifer's speed in miles per hour?
Answers
So the answer is 65 miles per hour
To double check you multiply 65 and 5, which equals 325, so the answer is correct.
Please help me thankso
Answers
Answer:
68, 17, $17
Step-by-step explanation:
filling in the first blank using the chart. Money made for 4 sweatshirts is $68
68/4=17, this is the unit price, meaning the amount it would cost for one sweatshirt. Thats where we get the next blank's answer. 17/1 and since we found the unit price, we already answered the last question, $17 per sweatshirt.
the triangles have the following coordinates: A(2,4), B(2,10), C(10,10), F(14,13), G(14,16). Find the coordinates of H.
Answers
Answer: A
Step-by-step explanation: because I got the correct answer
Graph the following linear equations using the method of your choice.
55. Y= -2/3x+8
Answers
Answer:
How would we graph on the app?
how many solution does following equtitions have 7x+21=21
Answers
One solution.
[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]
If we can solve for the value of x. Then the solution would be one only for system of linear equations.
For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.
When the equation is false or rather say that both sides have different number or value then there won't be any solutions.
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answers
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
PLEASE HELP !!
221-w=272
What is w??
Answers
Answer: W= -51
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-51
Step-by-step explanation:
2 minuses equal plus
help for brainliest plsssssssssssssssssssssssssssssssssss
Answers
Answer:
32 canned goods per tub. There was one can left over.
Step-by-step explanation:
Answer:
32 in each tub with 1 left over I'm pretty sure
Step-by-step explanation:
think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over
heeeeelppp please, :) please
Answers
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
if its right i’ll give brainliest!!
Answers
Answer:
6.5
Step-by-step explanation:
Square 42
[tex]\sqrt{42}[/tex]=6.48074....
rounded to the tenth is 6.5
Hope this helps!
The supplement of an angle is three times the measure of the angle.
What is the measure of the angle?
The measure of the angle is degrees.
The measure of the supplement of the angle is degrees.
Answers
Answer: The angle equals 45 ∘ and the supplement is 135 ∘
Explanation:
Since the supplement is three times the angle, we can say s = 3 a
Since we know the supplement is
180 − a , we can plug that in.
180 - a = 3a
180 = 4 a (add a to both sides)
45 = a (divide both sides by 4)
Since we know the angle now, all we have to do is multiply it times 3 to find the supplement.
45 × 3 = 135
Can anyone please solve this?
Answers
2. wait until i get the answer
3. read my answer
4. use my answer
5. get it wrong
6. start crying lol
What is the circumference?
16 yd
Answers
Answer:
16 yd
Step-by-step explanation:
I will assume 16 yards is the diameter, meaning 8 is the radius.
Circumference is 2πr, or the diameter itself. So, the circumference is 16.
I'm still not sure what measure 16 yd is, or what circumference of a shape you're looking for. Reply to my answer and I'll fix it.
Hopefully this will help you
Someone pls help me!!!I need help ASAP:/
Answers
Answer:
$40 per hour
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
Your x-axis represents how many hours they work. Since the question asks for a single hour then go up 1 unit on the graph which brings you to $40.
Find the distance between (-1,4) and (5,7).
Answers
Answer:
(2, 5.5)
Step-by-step explanation:
Use the midpoint formula.
For K12 8th grade math
Answers
Answer:
(0,3) (-1,0) im sorry if this is incorrect
Step-by-step explanation:
Answer:
yeah, im not sure
Step-by-step explanation:
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
Answers
Answer:
-3000
Step-by-step explanation:
edge2021
Answer: -3000
Step-by-step explanation: Did it on Edge and got it right!
Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1
Answers
Answer:
distribuative property of addition
Step-by-step explanation:
Answer:
I'm going to say expanded form
Step-by-step explanation:
Change in y:
Change in x:
Slope:
Answers
Answer:
a) 5, b) 6, c) 5/6Step-by-step explanation:
Use the two points from the graph:
(0, 0) and (6, 5)a) Change in y is:
5 - 0 = 5b) Change in x is:
6 - 0 = 6c) Slope is:
Change in y / change in x = 5/6