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:
Length of side AD is 6.5 units.
Step-by-step explanation:
Let the center of the rectangular base of the given pyramid is O,
From the picture attached,
m∠AOD = 90°
By applying Pythagoras theorem in the right triangle AOD,
AD² = AO² + OD²
AD² = 6² + (2.5)²
AD = √42.25
AD = 6.5 units
Therefore, length of side AD is 6.5 units.
Related Questions
please help asap!! Find the base
Answers
general sales tax in pakistan is a
Answers
Answer:
17percent
Hope this helped have an amazing day!
10000000000000000000x0 + 111111111111111111111111111111111111111111111111111111
Answers
Answer:
111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
If anyone can please answer and explain will mark the brainliest answer
Answers
Answer:
a) [tex]y=\frac{1}{3} \sqrt{x+4}[/tex]
b) [tex]y=4 \sqrt{x}+3[/tex]
c) [tex]y=\sqrt{2x}-6[/tex]
Step-by-step explanation:
Part a is the green curve
Part b is the purple curve
Part c is the red curve
The black curve is the equation of the graph [tex]y=\sqrt{x}[/tex]
just for reference
Perry is making a scrapbook with pictures of all his summer activities. He filled 6 pages with
24 pictures from his weekend at the beach. Perry has 44 pictures from his week at camp.
If Perry adds pictures to his scrapbook at the same rate, how many pages will he fill with his
camp pictures?
Answers
Answer: 188
Step-by-step explanation:
So first do
6 X 24=144+44=188
Tell me if I am right
Answer:
Step-by-step explanation:
11
Priya family exchangers 125 dollers for 4,250 pesos. Priya bought a sweater for 340 pesos how many dollers did the sweater cost
Answers
Answer:
The sweater costs 10 dollars.
Step-by-step explanation:
We can use proportion to solve this:
[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]
Can someone explain this to me please?
Answers
Answer:
Option C
Step-by-step explanation:
Since, measure of all sides of the triangle has been given in the picture,
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(BC)cos(B)
11² = 16² + 16² - 2(16)(16)cos(B)
121 = 256 + 256 - 512.cos(B)
121 - 512 = - 512.cos(B)
cos(B) = [tex]\frac{391}{512}[/tex] = 0.763672
B = [tex]cos^{-1}(0.763672)[/tex]
B = 40.2°
Therefore, measure of angle B is 40.2°.
Option C is the answer.
Two S-year old girls, Alyse and Jocelyn, have been training to run a mile racc Alyse's I mile A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's I mile time approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 sile race on a randomly selected day?
Answers
Answer:
Step-by-step explanation:
f(x) = 4x + 2; Find f (8)
Answers
Answer:
f(8) = 34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x + 2
f(8) is x = 8
Step 2: Evaluate
Substitute: f(8) = 4(8) + 2Multiply: f(8) = 32 + 2Add: f(8) = 34help please!!! asap!!
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Answer:
answer is opposite sides parallel and congruent theorem
*BRAINIEST & 25 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
*irrelevant answers will be reported*
Answers
Answer:
63 degrees
Step-by-step explanation:
All angles add up to 180
(5x+6) + (4x-6) + (5x-2) = 180
put like terms together
5x+4x+5x + 6-6-2 = 180
14x -2 = 180
add 2 to both sides
14x = 182
divide both sides by 14
x=13
angle G is 5x-2, so if x=13, angle G is 5(13) -2
= 65 -2 = 63 degrees
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and crown if right
Write an express for the perimeter of the figure shown by combing like terms.
Answers
Answer:
30c + 6 i believe
Step-by-step explanation:
What is 4×2 to the power of 2-2×2 to the power of two
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Answer:
1/4096
Step-by-step explanation:
[tex](4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}[/tex]
you work from bottom to top
HELPPPPPPPPPPPPPPPPP
Answers
Answer: We can't see the picture
Step-by-step explanation:
Q3) Jim is scuba diving. Jim started out 25 feet below the surface. He
descended 13 feet, and rose 7 feet. Then he rested. Find his position
relative to sea level?
Plz help me
Answers
Answer:
-31 feet
Step-by-step explanation:
so, -25 is the start point.
he goes anither -13 feet, so hes at -38.
he rises 7 feet, so hes at -31 feet.
Jim rested at: -35
какая фигура имеет ось симметрии и центр симетрий
Answers
Answer:
Проведите линию через форму, чтобы каждая сторона была зеркальным отражением. Когда фигура складывается пополам по оси симметрии, две половинки совпадают. На этой фотографии белая линия по центру представляет собой вертикальную ось симметрии.
Step-by-step explanation:
Which ordered pair is a solution to the system of equations?
Answers
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)
Answer:
(-3,-4)
Step-by-step explanation:
Write the following precent as a decimal 1/8%
Answers
Answer:
.125
Step-by-step explanation: To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .
Answer: 0.00125
Step-by-step explanation:
percent= decimal×100 therefore, decimal=percent/100 so 1/8 divided by 100 is 0.00125
Please help im bad at this pls dont just steal my points =(
Answers
Answer:
the slope is a positive and the point is (-1,-2) the equation is 3=(×1,2)
Step-by-step explanation:
if im wrong im so sorry
What is the area of rectangle VWXY?
Answers
Answer:
The area of the rectangle VWXY is 52 square units
Step-by-step explanation:
The formula of the area of the rectangle is A = L × W, where
L is the length of the rectangleW is the width of the rectangleIf a line segment has endpoints (x1, y) and (x2, y), then the line segment is horizontal and its length = x2 - x1If a line segment has endpoints (x, y1) and (x, y2), then the line segment is vertical and its length = y2 - y1From the given figure
∵ VWXY is a rectangle
∵ V = (3, -9) and W = (-1, -9)
∵ X = (-1, 4) and Y = (3, 4)
∵ Its length is WX or VY
∴ WX = VY
∵ Its width is VW or XY
∴ VW = XY
→ Let us find its length and its width
∵ Points W and X have the same x-coordinates
∴ y1 = -9 and y2 = 4
→ By using the 4th note above
∴ WX = 4 - -9 = 4 + 9 = 13
∴ L = 13 units
∵ Points X and Y have the same y-coordinates
∴ x1 = -1 and x2 = 3
→ By using the 3rd note above
∴ XY = 3 - -1 = 3 + 1 = 4
∴ W = 4 units
→ By using the formula of the area above
∵ A = 13 × 4
∴ A = 52 square units
∴ The area of the rectangle VWXY is 52 square units
Answer:
72
Step-by-step explanation:
This is also a rational and irrational worksheet so which one would it be?
Answers
jaime's older brother and his three friends want to split the cost of lunch. they also want to leave a 15%-20% tip. how much should each person pay?
cost of luch : $78.00
Answers
Answer:
31.2 Dollars.
Step-by-step explanation:
Answer:
23.4
Step-by-step explanation:
Max was fencing in his rectangular pool area. The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet. a) Write and simplify an expression for the perimeter of the pool area to be fenced in. Be sure to include the formula!
Answers
Answer:
(6x + 2) feet
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where L = Length
W = Width
Hence, the:
The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.
The perimeter of the rectangular pool =
2(2x - 3) + 2(x + 4)
= 4x - 6 + 2x + 8
= 4x + 2x - 6 + 8
= (6x + 2) feet
Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet
A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups
Answers
Answer:
The cost of each of the six cups is 2.50.
Step-by-step explanation:
The cost of each of the six cups can be calculated as follows:
Cost per cup = Total cost / Number of cups paid for ................. (1)
Where;
Cost per cup = ?
Total cost of cups = 15
Number of cups paid for = 6
Substituting the values into equation (1), we have:
Cost per cup = 15 / 6
Cost per cup = 2.50
Therefore, the cost of each of the six cups is 2.50.
Richard has 15 apples. He gave Pam 5/2 of them to bake a pie. How many apples did he give to Pam?
Answers
Answer:
2.5 or 2 1/2 apples.
Step-by-step explanation:
5/2 simplified will be 2.5 or 2 1/2.
If you look into it further, because Richard had 15 apples, you subtract 2 1/2 apples he gave Pam which would leave him with 12.5 or 12 1/2. But really the answer is two and a half apples.
Correct answer will get brainpower and +40 points! I need step by step instructions though wrong answers will get reported.
Q1: f (x) =2x - 9
Part A) Find f^-1 (3)
Part B) Find f^-1 (x)
These are the parts that need to be solved.
tysm for the help!
Answers
Answer:
Given :-f (x)=2x-9
To find:-[tex]\sf f^{-1 (3)}[/tex]
[tex]\sf f^{-1 (x)}[/tex]
Solution :-We need to find
[tex]f^-3 \\ f^{-x}[/tex]
[tex]\qquad{:}\longrightarrow\tt f^-3=2^{-3}-9 [/tex]
[tex]\qquad{:}\longrightarrow\tt -8-9 [/tex]
[tex]\qquad{:}\longrightarrow\tt f^{-3}=-17 [/tex][tex]\qquad{:}\longrightarrow\tt f^-x=2(-x)-9 [/tex]
[tex]\qquad{:}\longrightarrow\tt -2x-9 [/tex]
Multiply (-1)[tex]\qquad{:}\longrightarrow\tt f^{-x}=2x+9 [/tex]
Solve for x: -2x + 1 = -6
Answers
This is a 2-step equation. We will solve it in 2 steps.
[tex]-2x + 1 = -6\\\\-2x = -7\\\\x = \frac{7}{2}[/tex]
The solution for this equation is x = [tex]\frac{7}{2}[/tex].
Please help,
In a bowl of fruit, there are green grapes and black grapes in the ratio of 3:5. If there are 27 green grapes, how many black grapes are there.
Answers
Answer:
45
Step-by-step explanation:
27 DIVIDED BY 3 IS 9
SO 9 MULTIPLIED BY 5 IS 45
SO THE ANSWER IS 45
Fred added 5 fish to his fish tank and then decided to give half away to his sister. He had 12 fish remaining. How many fish were in the fish tank originally?
Answers
Answer:
19 because i used a calculatorrrrrrr
Can someone solve this problem with work please? :)
