What is the total surface area of the right regular pyramid with a square base?
Answers
The lateral surface and the total surface areas of the prism are 96 in² and 2304 in² respectively.
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here,
Given is prism, we need to find the lateral surface and the total surface areas,
Lateral surface area = (perimeter of base) × length
Perimeter of base = 3 × 4 = 12 in
length = 8 in
The lateral surface area = 12 × 8 = 96 in²
Total surface area = (perimeter of base) × length × 2(base area)
= 96 × 2(3×4)
= 96 × 24
= 2304 in²
Hence, the lateral surface and the total surface areas of the prism are 96 in² and 2304 in² respectively.
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Related Questions
Danny is diving for rings at the bottom of the pool and is 8.7 feet below the surface of the water. He grabs a ring and ascends 1.3 feet per second. Write an equation to represent the relationship between x, the number of seconds and y, the number of feet below the surface of the water.
Answers
Find the next three terms of an arithmetic sequence 58 , 63 , 68 , 73 . find the next three terms
and show all your work how did u get it and the formula and ty
Answers
Answer:
78 - 83 - 88
Step-by-step explanation:
If you minus all the numbers together, you get
73 - 68 = 5
68 - 63 = 5
63 - 58 = 5
1) So, 73 + 5 = 78
2) Next is 78 + 5 = 83
3) Last, 83 + 5 = 88
Hope this helps!!!
( i also suck at math)
Which ordered pair or pairs is a solution to the equation 4x - y = 17?
A. (5.3)
B. 3.-5)
C. both (5, 3) and (3,-5)
D. none listed
Answers
Given: AB ≅ BC , AE ≅ FC Prove: m∠AEC=m∠AFC
Answers
Answer:
EC/AB = FC/MA
Step-by-step explanation:
We are given AB
≅
BC that means that side AB and side BC are equal also we know that angle opposite to equalt
sides are equal.
Hence, ∠BAE=∠BCE-------(1)
Also ∠AEB=∠CEB.
Now we are given that: ∠ABC = 130°30’ i.e. in degrees it could be given as:
60'=1°
30'=(1/2)°=0.5°
Hence ∠ABC = 130°30’=130+0.5=130.5°
Also we know that sum of all the angles in a triangle is equal to 180°.
Hence,
∠BAE+∠BCE+∠ABC=180°.
2∠BAE+130.5=180 (using equation (1))
2∠BAE=49.5
∠BAE=24.75° (DIVIDE BOTH SIDE BY 2)
Now in triangle ΔBEC we have:
∠BEC=90° , ∠BCE=24.75°
SO,
∠BEC+∠BCE+∠EBC=180°.
Hence, 90+24.75+∠EBC=180
∠EBC=180-(90+24.75)
∠EBC=65.25°
Now we are given AE = 10 in
Also ∠BEA= 90°.
And ∠BAE=24.75°; hence using trignometric identity to find the measure of side BE.
\begin{gathered}\tan 24.75=\dfrac{BE}{AE}=\dfrac{BE}{10}\\\\BE=10\tan 24.75-------(2)\end{gathered}tan24.75=AEBE=10BEBE=10tan24.75−−−−−−−(2)
similarly in right angled triangle ΔBEC we have:
\begin{gathered}\tan 24.75=\dfrac{BE}{EC}\\\\\tan 24.75=\dfrac{BE}{EC}\\\\EC=\dfrac{BE}{\tan 24.75}------(3)\end{gathered}tan24.75=ECBEtan24.75=ECBEEC=tan24.75BE−−−−−−(3)
Hence, using equation (2) in equation (3) we get:
EC=10 \text{in.}EC=10in.
Hence AC=AE+EC=10+10=20 in.
Hence side AC=20 in.
Sandy bought 12 7/8 pounds of peaches to make jam. She and her mother ate 0.75 of a pound of the peaches before making the jam. They used 9 3/8 pounds of the peaches to make the jam. How many pounds of peaches were left over?
A. 3 1/4
B. 3
C. 2 3/4
D. 2 1/4
Answers
Answer:
C
Step-by-step explanation:
initial amount: 12 7/8 lbs
ate: 0.75 lbs= 3/4 lbs = 6/8 lbs
used: 9 3/8 lbs
remainder: 12 7/8 - 9 3/8 - 6/8
= 3 1/8 - 3/8
=2 6/8 = 2 3/4 = C
therefore C is the answer
I need help, pls answer fast.
Answers
Answer:
4 times 5
Step-by-step explanation:
PLEASE ANSWER PLEASE DONT SPAM ME TO GET PIONTS 16=4+3(t+2) thank you
Answers
Answer:
T = 2
Step-by-step explanation:
1. Distribute
2. Add the numbers
3. Order summands
4. Subtract 10 from both sides of the equation
5. Simplify
Answer:
t=2
Step-by-step explanation:
Simplify both sides of the equation.
16=4+3(t+2)
16=4+(3)(t)+(3)(2) (Distribute)
16=4+3t+6
16=(3t)+(4+6)(Combine Like Terms)
16=3t+10
16=3t+10
Step 2: Flip the equation.
3t+10=16
Step 3: Subtract 10 from both sides.
3t+10−10=16−10
3t=6
Step 4: Divide both sides by 3.
3/2= 6/3= t=2
Please help as soon as you know it the answer
Answers
Answer:It is the 3rd one
Step-by-step explanation:
George has $5.00 to spend on candy. If each candy bar costs $0.85, how many candy bars can he buy?
A.) 5
B.) 5.88
C.) 6
D.) 8.62
Them easy points -3-
Answers
Select all the pairs of equivalent expressions. Select all that apply.
(43)3 and 43 ⋅ 43
(34)4 and 38 ⋅ 38
64 ⋅ 34 and 188
43 ⋅ 53 and 203
(43)3 and 43 ⋅ 43 ⋅ 43
Answers
please help if oyu help then i get a good grade
Answers
Answer:
7 = 16
Step-by-step explanation:
3*4=12
4*4=16
just multiply by 4
Answer:
y equals 16
Step-by-step explanation:
3/4 =12/y
3 x 4 = 12
4x4 = 16
Which number could go in place of letter A
A.40
B.2.75
C.1/4
D.-2.5
E.-5
Answers
Answer:
A. 1/4, 2.75
B. -5, ad -2.5
C.. 40
Step-by-step explanation:
Hope this helps
Answer:
A
Step-by-step explanation:
can you please mark me brainliest
Khara buys a shirt for $24 and 2 pair of pants. She doesn't remember the cost of the pants. She knows she spent a total of $102. Which equation would you use to find the cost of a pair of pants?
Answers
24 divided by 2 and 102 x p
Answer:
39 per pair of pants .
Step-by-step explanation:
First of all you would take 102 and subtract 24 which equals 78 . Then you would divide 78 by 2 and your answer will be 39 . To check your answer you will take 24 39 , 39 and add it all together . if it comes out to 102 you have the correct answer . So you are using subtraction division and addition
What is 43 · 62 · 7 Can someone please explain I need help with my assignment.
Answers
.
Is a math symbol middle schoolers use for another way to write x in multiplication.
Answer:
18662
Step-by-step explanation:
43*62=2666
2666*7=18662
Marcie built a scale model of the tallest building in town with an antenna on top. The model stands 6 2/3 centimeters tall. The main building is 3/4 of the height of the building including the antenna. How tall is the antenna in the model? Pls help this is due today and i am really stressed out.
Answers
The answer is 1/2...........
Two Truths and a Lie
Identify the lie and fix it so it is a truth.
1. Volume measures capacity.
2. The formula for volume of a pyramid is V=Bh
3. The first step for finding volume is to identify the shape of the base.
Answers
Answer:
Truth
Lie
Truth
Step-by-step explanation:
Lie:
The volume of a pyramid is given by the formula V = Bh / 3 where B is the area of its base and h is its height
Answer:
its 1.
Step-by-step explanation:
hope I helped pls mark branliest
graph WILL BE MARKED BRAINLIEST!!!!!!!!
What is the equation of the line?
i cant upload a file so im going to give the best description i can.
A vertical line going through x (3,0)
Answers
Answer:
he second line's equation was y = –2x + 3, and the line's slope was m = –2
THAT ALL I UNDERSTAND
Step-by-step explanation:
What are the domain and range for the set of points graphed on the coordinate plane?
A)Domain: –8 ≤ x ≤ 4
Range: –5 ≤ y ≤ 13
B)Domain: –5 ≤ x ≤ 13
Range: –8 ≤ y ≤ 4
C)Domain: {–5, –3, 3, 13}
Range: {–8, –6, –4, –2, 0, 2, 4}
D)Domain: {–8, –6, –4, –2, 0, 2, 4}
Range: {–5, –3, 3, 13}
Answers
Answer:
I think C
Step-by-step explanation:
tell me if i'm wrong
suppose you are measuring peanut butter. begin with 1 1/2 c cold water in a container. after you add the peanut butter to the water, the water level reads 2 1/4 c.what is the volume of the peanut butter. explain.
Answers
Volume of the peanut butter is 3/4 c.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Here is given the method to measure the peanut butter.
Volume of the cold water at the beginning = 1 1/2 c
= 3/2 c
Volume of the water after adding the peanut butter = 2 1/4 c
= 9/4 c
Volume of peanut butter = 9/4 c - 3/2 c
= (9/4) - (6/4)
= 3/4 c
Hence the volume of the peanut butter is 3/4 c.
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WILL GIVE BIRANLY!!!
Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback and two hardback books. How much change will Travis receive from a $20 bill?
Answers
Answer:
6.50
Step-by-step explanation:
20-13.50=6.50
3 times 2 to get 6
7.50 plus 6 to get 13.50
20 minus 13.50 to get 6.50
To check add 13.50 to 6.50 to get 20
A partial graph of an exponential function is shown in the graph below.
What are the domain and range of this graph?
A)Domain: 2 ≤ x < 6
Range: –3 < y ≤ 5
B)Domain: –3 < x ≤ 5
Range: 2 ≤ y < 6
C)Domain: –3 ≤ x < 5
Range: 2 < y ≤ 6
D)Domain: 2 < x ≤ 6
Range: –3 ≤ y < 5
Answers
Answer:
Your answer should be b
Step-by-step explanation:
i hope my answer is correct
Write a direct variation equation to represent number of songs x and cost y. How much does it cost to master 11 songs?
Number of songs--Cost($)
2----------120
4----------240
6----------360
8----------480
Answers
240 divided by 4 equals 60
360 divided by 6 equals 60
480 divided by 8 equals 60
x - 11. y - $660
Mrs. Smith’s wrote the number 43.38 on the board for a class discussion on place value. Explain the relationship between the two 3s
Answers
Answer:
3 and 0.3
Step-by-step explanation:
In the number 43.38, there are 2 place values for the digit 3. The 3 in 43 is worth 3. There is a 3 in the remaining .38, and that 3 is worth 0.3. The relationship between the two 3s is 3 and 0.3.
Hopefully the answer and explanation helps!
Somebody help me please ASAP!!!!!!!!!!!!!!
Answers
Answer:
V=-15
Step-by-step explanation:
What you do is you take the negative 3 and multiply it by the 5 at the top which makes -15/v
Explanation:
If a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive.
Angle 1 is in a triangle with angle 4 and a 53 degrees angle. What is the sum of the measures of those two angles?
Answers
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The value of angles are in given triangle as:
Angle 1 = 37°, angle 2 = 127°, angle 3 = 23°, and angle 4 = 90°.
Given that the triangle attached below.
Also given angle one with angle four and a 53° angle.
Since the sum all three angle of triangle is equal to 180°.
In triangle ABC,
∠A + ∠B + ∠C = 180
Angle 1 + 90 + 53 = 180
Angle 1 = 37°
Also the angle 4 is equal to 90°.
The angle 2 is equal to 127°, because 180 - 53 = 127°
Now, in triangle ACD,
∠C=127° and ∠D = 30
∠A + ∠C + ∠D = 180
Angle 3 + 127 + 30 = 23
Hence, the value of angles are:
Angle 1 = 37°
Angle 2 = 127°
Angle 3 = 23°
And angle 4 = 90°
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The cake walk fundraiser sold 44 tickets during the first sales. This was 22% of the total sales. How many tickets were sold to the cake walk fundraiser
Answers
Answer:
The total sales are 200 tickets
Step-by-step explanation:
Answer:
968
have a good day
Write the answer as a mixed number fraction (if possible) 9 1/3 divided by 8 2/5
Answers
Answer:
1.1111111111
Step-by-step explanation:
PLS HELP PUT #BRAINLIEST IF YOU WANT IT
Answers
After 3 weeks, Mrs. Tumble had each group measure the height of their bean plant and record it on a line plot. What is the difference in length between the tallest bean plant and the shortest bean plant?
Group answers
A. 2 1/4
B. 2 1/2
C. 2 3/4
D. 3 1/4
Answers
Which of the following isn't a composite number?
33
41
51
69
Answers
Answer:
41
Step-by-step explanation: