To determine the surface area of a model pyramid that has been scaled down, we must first compute the area of the original pyramid, and then multiply that area by the square of the scale factor.
Explanation:To find the surface area of a square pyramid we first calculate the area of the base which is side squared (152 = 225 sq ft), and then calculate the area of the four triangular faces. For the latter we can use the formula 0.5 x base x height, where base is the side of the pyramid (15 ft) and height is the slant height. The slant height can be calculated using Pythagoras' theorem which constitutes of half of the base and the height of the pyramid, this will give us the slant height, which then can be used in the surface area formula.
Next, if the pyramid is scaled down by a factor of 0.5, both lengths and areas are reduced by that factor. Hence, multiply the original area by 0.52 = 0.25 to find the surface area of the model pyramid.
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Can someone help me figure out what this is?
Answer:
M = 84
Step-by-step explanation:
Opposite angles in a quadrilateral inscribed in a circle are supplementary
R+ M = 180
96+ M = 180
Subtract 96 from each side
96-96+M = 180-96
M =84
Answer:
Step-by-step explanation:
8
6(a+3)=2a+30 what is the answer
Answer:
a = 3
Step-by-step explanation:
6(a+3)=2a+30
Distribute
6a + 18 = 2a+30
Subtract 2a from each side
6a + 18 -2a= 2a+30-2a
4a +18 =30
Subtract 18 from each side
4a+18-18 = 30-18
4a = 12
Divide each side by 4
4a/4 = 12/4
a = 3
Slope of -3 and y intercept of 2
Answer:
the answere is 100
Step-by-step explanation:
14. Calculate A bird
weighing 15 g eats 10 times
its weight in food in a week.
How much food does the
bird eat in a day?
Answer:
21.429 grams per day
Step-by-step explanation:
15g times 10 =150g
150g/7 =21.429g per day
Final answer:
A bird that eats 10 times its weight in food per week, with a weight of 15 g, consumes approximately 21.43 g of food per day.
Explanation:
If a bird weighing 15 g eats 10 times its weight in food in a week, we first calculate the total amount of food the bird eats in a week and then divide that by 7 to find the daily intake.
First, we calculate the weekly food consumption:
The bird's weight = 15 g
Total weekly food intake = 15 g × 10 = 150 g
Daily food intake = Total weekly intake ÷ 7
Daily food intake = 150 g ÷ 7 ≈ 21.43 g
Therefore, the bird eats approximately 21.43 grams of food per day.
PLEASE ANSWER ASAP :)
Answer:
(x+6)( x^2 -2)
Step-by-step explanation:
x^3 +6x^2 -2x-12
We can factor by grouping
x^3 +6x^2 -2x-12
Factor x^2 out of the first group and -2 out of the the second group
x^2 (x+6) -2 (x+6)
Now factor out (x+6)
(x+6)( x^2 -2)
Use the net to find the surface area of the square pyramid.
A) 1040 in2
B) 1426 in2
C) 2889 in2
D) 2945 in2
The probability of a chance event is 0.3, it is
to happen
when compared to a chance event with a probability of 0.4
Select one:
equally likely
less likely
both more and less likely
more likely
Answer:
less likely
Step-by-step explanation:
Lower probability = lower chance to happen
0.3 is less than 0.4
Answer:
2nd
less likely
Step-by-step explanation:
Which is the area of a trapezoid with bases of 10 m and 20 m, and a height of 5 m?
A. 70 m2
B. 75 m2
C. 80 m2
D. 150 m2
E. 300 m2
Answer:
The answer is B. 75 m2
Answer:
Its B
Step-by-step explanation:
you have helped me now I will help uou
What number would you add to both sides of x - 20x = 5 to complete the square?
Answer:
100
Step-by-step explanation:
If you add 100 to both sides, you get "x^2-20x+100," which simplifies to (x-10)^2
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Bo and Erica are yoga instructors. Between the two of them, they teach 39 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 17 Erica
B.
18 Bo; 21 Erica
C.
15 Bo; 24 Erica
D.
20 Bo; 19 Erica
Answer:
c
Step-by-step explanation:
39-15=24
24+15=39
If an integer from 3 through 14 is chosen at random, what is the
probability that the number chosen is NOT prime?
Answer:[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
Given
There are integer between 3 and 14 available to be chosen (total 12 integers)
Prime integers among them
3,5,7,11,13 i.e. total of 5 prime integers
So the probability that the number chosen is not Prime
[tex]=1-P\text{(no is prime)}[/tex]
[tex]=1-\frac{5}{12}[/tex]
[tex]=\frac{12-5}{12}[/tex]
[tex]=\frac{7}{12}[/tex]
Solve: 4/7 - (-4/7)
Answer:
1 1/7
Step-by-step explanation:
Subtracting a negative is adding
4/7 +4/7
8/7
Changing to a mixed number
1 1/7
Solve the ineqyality: -4-5x < -29
A. X > -5
B. 5
C. X<-5
D. *<5
Please select the best answer from the choices provided
Answer:
x > 5
Step-by-step explanation:
-4-5x < -29
Add 4 to each side
-4+4-5x < -29+4
-5x < -25
Divide by -5, remembering to flip the inequality since we are dividing by a negative
-5x/-5 > -25/-5
x > 5
A shipping container has a volume of 2,880 cubic inches. Which could be the dimensions of the container?
Missing part of the question
- 10 in, by 12 in. by 24 in.
- 12 in. by 15 in. by 18-in.
- 10 in. by 16 in. by 20 in.
- 12 in. by 12 in. by 20 in.
Answer:
The possible dimensions of the container are
- 10 in, by 12 in. by 24 in
- 12 in. by 12 in. by 20 in
Step-by-step explanation:
Given
Volume of the container = 2,880 cubic inches
Required
Possible dimensions of the container
To solve this question, the following assumption has to be made;
It'll be assumed that the container is a rectangular
To calculate the volume of a rectangular figure, we simply multiply the dimensions of the figure,
This implies that; we'll test each of the given options.
Which ever gives 2,880 is the right answer.
- 10 in, by 12 in. by 24 in.
[tex]Volume = 10 in * 12 in * 24 in[/tex]
[tex]Volume = 2,880[/tex] cubic inches
- 12 in. by 15 in. by 18-in.
[tex]Volume = 12 in * 15 in * 18 in[/tex]
[tex]Volume = 3,240[/tex] cubic inches
- 10 in. by 16 in. by 20 in.
[tex]Volume = 10 in * 16 in * 20 in[/tex]
[tex]Volume = 3,200[/tex] cubic inches
- 12 in. by 12 in. by 20 in.
[tex]Volume = 12 in * 12 in * 20 in[/tex]
[tex]Volume = 2,880[/tex] cubic inches
From the calculation above, only option A and D gives 2,880;
Hence, the possible dimensions of the container are
- 10 in, by 12 in. by 24 in
- 12 in. by 12 in. by 20 in
Given a volume of 2,880 cubic inches, one possible set of dimensions for a shipping container could be length = 24 inches, width = 15 inches, and height = 8 inches.
The volume of a rectangular container can be calculated by multiplying its length, width, and height. Given the volume of 2,880 cubic inches, we are looking for three numbers (dimensions) that, when multiplied together, equal 2,880.
One possible set of dimensions could be length = 24 inches, width = 15 inches, and height = 8 inches. Multiplying these dimensions together: 24 inches × 15 inches × 8 inches = 2,880 cubic inches, which matches the given volume of the container.
Find the discriminant of the quadratic equation, and determine the number of real solutions of the equation.
2x2 + 6x + 9 = 0
The discriminant is _____
The number of real solutions of the equation is _____
Answer:
Discriminant is -36 and the number of real solution and its 2 imaginary solutions.
Step-by-step explanation:
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
Answer:
141.89526818714 cubic inches
Step-by-step explanation \
Vm = Volume of the men's basketball
Vm = (4/3)*pi*r^3
Vm = (4/3)*pi*(5)^3 ... diameter = 10 --> radius = 10/2 = 5
Vm = 523.598775598299 cubic inches
Vw = Volume of the women's basketball
Vw = (4/3)*pi*r^3
Vw = (4/3)*pi*(4.5)^3 ... diameter = 9 --> radius = 9/2 = 4.5
Vw = 381.70350741116 cubic inches
Difference in volume = Vm - Vw
Difference in volume = 523.598775598299 - 381.70350741116
Difference in volume = 141.89526818714 cubic inches
This result is approximate
Answer:
141.9 in.3
Step-by-step explanation:
Just did the assignment on edge2020
I just need the answer plz
Answer: i got −5s^3+2s^2−s−9
Step-by-step explanation:
HELP! ASAP! MARKING BRAINLIEST!!
Which pyramid has a greater volume, and how much greater is its volume?
A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
a). The volume of the pyramid on the left is greater by 2 inches cubed.
b). The volume of the pyramid on the left is greater by 6 inches cubed.
c). The volume of the pyramid on the right is greater by 2 inches cubed.
d). The volume of the pyramid on the right is greater by 6 inches cubed.
Answer:
a). The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-step explanation:
The volume of a rectangular based pyramid is
V = [tex]\frac{1}{3}[/tex] w b h
Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid
Substitute the values given for both pyramids into the equation, and solve for V
Left Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3
Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]
Right Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10
Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]
Subtract the two volumes to find the difference in volume
42 - 40 = 2 [tex]inches^{3}[/tex]
Answer:
The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-Step Explanation
Find the product of (4z2 + 7z - 8) and (-z + 3).
The product of (4z2 + 77 - 8) and (-Z + 3) is -423 +
Z - 24.
Answer: -4z3 + 5z2 + 29z - 24
Step-by-step explanation:
Answer:
5
29
Step-by-step explanation:
Please help! Will mark brainliest!
Answer:
13x+2
Step-by-step explanation:
4x + 1
4x + 1
3x
2x
-----------
= 13x + 2
What is The volume of the rectangular prisim?
Answer:
1 1/9 ft³
Step-by-step explanation:
Volume of rectangular prism = L×W×H
3/3 × 2/3 × 5/3 = 30/27 = 1 3/27 = 1 1/9.
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN HOW YOU ARE CORRECT
Answer:
D
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.
14^2+16^2=x^2
Evaluate the exponents
196+256=x^2
Add
452=x^2
To get this is simplest radical form, find the greatest square root that divides evenly into 452
4 is the greatest square root. 4 times 113 equal 452
So, we have
[tex]\sqrt{4}\sqrt{113}[/tex]
Take the square root of 4
2[tex]\sqrt{113}[/tex]
So, choice D is correct.
If the tree is 25 feet tall , what is the angle of depression to his friend
Answer:
15
Step-by-step explanation:
Evaluate.
42 + (
1
5
)2
A) 6
2
5
B) 8
2
25
C) 16
1
25
D) 16
2
25
Answer:
C
Step-by-step explanation:
Which measure of center best describes the following data?
Explain why. Jareds points scored in a basketball games: 12, 20, 32, 8, 14, 11, 15.
Answer:
Step-by-step explanation:
Which rational number falls between 7/8 and 6/9
A 15/31
B 3/17
C 53/72
D 7/12
Answer:
c 53/72
Step-by-step explanation:
Check whether the given number is a
solution of the inequality.
4x + 2 = 14 x = 3
Answer:
TRUE
Step-by-step explanation:
x=3
4x + 2 = 14
4(3)+2=14
12+2=14
14=14
Sawyer recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table? (5 points)
Question 6 options:
1)
2)
3)
4)
Answer:
The second graph
Step-by-step explanation:
Tell whether the ordered pair is a solution of the system of equations.
(2.1)
2x+y=5
y = 4x– 1
1. No, (2,1) is a solution for y = 4x – 1 but not for 2x + y = 5.
2. Yes, (2,1) is a solution for both equations
3. No, (2,1) is a solution for 2x + y = 5 but not for y = 4x - 1
Answer:
2x + y = 5
y = 4x – 1
Substitute (2, 1) into system, then:
2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)
y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)
=> Option 3 is correct.
Hope this helps!
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The blueprint for the Pelham's living room has a scale of 2 inches=5 feet. The family wants to use a scale of 1 inch=44 feet. What is the width of the living room on the new blueprint?
(the original width is 8)
Using the original scale of 2 inches = 5 feet, the living room is 20 feet wide. With the new scale of 1 inch = 44 feet, the width of the living room on the new blueprint would be 2.2 inches.
Explanation:To solve this problem, one must first determine the actual width of the living room using the original scale. According to the original scale, 2 inches represent 5 feet. This would mean that the actual width of 8 inches would represent (8 / 2) * 5 = 20 feet. Now, set up a proportion with the new scale, which is 1 inch = 44 feet. If x is the width on the new blueprint, we would have x / 44 = 1 / 20, solving for x gives us x = 44 / 20 = 2.2 inches. Therefore, the width of the living room on the new blueprint would be 2.2 inches.
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