ratio of voljumes = 3^3 : 4^3 or 27:64 small/large = 27 / 64 vol of smaller = 27 * 320 / 64 =135
Answer:
135 cubic inches.
Step-by-step explanation:
Given : The ratio of the base edges of two similar pyramids is 3:4
The volume of the larger pyramid is 320 cubic inches.
To Find: What is the volume of the smaller pyramid?
Solution:
The ratio of the base edges of two similar pyramids is 3:4
The volume of the larger pyramid is 320 cubic inches.
The ratio of the volume of pyramids is equal to the ratio of the cubes of the sides of pyramids .
So, [tex]\frac{3^3}{4^3} =\frac{\text{Volume of smaller pyramid}}{320}[/tex]
[tex]\frac{27}{64} =\frac{\text{Volume of smaller pyramid}}{320}[/tex]
[tex]\frac{27}{64} \times 320 =\text{Volume of smaller pyramid}[/tex]
[tex]135 =\text{Volume of smaller pyramid}[/tex]
Thus the volume of smaller pyramid is 135 cubic inches.
How would i find the rule for this pattern:1280,640,320,160?
The rule for this pattern is to divide each number by 2 to get the next number.
Explanation:To find the rule for this pattern, we need to identify the relationship between the numbers. In this case, each number is half of the previous number. So, to find the next number, we divide the previous number by 2.
For example, 640 is half of 1280, 320 is half of 640, and so on. This means that to find the next number, we divide 320 by 2 to get 160.
Therefore, the rule for this pattern is to divide each number by 2 to get the next number.
How can you write 23/3 as a mixed number?
Given: x + y = 15. Which of the following are ordered pairs of this equation?
Which of the points shown below are on the line given by the equation y = x - 1? Check all that apply.
A. Point A: (1, -2)
B. Point B: (2, 1)
C. Point C: (4, 3)
D. Point D: (-3, -4)
Final answer:
To find points on the line y = x - 1, substitute the x and y values of each point into the equation. Points B, C, and D satisfy the equation.
Explanation:
The equation given is y = x - 1. To determine which points lie on this line, you need to substitute the x and y values of each point into the equation and see if the equation holds true.
Point A: (1, -2) - Substitute x = 1, y = -2 into y = x - 1. -2 = 1 - 1 is false.Point B: (2, 1) - Substitute x = 2, y = 1 into y = x - 1. 1 = 2 - 1 is true.Point C: (4, 3) - Substitute x = 4, y = 3 into y = x - 1. 3 = 4 - 1 is true.Point D: (-3, -4) - Substitute x = -3, y = -4 into y = x - 1. -4 = -3 - 1 is true.Therefore, Points B, C, and D lie on the line represented by the equation y = x - 1.
The price of a pair of shoes increases from $51 to$69. what is the percent increase to the nearest percent?
Answer:
35%
Step-by-step explanation:
A 4 in. by 5 in. photo is enlarged so that its width (shorter dimension) is 5 in. What is the length of the enlarged photo? 5.25 in. 6 in. 6.25 in. 7 in.
6.25 in Answer:
6.25 in
Step-by-step explanation:
i took the text
Final answer:
The length of the enlarged photo is 6.25 inches.
Explanation:
The question asks for the length of an enlarged photo when its width, the shorter dimension, has been increased from 4 inches to 5 inches. This is a problem of similar rectangles where the aspect ratio must remain constant. In the original photo, the width is 4 inches and the length is 5 inches. As the photo is enlarged, and the new width becomes 5 inches, we must find the new length that keeps the aspect ratio the same.
To find the scale factor, you compare the new width to the original width:
Scale factor = new width / original width = 5 inches / 4 inches = 1.25
To find the new length, multiply the original length by the scale factor:
New length = original length × scale factor = 5 inches × 1.25 = 6.25 inches
Therefore, the length of the enlarged photo is 6.25 inches.
Which relation is a direct variation that contains the ordered pair (2, 7)?
Y=4x-1
y=2/7x
y=7/2x
y=7/x
Answer: The guy up above, is correct. The answer is D
Step-by-step explanation: Edge 2021
Quadrilateral MNOP is a rhombus. Find the measure of angle MRN.
a. 90
b. 45
c. 85
d. 60
Without further information or a diagram indicating the position of point R in the rhombus MNOP, we cannot accurately determine the measure of angle MRN. If R is at the intersection of the diagonals, angle MRN would be 90 degrees.
Explanation:The student asks to find the measure of angle MRN in a rhombus named MNOP. Unfortunately, the information provided is insufficient to determine the measure of angle MRN directly. However, one property of a rhombus is that all sides are of equal length and opposite angles are equal. Additionally, the diagonals of a rhombus are perpendicular bisectors of each other and bisect the angles of the rhombus. Without a specific diagram or more information about the location of point R in relation to the rhombus, it's impossible to give an exact answer. If R is located at the center where the diagonals intersect, then angle MRN would be 90 degrees because the diagonals of a rhombus bisect each other at right angles. If R is not at the center, then we cannot determine the angle without additional information.
$45.00 for 9 pounds what is the unit rate?
four times daphne's age plus five times isaac's age adds up to 57. also, isaac's age is 11 less than twice daphne's age. how old is isaac?
1) A comet that passes through the solar system just once has a path that is modeled by a conic section. Astronomers discover a comet whose path is modeled by the following equation, with the Sun at one focus. What type of conic section is the comet's path?
x^2/2,500-y^2/37,500=1
2) What are the vertices of the comet's path? (Hint: Examine the general formula for the path and identify the numbers that determine the vertices.)
3) At its closest point to the Sun, this comet is ____ million miles from the Sun. (Enter only the number.)
Hint: Subtract the vertex from the focus
The distance from the library to the park is 0.7 kilometers. how many meters is this?
Answer:
700 is the answer
Step-by-step explanation:
yuo multipy bye the 1000 over 1
If P(x) = 2x 4 - x 2 + 3x - 1, use synthetic division to find P (2).
17
21
33
Answer: 33
Step-by-step explanation:
P(x) = 2x 4 - x 2 + 3x - 1
To find the value of p(2) we simply substitute x = 2.
That is; wherever you see x, simply put 2
P(2) = 2 [tex](2)^{4}[/tex] - [tex](2)^{2}[/tex] + 3(2) - 1
=2(16) - 4 + 6 - 1
= 32 - 4 + 6 -1
=28 + 6 -1
=34 - 1
=33
Therefore the value of P(2) is 33
How many solutions are there to the equation below?
11x + 25 = 7x + 15
A.
0
B.
Infinitely many
C.
1
D a monky beats a man with a stick
Answer:
D) A monky beats a man with a stick.
Step-by-step explanation:
Monky like stick. Monky like beat man.
at a local store you find the following prices listed:
Tape 2 rolls for $1.28
Notepads 3 pads for .87
Highlighters 1 for 1.59
Pens 2 for 1.98
How much would you pay for one roll of tape, two note pads, two highlighters, and two pens?
A. $8.07
B. $4.50
C. $6.38
D. $5.72
WILL UPVOTE
This is all the info it gives me so sorry.
The formula for rate is r=dt.
Solve for d.
Enter your answer in the box.
Thanks!
Molly runs each morning once around a circular path in her neighborhood. if the diameter of the path is 1.4 miles, how far does molly run each day?
"In ABC, mBAC = 5x + 8, mABC = 6x + 22, and mBCA = 3x 25.
A.Find the value of x.
B.Find the measure of 3. Show your work."
Actually, the answer is 12.5
5x+8+6x+22+3x+25= 180
(5x+6x+3x)+(8+22-25)= 180
14x+5=180
14x+(5-5)=180-5
14x=175
14x/14=175/14
X=12.5
Double check:
(5*12.5)+8=70.5
(6*12.5)+22= 97
(3*12.5)-25=12.5
70.5+97+12.5=180 degrees.
So, x=12.5
Fill in the blank:
To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...?
What are the common factors of 15 18 a d 12?
The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas.
Answer:c=1.89g
Step-by-step explanation: gradpoint
Which is not a property of all similar triangles
Common factors of 32 and 40
What is the sum?
7/2+(-3/5)
Graph x2 + 9y2 = 25. What are the domain and range?
Someone please help me !
(Picture below)
Answer:
the third graph is correct.
Step-by-step explanation:
domain: -5 ≤ x ≤ 5
range: -1.67 ≤ y ≤ 1.67
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Reduce this algebraic fraction 27c^4d^5/9c^7d^4 ...?
Which is a secant of circle A?
(Points : 1)
segment AB
line DE
segment HG
line CD
Answer:
The correct option is line CD
Step-by-step explanation:
Given the diagram we have to find the secant of circle A.
Secant of a circle is a line intersecting the circle at exactly two different points and a chord is the line determined by these two.
In the circle A the only line intersect two different points is CD and the interval on a secant is the chord of circle.
Here, HG is only the chord of circle not secant.
Hence, the correct option is line CD
70% of a number is 98.
What is 90% of that same number?
A.
63
B.
68.6
C.
88.2
D.
126
Which of the following correctly expresses the number below in scientific notation? 0.00000765
A. 7.65 • 10-6
B. 7.65 • 10-7
C. 7.65 • 10-5
D. 76.5 • 10-7
E. 765 • 10-8
F. 765 • 10-6
In scientific notation, 0.00000765 is written as 7.65 • 10-6. This represents the number of places to the right of the decimal point to the first non-zero digit.
Explanation:The task is to express the number 0.00000765 in scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in standard decimal form. It is commonly used in science and mathematics.
We have to determine which of the given options correctly represents this number in scientific notation.
The number 0.00000765 can be written as 7.65 times ten to the negative sixth power. This is because there are six places to the right of the decimal point before we encounter the first non-zero digit. Therefore, the correct answer is 7.65 • 10-6.
Learn more about scientific notation here:
https://brainly.com/question/16936662
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