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The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?
-----Note: more than one must be used-----
ANSWER OPTIONS:
* l = V over 3hw
* w = V over 3lh
* l = 3V over wh
* h = 3Vl over w
* w = 3V over lh
* h = V over 3lw
The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of the triangle.
Answer:
Step-by-step explanation:
2.8, 5.6, 5.6
If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a
PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.
Answer: The answer is (a) The scale factor is 1.25.
Step-by-step explanation: We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.
One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.
Therefore, the scale factor is given by
[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]
Therefore, the scale factor is 1.25 and (B) is the correct option.
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?
a.
the graph of g(x) is a translation of the graph of f(x) up 6 units
c.
the graph of g(x) is a translation of the graph of f(x) right 6 units
b.
the graph of g(x) is a translation of the graph of f(x) left 6 units
d.
the graph of g(x) is a translation of the graph of f(x) down 6 units
Answer:
I think it is the first one
Step-by-step explanation:
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Find the area of the triangle. Round the answer to the nearest tenth.
A.
7.8 square units
B.
8.9 square units
C.
19.3 square units
D.
38.5 square units
Answer:
19.3 square units .
Step-by-step explanation:
∠D=∠F=52°
Opposite sides of equal angles are equal .
So, DE=EF =6.3
Now sum of all angles of triangle is 180°
So, ∠D+∠F+∠E = 180°
52°+52°+∠E =180°
104°+∠E =180°
∠E =180°-104°
∠E =76°
Now to find the length of DF we will use law of cosines
[tex]c^2=a^2+b^2+2(a)(b) Cos E[/tex]
[tex]DF^2=DE^2+EF^2+2(DE)(EF) Cos E[/tex]
[tex]DF^2=6.3^2+6.3^2+2(6.3)(6.3) Cos 76^{\circ}[/tex]
[tex]DF^2=79.38+79.38 (0.2419)[/tex]
[tex]DF^2=98.582[/tex]
[tex]DF=\sqrt{98.582}[/tex]
[tex]DF=9.9[/tex]
Now we are supposed to find the area of triangle
To calculate the area of given triangle we will use the heron's formula :
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where [tex]s = \frac{a+b+c}{2}[/tex]
a,b,c are the side lengths of triangle
Now substitute the values :
[tex]s = \frac{6.3+6.3+9.9}{2}[/tex]
[tex]s =11.25[/tex]
[tex]Area = \sqrt{11.25(11.25-6.3)(11.25-6.3)(11.25-9.9)}[/tex]
[tex]Area = 19.2907[/tex]
Hence the area of the triangle is 19.2907 ≈19.3 square units .
In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many times.
You are in charge of the casino night game area at a fundraising event. In one of the games, called Odd Odds, the player rolls two six-sided dice. The player gets points if the product of the two numbers rolled is odd. So, success in the game depends on the chances of getting an odd number for the result.
1)Find the number of outcomes in the sample space, n(S), of the trial of this game.
2)List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.
3)Find the probability of getting an odd number. In this case, you will calculate the probability, P(E), of event E, in which the product of the two numbers rolled is odd. Write the probability as a fraction reduced to lowest terms and as a decimal correct to two places.
Answer:
Step-by-step explanation:
They are saying the player gets points if the PRODUCT of the two numbers rolled is odd not the SUM So the answer should be
(1,3) (1,5) (3,1) (3,3) (3,5) (5,1)(5,3)(5,5) which is 9 out of 36 which would be 1/4 or 0.25
Final answer:
In this activity, the student needs to calculate the number of outcomes in the sample space, list and count the outcomes for event E, and find the probability of getting an odd number.
P(E) = 9/36 = 1/4 = 0.25.
Explanation:
To find the number of outcomes in the sample space (n(S)) of the trial, we need to consider all the possible combinations of rolling two six-sided dice. Since each die has six sides, the total number of outcomes for each die is 6. To find the total outcomes in the sample space, we multiply the outcomes for each die: n(S) = 6 * 6 = 36.
In this game, we are interested in the outcomes where the product of the two numbers rolled is odd. To list and count these outcomes, we need to consider the combinations where one or both of the numbers rolled is odd. By listing all the possible outcomes, we have: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5). There are 9 outcomes for event E.
To find the probability of getting an odd number, we need to divide the number of outcomes for event E by the total number of outcomes in the sample space. P(E) = 9/36 = 1/4 = 0.25.
What is the value of n?
Enter your answer in the box.
n =
Answer:
n = 5
Step-by-step explanation:
This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."
To follow this theorem, you must multiply both segments of the chord with each other.
Do it to both chords.
The two chords are equal to each other. It should look like:
18*(n+1) = 9*(n+7)
[distributive property]
18n + 18 = 9n + 63
9n = 45
n = 5
Perpendicular lines AB and CD intersect at point E. If m∠AED = x + 20, what is the value of x?
A.) 160
B.) 110
C.) 90
D.) 70
Jordan is 4 feet 8 inches tall, her mother is 5 ft 10 inches tall, how much taller is Jordan's mother than Jordan? Give your answer in feet and inches.
how are solutions, roots, and x-intercepts of a quadratic related?
Answer:
Step-by-step explanation:
The quadratic equation [tex]ax^2+bx+c=0[/tex]
The roots of quadratic equation is defined as that value when we substitute in the quadratic equation then we get zero.
Solution of quadratic equation is defined as that value of roots which substitute in the equation then we get zero.
x-intercept of the quadratic equation is defined as that real value of x on the x- axis when we substitute in the equation then the value of equation becomes zero.
From the above definitions we can see that roots of quadratic equation can be imaginary or real but x- intercept value of equation is always a real value.
Solution is also called the value of roots but x- intercept is equal to roots when the value of roots is real.
Now, we can says that roots and solutions of quadratic equation are same when values of roots are real. But when the roots are imaginary then we can not find x- intercept in cartesian coordinate plane .
Anybody have a real answer for the question?
Part 1.] Find the value of x in [tex]4,000( 1.5^{x})=25,000[/tex]. Show your work.
Part 2.] Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation. The grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis. [tex]y= log_{2} x[/tex]
1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.
2. How many albums did J. Cole sell last month?
Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill does she have? show all work to justify your answer.
What is the value of x in the triangle?
Write a two-column proof
it says Given: the top number is 2x+6 and the bottom number is 96. Prove: x = 45
It's a little blurry sorry. Please help me I have never understood two-column proofs and they don't make sense to me
Thank you
Which example best represents balanced forces
The forces are equal and opposite, the book remains at rest, representing a state of balanced forces.
Balanced forces occur when the net force acting on an object is zero, meaning that the forces are equal in magnitude and opposite in direction. As a result, the object remains in a state of equilibrium and does not accelerate.
One example that best represents balanced forces is:
A book resting on a table.
When a book is placed on a table, it doesn't move because the force of gravity pulling it down (its weight) is balanced by the normal force exerted by the table, pushing the book upward.
To know more about forces here
https://brainly.com/question/13191643
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Which graph shows a proportional relationship? help!!
NEED HELP ASAP
What are the restrictions of:
(n^2 -6) / (n^2 -2)
5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2
Find two consecutive integers whose product is 24 more than three times the first integer
f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)
A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish
The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is: [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex] represents the amount of electricity in volts.
This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.
Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.
Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.
Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.
Given information:
The price Serena paid for buying the first game is $194.99
The overall price Serena paid for buying three games is $284.97
Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]
As, the price of second and third game is equal, we can consider the combined price of second and third game.
Thus , the equation formed according to the information given in the question is:
[tex]\bold{194.99+2P=284.97}[/tex]
Solve, the above equation in order to find the price of one game.
[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]
Hence, the price of one game in two equally priced game is $44.99
For more information visit:
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What is the value of y in the parallelogram below?
Answer:
The answer is the option B
[tex]23\°[/tex]
Step-by-step explanation:
we know that
In a parallelogram consecutive angles are supplementary
so
In this problem
[tex]5y\°+65\°=180\°[/tex]
Solve for y
[tex]5y\°=180\°-65\°[/tex]
[tex]y=115\°/5=23\°[/tex]
Answer:
23
Step-by-step explanation:
just took the test
Factor x2 – 3x – 28. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =
-28
-3
-7 and 4
(x-7)(x+4)
Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?
The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.
To find out how many stickers are in each pile:
Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.