Answer:
p = ± q / 5r + 8; Option D
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
Answer; p = ± q / 5r + 8; Option D
At what coordinates was Anne the farthest away from home? Time in hours
Answer:
(3,8)
Step-by-step explanation:
A lifeguard sits in a chair that is 2.3 metres high. She spots a child in trouble in the
water at an angle of depression of 32◦. How far out from the base of the chair is the child?
Answer:
base= 3.681 metres far
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 1.01229 rad = 58°
b = a·sin(B)/sin(A) = 4.34028
c = a·sin(C)/sin(A) = 3.68077
Area =ab·sin(C) /2
= 4.23288
Perimeter p = a + b + c = 10.32105
Semiperimeter s =a + b +c/2
= 5.16053
Height ha =2×Area/a
= 3.68077
Height hb = 2×Area/b
= 1.95051
Height hc = 2×Area/c
= 2.3
Median ma = √(a/2)2 + c2 - ac·cos(B) = 3.85624
Median mb = √(b/2)2 + a2 - ab·cos(C) = 2.17014
Median mc = √(c/2)2 + b2 - bc·cos(A) = 2.94568
Which is the best reason why 4 5/6+2 4/6 not equal to eight
Answer:
I want brainliest >:)
Step-by-step explanation:
4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5
not 8!!!
Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?
Answer:
=119 in ^3
Step-by-step explanation:
The volume of a rectangle prism is given by
V = l*w*h
Changing to decimal form
= 8 .5 * 4 * 3.5
=119 in ^3
Answer: 119^3
Step-by-step explanation:
To find out the volume of a rectangular prism you have to multiply length x width x height.
8.5 x 4 = 34
34 x 3.5 = 119^3
The area of one of the smaller circles is 8/ in². Find the area of the shaded region.
A. pi in.²
B. 4 pi in.²
C. 8 pi in.²
D. 16 pi in.²
The answer is D btw i just submitted my quiz
Answer:
Area of shaded region = 16π in² (D)
Step-by-step explanation:
The question is incomplete without the diagram if the circles. Find attached the diagram used in solving the question.
Area of the smaller circle = 8π in²
Area of a circle = πr²
πr² = 8π
r² =8
r = √8 = 2√2
From the diagram, there are two smaller circles in a bigger circle.
The radius of the bigger circle (R) is 2times the radius of the smaller circle (r)
R = 2r
Area of bigger circle = πR²
= π×(2r)² = π×(2×2√2)²
= π×(4√2)² = π×16×(√2)²
Area of bigger circle = π×16×2
Area of bigger circle = 32π in²
Since there are two smaller circles in a bigger circle
Area of shaded region = Area of bigger circle -2(area of smaller circles)
Area of shaded region = 32π in² - 2(8π in²)
Area of shaded region = 32π in² - 16π in²
Area of shaded region = 16π in²
Answer:
D.
Step-by-step explanation:
On Earth you weigh 54.5 kilograms, while on the moon you weigh 9,071 grams. How many more grams do you weigh on Earth than on the moon?
What name is given to quadrilaterals in which the diagnosis are equal in length and bisect each other?
Answer:
Did you mean the diagonal are equal in length and bisect each other?
In that case, it is parallelogram.
Hope this helps!
:)
Answer:
Rectangles
Step-by-step explanation:
Diagonals bisect each other for all parallelograms.
But they are equal in a few.
Note: square is also a rectangle
A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.
Answer:
The area which would be painted grey will be "47.7812 ft²".
Step-by-step explanation:
The given values are:
Radius of circle, r = 5.4 feet
Value of pi, π = 3.14
As we know,
Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]
On putting the values in the above formula, we get
= [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]
= [tex]\frac{3.14\times 29.26}{2}[/tex]
= [tex]\frac{91.5624}{2}[/tex]
= [tex]45.7812 \ ft^2[/tex]
Tim answered all the questions on his math test but got
10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
Pls I need the equations ASAP
Answer:
29 questions total
Step-by-step explanation:
Since his score was 76 points and he received 4 points per correct answer, you can find the number of correct answers by dividing 76 by 4
76/4 = 19
The you add to that the number of questions he got wrong:
19 + 10 = 29 total questions.
If x∥y, m∠1=120°, and m∠7=45°, find the measure of each missing angle.
Answer:15
Step-by-step explanation:because we will 180-(120+45)
Solve the equation p^2 + 4p = 1 by completing the square.
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
HELP!!!!! due in 5 or 10 minutes!!!
Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?
Answer:
The answer is 9.
Step-by-step explanation:
Caleb's cube has a volume of 27 inches cubed.
27 x 27 = 729
729 has a cube root of 9.
Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs
Answer:
SA = 7.08 in²
Step-by-step explanation:
We can use the following method to solve the given problem
SA = 2B + LA
Where LA
LA = 4.72* 0.05* 15= 3.54
And
C = 2πr
Where
C = 4.72in
π = 3.14
Substituting, we have
4.72 = 2*3.14*r
Making r the subject of formula
r = 0.75in
Solve for the area of CD
A = πr²
Substituting the values we have
A = 3.14 *(0.75)²
A= 1.77 in²
Solving for surface area of the stack
SA = 2(1.77) + 3.54
SA = 7.08 in²
Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall and 3 inches wide. How many tiles will she need for her project?
Answer: 864 tiles
Step-by-step explanation:
Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.
Note that 1 feet = 12 inches
Each tile measures 3 inches on each side.
Length: 9 feet = 9 × 12 = 108 inches
Therefore, 108/3 = 36 tiles will fit along the length.
Width: 6 feet = 6 × 12 = 72 inches. Therefore, 72/3 = 24 tiles will fit along the width.
So, (36 × 24) = 864 tiles will be needed.
Answer:
864 tiles
Step-by-step explanation:
does anyone know the answer to this ?please
Answer:B
Step-by-step explanation:
Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents the number of hours Qasim worked, and in total they earned $195, how many hours did each person work?
Answer:
Alejandra worked 8 hours and Qasim worked 5
Step-by-step explanation:
195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.
Suzie wants to buy a shirt that costs $30.00. She has $90.00. How many shirts can Suzie buy?
Answer:
3 shirts
Step-by-step explanation:
90 divided by 30 = 3
Therefore, with $90.00, Suzie can buy 3 shirts.
:)
Answer:
3 shirts
Step-by-step explanation:
$90/$30=3 shirts
A jar of marbles has 3 blue marbles,
4 red marbles, and 2 green marbles.
What is the probability of drawing a
marble that is green or not red?
Answer:
50/50
Step-by-step explanation:
the other person said it and it makes sense smh
HELP ASAP GIVING BRAINLIST!!!!!!!!!!!!
Problem 11
Answer: -4x^2 - 6 (choice 3)Work Shown:
P = 4x^2-x+1
Q = -6x^2+x-4
P+Q = sum of P and Q
P+Q = (4x^2-x+1)+(-6x^2+x-4)
P+Q = (4x^2-6x^2)+(-x+x)+(1-4)
P+Q = -2x^2+0x-3
P+Q = -2x^2 - 3
2*(P+Q) = twice the sum of P and Q
2*(P+Q) = 2*(-2x^2 - 3)
2*(P+Q) = 2(-2x^2) + 2(-3)
2*(P+Q) = -4x^2 - 6
======================================================
Problem 12
Answer: 6x^3 + 4x^2 - 34 (choice 1)Work Shown:
y = 3x^3 + x^2 - 5
z = x^2 - 12
2(y+z) = 2(3x^3 + x^2 - 5 + x^2-12)
2(y+z) = 2(3x^3 + 2x^2 - 17)
2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)
2(y+z) = 6x^3 + 4x^2 - 34
Answer:
11. 3
12. 1
Step-by-step explanation:
11.
[tex](4x^2-x+1)+(-6x^2+x-4)\\4x^2-x+1-6x^2+x-4\\-2x^2-3[/tex]
Double that
[tex](2)(-2x^2-3)\\-4x^4-6[/tex]
----------------------------------------------------------
12.
[tex]y=3x^3+x^2-5\\z=x^2-12[/tex]
[tex]2(y+z)\\2(3x^3+x^2-5+x^2-12)\\2(3x^3+2x^2-17)\\6x^3+4x^2-34[/tex]
Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.
Question:
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
Options B & C are correct.
Step-by-step explanation:
Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
L = 12 m
w = 12 m
h = 10 m
To find the volume of this rectangular prism, let's use the formula:
V = w*h*l
V = 12 * 12 * 10
V = 1440 m³
Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
b = 12 x 12
h = 8
The volume of a square pyramid formula is:
V = ⅓*a²h
V = ⅓*12²*8
V = 384 m³
To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.
V = 12*12*10 + ⅓*12²*8
V = 1440 + 384 = 1824m³
Therefore, the space inside greenhouse 1 is 1824m³
Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
b = 12 m
h = 8 m
height of prism = 12 m
To find the volume of a triangular prism, we have:
½*(bh) * h
V = ½(12*8)*12
V = 576 m³
To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.
V = (12 * 12 * 10) + (½(12*8)*12)
V = 1440 + 576
V = 2016 m³
Therefore, the space inside greenhouse 2 is 2016m³
From the calculations above the correct options would be:
(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Options A, D and E are wrong.
Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.
Answer:
THE ANSWERS ARE.... B AND C
B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Step-by-step explanation:
i just took it on EDGE 2020. I hope it helps :)
3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?
Answer:grjjrd
Step-by-step explanation:fdfgdjj
What is the coefficient of the product experssion 6x? I NEED HELP SO PLS HURRYYYYY.
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
What are opposite numbers
Answer:
Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions
Answer:
Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0
You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.
can net worth be negative?
Answer:
our net worth can tell you many things. If the figure is negative, it means you owe more than you own. If the number is positive, you own more than you owe. ... Negative net worth does not necessarily indicate that you are financially irresponsible; it just means that – right now – you have more liabilities than assets
Step-by-step explanation:
hope it help
Yes, of course. A good fraction of the people on earth owe more than they own, so have negative net worth.
In the USA about 14% of the households have negative net worth. I would have guessed that credit card debt was the culprit, but it's mostly student loans that drag folks into this category.
A spinner with seven equal sized sections was used to play a game It was used 250 times in the first game Of those 250 the arrow landed on section 7 a total of 35 times The same spinner was used 150 times in the second game How many times did the spinner most likely land on section 7 in the second game A. 14 B. 21 C. 30 D. 35
Answer: 21
Step-by-step explanation:
From the question, a spinner with seven equal sized sections was used in playing a game. The spinner was used 250 times in the first game and the arrow landed on section 7 a total of 35 times. This can be expressed as:
= 35/250
= 0.14
The same spinner was also used 150 times in the second game. The number of times the spinner will most likely land on section 7 in the second game will be:
= 0.14 × 150
= 21
The spinner most likely land on section 7 in the second game for 21 times.
Simplify (x+2)(x+6) using grouping, and write the resulting expression in standard form
Answer:
(x+8)
Step-by-step explanation:
Answer:
x2 + 8x + 12
Step-by-step explanation:
(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)
= x * x + 6x + 2 (x + 6)
= x2 + 6x + 2 (x + 6)
= x2 + 6x + 2x + 2 * 6
= x2 +6x + 2x + 12
= x2 + 8x + 12
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The y is the variable.
There’s a imaginary -1 in front of the y
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
circumference is diameter x pi
radius + radius = diameter
11+11=22
22 x pi = 69.11503837897545
If you just use 3.14
3.14 x 22 = 69.08
Step-by-step explanation:
what is the lowest common multiple of 12 and 16
You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to earn $400 in interest? CLEAR CHECK 2.5 years 5 years 10 years 0 years
Answer:
2.5 years
Step-by-step explanation:
Interest= P×R×T÷100
T= 100I÷P×R
T= 100×400÷8000×2
T= 40000÷16000
T= 5÷2
T= 2.5 years