Answer:
The answer is (C)
Step-by-step explanation:
The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm
Answer:
h = 20
Step-by-step explanation:
540π = 1/3 . h . π . 9^2
get rid of π
540 = 1/3 . h . 9^2
multiply by 3 to get rid of 1/3
3 . 540 = h . 9^2
1620 = h . 81
divide by 81
1620/81 = h
20 = h
Hope that helps :)
Solve for a. |2a-10|=6
Answer:
a= 2
Step-by-step explanation:
2 × 2 -10=6
4-10= 6
6=6
What is the answer to 2 and 3?
Answer:
p = -10
shortest side (a) = 5
longest side (b) = 12
Step-by-step explanation:
QUESTION 2: Solve for p by isolating the variable.
3/4 p - 1/4 p + 3 = -2 ----- subtract 3 from both sides
3/4 p - 1/4 p = -5
2/4 p = -5 ----- simplify 2/4
1/2 p = -5 ------ multiply 2 on both sides
p = -10
QUESTION 3:
Perimeter of a triangle = a + b + c
a = x
b = 3x - 3
c = 2x
x + 2x + 3x - 3 = 27 cm ------ combine like terms
6x - 3 = 27 ----- add 3 on both sides
6x = 30
x =5 ------- substitute 5 everywhere you see "x" for the side values
side a = x = 5
side b = 3x - 3 = 3(5) - 3 = 12
side c = 2x = 2(5) = 10
shortest side (a) = 5
longest side (b) = 12
Answer:
Answer to question 2:
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]
[tex]Simplify\\[/tex]
[tex]2p=-20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]
[tex]p=-10[/tex]
_____________________________________
Answer to question 3
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
Sum of all sides of the ∆ = Perimeter
Solve for x
Collect like terms
Add 3 to both sides
Divide both sides by 6
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
What is the least common denominator (lcd) of 1/2 2/3
Answer:
6
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
What are the the values of x and y that satisfy this equation?
( x + yi ) + ( 4 + 9i ) = 9 - 4i
A. x = 9 and y = -4
B. x = 5 and y = 13
C. x = 5 and y = -13
D. x = -9 and y = 4
Answer: C. x = 5 and y = -13
I hope this helps.
The value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given equation is,
( x + yi ) + ( 4 + 9i ) = 9 - 4i
The points are x= 5 and y = -13,
( x + yi ) + ( 4 + 9i ) = 9 - 4i
( 5 -13i ) + ( 4 + 9i ) = 9 - 4i
5 + 4 -13i+9i = 9-4i
9-4i = 9 - 4i
Therefore, the value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.
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Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=52(2x+3)−2=5
Answer:
frist parentheses then subtract
The solution of equation 2(2x+3)-2 = 52(2x+3)−2 = 5 is x = -29/20.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
The given equation:
2(2x+3)-2 = 52(2x+3)−2 = 5
Simplifying,
2(2x+3)-2 = 52(2x+3)−2 - 5
Using PEMDAS,
first, we solve the parentheses
4x+6 - 2 = 104x + 156 - 2 - 5
4x+4 = 104x + 149
104x - 4x = 4 - 149
100x = -145
x = -145/100
x = -29/20
Therefore, the value of x is -29/20.
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What is the rhyme scheme of this poem?
I wanted to use the mat
but couldn't remove my cat
who always sat
directly at
the place I needed to pose.
A. abccb
B. ababa
C. aaaab
D. abbab
Answer:
c
Step-by-step explanation:
because all of the lines except for the last one is the same. so its aaaab
Reflect Quadrilateral Hover both the x and y
axis.
just tell me the coordinates please and thank you so much
Answer:
(0,-7) (2,0) (7,0) (7,2)
Step-by-step explanation:
How do I solve for Y?
Start with the small triangle on the right:
35 + 96 + x = 180
x = 49
Ah, you already have that. Nice!
Now move to the biggest triangle:
x + 77 + (35+y) = 180
but x = 49, so
49 + 77 + 35+y = 180
y = 19
Compare the number. -9/16 ? -7/10
Answer:
-9/16 > -7/10
Step-by-step explanation:
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of any day?
Answer:
16777216
It took a lot of space on the calculator
Find the value of each variable. Please help! 25 points!
Answer:
what are the choices so I could help
Answer:
see explanation
Step-by-step explanation:
∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]
Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.
Then
5x - 3 = 4 ( add 3 to both sides )
5x = 7 ( divide both sides by 5 )
x = [tex]\frac{7}{5}[/tex] = 1.4
and
2y + 6 = 4 ( subtract 6 from both sides )
2y = - 2 ( divide both sides by 2 )
y = - 1
-65 is 5 times a product of 5 and a number
Answer:
Step-by-step explanation:
=-65*5
=-325
Help me please this is due tommorow
can you simplify it Please
Answer:
[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]
I hope I helped you^_^
Select all solutions for the equation (3x + 5)(2x + 8) = 0
Answer:
Step-by-step explanation:
a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?
Answer:
2110.08 meters
Step-by-step explanation:
find the circumference of the wheel
Divide 84 by 2 to find the radius.
84/2=42
C=2πr
C=2(3.14)(42)
C=263.76 cm
263.76*800=211008cm
Divide by 100 to convert to meters
211008/100=2110.08
2110.08 Meters
Hope this helps!
The formula to convert Celsius to Fahrenheit is F=57,C+32. If
the temperature is 92 degrees Fahrenheit. What is the
temperature in Celsius?
Answer:
the value of Celsius temperature is 100
o
when Fahrenheit temperature is 212
o
.
Step-by-step explanation:
what are the answers
Answer:
1. £44.82
2. £99.78
3.not sure
4. not sure
Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the answer pls help me
Step-by-step explanation:
$52.45
49.95×.05
then add that result to 49.95= answer
maths giving 10 point asap 1 question only
Answer:
Price of shirt=RM9.8
Step-by-step explanation:
Shirt=x Trouser=y
x+y=RM20
5x+y=RM59.20
y=20-x
5x+20-x=59.20
4x=39.20
x=9.8
y=20-9.8
y=10.2
George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.
Answer:
b) 3 miles per hour
Step-by-step explanation:
If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.
6 ÷ 2 = 3.
Please help me solve this please
Answer:
rdinates (4,5),(8,2) named point z
Step-by-step explanation:
A mechanic charges a flat fee of $30 plus $25 an hour for labor. Which equation can be used to determine how many hours, 1, the mechanic spends working on a
particular job if the total amount earned is T dollars?
can somebody tell me what this is please ?
(3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]
(3/5)n - (2/5)n = 10 -15 [simplify]
(1/5)n = -5 [multiply both sides by 5]
n = - 25
what is 5x plus 2 equals 4x -9
Answer:
x=-11
Step-by-step explanation:
5x+2=4x-9
5x-4x=-9-2
x=-11
Someone help me this is due tm
Answer:a I think although I’m really tired
Step-by-step explanation:
Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP
10. Determine if the equation x - y = 1 defines y as a function of x.
Answer:
No.
Step-by-step explanation:
First solve for y:-
x - y^4 = 1
y^4 = x - 1
y = +/- (x - 1)^(1/4)
This is a one-to-many relation . For a given value of y there 2 values of x.
So this is NOT a function.
Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°
find m<QRS, m<PQS, m<RPS and m<PSQ
The shape PQRS is a parallelogram
The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degreesThe given parameters are:
[tex]\mathbf{\angle PQR = 106}[/tex]
[tex]\mathbf{\angle QSR = 49}[/tex]
[tex]\mathbf{\angle PRS = 35}[/tex]
(a) Find QRS
This is calculated as:
[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]
So, we have:
[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]
[tex]\mathbf{\angle QRS = 70}[/tex]
Hence, the measure of angle QRS is 70 degrees
(b) Find PQS
This is calculated as:
[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]
So, we have:
[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]
[tex]\mathbf{\angle PQS = 53}[/tex]
Hence, the measure of angle PQS is 53 degrees
(c) Find RPS
This is calculated as:
[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]
Where:
[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]
So, we have:
[tex]\mathbf{\angle RPS = 35}[/tex]
Hence, the measure of angle RPS is 35 degrees
(d) Find PSQ
This is calculated as:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]
Where:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]
So, we have:
[tex]\mathbf{\angle PSQ =53}[/tex]
Hence, the measure of angle PSQ is 53 degrees
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