Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
What is
15,379 times 51
Answer:
784329
Step-by-step explanation:
What is the axis of symmetry for the function f(x)=7-4x+x2?
X=-3
x = -2
x = 2
x= 3
Answer:
x = 2
Step-by-step explanation:
C on edg 2020
The axis of symmetry of f(x) = 7-4x + x^2 is x = 2
How to determine the axis of symmetry?We have:
f(x) = 7-4x + x^2
Differentiate the function
f'(x) = -4 + 2x
Set the function to 0
-4 + 2x = 0
Add 4 to both sides
2x = 4
Divide by 2
x = 2
Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2
Read more about axis of symmetry at:
https://brainly.com/question/15709421
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A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answer:
7/16
Step-by-step explanation:
Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there
Answer: There are 10 two points and 16 five points questions.
Step-by-step explanation:
This is the detailed question:
A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?
Let y = the number of 2 points questions
Let z = the number of 5 points questions
y + z = 26 ......... i
2y + 5z = 100 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2y + 2z = 52 ......... iii
2y + 5z = 100 ....... iv
Subtract iv from iii
-3z = -48
z = 48/3
z = 16
Since y + z = 26
y = 26 - 16
y = 10
y = 10 two points questions
z = 16 five points questions
There are 10 two points and 16 five points questions.
What are the steps of finding the Circumference of a circle
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
halp me do this pleeeeeasssseee
Answer:
Step-by-step explanation:
The question isn't clear...
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is C
Step-by-step explanation:
Answer: The answer is C.
hope you do good on quiz! :D
An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank
Answer:
15707.96
Step-by-step explanation:
Answer:
5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Step-by-step explanation:
V = (pi)r^2h
r = radius = diameter/2
r = 20 ft/2 = 10 ft
V = (pi)(10 ft)^2(50 ft)
V = 5000(pi) ft^3
V = 5000(3.14159) ft^3 = 15,708 ft^3
Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number
Answer:
Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in
Hope this helps!
:)
rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.
Answer:
Step-by-step explanation:
look, area = length x width
so that means that the area of this rectangle is
= 11 1/2 * 8
= 23/2 * 8
= 23 * 4 (simplified)
= 92 in^2
Answer:
[tex]92in.^{2}[/tex]
Step-by-step explanation:
Area of a rectangle= L×W
If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,
∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.
= [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]
= (23 × 4) [tex]in.^{2}[/tex]
= 92[tex]in.^{2}[/tex]
Hope this helps!!!
Some insight: This is a unit rate question.
Answer:
i think is B.
Step-by-si tep explanation:
Which is the best estimate for the liquid volume of a small carton of milk?
Answer:
Step-by-step explanation:
3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
Answer:
graph b because its a parabola
Step-by-step explanation:
Answer:
Graph B does not belong
Step-by-step explanation:
All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.
The dimension of the rectangle is 8m by 6.5m respectively
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as;
A =lw
If the length of a rectangle is 5 m less than twice the width, then;
l = 2w - 5
Substitute
A = w(2w-5)
52 = 2w² - 5w
2w² - 5w = 52
2w² - 5w - 52 = 0
(2w−13)(w+4)=0
Step 2: Set factors equal to 0.
2w−13=0 or w+4=0
w =13/2 or 6.5m
Determine the length
l = 2w - 5
l = 2(6.5) - 5
l = 13 - 5
l =8m
Hence the dimension of the rectangle is 8m by 6.5m respectively
learn more on area of rectangle here: https://brainly.com/question/25292087
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Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
How would you find the area of this?
What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds
Answer:
1/3 = 0.3333 = 33.33%
Step-by-step explanation:
In the six-sided die we have 6 possible values, from 1 to 6.
To roll a number less than 5, the options are: 1, 2, 3 or 4.
We have 4 options, so the probability is P = 4/6 = 2/3
To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:
complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%
(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)
Answer:
1/3
Step-by-step explanation:
I took the test
5x to the power of 2 =25x to the power of 2
Answer:
1:5
Step-by-step explanation:
5x² = 25x²
Divide both sides by 5x²
5x²/5x² = 25x²/5x²
1:5
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?
Answer:
4 out of 14
Step-by-step explanation:
there is only 4 door bells and 14 bells in total
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Answer:
3x2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2
Answer: A. 1/2
Step-by-step explanation:
I don’t understand this question please help
Answer:
Between 3² and 4⁴
Between 3 and 4
Step-by-step explanation:
Number 15 is between between 3² and 4⁴
While √15 = 3.8 72 is between 3 and 4.
Solve for x in the following figure.
Answer:
x=80°
Step-by-step explanation:
supplementary angles equal 180°
∠J=80
80+x+20=180
100+x=180
x=80