Answer:
[tex]x2 - 12 = 37[/tex]
Step-by-step explanation:
Add 12 to both sides:
[tex]x2 - 12 + 12 = 37 + 12[/tex]
Simpilfy:
[tex]x2 = 49[/tex]
Simplify:
[tex]2x^{2} = 49[/tex]
Simplify:
[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]
[tex]x^{2} = \frac{49}{2}[/tex]
For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]
x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]
-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]
x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
[tex]x = 7 \\ x = - 7[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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halp me do this pleeeeeasssseee
Answer:
Step-by-step explanation:
The question isn't clear...
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
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
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.
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:
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What is
15,379 times 51
Answer:
784329
Step-by-step explanation:
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!!!
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:
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.
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
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
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.
Which is the best estimate for the liquid volume of a small carton of milk?
Answer:
Step-by-step explanation:
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
3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
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
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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:
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
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
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]
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!
:)
What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi
Answer:
1,300.62
Step-by-step explanation:
The formula for a cylinder is A= 2 pi r h +2 pi r^2
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
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:
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)
How would you find the area of this?
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
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Answer:
The answer is C
Step-by-step explanation:
Answer: The answer is C.
hope you do good on quiz! :D
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:
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