The dimensions of the rectangle will be (2x - 9)(x - 5).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.
The dimensions of the rectangle will be the factors of the quadratic equation.
2x² - 19x + 45
2x² - 10x -9x + 45= 0
2x( x - 5 )-9(x - 5)= 0
( 2x - 9 ) ( x - 5 ) = 0
Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).
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Plss help !!!!!!!!!!!!!!!!
Answer: C (324)
Step-by-step explanation:
He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.
Answer:
C. 324 thats the answer my cousin solved this
A triangle with base 8.2 cm and height 5.1 cm has an area of.
Answer:
Triangle area = 20.91 cm^2
Step-by-step explanation:
area = 1/2(b*h)
area = 1/2(8.2*5.1)
area = 1/2(41.82)
area = 20.91 cm^2
Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?
What is the range of the function y=-2/3x-10
given a domain of{-9,-3,0,3,9}
98
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Which equals the ratio of sin A to the nearest hundredth?
Answer:
we cant answer if we dont know what sin A is
A school store has 1200 pencils and sells 25 per day the manager reorders when the number of pencils in stock is 650
Answer:
He reorders after 22 days
Answer:
(1200÷25) ÷ans= days
Step-by-step explanation:
HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?
Answer:
88%
Step-by-step explanation:
128-15=113
113/128=.882
88%
there are 72 boys and 90 girls on a math team for the next competition mr. Johnson would like to arrange all the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm
Answer:
a=9.4cm
b=12.0cm
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
h=20
i=75
g=55
Step-by-step explanation:
20 is equal to h
75 is equal to i
g looks like its in the middle of them so you would subtract the two and be left with 55
g=55
im not the best at math so im sorry if its wrong.
Answer:
H= 20
I= 75
G= 20
Step-by-step explanation:
Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}
Answer:
B is the function.
Step-by-step explanation:
since there is one y value for every x value we know that is a function
Can you guys help I'm having trouble.
Answer:
given radius =6
Area of triangle =1/2*base*height
=1/2*6*6=18
area of quadrant =1/4πr^2
=1/4*22/7*6*6=22/7*9=198/7=28.2
area of shaded region =area of quadrant -area of triangle
=28.2-18=10.2
What is the answer, What is mCD?
Answer:
In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).
Step-by-step explanation:
I hope it works
circus has 20 performers, of which 6 are dancers.
What is the probability that a randomly selected performer will be a dancer?
Write your answer as a fraction or whole number.
Answer: 1/4
Step-by-step explanation:
Find the output, b, when the input, a, is 6.
b=17a
find the area of the triangle
Answer:
area = ½bh
= 1/2×11× 15
= 82.5 Square inches
82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5
An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
I NEED THE ANSWERS ASAP PLEASE HELP!!!!!
Answer:
x = 10
y = [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Let me know if you want an explanation.
A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?
Answer:
26,800 pounds of gravel
Step-by-step explanation:
13.4 tons is equal to 26,800 pounds
245,600,000,000 In scientific notation
Answer: 2.456 x 10^11
Step-by-step explanation:
You move the decimal to the left until there’s no more zeroes
Answer:
there :D
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
2.456 × 10 to the power of 11
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
Select 3 side lengths that can form a right triangle.
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
Edit: I had to change cause it was wrong
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
16 squared = 256
63 squared = 3969
16 squared + 63 squared = 4225
65 squared = 4225
A^2 +B^2 = C^2
A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?
Answer:
equation: x(1.25) + 6.75 = 31.75 refills: 20
Step-by-step explanation:
The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"
Now we solve the equation. First, subtract 6.75 from each side
x(1.25) + 6.25 = 31.75
-6.25 -6.25
Now we have "x(1.25) = 25" So we have to divide each side by 1.25
x(1.25/1.25) = 25/1.25
x = 20
Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.
20(1.25) + 6.75 = 31.75
25 + 6.75 = 31.75
31.75 = 31.75
I'm not the best at explanations, but I hope this helped! :)
I need help , I really don’t understand it .
Answer:
slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.
what you have to do is to solve the equations for y.
1) 2x+2y = 10
2y = 10 -2x
y = -x +5
2) 12+4y = -4x
4y = -4x-12
y = -x -3
lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2
lines are perpendicular when the multiplication of their slope gives -1
m1 x m2 = -1
here the slopes are same and y-intercepts are different so lines are parallel.
Statistics help please!!!
I have no idea what to do!
Zoom in to see clearer!
Please don't answer just for points if you don't know it I really need help
Answer:
see i have posted my pic
Step-by-step explanation:
please mark me as brainliest
round 2.85 to the nearest hunderdth
The square has a side length of 10 ft and the circle inside the square has a diameter of 10 ft find the approximate area of the shaded region use 3.14 as an estimation for
Answer:
[tex]Area = 21.5ft^2[/tex]
Step-by-step explanation:
See attachment
Given
Square:
[tex]Length = 10ft[/tex]
Circle:
[tex]Diameter = 10ft[/tex]
[tex]\pi = 3.14[/tex]
Required: Calculate the area of the shaded region
First, calculate the area of the square:
[tex]A_1 = Length^2[/tex]
[tex]A_1 = (10ft)^2[/tex]
[tex]A_1 = 100ft^2[/tex]
Next, the area of the circle.
[tex]A_2 =\pi * \frac{d^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{100}{4}[/tex]
[tex]A_2 =3.14 * 25[/tex]
[tex]A_2 =78.5ft^2[/tex]
The shaded region has the following area
[tex]Area = A_1 - A_2[/tex]
i.e. the difference between the area of the square and the area of the circle
[tex]Area = 100ft^2 - 78.5ft^2[/tex]
[tex]Area = 21.5ft^2[/tex]
If x+3/3 = y+2/2, then x/3 = ______
GIVING BRAINLIEST!
What is the slope of the positive graph?
Answer:
A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
Step-by-step explanation:
A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.
A. 5,410
B. 569
C. 52,043
D. 572
========================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why choice B is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
The driver's increase in altitude is 569 feet.
Given that,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
We have to determine,
The driver's increase in altitude?
According to the question,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
The inclination is determined by using the sin angle.
Therefore,
The driver's increase in altitude is,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.
Substitute all the values in the formula,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]
Hence, The driver's increase in altitude is 569 feet.
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