Answer:
The dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftStep-by-step explanation:
Let 'l' be the length and 'w' be the width of the rectangle
The length 'l' of the rectangle is 3ft less than twice the width 'w'.so
[tex]l=2w-3[/tex]
Also, the area of the rectangle is 27ft^2.
[tex]A=27\:ft^2[/tex]
As the area of the rectangle has the formula:
[tex]\:A\:=\:l\times w[/tex]
so
[tex]27=\:l\times w[/tex]
so the equation becomes
[tex]27=\left(2w-3\right)\times \:w[/tex]
[tex]27=2w^2-3w[/tex]
[tex]2w^2-3w-27=0[/tex]
[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]
[tex]w=-3,\:w=\frac{9}{2}[/tex]
as the width can not be negative, so
[tex]w=\frac{9}{2}=4.5[/tex] ft
As
[tex]l=2w-3[/tex]
[tex]l=2\left(4.5\right)-3[/tex]
[tex]l=9-3[/tex]
[tex]l=6[/tex]
So the dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftwhich two triangles are congruent? complete the congruence statement.
If the circumference of the circle is 24 inches what is the
approximate diameter
Answer:
7.64 in.
Step-by-step explanation:
The diameter of the circle whose circumference is 24 inches is 7.654 inches.
What is a circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The circumference of the circle, C = 24 inches,
Calculate the radius of the circle as shown below,
Circumference = [tex]2\pi r[/tex]
C = 2 × π r
r = 24 / 2π
r = 3.819
r = 3.82 inches
Calculate the diameter as shown below,
Diameter = 2 × r
Diameter = 2 × 3.82
Diameter = 7.639 inches
Thus, the diameter is 7.64 inches.
To know more about circle:
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This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
What is the factored form of the equation 4x^2-11+6=0
Answer:
(4x−3)(x−2)=0
Step-by-step explanation:
Step-by-step explanation:
4x²-11+6=0
4x²-5=0
x²=5
4
x=√5
4
hope it help u
3x = 0.5.x2
o o
O x= -6 or x = 0
O
x= -4 or x = 3
o
x = -2 or x = 1.5
x = 0 or x = 6
Answer:
the answer is x=0 or x=6, hope this helps
(07.03)
What is the solution to the following equation? (4 points)
5(2x - 6) + 20 = 10
a
9 5
Ob
3
2
x = 2
5(2 • 2 - 6) + 20
5(2x - 6 )+ 20 = 10
10x - 30 + 20 = 10
10x - 10 = 10
+10 +10
10 / 10x = 20 / 10
x = 2
In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?
Answer: percent is 0.53%
The ratio is 7 to 13 so you just divide 7/13
Step-by-step explanation:
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
Find the perimeter for the irregular polygons below
Answer:
1. 23
2. 17
Step-by-step explanation:
perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
Help me with this please
Answer:
101.5m left to use after the big top goes up.
Step-by-step explanation:
18*10=180 [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5
180-78.5= 101.5m
During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.
Answer:
The correct option is a
Step-by-step explanation:
Generally the null hypothesis is rejected (that the result is significant ) when the p-value is less that the the level of significance
Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is 10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also be significant at the level of significance )
WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?
We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
If you want to learn more, you can read:
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What is an equation for the line that passes through the points (-2, 3) and (2, 1)
Pls help ASAP WILL GIVE BRAINEST :/
Step-by-step explanation:
b=1 the person above or below me has the explanation
FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.
Answer: Hope this helps.
Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.
Step-by-step explanation:
We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.
Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.
The best choice among the answers is the one shown above.
the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?
Answer:
25% reduced
Step-by-step explanation:
45/60= .75
1-.75=.25
Classify the following triangle by its side lengths:
Answer:
Isosceles triangle
Step-by-step explanation:
all sides the same=scalene triangle
2 sides the same=isosceles triangle
all sides the same=equilateral triangle
How many different four digit alarm codes can be form for a house alarm be 2,4 or 9 and all the other digits can be any number and numbers can be repeated
Answer:
Bro, are you trying to break into someone's house of somethin?
Step-by-step explanation:
Make w the subject of the formula y - aw = 2w - 1
Answer:
[tex]w=\frac{y+1}{a-2} (a\neq 2)[/tex]
Step-by-step explanation:
[tex]y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)[/tex]
Hope this helps!
I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP
A restaurant bill is $75. You want to leave about a 20% tip. Which is a 20% tip?
hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
can u pls help me with this question
Answer:
The correct answer is D, 6/8.
Step-by-step explanation:
For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).
If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
can someone answer these?
Answer:
1. SSS
2.SSA
3.ASA
Step-by-step explanation:
For number one there is three congruent sides with the on in the middle
For number two there is two sides and one angle congruent
And number three has an embedded side between the two angles
If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer: 3,583.32
Step-by-step explanation:
Use money chimp calculator
f(x) = x2 – 2x +1
Find y-intercept and vertex
Answer:
Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].
Your vertex is [tex](1 , 0)[/tex]
Step-by-step explanation:
In order to find the y-intercept you had to to find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].
Hope this helped : )
4n-(7-6n)
Helppp plz