Answer:
25 meters .
Step-by-step explanation:
The actual width of the rectangle is 24.5 meters.
What is area of rectangle?The area of rectangle equals the base(width) times the height.
A = w × h
Given
Area of rectangle = 500 square meters.
Length of rectangle = 4x - 3 meters
Width of rectangle = 2x + 6 meters
Area of rectangle = length × width
500 = (4x - 3) (2x + 6)
⇒ 500 = [tex]8x^{2}+24x-6x-18[/tex]
⇒ 500 = [tex]8x^{2}+18x-18[/tex]
⇒ 500 = [tex]2(4x^{2}+9x-9)[/tex]
⇒ [tex]\frac{500}{2}=4x^{2}+9x-9[/tex]
⇒ [tex]250=4x^{2}+9x-9[/tex]
⇒ [tex]4x^{2}+9x-9-250=0[/tex]
⇒ [tex]4x^{2}+9x-259=0[/tex]
⇒ 4x(x + 7) -37(x + 7) = 0
⇒ (x + 7) (4x - 37) = 0
⇒ x = -7, x = [tex]\frac{37}{4}[/tex]
-7 is not satisfied because it is a negative number.
By substituting x = [tex]\frac{37}{4}[/tex] in width of rectangle
Actual width of rectangle = 2x + 6
= 2( [tex]\frac{37}{4}[/tex]) + 6
= [tex]\frac{37}{2}[/tex] + 6
= [tex]\frac{37+12}{2}[/tex]
= [tex]\frac{49}{2}[/tex]
= 24.5 meters
Hence, the actual width of the rectangle is 24.5 meters.
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PLSS HELP ME CUS YES
Answer:
Angle g = 90°
Angle between x and G = 30°
Angle x= 180-(90+30)
= 180-120=60°
which expression is equivalent to
-3x + 6y + 7x - 14?
A. -10x - 14
B. 2(2x+3y-7)
C. 4x - 6y + 14
D.4x + 6y - 14
E. 10x + 6y - 14
I'll give brainlist
D.4x + 6y - 14
This is the answer
You got paid
$45 to babysit your
nephew for 5 hours.
How much did you
get paid per hour?
Answer:
You get paid $9 per hour
Step-by-step explanation:
pretty easy i just need to know if i put these in the right order please help !
Answer:
the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)
if a 30 foot wire is attached to the top of a 12 foot pole and stretched to the ground, find the angle the wire makes with the ground
Answer:
52 degrees
Step-by-step explanation:
Answer:
52 degrees sorry if that's wrong
NO LINKS!!! PLEASE HELP ILL GIVE BRAINLIEST
Answer:
for number one it is 6
for number two it is 48
Step-by-step explanation:
please mark brainliest
Answer:
Step-by-step explanation:
1. 3 · 2 (First power) = 3 · 2 = 6
2. 3 · 2 (Fourth power) = 3 · 16 = 48
Help me plzzz
Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.
Answer:
6.50
Step-by-step explanation:
Answer:
6.50
Step-by-step explanation:
the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer
Please please help me !!!
Answer:
D - x=y/12
Step-by-step explanation:
So lets just take one set of data from the table.
This is all we need.
So I am just going to set our values to:
x = 21
y = 252
Now lets plug this into each equation, ands ee if it is accurate or not:
21=12+252
=
21=264
Thats not right! Lets try the next one:
21 = 252/12
=
21 = 21
Thats correct! Lets just try the other ones anyway:
21 = 252 - 12
=
21=240
Thats not right! Lets try the last one:
21 = 12*252
=
21 = 52,424
That is most definatly not right!
So the answer is B, x=y/12
Hope this helps!
Consider these statements.
1. AB and AC are two sides of AABC and AB = AC
2. If two sides of a triangle are congruent, then the triangle is an
isosceles triangle.
Which conclusion can be drawn from these statements using
deductive reasoning?
A
m2ABC + m2ACB 90
B
AABC is an isosceles triangle.
с
Points A, B, and C are collinear.
BC = AC
Answer:
B
Step-by-step explanation:
if we match the two informations we can say that the triangle is isosceles
The ratio of dogs to cats at the animal shelter is 2:5. If there are 35 cats, how many dogs are there?
Answer:
Step-by-step explanation:
there are 18 dogs
Answer:
14
Step-by-step explanation:
So the ratio of dogs (2) to cats (5) is 2:5
How did we go from 5 to 35?
Multiply by 7
So multiply 2 with 7 which is 14
So there are 14 dogs
Hope this helps!
Find x such that x, 56, 65 is a Pythagorean triple.
Help ASAP
Answer: 59
Step-by-step explanation:
Answer:
x = 33
Step-by-step explanation:
b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2
???????????????????????????????????///
Answer: is
59
Step-by-step explanation:
pls give brainly
What is the perimeter of this equilateral triangle?
Choices
4
20
40
60
Answer:
60
Step-by-step explanation:
If it is an equilateral triangle the sides are equal
24-x = 5x
Add x to each side
24-x+x = 5x+x
24 =6x
Divide by 6
24/6 =6x/6
4 =x
Each side is 5x or 5*4 = 20
Add the 3 equal sides
20+20+20 = 60
The perimeter is 60
Answer:
60
Step-by-step explanation:
In this case, to find the perimeter, we need to know the value of at least one side.
Since this triangle is equilateral, [tex]5x=24-x[/tex].
Adding x to both sides results in [tex]6x=24[/tex], and subsequently, [tex]x=4.[/tex]
Now that we know x equals 4, we can plug this into either 5x or 24-x and find out that one of the sides is 20.
Equilateral triangles have three equal sides, so 20 times 3, or 60, is the perimeter. I hope this helped!
Solve the following equations:
a)
4b = 20
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
Answer:6
Step-by-step explanation:
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
The graph of the linear equation can be seen below.
Which graph represents the given function?
Here we have the linear function:
y = 5x + 3
To graph this, we need to find two points on the equation and then connect them with a line.
By evaluating in 0 we get:
y = 5*0 + 3 = 3
So the point (0, 3) is on the line.
By evaluating on 1 we get:
y = 5*1 + 3 = 8
So we have the point (1, 8).
Now we just plot them and connect them with a line, the graph is the one below.
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What is the coefficient in the following expression? 5a2-7
Answer:
coefficient = 5
Step-by-step explanation:
A card is drawn from a standard deck, put aside, and then another card is drawn. What is the probability that the first card is a king and that the second card is a queen?
1/221 chance of getting that exact outcome, pretty sure uwu
i play poker so i gotta learn stuff like this
Help please asap tysm! 10 brainly points! Will mark brainliest! if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
A = (-6,5)
B = (-6,-8)
Length = 5 -(-8)
Length = 13
in the figure below, p ||q.
find m 7 if m 8=116°
Answer:
m∠7 = 64°
Step-by-step explanation:
∠7 and ∠8 are supplementary meaning they add up to 180°.
m∠7 + m∠8 = 180°
m∠7 + 116° = 180°
m∠7 = 64°
Answer:
180-116=64
Step-by-step explanation:
Angles sums should be 180 since it is straight angle
Can someone help I don’t understand my answer are not adding up
Answer:
B
Step-by-step explanation:
∠ ABC = 9x + 5 ( alternate angles )
∠ ABC and ∠ DCB are sam- side interior angles and sum to 180° , that is
9x + 5 + 16x = 180
25x + 5 = 180 ( subtract 5 from both sides )
25x = 175 ( divide both sides by 25 )
x = 7
Then
∠ ABC = 9x + 5 = 9(7) + 5 = 63 + 5 = 68° → B
Problem 8: What is the experimental Probability of spinning a green or
blue *
Color
Number of
Spins
Green
6
Blue
9
Yellow
14
Orange
11
Does anyone know the answer?
Answer:
if u put a penny in a microwave it change color u should try
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder Round your answer to the nearest tenth.
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
PLEASE HELP ME!! THANK YOU SO SO MUCH!
EXPLANATION = BRAINLIEST & FIVE STARS
One early afternoon, Dennis' shadow is 11 inches long. If Dennis is 60 inches tall, the distance between the top of his head and the end of the shadow is ___ inches.
Answer:
61inchesLet the distance between the top of his head to the end of the shadow be d.
Dennis is standing perpendicular to the shadow. So the triangle formed is a right triangle.
Using the Pythagoras Theorem, d^2 = 11^2 + 60^2 d^2 = 121 + 3600 d^2 = 3721 d = sqrt(3721) d = 61 inches
In a circle, the length of an arc incepted by a central angle is 12mm, and the radius of the circle is 8mm. What is the measure, in radians, of the circle?
I need help for this problem.
Answer:
Step-by-step explanation:
12x+15x+8x+5=180 degree(being sum of interior angles of a triangle)
35x=180-5
x=175/35
x=5
Answer:
Step-by-step explanation:
Equation
12x + (8x + 5) + 15x = 180 All triangles have 180o for their interior angles.
12x + 8x + 5 + 15x = 180 Combine like terms on the left
35x + 5 = 180 Subtract 5 from both sides
- 5 -5
35x =175 Divide by 35
x = 5
It's not clear what you want. x = 5 is one possibility
12x = 60
15x = 75
8x+5=45
is another possiblity
3) Ming and Amanda are selling pies for a school fundraiser. Customers can buy blueberry pics and lemon meringue pies. Ming sold i blueberry pie and 3 lemon meringue pies for a total of $66. Amanda sold 4 blueberry pies and 6 lemon meringue pies for a total of $150. Find the cost each of one blueberry pie and one lemon meringue pie.
Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%, compounded annually. Paul considers two options to repay the loan.
Option 1: Pay $200 each month, until the loan is fully repaid
Option 2: Make 24 equal monthly payments.
a. Use option 1 to calculate
the number of months it will take for Paul to repay the loan.
b. Use option 1 to calculate the total amount that Paul has to pay.
c. Use option 2 to calculate the amount Paul pays each month.
d. Use option 2 to calculate the total amount that Paul has to pay.
e. Give a reason why Paul might choose option 1.
f. Give a reason why Paul might choose option 2.
Answer:
a. It will take approximately 40 months
b. The total amount Paul has to pay is approximately $8,000
c. The amount Paul pays each month is approximately $316.59
d. The amount Paul has to pay is approximately $7,598.16
e. Lower monthly payment
f. Lower total payment amount (amount to be paid)
Step-by-step explanation:
a. The loan amount, PV = $7,000
The annual interest rate, r = 8%
Option 1; The amount of equal monthly payment to repay the loan = $200
Option 2; The number of equal monthly payment to repay the loan = 24
The formula for the present value of an annuity is given as follows;
[tex]PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}[/tex]
Where;
PMT = The monthly payment
n = The number of months
Where PMT = $200, we have;
[tex]200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}[/tex]
[tex]1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}[/tex]
[tex]1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}[/tex]
[tex]-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988[/tex]
∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months
b. The total amount Paul has to pay, A = PMT × n
Therefore, b plugging in the values of PMT, and 'n', we get;
A ≈ $200 × 40 = $8,000
c. Using option 2, we have;
n = 24
Therefore;
[tex]PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59[/tex]
The monthly payment, PMT ≈ $316.59
d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16
The total amount Paul has to pay using option 2, A ≈ $7,598.16
e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment
f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.
A) It will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
Since Paul wants to buy a car, and he needs to take out a loan for $ 7000, and the car salesman offers him a loan with an interest rate of 8%, compounded annually, and Paul considers two options to repay the loan (Option 1: Pay $ 200 each month, until the loan is fully repaid, and Option 2: Make 24 equal monthly payments), for:
A) Use option 1 to calculate the number of months it will take for Paul to repay the loan. B) Use option 1 to calculate the total amount that Paul has to pay. C) Use option 2 to calculate the amount Paul pays each month. D) Use option 2 to calculate the total amount that Paul has to pay. E) Give a reason why Paul might choose option 1. F) Give a reason why Paul might choose option 2.
The following calculations must be performed:
A) 7000 x 1.08 ^ 4 = 9,523.42
200 x 12 x 4 = 9600
Therefore, it will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) 7000 x 1.08 ^ 2 = 8,164.80
8,164.80 / 24 = 340.20
Therefore, Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
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Divide: 6 ÷ 1/2=12
To verify the answer with a model, you could show ? circles.
Each circle would be divided into ? equal parts.
? parts would be shaded.
Answer:
1=6
2=2
3=12
edge 2021 the 1st girl was right for the 2nd one but the rest was wrong..
Step-by-step explanation:
Answer:To verify the answer with a model, you could show
✔ 6
circles.
Each circle would be divided into
✔ 2
equal parts.
✔ 12
parts would be shaded.
Step-by-step explanation:am nice trust,
Which one is greater 5.3 or 5 1/3
Answer:
5 1/3 > 5.3
Step-by-step explanation:
1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...
The fraction 5 1/3 is greater than 5.3.
What is a fraction?A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.
For the given situation,
The decimal number is 5.3.
The mixed fraction is 5 1/3.
First, convert this fraction to a decimal number to check which is greater.
[tex]5\frac{1}{3}=\frac{16}{3}[/tex]
⇒ [tex]5.33[/tex]
On comparing these two decimals 5.33 and 5.3, we can conclude that 5 1/3 is greater than 5.3.
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Find the OL length
Please
Answer:
M N o 3 9:Ol length-P∆kon-60+39-99
