Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
Answer:
91 ft × 51 ft
Step-by-step explanation:
while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).
and it assumes you can find the right factoring of the expression.
so, I will show you here how to generally solve this, even if you cannot find the right factorization :
l×w = 4,641 ft²
w = 4641/l
2l + 2w = 284
2l + 2(4641/l) = 284
2l + 9282/l = 284
2l² + 9282 = 284l
2l² - 284l + 9282 = 0
to make things easier let's divide everything by 2
l² - 142l + 4641 = 0
the general solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = l
a = 1
b = -142
c = 4641
l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =
= (142 ± sqrt(20,164 - 18,564))/2 =
= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20
l1 = 71 + 20 = 91
l2 = 71 - 20 = 51
w1 = 4641/91 = 51
w2 = 4641/51 = 91
so, they are interchangeable (it does not matter which we call length and which width).
the dimensions are 91 ft × 51 ft
32 is what percent of 50?
64%
70%
1.5%
156%
Answer:
64% hope this helps
Step-by-step explanation:
I'm just smart
Answer:
The answer is 64%
Step-by-step explanation:
5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
answer "Less than"
Step-by-step explanation:
a) 1 2/3 = 5/3 = 1.666 ...
b) 1 5/6 = 11/6 = 1.833 ...
a < b
Answer:
1 5/6 > 1 2/3
Step-by-step explanation:
=> 1 5/6 = (1*6)+5/6
=> 1 5/6 = 6+5/6
=> 1 5/6 = 11/6
so like that, 1 2/3 = 5/3
now the denominators should be the same
for that,
5*2/3*2 = 10/6
11/6 and 10/6
=> 11/6 > 10/6
=> 1 5/6 > 1 2/3
An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,
Answer:
The correct answer is "the term number, n."
Step-by-step explanation:
Answer:
Step-by-step explanation:
on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%
help me out i will give brainlist
Answer:
no
Step-by-step explanation:
0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100
she requires to have 60 out of 100 , that is
[tex]\frac{60}{100}[/tex] = 0.6
hey who knows this? i need help
Answer:
I don't see any thing there
Step-by-step explanation:
u need to include the picture
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
PLS HELP MEEE
The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.
[tex]\rm \dfrac{x}{y}=\dfrac{5}{2}[/tex]
Let the number of dolls Jacky be x and the number of dolls Peter be y.
But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have
x - 15 = y + 15
x = y + 30
Then we have
[tex]\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}[/tex]
Then x will be
x = y + 30
x = 20 + 30
x = 50
Then the total number of dolls they have altogether will be 70.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Answer:
70
Step-by-step explanation:
BECAUSE
table:
0 16
2 23
4 33
6 48
8 69
10 99
is this linear or exponential?
Answer:
exponential
Step-by-step explanation:
it is an exponential function
+7
+10
+15
+21
+30
hello me again, answer this question, please show work
Answer:
6x
Explanation:
A number is x. 6 x x is written as 6x
Answer:
6x or 6*x
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
6 is multiplied by a number
6x
6 * x
Hope this helps!
indicate the formula for the following conditions.
P(n,r) = ?
Answer:
P (n,r)= [tex]\frac{n!}{(n-r)!}[/tex]
Step-by-step explanation:
P (n,r)= ?
complete formula for permutation of objects in a set:
P (n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in
Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²
How to calculate the total surface area of a rectangular prismLength = 20 inwidth = 8 inHeight = 13 inTotal surface area = 2(lw + hw + lh)
= 2(20×8 + 13×8 + 20×13)
= 2(160 + 104 + 260)
= 2(524)
= 1,048 in²
Learn more about surface area:
https://brainly.com/question/1310421
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Enter your answer in the box.
V = m³
Answer:
14,085m³
Step-by-step explanation:
9*5*13
9*5=45
45*313=14,085
14,085
A sector with arc measure 72º has an
area of 80 square feet. Determine
the radius of the circle.
A 18 ft
C 12 ft
B 20 ft
D 16ft
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the Radius ~
[tex]\qquad \sf \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]
or
[tex]\qquad \sf \dashrightarrow \:r \approx 11.28 \: ft[/tex]
I hope you understood the whole procedure, let me know if you have doubts ~
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
What phrase is a description of 2m + 7
Answer: 7 more than 2 times a number
Step-by-step explanation:
To describe 2m it would by 2 times m since it is multiplication
When describing a variable simply call it a number
Now we have "2 times a number", but we still need to incorporate the +7
To represent +7 we can say "7 more" since that represents addition
So we end up with "7 more than 2 times a number"
Answer:
2 times m + 7
Step-by-step explanation:
2 is the coeficient
m is the y additive
The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60
Answer:
54 seats
Step-by-step explanation:
To make it easier, I'll put it like this.
Row | Seats
1 | 24
2 | 30
3 | 36
4 | 42
5 | 48
6 | 54
(Add 6, because each row has 6 more seats than the row in front of it.)
So, the 6th row has 54 seats.
Hope this helped !
Line n goes through points A and B. What is the slope of line n?
Point A;(4,7)
Point B:(18,17)
Answer:
The slope is 5/7.
Step-by-step explanation:
Use a slope formula.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y₂ = (17)
y₁ = (7)
x₂ = (18)
x₁ = (4)
Rewrite the problem down.
[tex]\sf{\dfrac{17-7}{18-4}=\dfrac{10}{14}={\dfrac{10\div2}{14\div2}=\boxed{\sf{\dfrac{5}{7}}}[/tex]
Therefore, the slope is 5/7.
I hope this helps! Let me know if my answer is wrong or not.
Answer:
5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(17-7)/(18-4)
m=10/14
simplify
m=5/7
Find the length of the altitude.
[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]
Answer:
Area of a trapezoid :
[tex]area = \frac{a + b}{2} h[/tex]
The measures given are trapezoid
Area = 135
base 1 = 22
base 2 = 8
[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]
Step-by-step explanation:
We can check if the answer is right
[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]
answer fast its a test q.
based on the statement is true?
Answer:
the right answer is F (exterior angle of triangle is equal to its sum of opposite interior angle of a traingle)
Answer: W = 40 degrees.
Step-by-step explanation: When you're finding a missing interior angle, all you need is the angle measurements of the other two angles. According to the picture, we have two 70's given, which both add up to 140. All the interior angles of a triangle need to add up to 180, and we have 140 so far. That's where the missing angle comes in. When you subtract 140 from 180, you get 40, which is your missing angle.
Let me know if this is right! :)
The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
enter the value of 4 1/4 - 5/7 + (-2/7) - (-3)
Answer:
[tex]=6\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]4\frac{1}{4}=\frac{4\cdot 4+1}{4}[/tex]
[tex]=\frac{17}{4}[/tex]
[tex]=\frac{17}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]=\frac{99}{28}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]=\frac{99}{28}-\frac{2}{7}-\left(-3\right)[/tex]
[tex]=\frac{13}{4}-\left(-3\right)[/tex]
[tex]=\frac{13}{4}+3[/tex]
[tex]=\frac{25}{4}[/tex]
[tex]\frac{25}{4}=6\frac{1}{4}[/tex]
[tex]=6\frac{1}{4}[/tex]
-{ModPatrol}
Calculator
40%Increased in 360
Answer:
504
Step-by-step explanation:
40%=.40
360*.40=144
original number + increase = x
360+144=504
5547x94
what is the answer
Answer:
521418
Step-by-step explanation:
The radius of a quarter circle is 3 what is the quarter circle's perimeter?
Answer:
21.42
Step-by-step explanation:
Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42
Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.
Yes julia is correct the run of the scond similar triangle will be b2=25.
What are simlilar traingles?The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.
In the given:
Height of first triangle h=3
Base of first traingle =10
Height of second triangle =7.5
The base of second triangle b2 = ?
From the triangle similarity
[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]
[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]
[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]
[tex]b_2=25[/tex]
Thus julia is correct the run of the scond similar triangle will be b2=25.
To know more about similar triangle follow
https://brainly.com/question/2644832
help me quickly
102% of 120=
102 is what percent of 120? = 85.
Answer:
122.4
Step-by-step explanation:
this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.
help please this assignment is due in a few minutes
Answer:
C. 200 hours
Step-by-step explanation:
According to the given Question ,
Speed of Aeroplane is 400miles/hourIt means that the aeroplane covers 400 miles in 60 minutes.
and it is asked for 30 minutes , so
We know that 30 minutes is equal to 0.5 hours
By the formula ,
Distance = Speed × Time
putting the values given , we get
= 400×0.5
Distance = 200 miles
PLEASE HELP ASAP
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
i think it B
Step-by-step explanation:
Kelly has some money. She spends $17.50 on clothes,
She has $6.21 left. Which model represents this?
a $17.50 -6.21 =n
b. n - 17.50 = 6.21
c. n + 17.50 = 6.21
d. n + 6.21 = 17.50
Explain.
Answer:
b
Step-by-step explanation:
because we dont know what she started with.
Answer:
b) I guess
Step-by-step explanation:
she has n. she spends $17.50 (-). she has $6.21 left
n - 17.50 =$6.21
n-17.50=$6.21
Which product has 4 zeros after the digit 3?
0.03 x 104
0.3 x 104
0.3 x 10
0.03 X 109
Answer:
0.03×104=3.12
0.3×104=31.2
0.3×10=3
0.03×109=3.27
these are the products
hope it helps!
What is the number halfway between 8516 and 8586?
Answer:
8551
Step-by-step explanation:
The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551What is the slop of the line?
5(y+2)=4(x-3)
A. 3/2
B. 2/3
C. 4/5
D. 5/4
Answer:
c. 4/5
Step-by-step explanation: