Answers
Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]
Related Questions
17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.
Answers
Answer:
[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]
[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle = w + 3
Perimeter of a rectangle = 28 inches
To find : dimensions of the rectangle ( length and width )
Finding the width of a rectangle ( w )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]
Width of a rectangle = 5.5 inches
Now, replacing / substituting the value of w in order to find the length of a rectangle
[tex] \sf{ length = 3 + w}[/tex]
[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]
[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]
Length of a rectangle = 8.5 inches
Hope I helped!
Best regards! :D
The sum of two numbers is 77. The greater number is 5 more than the smaller number. Which equation
can be used to solve for the smaller number? (5 points)
1) x(x-5)=77
2) x(x+5)=77
3) x+(x+5)=77
4)x-(x+5)=77
Answers
Answer:
3)
Step-by-step explanation:
X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines
Miranda wants to join Kick Start Gym and they have two plans she can choose from. Plan A will cost $12 per month plus a $130 joining fee. Plan B does not have a joining fee, but will cost $25 per month. Write and solve an equation to find the number of months for which the cost of each plan is equal.
Answers
Answer: 10
Step-by-step explanation:
Cost of any plan = Joining fee + (Per month fee ) × (number of months )
Let x be the number of months for which the cost of each plan is equal.
Cost of plan A = 130 + 12 x
Cost of plan B = 0+ 25x = 25x
According to the question,
[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]
Hence, the number of months for which the cost of each plan is equal is 10.
the perimeter of a rectangle is 28 meters and the length of the base is 8 meters. find the height of the rectangle.
Answers
Answer:
6 meters
Step-by-step explanation:
We know that the perimeter of a rectangle is the sum of the length and height doubled, therefore, we can write the following equation:
28 = 2 * (8 + h) where h = height
14 = 8 + h
h = 6 meters
3. Which of the following does not have a
value that is greater than 0?
a. (-14)
b.
y
C. 0.052
d. -42
Answers
Answer:
C. 0.052
Step-by-step explanation:
A and D are negative.
That means that they come before 0 and are therefore smaller than 0.
We do not know the value of B.
C is a positive number, meaning it comes after 0 and is therefore greater than 0.
4(9 ÷3)2 I need this answered now:(
Answers
Answer:
24
Step-by-step explanation:
4x(9/3)x2
9 divide by 3 is equals to 3, so 4x3=12 and 12x2= 24
24 cm
32 cm
What is the length of the hypotenuse of the triangle?
Answers
Answer:
c= 40
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 32^2 = c^2
576+ 1024 = 1600
you have to square your number once you get the sum.
1600 squared is 40
c=40
I hope this helped
Divide 624 in the ratio 10 : 6.
Answers
Answer:
390:234
Step-by-step explanation:
10+6=16
624/16=39
39*10=390
39*6=234
390:234
the the degree of 3x*5y*2
Answers
Answer:
The degree of the given expression is 2
Step-by-step explanation:
the degree of equation is 2
hope it is helpful to you
V(18, -17) and W(3,9)
Find the mid points
Answers
Answer:
[tex]=\left(\frac{21}{2},\:-4\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)[/tex]
Mark Scott bought a digital camera through the store installment plan. The camera sells for $499.99. Determine the amount he financed if he made a 20 percent down payment.
Answers
Answer: A.
The article published in the journal is more credible because it is a newer issue.
Mark is writing a paper about digital cameras. He thinks that in the future most people will use only the cameras in their phones.He asks his friend’s older brother, Sam. Sam knows a lot about digital cameras. Sam gives him plenty of information about cameras. Sam agrees with Mark when he says that in the future most photos will be taken with camera phones. He also gives Mark a book containing advertisements of cameras from the years 2000 to 2010.
Later, Mark visits the local library. He looks up the latest issues of magazines on cameras and photography. Mark goes through many magazines. Finally, he finds an article in a photography journal that is well-known, and was published by a famous camera company. The article was written in 2015 by a popular photographer.
Which of these sources would give the best information?
A.
The article published in the journal is more credible because it is a newer issue.
B.
The information supplied by Sam is credible because he knows a lot about cameras.
C.
The magazines are more credible because they are the latest issues.
D.
The book with advertisements is more credible because it has more information.
Step-by-step explanation:
Solve the equation below for y. 3x+4y=12
Answers
Answer:
y=-3/4x+3
Step-by-step explanation:
3x+4y=12
Subtract 3x from both sides:4y=-3x+12
Divide 4 on both sides... y=-3/4x+3
and we got our answer.
Which of these is not a denomination of modern U.S. currency?
A. $500
O B. $100
O c. $2
O D. $50
Answers
What are the coordinates of (2. -7) after the translation
(x,y) → ( x-2, y + 3)
Answers
Method ; x-axis: 2 – 2 = 0
y-axis: -7 + 3 = -4
how do you convert a percent to a fraction?
Answers
Answer:
Step 1: Write down the percent divided by 100 like this: [tex]\frac{percent}{100}[/tex]
Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)
Step 3: Simplify (or reduce) the fraction
Step-by-step explanation:
Example:
Step 1: Write down:
[tex]\frac{11}{100}[/tex]
Step 2: The percent is a whole number, go straight to step 3.
Step 3: The fraction cannot be simplified further.
Answer:
To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.
For example:
[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]
[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]
[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]
[tex] \star[/tex] Percentage are fractions whose denominators are 100
[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.
[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.
[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.
[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.
[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.
Hope I helped!
Best regards! :D
Solve for x:
- 11x + 32.5 < 82
Answers
Answer:
x>-4.5
Step-by-step explanation:
- 11x + 32.5 < 82
Subtract 32.5 from each side
- 11x + 32.5-32.5 < 82-32.5
- 11x < 49.5
Divide each side by -11. remembering to flip the inequality since we are dividing by a negative
-11x/-11 > 49.5/-11
x>-4.5
Carmen says that she has 4/10 of a dollar.Troy says that he has 50/100 of a dollar.Together,what fraction of a dollar do they have
Answers
Answer:
9/10 of a dollar
Step-by-step explanation:
50/100=5/10,
so 5/10+4/10=9/10
Together they will have 9/10 part a dollar.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here, Carmen has 4/10 of a dollar and Try says he has 50/100 part of a dollar, now to calculate the fraction of dollar together they will be having will be the sum of Carmen and Troy part of dollar :
[tex]\begin{aligned}\frac{4}{10}+\frac{50}{100}&=\frac{4}{10}+\frac{5}{10}\\&=\frac{9}{10}\end{aligned}[/tex]
Therefore, together they will have 9/10 part a dollar.
Read more about ratio at:
https://brainly.in/question/1239848
#SPJ2
Evaluate
x(-6) (-4)
When x= -2
Answers
Answer:
=24x
Step-by-step explanation:
X×(-6)×(-4)=24
two negatives cancel out and turn the 24 to a positive number
6×4=24
Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 59,800 copies between services, how many copies would the competitor run?
Answers
Answer:
The competitor will run 48,225.81 copies.
Step-by-step explanation:
Brand x copier run 59,800 copies between services
Brand X copiers run 24% longer between service calls than its competitor.
Let x = copies run by the competitor between services
Number of copies the competitor will run is
24% of x + x = 59,800
0.24x + x = 59,800
1.24x = 59,800
x= 59,800 / 1.24
x = 48,225.81
Therefore, the competitor will run 48,225.81 copies.
1. Max has more than 5 carrots (number of carrots Max has = c).
Answers
Answer:
c>5
Step-by-step explanation:
Max has more than 5 carrots. Therefore, the number of carrots he has (c) is greater than 5.
HELP!! Which of the following expressions represents the distance between -3.9−3.9minus, 3, point, 9 and -4.7−4.7minus, 4, point, 7?
Answers
Answer:
| -2 1/5 - 4.35|
Step-by-step explanation:
Take the absolute value of the difference of the two number
| -2 1/5 - 4.35|
12. Lin has $212 in her savings account. Her goal is to have $800 in the account in 21 weeks. How much does
Lin needs to save each week?
Answers
Answer: Lin must save at least $28 a week
Step-by-step explanation:
I got my answer by subtracting the already earned $212 from the neccessary $800 and that got me $588. Then divided the $588 by the 21 weeks from her goal to get my answer of at leaast $28 a week.
Write this statement in interval notation. * x is positive and < 17
Answers
Answer:
x is in (0, 17)
Step-by-step explanation:
The compound inequality is ...
0 < x < 17
The "equal to" case is not included on either end, so round brackets are used:
(0, 17)
2x² + x + 10 = 0 dengan rumus abc
Answers
Answer:
a = 2, b = 1 and c = 10
Step-by-step explanation:
The given equation is 2x² + x + 10 = 0 ...(1)
The general form of a quadratic equation is given by :
ax²+bx+c=0 ...(2)
We need to find the values of a,b and c in the given equation.
Comparing equation (1) and (2),
a = 2, b = 1 and c = 10
A student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 meters to be 4,968 cubic meters. Explain and correct the answer.
Answers
1 656 m³
Step-by-step explanation:The volume of a rectangular pyramid formulaV = B×h/3
= 92m²×54m/3
= 92m²×18m
= 1 656 m³Answer:
v = 1656 cubic meters
Step-by-step explanation:
what we have = base area = 92 square meters
= height = 54 meters
the volume formula of a rectangular pyramid = V=lwh /3
since base area = lw
lw = 92 meters
now we can write - 92* 54 /3
= 4968 /3
= 1656
So the corect answer is 1656 cubic meters and the student is wrong.
hope this helps pls mark brainliest
Hellppppppp meeeee I gotta pass this testtttt ty ❤️
Answers
Answer:
The second one
Step-by-step explanation:
Solve for f(-7).
f(x) = 5 - X
f(-7) = [?]
Enter
Answers
f(-7)=5+7
f(-7)=12
Answer:
[tex]f(-7)=12[/tex]
Step-by-step explanation:
[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]
Hope this helps.
If it is a non-repeating, non-terminating decimal? What’s the answer PLEASE HELP :(
Answers
Answer:
i think its repeating decimal pro
Step-by-step explanation:
Qqqqqqqq
Solve 3x + k= c for x.
O A. x=-*
B. x=3(0 - k)
C.
C + K
3
D. x = 31c+ k)
Answers
Answer:
x = c/3 - k/3
Step-by-step explanation:
Solve for x:
k + 3 x = c
Subtract k from both sides:
3 x = c - k
Divide both sides by 3:
Answer: x = c/3 - k/3
You divide first what operation would you use last 18(d/3-9)=198
Answers
Answer:
addition
Step-by-step explanation:
18 ( d - 9 ) = 198
3
divide both side by 18
d - 9 = 198
3 18
d - 9 = 11
3
multiply both sides by 3
d - 27 = 33
add 27 to both sides
d = 33 + 27
lastly, add them together
d = 60
therefore, the last step is addition