Answer: 22 cm.
Step-by-step explanation:
Formula for area of trapezium: [tex]Area = \dfrac12 (\text{Sum of parallel sides})\times \text{(Distance between them)}[/tex]
Given: Area = [tex]550\ cm^2[/tex]
Length of parallel sides : 23 cm and 27 cm
Let h=distance beteen them.
then
[tex]550=\dfrac12 (23+27)(h)\\\\\Rightarrow\ 550=\dfrac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=\dfrac{550}{25}\\\\\Rightarrow\ h= 22[/tex]
Hence, the distance between them = 22 cm.
Carrie borrowed $800 dollars from her aunt at 8% interest per year. If she paid her a total of $448 in simple interest, how many years did it take her to pay her aunt back?
Answer:
7 years
Step-by-step explanation:
800/100= 8 8x8=48
448/48=7
sorry if im wrong i tried
if i am wrong then the answer is 6 but try the 7 years choice first
(1) Find the area of minor sector AOB
(2) Find the perimeter of the circle
Answer:
to find answers we first need the radius , in this case we find it using arc length
arc length = [tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{230\pi r}{360}[/tex]
18.07x360=[tex]230\pi r[/tex]
r=[tex]\frac{18.07*360}{230\pi }[/tex]
r=9cm
1) area of minor sector= [tex]\frac{115}{360}*\pi r^{2}[/tex]
=[tex]\frac{115}{360}*\pi* 9^{2}[/tex]
= 81.29[tex]cm^{2}[/tex]
2) perimeter of the circle is the same as its circumference which is [tex]2\pi r[/tex]
circumference=[tex]2\pi r[/tex]
= [tex]2*\pi *9[/tex]
=56.55cm
Step-by-step explanation:
−2 ≤ 8
answer quick please
Answer: True
Step-by-step explanation:
The inequality is always True
6(-3x+8)=-3(5x +4) solve for x
6(-3x+8)=-3(5x +4)
Distributive property:
-18x + 48 = -15x -12
Add 15x to both sides:
-3x + 48 = -12
Subtract 48 from both sides:
-3x = -60
Divide both sides by -3:
x = -60 / -3
x = 20
The large piston in a hydraulic lift has an area of 2m^2. What force must be applied to the small piston with an area of .2m^2 in order to raise a car that weighs 14,700 Newtons
Answer:
147,000N
Step-by-step explanation:
A1= 2m^2
A2= 0.2m^2
F2= 14,700N
Required
F1, the applied force
Applying the formula
F1/A1= F2/A2
substute
F1/2=14700/0.2
2*14700= F1*0.2
29400= F1*0.2
F1= 29400/0.2
F1=147,000N
Hence, the applied force is 147,000N
please help me please will give brainliest to anyone who is good
show your work
Answer:
A
Step-by-step explanation:
2 and 1/2 is can be written as 5/2
5/2 cups of soda for every 2/5 cup of pineapple juice
Unit rate means per 1 of something, in this case pineapple juice
5/2 per 2/5 or (5/2) / (2/5)
5/2 ÷ 2/5 = 25/4 or 6 and 1/4
math help plz need asap
Answer:
Below
Step-by-step explanation:
Sides that are larger have bigger opposite angles, so smaller sides have smaller opposite angles, so:
1.
Angle R
Angle P
Angle Q
2.
Angle J
Angle L
Angle K
i need question number 2 IN DETAIL! How did u get the answer? I NEED FULL SOLUTIONS WITH EXPLANATION EITHER IN WORDS OR AS EQUATIONS OR BOTH. THANK YOU. I WILL MARK BRAINLIEST TO THE BEST ANSWER.
16. 75/100 whats inside the big 1
answer: 15
there is 15 left.
Pls answer this! :)
Answer:
11 in
Step-by-step explanation:
1 in=270 ft
2970/270=11
Please help due ASAP
Show workings
Answer:
x=52
Step-by-step explanation:
since its an isosceles triangle, both sides are to have the same length.
so x+10+x+10+3x=180(all angles added in a triangle gives 180)
5x+20=180
5x=180-20
5x=160
x=160/5
x=52
Which expression would be easier to simplify if use the commutative property to change the order of numbers?
I WILL GIVE BRAINLIEST!!!!! Pls answer
If I have an equation in which x = pounds, and y = total cost, can I substitute quarts into the equation
Answer:
Yes, you can
Step-by-step explanation:
As a point of reference, assume the equation is:
[tex]y = 5x[/tex]
Where
[tex]y = total\ cost[/tex]
and
[tex]x = pounds[/tex]
In standard unit of conversion:
[tex]1\ pound = 0.4793\ quart[/tex]
So:
[tex]x\ pounds = 0.4793x\ quart[/tex]
Substitute 0.4793x for x in [tex]y = 5x[/tex]
[tex]y = 5 * 0.4793x[/tex]
[tex]y = 2.3965x[/tex]
The above equation is the equivalent of [tex]y = 5x[/tex] in quarts
So, irrespective of what the equation is, you can always substitute quarts into the equation.
Ratio 400g : 1kg can be written in the form 1 : n find the value of n?
I cant figure this out please can i have some help and reply's thanks.
The Sandberg Institute building in Amsterdam generates revenue by selling advertising space on the exterior of the building. The building is a rectangular prism with dimensions 50 m by 40 m by 75 m. Suppose it costs 1 Euro per month to rent an advertising space of 50 cm2 . Each of the 4 walls of the building is covered with advertisements. How much money will the institute earn in one month?
Answer:
2.7 million euros per month
Step-by-step explanation:
Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,
A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m
Substituting the values of the variables into A, we have
A = 2h(l + w)
= 2(75 m)(50 m + 40 m)
= 150 m × 90 m
= 13500 m²
= 13500 × 1m²
= 13500 × 10000 cm²
= 135000000 cm²
= 1.35 × 10⁸ cm²
Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²
= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²
= 0.027 × 10⁸ Euro per month
= 2.7 × 10⁶ Euro per month
= 2.7 million euros per month
So, the institute will earn 2.7 million euros per month
what is 96.92 simplify
We round up to 97 and the divide to the point it can to be divided anymore
The shelter buys food for the animals in large quantities to save on cost. The 80 cans of cat food currently on hand were purchased for $124.00. What was the unit cost or cost per can of cat food?
$__ per can
A bakery makes small batches of bread daily. Each day, the bakery records the amount of flour used the number of loaves of bread made. All loaves are approximately the same size. The table and graph show the bakery’s data for five days.
write an equation that can be used to model the number of loaves of breast, y that can be made from x pounds flour
Use an equation to predict the number of loaves that can be made from 85 pounds of flour show your work or explain your answer
Answer:
The slope of the line would be the constant of proportionality for the line
shown. The point (35, 49) is really close the line which would make the
constant of proportionality 49/35 = 7/5. The equation of the line would be y =
7/5x. The number of loaves of bread from 85 pounds of flour would be
7/5(85) = 119 loaves.
Step-by-step explanation:
A ratio of the rise to a run, or the rise divided by run, is the slope of the line. It denotes how steep a line would be in the coordinate plane.
Slope calculation:This line's slope would be the proportional constant.This point (35, 49) is extremely near to the lines that would result in the linear constant [tex]\frac{7}{5} = \frac{49}{35}[/tex] , the line's equation is [tex]y = \frac{7}{5x}[/tex]. Using 85 pounds of flour, Calculate the loaves of bread that may be made [tex]\frac{7}{5(85)} = 119[/tex] loaves.Therefore, the equation was used to forecast the number of loaves that could be created from 85 pounds of flour, and the result was 119 loaves.Find out more about the slope here:
brainly.com/question/3605446
please help, thanks if you do!
Answer:
6
Step-by-step explanation:
it's given that x=1
y=-(1)+7
y=-1+7
y=6
Answer:
y = 6
Step-by-step explanation:
Given (1, y ) is on the graph of y = - x + 7
Substitute x = 1 into the equation and evaluate for y
y = - 1 + 7 = 6
Then (1, 6 ) lies on the graph
Nick was thinking of a number. Nick adds 5 to it, then doubles it and gets an answer of 98.4. What was the original number?
Answer:
44.2
Step-by-step explanation:
Nick was thinking of a number
Let the number be x
= 98.4/2
= 49.2
= 49.2-5
= 44.2
Hence the number Nick was thinking of is 44.2
Shayla sells renters' insurance. Her company recently changed how it pays employees.
Under the old system, she received a 15% commission on each insurance policy that she
sold. Now there is a new system where she receives $750 for each insurance policy she
sells. If she sells a $5,000 insurance policy, how much more or less of a commission does
she make under the new system?
A.$50 less
B.$112.50 more
C.$112.50 less
D.The commissions are the same.
Answer:
100 + 15 = 115
5000/100 X 115 = 5750
5750 - 5000= $750
answer D commission is the same
Jawad has seven rocks.
The total weight of all seven rocks is 5kilograms 6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams of the other rock
680 grams.
So, it's telling us to calculate the weight, in grams, of the other rock.
So firstly,
6 of the rocks EACH have a weight of 720 grams.
So, 6 x 720 = 4320
Now save 4320 for later.
Next, we need to convert the 5 kilograms into grams.
So, 5 x 1000 = 5000
now do, 5000 - 4320 = 680.
Your final answer would then be = 680g
I hope this helped.
The store rents wigs by the hour. He spent $40 to rent a wig for 8 hours. Write an equation to represent the relationship.
40 divided by 8 = 5
Mark Me Brainliest Please
Plz I need help asap i only have 10 mins to answer this.PS-dont tell me yo look it up cuz its not there.
Answer:
A skateboarder travels down 2 meters a second
Step-by-step explanation:
The slope is 4 / 2 = 2
5 star, thank, and brainliest if helpful!
Whats the Answer? I need help and quick
Answer:
10
Step-by-step explanation:
if you want brainlest
5 starred and thanks daily just do this correctly
thanks, good luck
Answer:
The completed table is shown below
Step-by-step explanation:
Proportional Relationship
Two variables H and M have a proportional relationship if the following equation is satisfied:
M = kH
Where k is the constant of proportionality.
The table shows one complete point: H=1.5, M=6. This allows us to find the value of k:
6 = 1.5k
k = 6/1.5 = 4
Now we know the complete relationship between distance and time:
M = 4H
To complete the table, we just give the required values and calculate the corresponding value.
For H=0 hours, M=4*0 = 0 miles
For H=0.5 hours, M=4*0.5 = 2 miles
For H=1 hours, M=4*1 = 4 miles
For H=6.5, M=4*6.5 = 26 miles
For M=12 miles, H=12/4 = 3 hours
The completed table is shown below
What is 4.7 x 10 to the power of -3 equal to?
Answer:
0.0047
Step-by-step explanation:
there is no step by step explanation to this
It would be equal to 0.0047!
The profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded the profit for the first 10 years since the outlet opened.
Answer:
Step-by-step explanation:
Vertex of the given parabola is (4, 160)
Since, graph of the parabola is increasing between x = 0 to x = 4,
Profit earned will be between t = 0 and t = 4
Therefore, domain represents the number of years.
Since, profit of the outlet (y-values) vary from x = 0 to x = 10
And value of profit varies from 0 to 160 thousand dollars, so the range of the function will be (0, 160)
Range of the function represents the outlet's profit.
Romeo will roll a 6-sided number cube, numbered 1-6, twice. What is the probability of rolling an odd number on the 1st roll and then the number 4 on the 2nd roll?
What is the slope-intercept of the line containing the point (-5, 1) and having the slope 7
