Answer:
253cm²
Step-by-step explanation:
Area of the trapezoid = 1/2(b1+b2)*h
Given
h = 22cm
b1 = 10.5cm
b2 = 12.5cm
Substitute
Area of the trapezoid = 1/2(10.5+12.5)*22
Area of the trapezoid = 1/2(23)*22
Area of the trapezoid =11*23
Area of the trapezoid = 253cm²
Hence the area of the trapezoid is 253cm²
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is:
Answer: R = √(3*r^2)
Step-by-step explanation:
For a cylinder with radius r and height H, the volume is:
V = pi*r^2*H
For a cone of height H, and with a base of radius R, the volume is:
V = (1/3)*pi*R^2*H
In this case, we know that both figures have the same height, and the same volume, then we can write:
pi*r^2*H = (1/3)*pi*R^2*H
Now we can divide by pi in both sides to get:
(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi
r^2*H = (1/3)*R^2*H
Now we can divide both sides by H:
(r^2*H)/H = ((1/3)*R^2*H)/H
r^2 = (1/3)*R^2
Now we want to write R in terms of r.
Then we need to isolate R in the above equation:
r^2 = (1/3)*R^2
3*r^2 = R^2
√(3*r^2) = R
R = √(3*r^2)
please help me find the value of x
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
Annie and lily share some money in the ratio of 2:3
Answer:
it would be 4:6
Step-by-step explanation:
It would be 4:6 because it is the same thing bu times 2
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
A student is taking a true/false quiz with 16 questions. The student has not studied and has an equal chance of answering True or False on each question. What is probability that the student will answer at least 12 questions correctly?
Chance of success
0.03841 or 3.84%
Step-by-step explanation:
3 *
(2 points)
A brick has a mass of 18.4kg and a volume of 923cm°. Evaluate the density of the brick in g/cm3 rounded to 3
The density of brick can be obtained for the given case as 197.616 g/cm³.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
The mass and volume of the brick are 18.4 kg and 923cm³ respectively.
Mass can be converted into gram as 18.4 × 1000 = 18400 g.
Since, the density is given as ratio of mass and volume.
It can be calculated as below,
⇒ 182400 ÷ 923 = 197.616 g/cm³.
Hence, the density of the brick can be obtained as 197.616 g/cm³.
To know more about ratio click on,
brainly.com/question/13419413
#SPJ2
What is the result for solving the equation for "c"?
Bc + ax =p
Answer:eeeeeStep-by-step explanation:
treeee
Lunches can be made consisting of exactly one entrée, one drink, and one snack. If all lunch options are equally likely, what is the probability of randomly choosing a lunch that
does not contain the veggie wrap
has milk or water, and
has fruit as the snack.
Write your answer as a percentage, to the nearest percent.
Entrée Chicken Cutlet Veggies Wrap Lasagna
Drink Milk Water Iced Tea
Snack Fruit Chips Jello
%
Answer:
4/27=14.8%
Step-by-step explanation:
In order to solve this, we have to see first each option possible, there are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.
In order to calculate if this could happen at random we have to multiply all of the odds:
[tex]Probability: \frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\Probability: \frac{2*2*1}{3*3*3} \\Probability: \frac{4}{27}[/tex]
So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.
There are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.
We need to now multiply the odds:
2/3x2/3x1/3
2x2x1/3x3x3
4/27
So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.
So now we know it is, %15 rounded but 14.8% not rounded.
What quadrilateral has one diagonal bisected y the other.
Answer:
kite
A quadrilateral is a kite if: one diagonal bisects the vertex angles through which it passes, or. one diagonal is the perpendicular bisector of the other diagonal.
Step-by-step explanation:
not %sure
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
The river raft ride the music park can hold 12 riders at a time there are 527 people in line how many times will the ride need to run in order to get all 527 people through the right?
can u help my lil sis out plzzzzzzzz?
Answer:
x=5
Step-by-step explanation:
the equation in 4 + 6.5x <36.5, subtract 4 from 4 and from 36.5, this will get you 6.5x < 32.5, next divide 6.5x by 6.5 and do the same with 36.5 this will get you 5.61538461538, but you can simplify this to 5
Brainliest would be appreciated
Answer:
Give the other person brain thingy :)
Step-by-step explanation:
ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!
Please help! Will give Brainly
Answer:
a 35
Step-by-step explanation:
Which equation can be used to find the volume of the cylinder?
A cylinder with a radius of 6 centimeters and a height of 8 centimeters.
V = pi (6) squared (8)
V = pi (12) squared (8)
V = pi (8) squared (6)
V = pi (8) squared (8)
Answer:
I think it's A. V = pi (6) squared (8)
(I'm so sorry if it's wrong)
Hope this Helps!
helpppppppp meeeeeee
Answer:
no ablo en inglés por q no soy loca
Your round-trip drive to school is 37 miles. How many miles do you drive to and from
school in 5 days?
CLEAR
CEC
3
8 miles
6 miles
18.1 miles
15 miles
Answer:
185
Step-by-step explanation:
Work out the surface area of this cylinder.
8 cm
+
16.8 cm
Answer:
Can someone pls help me with mine
Step-by-step explanation:
Answer:
Step-by-step explanation:
You may get a bit help from this...
Hope so
:D
PLZZZZ HELP QUICK
Ted and Katie have saved up a total of $94.00. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved?
Answer:
22
Step-by-step explanation:
94-6 divided by 4
Answer:
LOOK BELOW IN STEP-BY-STEP
Step-by-step explanation:
First, do $94.00 times 4 which is $376
Then, take away 6 dollars from $376 which is $370
Hope that helped!!!
Evaluate 4x + 5y, when x = 7 and y = 10
Answer:
78
Step-by-step explanation:
4 x 7 = 28
5 x 10 = 50
50 + 28 = 78
(-2,9) reflected over the the x-axis
Step-by-step explanation:
starting from point 0, go to the left 2 spaces, then up 9.
A man goes into a store and says, “If you give me as much money as I have with me now, I will spend $10 in your store.” The store owner agrees, and the man spends the money.
He goes into a second store and again says, “If you give me as much money as I have with me now, I will spend $10 in your store.” Again, the owner agrees, and the man spends the money.
In a third store, he repeats his proposition. The proprietor agrees, and the man spends the money.
At this point, the man has no money left. How much money did he have to begin with?
Answer:
$8.75
Step-by-step explanation:
Let x = the amount the man originally had
The man has $x and says "if you give me $x, I will spend $10."
y = amount he has after 1st proposition = x + x - 10 = 2x - 10
He repeats this procedure, now with $2x-10 in his pocket...
z = amount he has after 2nd proposition = (2x - 10) + (2x - 10) - 10 = 4x - 30
He repeats this procedure, now with $4x-30 in his pocket...but this time he is left with zero dollars...
r = amount he has after 3rd proposition = (4x-30) + (4x-30) - 10 = 8x-70 = 0
8x - 70 = 0,
x = $8.75
Mr. Lenz has received several orders for apples at his farm
stand. He needs to know how many people ordered 12
apples so he can fill bags of 12.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
A. A histogram, because Mr. Lenz wants to know all of the data for a
single value
O B. A dot plot, because Mr. Lenz wants to know all of the data for a
single value.
C. A histogram, because Mr. Lenz wants to know how the data fall
into different intervals or ranges.
D. A dot plot, because Mr. Lenz wants to know how the data fall into
different intervals or ranges.
Answer:
A, Histograms give values where as dot plots are focused on a trend.
Answer:
B
Step-by-step explanation:
I got the test
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds):
7, 14, 6, 11, 13, 5
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
Answer:
the median is 9,the mean is 9.3
Step-by-step explanation:
Look at the picture for answer choices
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answer:
answer is 3 3/20
On Monday, 475 people visited the museum. On Saturday, there were 4 times as many visitors as there was on Monday. How many people visited the museum on both days combined?
Answer:
2,375 people
Step-by-step explanation:
Hope this helps!! <3
From the list of these numbers 3,5,7,12,15,18,20
What is a factor of 10
A box contains 2 red marbles 3 green marbles and 3 blue marbles if we choose a marble then another marble without putting the first one back in the box what is the probability that the first marvel will be green and the second will be blue
Answer: 9/56
Step-by-step explanation:
Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden
Given:
Brianna had a garden Box that is 8' by 12'.
She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].
To find:
The area of her new garden.
Solution:
Let the length and width of the original garden are 8 ft by 12 ft respectively.
Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].
Length of the new garden is
[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]
Width of the new garden is
[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]
Now, the area of the new garden is
[tex]Area=Length\times Width[/tex]
[tex]Area=(4)\times (6)[/tex]
[tex]Area=24[/tex]
Therefore, the area of the new garden is 24 sq. ft.