Step-by-step explanation:
Area of Trapezium=1/2 (a+b)h =>
1/2(4.8+5.2)h=15 => h=15/5 =3 cm Ans
Area of trapezium = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).
A = 1/2 h(a+b)
150 = 1/2 h(4.8+5.2)
150 = 5h
h = 30 cm
Answer - perpendicular height of the trapezium is 30 Cm
In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.
Answer:
942 6/7 cm²
Step-by-step explanation:
Since O = Center of bigger circle, OA = Radius of bigger circle.
∴ Area of smaller circle - Area of bigger circle = Area of shaded part.
∴ Area of smaller circle = 22/7 × 10²
= 22/7 × 100
= 2200/7
= 314 2/7 cm²
∴ Area of bigger circle = 22/7 × 20 ²
= 22/7 × 400
= 1257 1/7 cm²
∴ Area of shaded part = 1257 1/7 - 314 2/7
= 942 6/7 cm²
Jon's coin collection consists of quarters, dimes and nickels. If the ratio of quarters to dimes is 5:2, and the ratio of dimes to nickels is 3:4,what is the ratio of quarters to nickels?
Answer:
The ratio of quarters to nickels is:
15:8Step-by-step explanation:
To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:
5/2 = 2.5Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:
4/3 = 1.33333333333 (we are going to use the fractional number so as not to lose decimals).As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:
q = 2.5d n = 4/3 dWhere:
q = quarters d = dimes n = nickelsAs you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values that accompany "d" in the formulas:
2.5 / (4/3) = 15/8If we express it in ratio as it is in the exercise, we obtain:
15:8So, 15:8 is the ratio of quarters to nickels, which means that for every 15 quarters, jon has 8 nickels.
What is the volume of the prism given below?
19
A. 456 units 3
B. 912 units3
C. 504 units3
D. 228 units3
ins
Answer:
456
Step-by-step explanation:
The volume of the triangular prism is equal to 456 cubic units.
What is the volume of the prism?A triangular prism is a polyhedron constructed of two triangular bottoms and three rectangular flanks. It is a three-dimensional body that has three flank faces.
A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.
The volume of the rectangular prism will be calculated by the formula given below:-
V = Bh
B = Area of the base.
h = height of the prism.
From the figure, we can see that the triangular base has a height of 6 and a base of 8 units.
Area of the Base = 6 x 8 = 48 square units.
The volume of the prism will be,
V = 48 x 19
V = 456 cubic units.
Therefore, the volume of the triangular prism is equal to 456 cubic units.
To know more about the volume of the prism follow
https://brainly.com/question/23963432
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Use the diagram of a right rectangle prism to answer the question. what is the value of the prison? enter the answer in the box
Answer:
629.3
Step-by-step explanation:
14.5x 6.2x7 =
volume.
have a nice day.
BD bisects ASAP!! WILL MARK BRAINLIEST!!
Answer:
x = 3
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC , that is
9x = 8x + 3 ( subtract 8x from both sides )
x = 3
HELP IM BEING TIMEDDDDDDDDDDDDDDDDDDDDDD
Answer:11
Step-by-step explanation:
Answer:19
Step-by-step explanation:15+4=19
19-15=4
a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.
Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
Please help part 1 part 3 and 3
Answer:
no
Step-by-step explanation:
x²-2x-5=0
a=1
b=-2
c=-5
So also you need to correct the equasion according to the schematic below:
x=(-b+-root(b²-4*a*c))/2*a
Sophie finds some dimes and quarters in her piggy bank. How much money (in dollars) does she have if she has 10 dimes and 12 quarters? How much money (in dollars) does she have if she has x dimes and y quarters?
Kendra was 46¼ inches tall. Three and a half years later, she was 49¾ inches tall. What was Kendra’s average yearly growth rate?
Answer:
Step-by-step explanation:
1 inch
Which of the following represents the graph of the equation y = 5x – 4? if ur quick u get brainlyist
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
help please i think the answer is B but i need help still
Answer:
D. The new volume is twenty-seven times the old volume.
Step-by-step explanation:
Old volume:
Volume = length x width x height
Volume = 8 x 4 x 2
Volume = 64
New volume:
Volume = length x width x height
Volume = 24 x 12 x 6
Volume = 1,728
1,728 divided by 64 = 27
Final Answer: 27
Mark me as brainliest!!
pls T_________T pls pls pls pls pls pls pls its due tonight
Answer:
Step-by-step explanation:
36 by 24 in. all you have to do is look at B, hopefully this helps!
Kate has 18 carnival ride tickets. Each ride takes 3 tickets. Kate would like to ride with Brian and Emily. Are there enough tickets for each person to ride 2 rides?
Answer:
give me brainllest if right
no
Step-by-step explanation:
help again anyone???
Answer:
5. 314.16 feet squared
6. 615.75 inches squared
7. 254.47 kilometers squared
8. 380.13 yards squared
Step-by-step explanation:
A=πr^2
For 5 and 6 plug in the numbers and multiply. For 7 and 8, they give you the diameter, to find the radius, simply divide the number by 2, then plug the number into the formula.
Have a good day :)
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
Factors = _______ and ______
Answer:
-7 & 5
Step-by-step explanation:
Answer:
Factors = - 7 and 5
Step-by-step explanation:
- 35
- 1 and 35
- 5 and 7
- 7 and 5
- 35 and 1
35 - 1 = - 34
- 5 + 7 = 2
- 35 + 1 = - 34
- 7 + 5 = - 2
Factors = - 7 and 5
voces são de que pais?
which country are you from?
seriously bro
listen if you want to make friends or relationship please PLEASE NOT HERE THERE ARE KIDS HERE PEOPLE and the massage is not only for u
What’s the volume of one cylinder?
Answer:
For the first one its: Volume = 402.12in³
For the second one its: Volume = 201.0619 in³
Step-by-step explanation:
For the first one work:
Volume = 3.1416 x 42 x 8
= 3.1416 x 16 x 8
For the second one work:
Volume = 3.1416 x 42 x 4
= 3.1416 x 16 x 4
Answer:
the formula is : V=πr2h
the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)
Step-by-step explanation:
Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.
The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.
Step-by-step explanation:
Therefore the third side should be less than 12+15 = 27cm
And also the third side cannot be less than the difference of the two sides
Therefore, the third has to be more than 15-12 = 3cm
Thus, the third side could be the length more than 3cm and less than 27cm.
A wall has 3 posters hanging on it.
The wall measures 5 feet by 8 feet.
Poster 1 measures 27 inches by 32 inches.
Poster 2 measures 1 1/4 feet by 11/12 foot.
Poster 3 measures 12 inches by 13 inches.
Approximately what percentage of the area of the wall is covered by the posters?
A. 18%
B. 20%
C. 80%
D. 82%
Answer:
C
Step-by-step explanation:
Hii I hope this helps I'm a bit rusty on this stuff but I'm sure it right
Could someone help me on question 1
thx
28 POINTS: for the data in the table, how many data points are in each group for the median-median line?
Answer: The Answer is 3rd
This figure is the net
of which geometric
shape?
A. A sphere
B. A cylinder
C. A cube
D. A cone
Simplify the product using the distributive property.
(4h + 6)(4h − 7)
16h2 − 52h + 42
16h2 + 4h − 42
16h2 + 52h + 42
16h2 − 4h − 42
Answer:
16h2 - 4h - 42Step-by-step explanation:
(4h + 6)(4h − 7)
= 4h(4h - 7) + 6(4h-7)
= 16h2 - 28h + 24h - 42
= 16h2 - 4h - 42 (Ans)
Find the volume of a right circular cone that has a height of 18.1 in and a base with a diameter of 18.7 in. Round your answer to the nearest tenth of a cubic inch.
the answer is V= 1657.0 in^3
Answer:
1657
Step-by-step explanation:
in a standard deck there are 52 cards. If Event A is "the card is black" and Event B is "the card is a king," demonstrate the equation holds true.
__ / 52 = __ / 4 × __ / 52
The demonstration of the equation is an illustration of probability
The complete demonstration of the equation is: 2/52 = 2/4 * 4/52
How to demonstrate the equationIn a standard deck, we have the following parameters:
Event A = Black card = 26
Event B = Kings = 4
Number of cards = 52
So, the probability that a card is black and a king is:
P(A and B) = P(A) * P(B)
This gives
P(A and B) = 26/52 * 4/52
Simplify
P(A and B) = 2/4 * 4/52
Evaluate the product
P(A and B) = 2/52
So, the complete demonstration of the equation is:
2/52 = 2/4 * 4/52
Read more about probability at:
https://brainly.com/question/27050847
A jacket originally priced $65 is on sale for 20% off. What is the new
sale price?
Answer:
$52
Step-by-step explanation:
If you take 65 and multiply it by 20% (or 0.2) you get 13.
Then you subtract 13 from 65 and get 52
Therefore you new sale price is $52
Hope this helps
GeneralGranato777
PLSSSSSSSSSSSSSSSSS HELP ME PLSSSSSSSSSSSSSSSSSSSSSSS
Answer:
E. None of the above
Step-by-step explanation:
We know that 1/8 is the same as 1÷8 Then using Long Division for divided by 8 gives us 0.125
Femi drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Femi's average speed exceed the speed limit?
Answer:
14mph
Step-by-step explanation:
First, lets find how many 16s can go into 60.
We can find this by doing 60 / 16 = 3.75
Then we need to find his average speed. We can find this by doing
18.4 * 3.75 = 69
To find how much he exceeded the speed limit, we will subtract 55 from 69
69 - 55 = 14
Therefore, Femi's average speed exceeded the speed limit by 14mph.