Answer:
No, ice cream cannot fits inside the cone.
Step-by-step explanation:
radius of cone, r = 3 cm
height of cone, h = 10 cm
radius of ice cream sphere, R = 33.5 cm
The volume of the cone is
[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]
Volume of ice cream
[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]
As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.
b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?
Answer:
Rs. 300
Step-by-step explanation:
The bicycle marked price = Rs. 2000
The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921
The VAT applied = 13%
The amount given as the discount = Required
The VAT is applied to the selling price
Let d represent the discount amount, we have;
The selling price = 2000 - d
The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13
The amount the customer bought it including VAT = The selling price + The amount paid as VAT
The amount the customer bought it including VAT = Rs. 1921
∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d
1.13·d = 2,260 - 1,921 = 339
d = 339/1.13 = 300
The amount given as discount, d = Rs. 300
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.
dot plot titled Number of Golfers for Week 1 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89
dot plot titled Number of Golfers for Week 2 with number line labeled Age of Golfer, 2 dots at 62, 3 dots at 64, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, 2 dots at 85, 3 dots at 86, and 2 dots at 89
The range for Week 1 equals the range for Week 2.
The range for Week 1 is greater than the range for Week 2.
The median for Week 1 is less than the median for Week 2.
The mean for Week 1 is greater than the mean for Week 2.
Answer:
The median for Week 1 is less than the median for Week 2.
What are the domain, range, and asymptote of h(x)=2x+4
Step-by-step explanation:
Domain = x € the real Numbers
Range = y € the real Numbers
No asymptotes
structions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identify all the correct names
Answer:
1) I, 4, HIJ
2) G, 1, HGF
3) J, 2, IJK
Step-by-step explanation:
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
1, -3.5
Step-by-step explanation:
Answer:(0.5,-3.5)
Step-by-step explanation:
(-2+3/2)/2, (-5-2)/2
0.5,-3.5
Fill in the blank.
7.95x10^7 = [ ? ]x 10^6
Answer:
79.5
Step-by-step explanation:
10^7 = 10^6 * 10
then 10*7.95 = 79.5
What is the first step in solving the quadratic equation -5x2+8=133
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
Can somebody help I’ll give brainless
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
Which of the following are mathematical sentences? Check all that apply.
O A. 12
B. 2<4
O C. 10g
D. 8- d = 16
E. 6 + 4 = 10
F. 8-V
Answer:
A,D
Step-by-step explanation:
Answer:
Answers: A and E ✡
- - Why?
Well a mathematical sentence needs to have something to equal to.
In this case for a we have
=10 and for d =16.
Step-by-step explanation:
ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth
The image to the question is attached below.
Answer: The value of EN is 11.2 cm
Step-by-step explanation:
We are given:
The parallelograms ABCD and EFGH are congruent, which simply means
AB = EF
BC = FG
CD = GH and
AD = EH
Area of ABCD = area of EFGH
Also, opposite sides of a parallelogram are equal. Thus,
AB = EF = CD = GH
BC = FG = AD = EH
It is given:
[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]
To calculate the area of a parallelogram, we use the equation:
[tex]Area=b\times h[/tex]
where, for parallelogram EFGH
b = base = FG = 10 cm
h = height = EN = ?
Area = [tex]112cm^2[/tex]
Plugging values in above equation, we get:
[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]
Hence, the value of EN is 11.2 cm
Please help I’ll give brainliest
Answer:
$48
Step-by-step explanation:
$160 * 0.05 = $8
$8 * 6 = $48
Hope this helps
Answer:
48
Step-by-step explanation:
Please Mark me brainlist
What is the range of the relation? {(2, 1), (-4, 5), (1, 7), (3, -3), (-1, 2)}
Answer:
(1,5,7,-3,2)etc are the range of the relation.
х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6
Answer:
winno o 6
Step-by-step explanation:
The first and second steps to solve the equation 3x/5+5=20 are shown below
Answer:
The solution of the equation is:
x = 25.Step-by-step explanation:
To solve the equation:
[tex]\frac{3x}{5}+5=20[/tex]First, you must add the terms 3x/5 and 5:
[tex]\frac{3x+25}{5}=20[/tex]Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:
3x + 25 = 20 * 53x + 25 = 100Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:
3x = 100 - 253x = 75At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:
[tex]x=\frac{75}{3}[/tex]x = 25If we use this value in the original equation, we can prove if it's the correct:
[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20As you can see, the result x = 25 is the correct.
Which verbal expression shows 4 ÷ n?
Your answer:
n divided by 4
the quotient of 4 and n
the product of 4 and n
4 decreased by n
Answer:
'the quotient of 4 and n ' is the correct answer
What would happen if you subtracted the equation for z from the equation for 10z?
Answer:9z
Step-by-step explanation:10z-1z=9z
Answer:
the answer would be 3
Step-by-step explanation:
9z = 3
Please help me ASAP
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2
Step-by-step explanation:
1.5 is the answer I just tried it and got it correct
Answer:
1.5 I just got the correct answer on edge
Put these numbers in order from greatest to least.
0.07,3/5, and 5/8
Answer:
From greatest to least: 5/8, 3/5, 0.07
Step-by-step explanation:
5/8 = 0.625
3/5 = 0.6
0.07 = 0.07
The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?
Answer:
ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of this world is normally distributed what is the probability that a randomly selected bulb would last fewer than 940 hours?
Answer:
11.5%
Step-by-step explanation:
To solve this problem, we can use the knowledge that there are z score tables that calculate probabilities based on z scores. Thus, we must calculate the z score.
The z score formula is [tex]\frac{x- m}{s}[/tex] , where x is the value, m is the mean, and s is the standard deviation. We can then plug our values in to get [tex]\frac{940-1000}{50} = \frac{-60}{50} = -1.2[/tex] as our z score. Plugging this into a table where table values represent the area to the left of the z score (as we want to calculate everything under 940), we get 0.115, or 11.5% as our answer
Find the missing segment
Answer:
45
Mark me as brainlist
ok
Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!
Answer:
What's the question? Please post the full question
Answer:This angle is a 35 degree angle
Step-by-step explanation:
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Answer:
F= 40
Step-by-step explanation:
F=ka
25 = k 5
k = 5
F=5a
F=5*8
F= 40
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
B. b + 15
O Ο Ο Ο
C. b- 15
D. b. 15
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
How do I solve for x?
Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
What is the distance between these two points?
units
Step-by-step explanation:
the distance between these two points is 11 units
Hence, determine the length of AB. (Correct to TWO decimal places).
Answer:
sorry also maybe a diagram would have helped