The number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³
Calculating the volume of a coneFrom the question, we are to determine the volume of the cone
The volume of a cone can be calculated by using the formula,
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
Where V is the volume
r is the radius
and h is the height
From the given information,
radius, r = 2.5 cm
slant height, l = 6.5 cm
First, we will determine the height of the cone
By Pythagoras' theorem
[tex]l^{2} = r^{2} + h^{2}[/tex]
Where [tex]l[/tex] is the slant height
r is the radius
and h is the height of the cone
Then, we can write that
[tex]6.5^{2} = 2.5^{2} + h^{2}[/tex]
[tex]42.25 = 6.25 + h^{2}[/tex]
[tex]h^{2}=42.25 - 6.25[/tex]
[tex]h^{2} =36[/tex]
[tex]h = \sqrt{36}[/tex]
∴ h = 6 cm
Now, putting the parameters into the equation for the determining the volume of a cone, we get
[tex]V = \frac{1}{3}\times \pi \times 2.5^{2} \times 6[/tex]
[tex]V = \pi \times 6.25\times 2[/tex]
[tex]V = 12.5 \pi[/tex] cm³ OR 39.27 cm³
Hence, the number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³
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Marcus deposited his paycheck in the amount of $625.84. he’ll use the check register to record his transaction. what will be his new balance?
Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.
What is the paycheck about?A pay check is known to be a cheque that is given to a person for a job done.
Note that Marcus Beginning balance: $640.31
He then Deposit of : $625.84
When you add both together,
His New Balance will be: $1,266.15
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Answer:
$1,266.15.
Step-by-step explanation:
edge
The height of a burning candle can be modeled by a linear function.
Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial
Answer:
below
Step-by-step explanation:
• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.
• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.
24 / 4 = 6
As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.
• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.
290 / 5 = 58
Candle B will burn out after 58 hours. This statement is true.
• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.
10 x 6 = 60
201 - 60 = 141
After 10 hours the height of Candle a will be 141 millimeters. This statement is true.
• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that
Candle A will burn out before Candle B. This statement is true.
HEPELPELEPLEPLEPLEPLEPLEPLE PELASE ITS MY LAST QUESTION
Answer:
D
Step-by-step explanation:
It is letter d because it is all true facts.
Shirley has a collection of 50 stamps and adds 4 stamps daily to her collection. model this situation as a function of number of days (d).
Jermaine is throwing a surprise party for his mom. He has a photograph of her he wants to enlarge it to life size! The print shop charges by the square inch of poster paper. His mom 3 inches tall in the photo, but is actually 66 inches tall. If the area of the photo is 15 square inches, which of the following proportions could be used to determine how much paper jermaine will pay for where x is the area of the poster?
The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.
What is the area?The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.
Given data;
Height of mom in the photo = 3 inches
Real size of photo=66 inches
Area of the photo = 15 square inches
Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:
Area = width × length
[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]
Hence,the area of the poster will be 0.68 m².
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What is the scale factor for the dilation below?
See picture for full problem. Please and thank you so very much!!!!
Answer:
The answer is 5
Step-by-step explanation:
Divide the original x-axis value by the x-axis value after dilation. So, point G' has an x-axis value of 2, and point G has an x-axis value of 10. If you divide 10/2, you get 5.
8.2, 5.1, 9.4, 9.2, 2.2, 4.9, 4.8, 3.3, 3.9state the median
Answer: Median=4.9
Step-by-step explanation:
x+4>3
Help, solve for x, give the interval notation...
Solution:
[tex]x > - 1[/tex]
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
Interval Notation:
x ∈ (-1,∞)
An agricultural researcher wishes to see if kelp extract helps prevent frost damage on tomato plants. 100 tomato plants in individual containers are randomly assigned to 2 different groups. plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with kelp extract, while the plants in group 2 are not. after the first frost in the autumn, 12 of the 50 plants in group 1 exhibited damage. 18 of the 50 plants in group 2 showed damage. test the claim to see if there is evidence of a decrease in the proportion of tomatoes suffering frost damage for tomatoes sprayed with kelp extract.
a) state the hypotheses.
b) identify the p-value to the nearest thousandth.
c) state the conclusion in the context of the problem.
The p-value to the nearest thousandth. p value > 0.05
What is null and alternative hypothesis ?A null hypothesis is a statement, in which there is no relationship between two variables. An alternative hypothesis is statement in which there is some statistical significance between two measured phenomenon.
Group 1 n₁ = 50 , x₁ = 12
Group 2 n₂ = 50 , x₂ = 18
p₁ = x₁/n₁ = 12/50 = 0.24
p₂= x₂/n₂ = 18/50 = 0.36
Testing the null and alternative hypothesis
H₀ = p₁ - p₂= 0
Hₓ = p₁ - p₂ < 0
Level of Significance α =0.05
Test Statistic
[tex]\rm z = \dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_2} +\dfrac{p_2(1-p_2)}{n_2}}}[/tex]
On substituting the values
z = -0.12/0.9086
z = -1.32
p value = p(z > -1.32)
p value = 0.0934
Therefore p value > 0.05
Hence we fail to reject H₀ at 5 % level of significance .
There is no significant evidence that the decrease in proportion of tomatoes suffering frost damage for tomatoes sprayed with the kelp extract.
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8.2.PS-10
8.8 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 198 cm³.
The height of the water bottle is 8.8 cm. What is
the radius of the water bottle? Use 3.14 for .
The radius of the water bottle is about
cr
cm. (Round to the nearest tenth as needed.)
Questio
Answer:
Step-by-step explanation:
Givens
Volume = 198 cm^3h = 8.8 cmpi = 3.14r = ?Formula
V = pi * r^2 * h Substitute givens into formula
Solution
198 cm^3 = 3.14 * 8.8 * r^2 Combine the right
198 = 27.632 * r^2 Divide both sides by 27.632
198 / 27.632 = 27.632 * r^2 / 27.632
7.1656 = r^2 Switch the equation
r^2 = 7.1656 Take the square root of both sides
√r^2 = √7.1656
r = 2.6768
Answer
r = 2.7 rounded to the nearest tenth
Please help ASAP!!
see attachment below!
Can anyone explain how to work this equations pls?
Answer:
[tex]\frac{3}{y^{2} }[/tex]
Step-by-step explanation:
This question is asking you to simplify using the law of indices:
Just to write out the question in fraction form:
[tex]\frac{12y^{7} }{4y^{9} }[/tex]
Cancel out the 4:
[tex]\frac{3y^{7} }{y^{9} }[/tex]
Cancel out y^7:
[tex]\frac{3}{y^{2} }[/tex]
Hope this helped and brainliest please
Answer:
3/y^2
Step-by-step explanation:
1. Rewrite the division as a fraction.
= 12y^7/4y^9
2. Cancel the common factor of 12 and 4
= 4(3y^7)/4y^9
= 3y^7/y^9
3. Cancel the common factor of y^7 and y^9
= y^7 ⋅ 3/y^9
= 3/y^2
Match the transformation with the description.
Answer:
Translation = Slide
Reflection = Flip
Rotation = Turn
Step-by-step explanation:
What is the value of S? Please hurry-
Answer: 8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
which expression is equivalent to the given expression?
2x^2-14x+24
A.) 2(x-5)(x-2)
B.) 2(x-3)(x+3)
C.) 2(x-3)(x-4)
D.) (2x-12)(x-2)
Answer:
C.) 2(x-3)(x-4)
Step-by-step explanation:
I think so
25. Write interval notation for the set
In interval notation, square brackets indicate that a function can take on that value (or uses a less/greater than or equal to sign). Parenthesis indicate that a function cannot take on that value (or uses a less/greater than sign).
In the case of the given set, both inequality signs are less/greater than or equal to. This indicates to us that we will use brackets in both instances because the set can be equal to -2 and 2.
Answer: [-2,2]
Answer Choice: D
Hope this helps!
What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!
Answer:
Step-by-step explanation:
Easy, add up all the numbers. 3.8+4.7+5.6 which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2
Answer:
14.1 cm
Step-by-step explanation:
Perimeter : sum of the sides
3.8 + 4.7 + 5.68.5 + 5.6 14.1 cmWhats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3
Find the vertex. f(x) = 9x²+1
Find the area of the parallelogram.
Answer: 25 in.
Step-by-step explanation:
A = bh
A = 5 x 5
A = 25
-3/5, 6/5, -12/5 whats the next term of the geometric sequence?
Answer:
24
Step-by-step explanation:
The numerators are being multiplied by -2
Lamar is cutting a piece of 15 foot rope into 1 and 1/3 foot long
sections. How many sections of rope will he end up with?
A: 11
B: 11 and 1/4
C: 8 and 1/3
D: 4 and 1/4
Answer:
B:11 and 1/4
Step-by-step explanation:
to divide 15 by 1 1/3 i used the Keep, Change, Flip method aka-KCF
i kept 15 over 1 changed the division sign into a multiplication sign and flipped 1 1/3 which is 4/3 to its reciprocal 3/4.
which got me the answer 45/4 i simplified it into 11 and 1/4
help me for 10 points
edge= 5 in
to find:the surface area of the given cube.
solution:[tex]s.a = 6 {a}^{2} [/tex]
[tex]s.a = 6 \times {5}^{2} [/tex]
[tex]s.a = 150 \: {in}^{2} [/tex]
hence, the surface area of the given cube is 150 square inches.
What is 1/2 + blank = 7/8?
SOMEONE HELP ME PLEASEEE
Answer:
2
Step-by-step explanation:
First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).
Hope this helps!
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)
The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³
How to determine the volume of the empty space?The cube box has a side length of 9.
So, the volume of the box is:
V = 9³
The sphere has a radius of 4.5.
So, the volume of the sphere is:
v = 4/3π(4.5)³
Calculate the difference between both volumes:
d = 9³ - 4/3π(4.5)³
Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³
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Answer: that is answer d
Step-by-step explanation:
2023 edge
Can someone help me out, please?
How do you do division/long division? I was never taught how, and now I am struggling with it. Please answer thoroughly, thanks <3
Answer:
See attached picture for example, hope it helps!
Step-by-step explanation:
Answer:Watch How to do long division (step by step) | 1 digit divisors
Step-by-step explanation:
How to do Long Division (Step by Step) | 1-Digit
a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph
Answer:
I believe the answer is 8th graders.
Step-by-step explanation: