The correct first step is to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex] (Last option)
The correct first step in finding the height of a cylinder with a given volume and radius is to use the formula for the volume of a cylinder:[tex]\(V = \pi r^2 h\)[/tex], where V is the volume, r is the radius, and h is the height.
To solve for h, we must rearrange the equation to isolate h.
Therefore, the correct first step would be to divide both sides of the equation by [tex]\(\pi r^2\)[/tex] to solve for h:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
In the case given where the volume (V) is 178 cubic inches and the radius (r) is 8 inches, it would look like:
[tex]\[ h = \frac{178}{\pi \times 8^2} \][/tex]
After performing the calculations, this will give us the height (h) of the cylinder.
So the correct first step would be to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex]
Write an expression with at least 6 terms
that is equal to 7x + y - 4.
Answer:
3x+4x+y-2+1+2
Step-by-step explanation:
just break up each number into smaller parts make sure you have a variable on each part if the whole nnumber has a variable!
The expression 3x + 4x + y/2 + y/2 - 2 - 2 has six terms and is equal to the original expression 7x + y - 4.
Explanation:The original expression given in the question is 7x + y - 4. The task is to write an expression with at least 6 terms that is still equal to this original expression. We can do this by breaking down some of the terms in the original expression. Like this: 3x + 4x + y/2 + y/2 - 2 - 2. Here, the term 7x is broken down into 3x and 4x. The term y is broken down into y/2 and y/2. And the term -4 is broken down into -2 and -2. Even though we now have six terms instead of three, the expression still equals to the original expression 7x + y - 4.
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a number x, rounded to 1 decimal place is 3.7 .Write down the error interval for x
Answer:
b
Step-by-step explanation: i took the same test
What are the ratios for sin A and cos A? The diagram is not drawn to scale.
Answer:
0.952380952
Step-by-step explanation:
bc sin is ac/cb so thats what i think
How many types of joints are there in the human body?
А. 4
В. 2
с. 12
D. 6
Answer: It mainly three
Step-by-step explanation:
Simplify: 4(5x−3)−3(4x−7)
Answer:
20x-12 and -12x+21
Which is then 8x+ 9
Step-by-step explanation:
Answer:
the answer is 8x + 9
Step-by-step explanation:
Kalani has these monthly liabilities: rent $925, car payment $356, credit card
payment $125. She has a gross annual income of $96,448. What is her monthly
debt-to-income ratio? (Find her gross monthly income first.)
The net below can be folded to form a square pyramid atop a cube. The net consists of 5 congruent squares and 4 congruent triangles.
What is the surface area of the composite solid that can be formed by this net?
80 cm2
120 cm2
144 cm2
160 cm2
Answer:
144cm2
Step-by-step explanation:
Hope this helps
The surface area of a composite solid is 144 cm².
How much extra space does the net use?
The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.
What is a strong combination?
A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.
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You go to the snack bar to buy a bagel and a drink for lunch you choose from a plain bagel a blueberry bagel or a raisin bagel the choices for a drink include water or a sports drink how many different lunches could be made with these choices
Answer:
6
Step-by-step explanation:
So you're choosing a bagel and a drink.
There are three different types of bagels and two different types of drinks
You just simply multiply three by two, and that is the number of combinations :)
BRAINLIEST BRAINLIEST!! Easy math ASAP
Answer:
1. (-2,2) 2.(4,2)
Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps
Find the percent of each number
22% of 45
30% of 210
42% of 360
4.6% of 80
12% of 35
55% of 128
Answer:
1. 9.9
2. 63
3. 151.2
4. 3.68
5.4.2
6. 70.4
Step-by-step explanation:
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
tan35 = 9/x
Step-by-step explanation:
I'm typing this to get 20+ characters
Answer:
tan(35)=9/x
Step-by-step explanation:
tan is opposite over adjacent and the only angle given is the 35 so you would use tangent 35 to solve for x.
Simplify 2x + 8y + 3x + y
Answer:
[tex] = > 2x + 8y + 3x + y \\ \\ = > 5x + 9y[/tex]
Answer:
5x + 9y
Step-by-step explanation:
Combine like terms (terms with the same variables as well as the same amount of variables).
2x + 3x + 8y + y = (2x + 3x) +(8y + y)
Combine:
2x + 3x = 5x
8y + y = 9y
5x + 9y is your answer.
~
After how many seconds is your friend at a height of 4 feet
96 is 0.8% of what number
So the right answer is 12000.
Look at the attached picture ⤴
Hope it will help u...
This is timed pleaseeeeee hurry!!!!!! see picture
A parabola has one or more zero(s) if it intersects the
X-axis
Y-axis
Origin
Vertex
A pool in the shape of a rectangular prism holds 672 cubic feet of water. The pool is 4 feet deep and 8 feet wide. What is the length of the pool in yards?
the correct answer is:
The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).
To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:
- Depth (D) = 4 feet
- Width (W) = 8 feet
To find the length (L), we can use the formula for the volume of a rectangular prism:
[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]
Given that the volume of the pool is 672 cubic feet, we can plug in the known values:
[tex]\[ 672 = L \times 8 \times 4 \][/tex]
Solving for L:
[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]
So, the length of the pool is 21 feet.
Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:
[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]
So, the length of the pool in yards is 7 yards.
PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED
Answer:
True
Step-by-step explanation:
Answer:
I’m Pretty sure its true but if not sorry.
Step-by-step explanation:
If cosθ=1/3 , then sinθ = _____.
Answer:
[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
Step-by-step explanation:
We can use the following trigonometric property that relates the sine function and the cosine function:
[tex]sin^2\theta+cos^2\theta=1[/tex]
we solve for [tex]sin \theta[/tex]:
[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]
we are give the value of [tex]cos\theta[/tex]:
[tex]cos\theta =\frac{1}{3}[/tex]
so we substitute this value:
[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]
and we solve the expression:
[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
Find the GCF of 24m and 16mn.
Answer:
8
Step-by-step explanation:
1. You star by figuring out what are the factors 24.(1,2,3,4,6,8,12,24).
2. Then you find the factors of 16.(1,2,4,8,16)
3. Then you look at the numbers and figure out which on is the largest. Which is 8
What is the slope in the equation y=1/2x-6
Mr.Molier is figuring out the semester averages for his history students. He can figure the average for 20 students in a hour. How long does it take him to figure out for each student?
Answer:
3 minutes per student
Step-by-step explanation:
60/20=3
Answer:
3 minutes per student.
Step-by-step explanation:
To solve this, we can first convert hours to minutes:
1 hour--> 60 minutes.
Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:
60÷20= 3 minutes per student.
Which exponential functions have been simplified correctly? Check all that apply.
HELP ASAP
what is the value of x enter your answer in the box
Answer:
x=25
Step-by-step explanation:
24²+7²=625
√625= 25
Answer:
25
Step-by-step explanation:
1) So "x" is the measurement of the longest side in a right angle triangle. The longest side is called the hypotenuse
there is actually a formula to find the measurement of the hypotenuse called the pythagorean theorem
so
a^2+b^2=c^2
where a=measurement of one side
b=measurement of other
and c=hypotenuse
hence,
24^2+7^2=x^2
576+49=x^2
625=x^2
to find value of x by itself take square root on both sides:
25=x
Hope this helps!
The Pyramid of Khafre in Egypt stands 471 feet tall. The sides of its square base are 705 feet in length. Find the lateral surface area of the Pyramid of Khafre. (Hint: Use the Pythagorean Theorem to find the pyramid’s slant height)
Answer:
Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²
Step-by-step explanation:
The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.
To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.
c² = a² + b²(Pythagoras theorem)
base = b = 705/2 = 352.50 ft
c² = 352.50² + 471²
c² = 124256.25 + 221841
c² = 346097.25
square root both sides
c = √346097.25
c = 588.300305966
c ≈ 588.30 ft
slant height = 588.30 ft
Lateral surface area = sum of area of the 4 triangular faces
lateral surface area = 4 (1/2 × base × height)
Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²
Answer:
829503.6
Step-by-step explanation:
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answer:
8(7+4) (C.)
Step-by-step explanation:
First find the greatest number that can go into 56 and 32:
8!
Then we can see if C. works because it is the only one with an 8 out in front:
[tex]8*7=56[/tex]
and...
[tex]8*4=32[/tex]
So C. is the right answer!
A sorority has 33 members, 23 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (b) The first person selected is not a pledge. (c) The second person selected is a pledge if the first person selected was also a pledge. (d) The second person selected was a full member if the first person selected was a pledge. (e) The second person selected is a pledge if the first person selected was a full member. (f) The second person selected is a full member if the first person selected was also a full member. (g) The second person selected was a pledge.
The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.
Explanation:When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:
(a) The probability that the first person selected is a pledge is 10/33.(b) The probability that the first person selected is not a pledge is 23/33.(c) The probability that the second person selected is a pledge given that the first selected was also a pledge is 9/32 (since one pledge is already selected).(d) The probability that the second person selected is a full member given that the first person selected was a pledge is 23/32.(e) The probability that the second person selected is a pledge given that the first person selected was a full member is 10/32 or 5/16.(f) The probability that the second person selected is a full member given that the first person selected was also a full member is 22/32 or 11/16.(g) The probability that the second person selected is a pledge without any condition on the first selection needs additional information for a precise calculation.The graph of r = -3 + 5 cos theta is symmetric about the
Answer:
I graphed the equation on the graph below.
Step-by-step explanation:
If this answer is correct, please make me Brainliest!
Answer:
B
Step-by-step explanation:
x-axis only
The formula for the area of a triangle is
A
=
b
h
2
. Express
b
in terms of
A
and
h
.
b
=
2
A
h
b
=
h
2
A
b
=
A
h
2
b
=
A
2
h
To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.
Explanation:To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:
2A = bh
Next, divide both sides of the equation by h to isolate b:
b = (2A)/h
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The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures
By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.
Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.
Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:
AC² = x² + x² = 2x²
This equation relates the lengths of the sides of triangle ABC.
Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:
20² = AC² + x²
Since we already established that AC² is 2x² from the first triangle, we can substitute it in:
20² = 2x² + x²
This equation connects the two triangles. To find the value of x, we need to solve this equation:
20² = 3x²
Now, isolate x:
x² = (20²) / 3
x² = 400/3
x = √(400/3)
x ≈ 11.547 cm
So, x is approximately 11.547 cm.
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