Answer:
175 pi ^3
Step-by-step explanation:
The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Volume can be defined as a three-dimensional space enclosed by an object or thing.
As we know,
We can find the volume of the cylinder by using the given formula:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the base r = 5 units
The height of the cylinder h = 7 units
[tex]\rm V = \pi (5)^2 (7)[/tex]
V = 25x7π
V = 175π cubic units
Or
V = 175π units³
Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
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Find the surface area of a square pyramid with side length 2 mi and slant height 5 mi.
5 mi
2 mi
2 mi
Answer: 24 in2
Step-by-step explanation:
The square pyramid has a surface area of 24 square miles.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
The surface area of a square pyramid is given by the formula:
[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)[/tex]
where L is the length of the base, H is the height of the pyramid, and S is the surface area.
Given L = 2 mi and slant height = 5 mi, we need to find H.
Using the Pythagorean theorem, we can find H as follows:
[tex]H^2 = (slant\ height)^2 - (1/2 L)^2\\\\H^2 = 25 - 1\\\\\H^2 = 24\\\\H = \sqrt{24[/tex]
Now, we can plug in the values of L and H into the formula for surface area:
[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)} \\\\S = 2^2 + 2(2)\sqrt{((2/2)^2 + (\sqrt{24})^2)}\\\\S = 4 + 4\sqrt{(1 + 24)}\\\\S = 4 + 4\sqrt{25}\\\\S = 4 + 4(5)\\\\S = 24[/tex]
Therefore, the surface area of the square pyramid is 24 square miles.
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(WILL GIVE BRAINLIEST)The coordinate grid shows a polygon. The figure is dilated
according to the rule: (x, y) → ( 3/2 x, 3/2'y). What is the
location of E'?
ANSWER CHOICES:
(4/3,3/4)
(2,8/3)
(9/2,6)
(6,9/2)
Answer:
i think it’s C
Step-by-step explanation:
i just did 3 times 3/2 then 4 times 3/2 i could be wrong cs i’m in 7th but that’s my best guess
What is the value of y?
Answer:
y = 31
Step-by-step explanation:
Exterior angle thm:
y + y = y + 31
2y = y + 31
2y - y = 31
y = 31
I’ll give out brainlest to whoever answers this correctly!!
Answer:
7
Step-by-step explanation:
4x3.5=14
14x 1/2 = 7
Answer:
7 ft
Step-by-step explanation:
you multiply both sides so 4 x 3.5 = 14
and given it is a triangle you have to multiply by 1/2
so 14 x 0.5 = 7
that is your answer
PLEASE HELLPPP PLS I
Answer:
38°
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees.
Therefore, all the angles in the triangle given in the question add up to 180 degrees.
So, let's create an equation and solve for [tex]x[/tex]:
[tex]x+44 + 63 + 85 + x = 180[/tex]
Simplify:
[tex]2x + 192=180[/tex]
Solving for [tex]x[/tex] we get:
[tex]2x=-12\\x=-6[/tex]
Now, let's put the value of [tex]x[/tex] we got into the formula for angle A.
[tex]x+44=y[/tex]
[tex]-6+44=y=38[/tex]
I NEED HELP ASAP!!!!!!
Answer:
I think it's d or a
Step-by-step explanation:
ggood luck
Find the missing angle measures. This is 8th grade math btw
Answer:
w is 146
x is 90
y is 34
z is 56
Answer:
w = 146 degrees
x = 90 degrees
y = 34 degrees
z = 56 degrees
Step-by-step explanation:
Right angles will always add up to 90 degrees.
Straight lines will always add up to 180 degrees.
Since x is a right angle, x = 90 degrees.
Since z + 34 = 90 degrees (a right angle):
90 - 34 = z
90 - 34 = 56 degrees
Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:
90 + y + 56 = 180
y = 180 - 90 - 56
y = 34
Since w + 34 = 180 degrees (a straight line):
180 - 34 = w
180 - 34 = 146 degrees
Joan ran less than 18 miles last week. Which of the following inequalities represents the number of miles Joan ran last week?
Answer:
36 miles
Step-by-step explanation:
18 + 18 = 36
I didn't get a lot of information so my apologies if wrong.
Answer:
Joan<18
Step-by-step explanation:
These symbols indicate the following:
< less than
> greater than
= equal to
If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.
what is the volume of a cylinder in cubic cm with a height of 9cm and a base diameter of 16cm round to the nearest tenths place
Hi! Does anyone know the answer to this question? I’m bad at geometry and I’m struggling to get the answer. Please help!
Answer:
8
Step-by-step explanation:
A^2 + B^2 = C^2
36+?=100
100-36= 64
Square root of 64 is 8
The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.
Answer:
C=hypotenuse [h]=50 feet
A=[base]=40foot.
B=perpendicular [p]=?
Area =?
we have
By using Pythagoras law
p²+b²=h²
B²=40²=50²
B²=50²-40²
B=√900
B=30feet
we have
Area of triangle =½×A×B=½×30×40=600feet²
the roped off area is 600 square feet.
it is a right angled triangle.
Find Base
√50²-40²√30²30ftArea
1/2BH1/2(30)(40)30(20)600ft²Off course right angle
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)? x < –2.5 x > 2.5 (–2.5, [infinity]) (–[infinity], 2.5)
Answer:
x > -2.5 (-2.5, infinity)
Step-by-step explanation:
Given the inequality expression
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4
Expand
15.3 + 11.22x > -14.25 - 10.2x - 24
15.3 + 11.22x > -38.25 - 10.2x
Collect the like erms
11.22x + 10.2x > -38.25 - 15.3
21.42x > -53.55
x > -53.55/21.42
x > -2.5 (-2.5, infinity)
This gives the required solution
Answer:
(-2.5, infinity)
Step-by-step explanation:
correct on EDG
A student takes a multiple-choice test with 8 questions on it, each of which have 4 choices. The student randomly guesses an answer to each question.
What is the probability that the student gets exactly 4 questions correct?
Round to 3 decimal places.
0.087
0.208
0.886
0.973
Answer:
The correct answer is 0.087
Step-by-step explanation:
Got it right on Edge assignment
Innovative School System
Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison concluded that
blue was the favorite color of 720 students in her entire high school of 2000 students.
Choose all of the statements that accurately describe the sample and population from Madison's survey.
O A. The sample of 50 students comes from the population of 2000 students.
B. The sample value of 18 is an estimate of students from the survey whose favorite color is blue.
c. The sample value of 18 is the exact number of students from the survey whose favorite color is blue.
UD. The population value of 720 is an estimate of students in the entire school whose favorite color is blue.
E. The population value of 720 is the exact number of students in the entire school whose favorite color is blue.
Answer:
is not , something other than red, 45%, 55%
Step-by-step explanation:
Find the circumference.
Use 3.14 for it.
r = 5 cm
C = [?] cm
C= Ttd
Answer:
C=2(3.14)×(5)
C=31.4cm
The circumference of circle is 31.4 cm
What is circumference of circle?"It is the distance around the perimeter of a circle."
Formula for circumference of circle:"C = 2 × π × r,
where r is the radius of the circle."
For given question,
We have been given the radius of a circle.
r = 5 cm
We need to find the circumference of circle.
Using the formula for circumference of circle,
⇒ C = 2 × π × r
We need to use π = 3.14
⇒ C = 2 × 3.14 × 5
⇒ C = 2 × 5 × 3.14 ...............(since a × (b × c) = (a × b) × c)
⇒ C = 10 × 3.14
⇒ C = 31.4 cm
This means, the circumference of circle having radius r = 5 cm
is C = 31.4 cm
Therefore, the circumference of circle is 31.4 cm
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Find the area of the figure.
Answer:
28.5 units²
Step-by-step explanation:
Shape 1 - ( length * width ) 3*5 = 15
Shape 2 - ( length * width ) 3*3 = 9
Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5
A circle has a sector with area \dfrac{17}{2}\pi 2 17 πstart fraction, 17, divided by, 2, end fraction, pi and central angle of \purple{\dfrac{17}{9}\pi} 9 17 πstart color #9d38bd, start fraction, 17, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the circle?
Answer:
The area of the circle is equal to [tex]9\pi[/tex].
Step-by-step explanation:
Given that,
The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]
The central angle is [tex]\dfrac{17}{9}\pi[/tex]
We need to find the area of circle.
We know that,
[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]
So, the area of the circle is equal to [tex]9\pi[/tex].
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answer:
Step-by-step explanation:
what
Can someone help with work included!!
Answer:
Heather
Step-by-step explanation:
If you use pythagorean theorm you can set up the equations for each girl.
For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.
Cindy borrowed $950 to repair her car. She will pay the money back in 9 months at 9% simple interest. How much total money will Cindy repay?
Answer:
64.13
Step-by-step explanation:
7.13 would be the monthly interest, so mulitiplying that by 9 should give u a 64.13
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges for the first time they service your lawn, and the price will multiply by a factor of every week thereafter. Green Thumbs charges for the first time they service your lawn, and then charges an additional every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Answer:
The answer is "[tex]\$132.77[/tex]".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to 1 + (1.25)^{29} = 647.23\\\\\to 200 + (20 \times 29) = 780\\\\\to 780 - 646.23 = 132.77\\\\[/tex]
PLEASE HELP FAST!!!!!!!!!!
The formula for the circumference of a circle is: C = 2nr.
C is the circumference and r is the radius. Use 3. 14 as an estimate for t.
Which is the approximate circumference of a circle with a radius of 7 m?
A. 21.98 m
B. 28.26 m
C. 43.96 m
D. 153.86 m
Answer:
43.96
Step-by-step explanation:
You take the radius of 7 and multiply by 2 then multiply by 3.14
enter an equation in the form of y = MX + b that represents the function described by the graph
Answer:
y=2/3+3
Step-by-step explanation:
List all the factors of 42.
What is the greatest common factor of 42 and 15?
What is the greatest common factor of 42 and 50?
Answer:
42: 1,2,3,6,7,14,21,and 42
GCF of 42 & 15: 3
GCF of 42 & 50: 2
Step-by-step explanation:
have a day
Answer:
3 and 2
Step-by-step explanation:
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 15 are 1,3,5,15.
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 50 are 1,2,5,10,25,50
Find the total cost of these items, including tax. Round
to the nearest hundredth.
the
Water bottle:
Flashlight:
LE
EVE ELEVE
LE
EL
Answer:
Flashlight ; = $2.99
Water bottle = $1.50
Toothbrush = $1.29
Compass = $3.29
Step-by-step explanation:
Sales tax = 7%
Item: _____ price
Flashlight ; = $3.20
Water bottle = $1.61
Toothbrush = $1.38
Compass = $3.52
Total cost = price of item + sales tax
Sales tax = 7%
Total cost = (1 + 7%) * price of item
Total cost = (1 + 0.07) * price of item.
Total cost = 1.07* price
Flashlight = 1.07*1.29 = $3.20
Water bottle = 1.07*1.50 = $1.61
Toothbrush = 1.07*1.29 = $1.38
Compass = 1.07*3.29 = $3.52
can someone help me with this? no links pls!
Given:
The diagram.
To find:
(a) [tex]m\angle SQT[/tex]
(b) [tex]m\angle QRW[/tex]
(c) [tex]m\angle PRV[/tex]
Solution:
(a)
If two lines intersect each other at a point, then the vertically opposite angles are equal.
[tex]m\angle SQT = m\angle PQR[/tex] (Vertically opposite angles)
[tex]m\angle SQT = 36^\circ[/tex]
Therefore, the measure of angle SQT is 36 degrees.
(b)
If a transversal line intersect two parallel lines, then the alternate interior angles are equal.
[tex]m\angle QRW = m\angle PQR[/tex] (Alternate interior angles)
[tex]m\angle QRW = 36^\circ[/tex]
Therefore, the measure of angle QRW is 36 degrees.
(c)
It is given that the angles PRV and angle PRQ are congruent.
Let the measures of angle PRV and angle PRQ are x degrees.
[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex] (Adjacent interior angles are supplementary)
[tex]x+x+36^\circ=180^\circ[/tex]
[tex]2x=180^\circ -36^\circ[/tex]
[tex]2x=144^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{144^\circ}{2}[/tex]
[tex]x=72^\circ[/tex]
Therefore, the measure of angle PRV is 72 degrees.
Jane borrowed $800 from a bank for 4 years and was charged simple interest. The total interest that she paid on the loan was $160. As a percentage, what was the annual interest rate of her loan?
NEED HELP ASAP. 30 points will give brainlyest
Answer:
This question has incorrect answers but the answer that they are looking for is: 24 hours
Step-by-step explanation:
The average is the total hours divided by the number of weeks
So far Emily has 6 hours for the first 3 weeks, x is the number of hours she needs to work in the 4th week.
(6+x)/4=10
6+x = 40
x = 34
All the answers they gave are wrong because they did not account for the 4th week while taking averages.