Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .
Answer:
Step-by-step explanation:
Skewed left
50-60 and 60-70
8
A distance of 8.5 kilometers is equivalent to 850 meters.
True
False
Answer:
true
Step-by-step explanation:
How do the perimeters of the triangles compare? Original: height-18, slant-30, length-24 Scaled: height-6, slant-10, length-8 A) the scaled triangles perimeter is 3x's larger than the original triangles perimeter. B) the scaled triangles perimeter is 6x's smaller than the original triangles perimeter C) the scaled triangles perimeter is 1/9 the size of the original triangles perimeter D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter
Answer:
D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter
Step-by-step explanation:
Given
Original:
[tex]Height = 18, Slant = 30, Length =24[/tex]
Scaled:
[tex]Height =6, Slant=10, Length=8[/tex]
Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:
[tex]Scaled = \frac{1}{3} * Original[/tex]
Hence, the perimeter is:
[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]
I don’t understand help
You can see that the MNO triangle is similar to MKL then [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex] [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]
Drag the numbers to label the points plotted on the number line.
Answer:
First Box: -10/5
Second Box = -1.25
Third Box = -0.5
Fourth Box = 0.75
Fifth Box = 3/2
Step-by-step explanation:
NOTE: I AM SAYING THIS FROM LEFT TO RIGHT
Answer:
The first box should be -[tex]\frac{10}{5}[/tex] ;
The 2nd box should be -1.25 ;
The 3d box should be -0.5 ;
The 4th box should be 0.75 ;
The 5th box should be 3/2 which is the last box left.
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
What is the equation of the line that passes through the point (4, -2) and has a slope of -2???
Answer:
.
Step-by-step explanation:
Answer:
y=mx+c
Step-by-step explanation:
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4
Answer:
Slope of the line, m = 4/3
Step-by-step explanation:
Given;
4x - 1 = 3y + 5
Make y the subject
4x - 1 = 3y + 5
4x - 3y = 5 + 1
4x - 3y = 6
-3y = 6 - 4x
Divide both sides by -3
y = (6 - 4x) / -3
y = -2 + 4/3x
Slope intercept form is given by
y = mx + b
Where,
m = slope
y = - 2 + 4/3x
m = 4/3
Slope of the line, m = 4/3
Answer:
Above answer is INCORRECT.
The CORRECT answer is 2/3
Step-by-step explanation:
Why does that formula make sense?
Answer:
Step-by-step explanation:
Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH + ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......
you end up with : AH - AH/2 + AB/2 ...
AH - AH/2 = AH/2
BH/2 = BH/2
final answer : AH/2 + BH/2
factor out the 1/2 and H ..... 1/2 H (A+B)
Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?
Answer:
3(b+2)balls
Step-by-step explanation:
Given data
number of bags of golf balls= 3
number of balls in each bag=b
total number of balls in all three bags= 3b
His friend gave him 6 more= 3b+6
Hence the total balls is = 3b+6
= 3(b+2)balls
4+(-7)-(-3) What will be the answer ?
What is the total weight of all the fruit she bought?
Image included
Answer:
1/3 kilograms
Step-by-step explanation:
A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC = 10
Step-by-step explanation:
This is a right triangle
use the pythagorean theorem
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
Take the square root of both sides
10 = c
AC = 10
The correct answer is 10 not 12
Which pairs of angles in the figure below are vertical angles?
Check all that apply
Answer:
[see below]
Step-by-step explanation:
Vertical angles are simply opposite angles that are made from intersecting lines.
The most appropriate pairs would be vertical pairs:
∠NSI and ∠TSW
∠NST and ∠ISW
The angles are opposite of each other and formed from the two lines.
Hope this helps.
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
What properties of a figure stay the same after a reflection? *
Answer:
1. The preimage and image are congruent
2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection
3. Corresponding angles on the preimage and image are congruent
4. Corresponding points of the preimage and image are equidistant from the line of reflection.
Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)
Answer:
120 ways
Step-by-step explanation:
Here, we are looking at arranging around a table
To do this, we sit down one of the children and arrange the remaining around the one that we have sat down
In scenario like this, the number of possible arrangement ways will be;
(n-1)! ways
where n is the number of children which is 6 in this case
So the possible number of ways will be;
(6-1)! = 5! = 120 ways
36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?
Step-by-step explanation:
the length of AB = √(9+3)²+(5-9)²
= √144+16=√180 = 6√5
the length from A to E = ⅜× 6√5
= 2.25 √5 or 5.03
Length of AB,
→ √(9+3)² + (5-9)²
→ √144+16
→ √180
→ 6√5
Length from A to E,
→ ⅜ × 6√5
→ 2.25 √5
→ 5.03
Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 − 7x < 6 Solve the inequality that represents the story. If the variable is on the left, what is the sign?
Answer:
+ or > depending on what you mean exactly
Step-by-step explanation:
-7x<6-9
-7x<-3
x>3 (remember to flip the sigh)
the sign is the > symbol , or positive, not sure what you mean really
Someone help me. PLEASE!
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
Patty measured the elementary school and made a scale drawing. The scale she used was 7 centimeters = 1 meter
What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Write the scale of the drawing as a fraction. Put the shorter length in the numerator.
[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]
First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.
[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]
Write the scale factor as a ratio, using a colon
7/100 → 7:100
The scale factor is 7:100.
[tex] \\ [/tex]
#CarryOnLearning!
Evaluate the expression c5 when c = 3.
Replace c with 3:
3^5 = 3 x 3 x 3 x 3 x 3 = 243
The answer is 243
Answer:
15
Step-by-step explanation:
c5
3(5)
3 x 5
15
Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?
Answer:
please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question
Answer:
13 minutes lifting weights.
Step-by-step explanation:
Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.
a) Divide rs 21000 between Nisha and nishan so that Nisha gets double than nishan.
Answer:
Hello There!!
Step-by-step explanation:
Let the nisha be x and nishan be y. Your statement is x=2y.
x+y=21000
2y+y=21000
3y=21000
y=21000/3
y=7000
The amount of money nishan got=7000
The amount of money nisha got=2y=7000 ×2=14000
hope this help,have a great day!!
~Pinky~
AABC has points located at A(1, 3) B(-2, 2) C(4, 0). AABC is rotated 180° CCW about the origin then translated (x + 0, y-5). Identify the location of A A”B”C"
Answer:
i think the new points are
A(1,-2)
B(-2,-3)
C(4,5)
Step-by-step explanation:
i plugged it in
The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's
Answer:
end behavior
Step-by-step explanation:
What is the area of the square,in square units?
3/4 unit
Answer:
9/16
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = (3/4)^2
A = 9/16
Please help me with this geometry question
Answer:
2) 40
Step-by-step explanation:
the perimeter of Rhombus =
4 × (√(12/2)²+(16/2)² )
= 4× (√6²+8²)
= 4× (√100)
= 4×10
= 40
Q) 4 × (√(12/2)²+(16/2)² )
→ 4 × (√6²+8²)
→ 4 × (√100)
→ 4 × 10
→ 40 is the perimeter of rhombus.
