An oblique cylinder with its dimensions is shown below. What is the volume of this cylinder to the
nearest cubic centimeter? Use 3.14 for 7.
5 cm
1,021 cm
377 cm3
12 cm
534 cm
942 cm
-
х
+
11

Answer:

y= -2x +13

Step-by-step explanation:

Answer:

9.5 +n=x

Step-by-step explanation:

Definition of algebra

Answer:

m∠ABG = 20 degrees

m∠BCA = 22 degrees

m∠BAC = 118 degrees

m∠BAG = 59 degrees

DG = 4

BE = 12.4

BG = 11.7

GC = 20.4

Step-by-step explanation:

The given parameters are;

m∠CBG = 20°, m∠BCG = 11°

The incenter of a triangle is the point where the three bisectors of ΔABC meets

m∠ABG = m∠CBG = 20° by definition of angle bisector

m∠ABG = 20°

m∠ACG = m∠BCG = 11° by definition of angle bisector

m∠BCA = m∠ACG + m∠BCG = 11° + 11° = 22°

m∠ABC = m∠ABG + m∠CBG = 20° + 20° = 40°

m∠BAC = 180° - (m∠BCA+m∠ABC) = 180° - (40° + 22°) = 118°

m∠BAG = m∠CAG by definition of angle bisector

m∠BAC = 118° = m∠BAG + m∠CAG = m∠BAG + m∠BAG = 2 × m∠BAG

2 × mBAG = 118°

m∠BAG = 118°/2 = 59°

m∠BAG = 59°

Given that "G" is the incenter of the triangle ABC, we have;

GF = GE = DG = The radius of the incircle of the triangle = 4

Therefore, by Pythagoras' theorem, we have;

BG = √(11² + 4²) = √137 ≈ 11.7

BE = √((BG)² + 4²) = √(137 + 4²) = √153 ≈ 12.4

GC = √(20² + 4²) = √416= 4·√26 ≈ 20.4

Applying the definition of the incenter of a triangle, the measures in triangle ABC where G is the incenter are:

Recall the following facts about the incenter of a triangle:

The incenter of a triangle is the point where the three angle bisectors that divides each angle vertex into two intersect each other.

The incenter also, is a point equidistant to all three sides of the triangle at right angle.

Applying the properties above, the measures in the image can be calculated as shown below.

[tex]m \angle EBG = 20^{\circ}\\\\m \angle ECG = 11^{\circ}\\\\CF = 20\\\\EG = 4\\\\BD = 11[/tex]

Find [tex]m \angle ABG[/tex]:

[tex]m \angle ABG = m \angle EBG[/tex] (angle bisector definition)

[tex]\mathbf{m \angle ABG = 20^{\circ}}[/tex]

Find [tex]m \angle BCA[/tex]:

[tex]m \angle BCA = 2(m \angle ECG)[/tex] (angle bisector definition)

[tex]m \angle BCA = 2(11)\\\\\mathbf{m \angle BCA = 22^{\circ}}[/tex]

Find [tex]m \angle BAC[/tex]:

[tex]m \angle BAC = 180 - (m \angle CBA + m \angle BCA)[/tex] (sum of triangle definition)

[tex]m \angle BAC = 180 - (40 + 22)\\\\\mathbf{m \angle BAC = 118^{\circ}}[/tex]

Find [tex]m \angle BAG[/tex]:

[tex]m \angle BAG = \frac{1}{2} (m \angle BAC)[/tex] (angle bisector definition)

[tex]m \angle BAG = \frac{1}{2} (118)\\\\\mathbf{m \angle BAG = 59^{\circ}}[/tex]

Find DG:

[tex]DG = EG[/tex] (Perpendicular bisectors of the sides of a the triangle are equal in length from the incenter of a triangle)

[tex]\mathbf{DG = 4}[/tex]

Find BG:

[tex]BG = \sqrt{BD^2 + DG^2}[/tex] (Pythagorean Theorem)

[tex]BG = \sqrt{11^2 + 4^2} \\\\BG = \sqrt{137} \\\\\mathbf{BG = 11.7}[/tex]

Find BE:

[tex]BE = \sqrt{BG^2 - EG^2}[/tex] (Pythagorean Theorem)

[tex]BE = \sqrt{11.7^2 - 4^2} \\\\BE = \sqrt{120.89} \\\\\mathbf{BE = 10.99}[/tex]

Find GC:

[tex]GC = \sqrt{CF^2 + FG^2}[/tex] (Pythagorean Theorem)

[tex]GC = \sqrt{20^2 + 4^2} \\\\GC = \sqrt{416} \\\\\mathbf{GC = 20.4}[/tex]

In summary, applying the definition of the incenter of a triangle, the measures in triangle ABC where G is the incenter are:

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Answer:

A

Step-by-step explanation:

nsjsnsnsjsbsbjsbshshsbsjusbbbsjsj

Answer:

Step-by-step explanation:

we know that the interior angles are supplementary,

(2x-10)+(4x+16)=180

2x-10+4x+16=180

6x=180+6

6x=186

x=31

Answer:

Step-by-step explanation:

16 divided by $3.50 = 4.5

Answer:

0.286 pounds

Step-by-step explanation:

one pound=$3.50

x pounds=$1.00

then

1/3.5=0.286 pounds

check:

0.285 pounds per dollar x $3.50=1 pound

Answer:

24/30-5/30=19/30

this is the answer

Answer:

It's 24/30 and 5/30 and it's 19/30

Step-by-step explanation:

Answer:

I think it is 10 km/hr

Step-by-step explanation:

5 hrs = 40 more with 2 km/hr current

2 hrs= less 40 no current

40-2x5=30

30 without current for three hours

30/3=10 km/hr no current

CHECK

10x2=20

10x5=50+2x5=60

The speed of the motorboat in still water is 10 km/hr

A motorboat travels downstream on a river for 5 hours.      

The speed of the current = 2 km/h

The river flows into a still lake and the motorboat continues for two more hours.

The distance covered by the boat on the river was 40 km more than the distance that was covered on the lake.

We have to determine the speed of the motorboat in still water

Let the speed of motorboat in still water = m km/h

Given that

The speed of river current = 2 km/hr

The river runs into a still lake

The motorboat continues to travel for 2  more hours

The distance traveled by the motorboat in two more hours in the lake  = 2m km

The distance covered by the boat in the river = (40 +2m)   km

Net speed of the boat in the river = (m +2 ) km/hr

Let t  be the time spent by motorboat into the river.

[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]

[tex]\rm t = \dfrac{40+2m }{m +2}..........(1)[/tex]

Given that the motorboat travels downstream of the river for 5 hrs

so on putting t = 5 in equation (1).

[tex]\rm 5 = \dfrac{40 +2m }{m+2}\\\\5m +10 = 40 +2m\\5m -2m = 40-10\\3m = 30\\m = 10 km/h[/tex]

So the speed of the motorboat in still water is 10 km/hr

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Answer:

Answer: 112°

Step-by-step explanation:

Angles in a Circle

An inscribed angle is formed between two chords whose vertices lie on the circumference of a circle. The figure shows three chords: TU, SU, and ST. SU happens to also be a diameter because it goes through the center of the circle V.

ST and SU form an inscribed angle of 34°. The corresponding central angle is TVU and its measure is

[tex]m\angle TVU=2*34^\circ=68^\circ[/tex]

The required measure of the arc ST is the measure of the angle SVT. Note that SVT and TVU are complementary, thus:

[tex]m\angle TVU+m\angle SVT=180^\circ[/tex]

Solving for the measure of SVT:

[tex]m\angle SVT=180^\circ-m\angle TVU[/tex]

[tex]m\angle SVT=180^\circ-68^\circ=112^\circ[/tex]

Answer: 112°

Answer:

A. 56 degrees

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

Answer:

3/7 < 1/2

Step-by-step explanation:

1/2 of 7 would be 3.5, and simply because 3 is less than 3.5, 1/2 is greater

Answer:

21y^2+11.2

Step-by-step explanation:

4-3y(-7y)+7.2

combine like terms

-3y (-7y) = 21y^2

add 4 to 7.2

11.2

21y^2 + 11.2

Answer: 3

Step-by-step explanation:

From the question, we are informed that Johnny has 30 marbles while Mark has m marbles.

Since Johnny has 10 times as many marbles as Mark, it means that Johnny has: = 10 × m = 10m

Therefore, 10m = 30

m = 30/10

m = 3

Mark has 3 marbles

Given:

m || QR

To find:

The measure of ∠QPR.

Solution:

Since m || QR and a transversal line intersect them, therefore the alternate interior angles are equal.

Let points S and T lie on the line m. S is on the right and T is on the left side of point P.

[tex]m\angle RPS=m\angle PRQ[/tex]

[tex]m\angle RPS=45^\circ[/tex]

Now, angles TPQ, QPR and RPS lie on the one side of a straight line. It means, their sum is 180 degrees.

[tex]m\angle TPQ+m\angle QPR+m\angle RPS=180^\circ[/tex]

[tex]50^\circ+m\angle QPR+45^\circ=180^\circ[/tex]

[tex]m\angle QPR+95^\circ=180^\circ[/tex]

[tex]m\angle QPR=180^\circ-95^\circ[/tex]

[tex]m\angle QPR=85^\circ[/tex]

Therefore, the measure of angle QPR is 85 degrees.

Answer:

9q^3+293

Step-by-step explanation:

The total amount of income Xander earns from selling y books algebraically is C = 25000 + xy + 0.08y.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenarios.

In this situation, Xander writes math textbooks that sell x dollars each, he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale.

c = total amount

y = number of books.

The total amount of income will be:

= 25000 + (x × y) + (8% × y)

= 25000 + xy + (0.08 × y)

C = 25000 + xy + 0.08y

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#SPJ1

Answer:

125 times out of 200 spins or 125/200

Step-by-step explanation:

Set up your equation:

5/8 = x/200

Cross Multiply:

1000 = 8x

x = 125

Answer:

I think answer is

D. X=4

:-))

Answer:

11

Step-by-step explanation:

90-35=55

55=5x

x=11

good luck

Answer:

22.5% increase.

Step-by-step explanation:

Because her collection grows by 9, that means it increases by 9/40 total. As a decimal, this would be 0.225. Then, as a percent you multiply that by 100 to get 22.5%. Pilar's collection increased by 22.5%

Answer:

hahaha is

easy hmm..........

Answer:

1/5. d

Step-by-step explanation:

sorry if I'm wrong

Answer:

2 lbs

Step-by-step explanation:

it's kind of just a guess, the question is not that clear.

Answer:

your answer,

you can answer 15 math problems in 12 minutes

Answer:

15.83 servings

Answer:

18.42

Step-by-step explanation:

34.86-16.44=18.42.

Answer:

A

Step-by-step explanation:

Not much of a reason but thats what i g ot

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

s midpoint of QT given

QT=ST definition of midpoint

<QSR=<UST vertical angles

QR//TU given

<RQS=<STU alternate interior angles

∆QSR=∆TSU ASA theorem

Answer:

40

Step-by-step explanation:

I hope this helps!

Answer:

40

Explanation:

Multiply -4 by 5

Then, Multiply -20 by -2

Which equals 40

Hope this helps:)

It is a right triangle. The distance is the hypotenuse of the triangle.

Use the Pythagorean theorem:

Distance = sqrt(3^2 + 2^2)

Distance = sqrt( 9 + 4)

Distance = sqrt(13) (exact distance)

As a decimal sqrt(13) = 3.60555