Find the volume of the cylinder with the radius of 1.5 inches and the height of 8 inches.

Answer:

all radii of the same circle are congruent

tangents to a circle that intersect are congruent

side CO is congruent to side CO

SSS congruency theorem

Step-by-step explanation:

The triangle △ACO ≅ △BCO are congruent to each other by SAS postulate.

Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

We know that the radius and the tangent are perpendicular to each other.

Then the angle ∠CAO and angle ∠CBO are of 90°.

We know that the tangent of the circle drawn from the point outside the circle will be 2, and these tangent are of equal length.

In triangle △ACO ≅ △BCO, we have

CO = CO (Common side)

∠CAO = ∠CBO = 90°

OA = OB (Radius)

Thus, the triangle △ACO ≅ △BCO are congruent to each other by SAS postulate.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Answer:

0.75757575757

Step-by-step explanation:

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Answer:

The new shape will be like the one that i have drawn for you , i think .

Step-by-step explanation:

add two ( to base* from both sides of it * )

delete one ( from hights )

Hope it was useful ;)

Answer:

16.3ft

Step-by-step explanation:

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

Answer:

Volume= 10 cm³

Step-by-step explanation:

[tex]V=lwh[/tex]

[tex]V=\frac{5}{4} *4*2[/tex]

[tex]V=5*2[/tex]

[tex]V=10[/tex]

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement

Answer:

17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17

Answer:

Hypotenus property a2 +b2 =c2

Answer:

10. No solutions -- Because 5 can't = 0

11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =

12. No Solutions -- Because 8 can't = 2

13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9

14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z.   and if you but any # for z they will always be =

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

Answer:

Step-by-step explanation:

point sorry

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

9514 1404 393

Answer:

  3 times the smaller triangle base

Step-by-step explanation:

The volume is proportional to the height and to the area of the base.

If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.

Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

Answer:

y = 140°

Step-by-step explanation:

we know that sum of two opposite interior angles are equal to one exterior

=> y = 120° + 20°

=> y = 140°

hope it helps

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation: