How to find the central angle

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Answer:

4

Step-by-step explanation:

(1,2) (0,-2)

y2 - y1 / x2 - x1

-2 - 2 / 0 - 1

-4 / -1

4

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

Answer:

10

3

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

Answer:

10

Step-by-step explanation:

3/ 8 is 0.375 while 15/4 is 3.75

so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags

Answer:

22

Step-by-step explanation:

(33/4)÷(3/8)

=8.25/.375

=22

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

If the percentage is 20%, the down payment is $177,100

If the percentage is 10%, the down payment is $88,550

Step-by-step explanation:

This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%

Let's go with the 20%

885,500 x 0.20 = 177,100

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

I think it’s 11.8

Step-by-step explanation:

Answer:

152 US quarts

Step-by-step explanation:

4 x 38 = 152

quarts = 4 of something

Answer:

152

Step-by-step explanation:

38 x 4 = 152

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Answer:1/2

Step-by-step explanation:it’s a 50/50 chance

Answer:

6/5 hours

Step-by-step explanation:

GIVEN :-

Lets say ,

TO FIND :-

PROCEDURE :-

In 2 hours , Pump A fills the whole tank.

⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)

In 3 hours , Pump B fills the whole tank.

⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)

In 1 hour , when both pumps will be used together , they will fill =

(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)

⇒  [tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]=> \frac{5}{6}[/tex] part of tank

5/6 part of tank will be filled by both the pumps in = 1 hour.

Using unitary method, multiplying both the sides with 6/5 -

⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours

⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours

∴ Both the pumps will take 6/5 hour to fill the tank , when used together.

Answer:

29

Step-by-step explanation:

5-(4*(6-12))=29

Answer:

La respuesta es 29, espero que esto ayude.

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

Answer:

33%

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

GOT IT RIGHT

Answer:

m∠1 = 70

Step-by-step explanation:

A line is 180 degrees

The angles of a triangle total to 180 degrees

180 - 101 = 79

79 + 31 = 110

180 - 110 = 70

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

70ft is the answer I think

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

Answer:

It would be 11 since in the equation 11(x+3), you would need to multiply 11 * x along with 11 * 3 to get your answer.

Full Answer: 11x+11*3

Answer: 8 turns

Step-by-step explanation: 5 children at a time, so 5*8=40, which is the closest to 38