Find the measure of the arc TDB in the circle P shown below:

Answer:

$10,080

Step-by-step explanation:

Monthly premium = $56

So, yearly premium = $56 × 12 = $672

Time period = 15 years

Now, we can calculate the total cost for 15 years period by using following formula,

Total cost = yearly premium × Time period

By putting the value, we get

Total cost = $672 × 15

= $10,080

Hence, total cost for 15 years period is $10,080.

Answer:

3

Step-by-step explanation:

The formula for the sum of an infinite geometric series is

[tex]\frac{a}{1-r}[/tex]

Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:

[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]

Now, we have all the values need to evaluate the formula. We can plug them in:

[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]

Answer:

solution;

here;

we have;

base = 20m

height = 17m

Now;

we know;

area of triangle = 1/2*b*h

                          = 1/2*20*17 [1/2 = 0.5]

                          = 0.5 * 340

                          = 170m^2

Hope you  got it !!!!

Answer:

170

Step-by-step explanation:

To find the area of a triangle, you just multiply the base by the height and divide by 2 .

In your problem, the base is 20 and the height is 17.

When you multiply those numbers, the answer is 340.

You then just have to divide that by 2, and you get 170.

Answer:

y = 1

Step-by-step explanation:

The midline of h(x) = 2 cos(7x + 5) is y = 0.

The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.

Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

Answer:

Average score per game = 60,000 per game

Step-by-step explanation:

Given:

Points scored in first game = 25,000

Points scored in second game = 125,000

Points scored in third game = 30,000

Find:

Average score per game

Computation:

Average = Sum of observation / Number of observation

So,

Sum of all game = 25,000 + 125,000 + 30,000

Sum of all game = 180,000

Number of games = 3

Average score per game = 180,000 / 3

Average score per game = 60,000 per game

Answer:

5) [tex]x=3,-1[/tex]

6) [tex]r=-6,-4[/tex]

7) [tex]p=2,3[/tex]

8) [tex]n=-4,8[/tex]

Step-by-step explanation:

5) [tex](x-3)(x+1)=0[/tex]

   [tex](3-3)(-1+1)=0[/tex] substitute x for a number that will make the statement true.

6) [tex](r+6)(r+4)=0[/tex]

   [tex](-6+6)(-4+4)=0[/tex] substitute r for a number that will make the statement true.

7) [tex](p-2)(p-3)=0[/tex]

   [tex](2-2)(3-3)=0[/tex]  substitute p for a number that will make the statement true.

8) [tex](n+4)(n-8)=0[/tex]

   [tex](-4+4)(8-8)=0[/tex] substitute n for a number that will make the statement true.

Answer:

120 in³

Step-by-step explanation:

10 x 4 x 3 = 120

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

answer is 8

Step-by-step explanation:

hope this helps

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x= y=2

Because that's why the lines intercepts

Answer:

x = -4

Step-by-step explanation:

-18 = 6+6x

-18 -6 = 6x

-24 = 6x

-24/6 = x

x = -4

Checking Part:

-18 = 6 + 6x

-18 = 6 + 6(-4)

-18 = 6 -24

-18 = -18

Answer:

-4

Step-by-step explanation:

Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4

Hope this helps

Answer:

The maximum height of the ball is: 14.0625ft

Step-by-step explanation:

The missing information is:

[tex]h(t) = 30t - 16t^2[/tex]

Required

The maximum height the ball attained

First, we calculate the time to reach the maximum height.

For a function: [tex]h(t) = at^2 + bt + c[/tex]

The maximum is: [tex]t = \frac{-b}{2a}[/tex]

So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:

[tex]t = \frac{-b}{2a}[/tex]

Where

[tex]a = -16; b = 30[/tex]

So:

[tex]t = -\frac{30}{2*-16}[/tex]

[tex]t = -\frac{30}{-32}[/tex]

[tex]t = \frac{30}{32}[/tex]

[tex]t = 0.9375[/tex]

The maximum height is then calculated as:

[tex]h(t) = 30t - 16t^2[/tex]

[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]

[tex]h(0.9375) = 28.125- 14.0625[/tex]

[tex]h(0.9375) = 14.0625[/tex]

Answer:

x= 9

Step-by-step explanation:

85 + 2x +2 + {180 -(11x + 6) }=180 (sum of angles in a triangle)

87 + 2x + 180 - 6 -11x = 180

87 -9x - 6 = 0

81 = 9x

x= 9

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

=======================================================

Explanation:

The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer

(138-58)/2 = 80/2 = 40 degrees

The general formula is

(A - B)/2

where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:

A. 4.4 I am doing good today

Answer:

y - 1 = 3/2(x - 4)

Step-by-step explanation:

plug in the given(known) x and y coordinates into the point-slope form:

=> y - 1 = 3/2(x - 4)

Answer:

radius is 9

Step-by-step explanation:

radius is half the diameter which is 18  and half of 18 is 9

Answer:

-12 and 4

Step-by-step explanation:

-12 x 4 = 48

and

-12 + 4 = -8

Answer:

-12 and +4

Step-by-step explanation:

-12 * 4 = - 48

-12 + 4 = - 8

Answer:

Step-by-step explanation:

2.CB≅CB (being common side)

3.triangle CAB≅ triangle BDC(by ASA axiom)

4.length AB≅ length CD( Given )