Use the diagram and solve for x if:angel AOB= 4x - 2; Angel BOC=5x + 10; Angel COD=?

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:

A. 4.4 I am doing good today

Answer:

7x + 5

12x^2 + 20x

2

Step-by-step explanation:

1. (g + h)(x)

We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:

g(x) + h(x)

3x + 5 + 4x

7x + 5

2. (g * h)(x)

We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:

g(x) * h(x)

(3x + 5) * (4x)

We can distribute 4x to both terms:

3x * 4x + 5 * 4x

12x^2 + 20x

3. (g - h)(3)

We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

h(3) = 4(3)

h(3) = 12

Now, we can plug in these two values:

g(3) - h(3)

14 - 12

2

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

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:

C. 4

Step-by-step explanation:

first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.

4^2 + JK^2 = 5^2

16 + JK^2 = 25

JK^2 = 9

JK = 3

now we can solve for GH

3^2 + GH^2 = 5^2

9 + GH^2 = 25

GH^2 = 16

GH = 4

Answer:

1400

Step-by-step explanation:

hope that helps <3

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

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:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

To learn more about sets, please check: https://brainly.com/question/13192210

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:

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:

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:

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:

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

Answer:

x= y=2

Because that's why the lines intercepts

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:

Measure of angle VWU=48°

Measure of angle SUT= 87°

Two pairs of vertical angles: SUT & VUW, VUS & WUT

Answer:

Measure of angle VUW=48° Measure of angle SUT= 87° Two pairs of vertical angles: SUT & VUW, VUS & WUT

Step-by-step explanation:

tnx for pionts

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:

3

Step-by-step explanation:

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:

radius is 9

Step-by-step explanation:

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

Normal price - 3600

offer on printer = 20% = 3600×20/100 = 720

The sale price of printer = 3600 - 720= 2880

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 )