Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches. If the minimum point that the middle of the rope reaches is 3 inches above the ground, what is the maximum point that the middle of the rope reaches?

A.
75 inches
B.
39 inches
C.
36 inches
D.
72 inches

tan:opposite/adjacent

tan(x)=32/21

tan^-1(32/21)=x

x=56.7

Answer:

It would take them  [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]

Find the common denominator, then add the fractions together:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

Answer:

Isosceles triangle

Step-by-step explanation:

Given

Two congruent angles and two congruent sides

Base on the given description, the concept being described is an isosceles triangle, as it has two congruent sides and two congruent angles.

If each angle measures 45 degrees each, then the third angle is 90 degrees.

This is shown below.

[tex]\theta + 45 + 45= 180[/tex] --- angles in a triangle

[tex]\theta + 90= 180[/tex]

Subtract 90 from both sides

[tex]\theta = 90[/tex]

where C is the circumference, d is the diameter and r is the radius.

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.

If you are given the diameter then use the formula C = πd

If you are given the radius then use the formula C = 2πr

Step-by-step explanation:

Answer:

8(x+9)=7

comment if you need anything else like solving for x

Answer:

You take a regular photo of your question on your device and upload it when your asking a question on brainly!

Step-by-step explanation:

Hope I helped!

Answer:

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

Step-by-step explanation:

The correct options are given below,

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,

A pair of supplementary angles: AKB and BKG

A pair of complementary angles: FGE and EGD

A pair of vertical angles:  IJH and KJG

To know more about lines and angles follow

https://brainly.com/question/25770607

#SPJ2

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

Answer:

25/30 and 28/30

Step-by-step explanation:

answer for the plato mastery test

Answer:

A11 = 230.66015625

Step-by-step explanation:

hi!

the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!

I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)

the next thing you can do is use this formula:

An = A1*r^(n-1)

An = the nth term of the sequence

A1 = the first term in the sequence

r = common ratio

n = the number of term that you are solving for

A11 = 4*(3/2)^(11-1)

A11 = 4*(3/2)^10

A11 = 230.66015625

Answer:

i think that if u can please redo this question it might help

Answer:

The coordinates of point y after the transformation is (-6,5)

Step-by-step explanation:

Firstly , we need to get the coordinates of the point y before the transformation

The coordinates are

(-6,-5)

By reflecting over the y-axis, we have the following change;

(x,y) becomes (-x,y)

So we have;

(6,-5)

Then we are to rotate at an angle of 180 degrees counterclockwise

The operation here will be;

(x,y) to (-x,-y)

So we have;

(6,-5) to (-6,5)

Answer:Assuming a 3-inch diameter, pillar candles of 3, 4 and 6 inches in height will burn for 45, 60 and 75 hours, respectively. Three-inch Party Lite pillar candles will burn 30-35 hours; 5-inch, 65 to 70 hours; and 7-inch, 90 to 95 hours. The three-wick 6-by-5-inch candles burn for more than 100 hours.

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find x:

Find Y:

Answer:

(7,0) and (-3,0)

Step-by-step explanation:

Given the factors, we want to get the x-intercepts

All we have to do is to get the x values by equating the factors to zero

we have this as;

(x -7) = 0 and (x + 3) = 0

x = 7 and x = -3

The x-intercepts are;

(7,0) and (-3,0)

Answer:

Volume of the cone V》1570 cm^3

Volume of the hemisphere V》4186.67cm^3

Volume of the entire figure V》5756.67cm^3

hope it helps...

hope it helps...have a great day !!

Answer:

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

=convert 3.8 into mixed number

=3 4/5

=1 3/10+3 4/5

=5.1 in mixed fraction

=5 1/10

if i got it wrong i am seriously sorry!

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

x= 5/2 x= (±sqrt13)/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:57

Step-by-step explanation:

(7 x 9) - (-3 x -2) = 57

Answer:

I don't know

Step-by-step explanation:

ok k ggceyubvsxhik n

Answer:

t=9

Step-by-step explanation:

subtract 9 from both sides

t/3=3

t=9

Answer:

58.4197cm^2

Step-by-step explanation

cirlce area formula: [tex]\pi[/tex]r^2

r= 6.1

[tex]\pi[/tex]=3.14

Now plug numbers into the formula

area of circle:

= (3.14)(6.1^2)

=(3.14)(37.21)

= 116.8394cm^2  ------> area of full circle

now divide by 2, to find area of semi circle

116.8394/2= 58.4197cm^2

[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]

area of semicircle is 58.572 m²

[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]

[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]

We have to find the area of semicircle

So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.

We have given the radius of circle is 6.1 m

[tex]\huge\mathfrak\red{Solution : }[/tex]

[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]

[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]

[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]

Therefore,

[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]

[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]

[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

Answer:

i got you

Step-by-step explanation:

Answer: OK

Step-by-step explanation:

OK