A kite is flying 96 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 63º. Find the length of the string. Round your answer to the
nearest tenth.

Answer:

5x^2+10x+6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Answer:

56851200

Step-by-step explanation:

The expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

It is given that:

The word expression:

"five thousand six hundred eighty-five and twelve hundredths"

The number would be:

= 5685.12

In the expanded form the number can be written as:

The expanding form can be used to indicate the value of each digit in a number in arithmetic.

Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.

Expanded Form:

5685.12 = 5000 + 600+ 80 + 5 + 0.1 + 0.02

Thus, the expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

John's share = £72

Kate's share = £108

Step-by-step explanation:

Given:-

Share amount of John and Kate = £180

Share amount given in ratio = 2:3

Find:-

Work out how much money each person

receives.

Solution:-

Ratio:

John        Kate

 2        :      3

Add the ratio:

2 + 3 = 5

Divide the total amount from the added ratio:

180 / 5 = 36

Each part of the ratio is 36.

John's amount:

{multiply 36 with 2}

36 × 2 = £72

Kate's amount:

{multiply 36 with 3}

36 × 3 =  £108

(CHECK:- £108 + £72 = £180 )

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Answer:

[25+(-13)+(-17)

25-13-17

-5

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter

Answer:

[tex]16x^{2}+44x+61[/tex]

Step-by-step explanation:

g(f(x)) means that you substitute f(x) as x in g(x)

[tex]2(2x+7)^{2}-(6)(2x+7)+5[/tex]

expand

(2x+7)(2x+7)=

4x^2+28x+49

(2)(2x+7)(2x+7)=16x^2+56x+98

16x^2+56x+98-12x-42+5

16x^2+44x+61

Answer:

21600

Step-by-step explanation:

20000*1.2*.9=21600

Answer:

Option(B) & Option(C)

Step-by-step explanation:

Right angled triangle (One angle is 90 degree)

Isosceles(Two sides of triangle are equal)

Answer:

-1/3

(the second choice)

Answer:

cos A =1.0

sin B=0.02

tan C=9.1

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Answer:

Step-by-step explanation:

Put in the 3 and 4 so it is the square root of 3^4 - -6^2

The square root of 3^4 + 6^2

The square root of 3^4 is 3^2 so

9 + 6^2

=> 9 + 36

=> 45

45 in numerals is XLV

Answer:

The third side is 3.6

Step-by-step explanation:

Incomplete question;

The parameter from the complete question can be summarized as follows:

[tex]Side\ 1 =2[/tex]

[tex]Side\ 2 =3[/tex]

Required

Determine the third side (hypotenuse)

Let the third side be x;

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]x^2 = 2^2 + 3^2[/tex]

[tex]x^2 = 4 + 9[/tex]

[tex]x^2 = 13[/tex]

Take square roots of both sides

[tex]x = 3.6[/tex]

Step-by-step explanation:

it's called answer is minus 7

Answer:

[tex]{ \tt{f(x) = 5x + 3}} \\ { \tt{f( - 2) = 5( - 2) + 3 }}\\ { \bf{f( - 2) = - 7}}[/tex]

Answer:

multiply the bottom equation by 6

Answer:

37.5% of the programs are targeted at adults

Step-by-step explanation:

The following figure shows the given four column table for the target audience of television programming

[tex]\begin{array}{lllc}&Television \ Programming \\& Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583& \approx 0.417&1.0\end{array}[/tex]

From the table, we have that the best description of the value 0.375 in the table is that the percentage of television program targeted at adults is 37.5%

Answer:

The answer is a “Given that the program was targeted at adults, there is a 37.5% chance that it was recorded”

Step-by-step explanation:

i did the test

Step-by-step explanation:

everything can be found in the picture

Answer:

w = - (7/2) z

Step-by-step explanation:

5w + 9z = 2z + 3w

Subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = - (7/2) z

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

x-9.3 = 86.7

Step-by-step explanation:

Answer:

Alice - £124.62

Bernice - £290.77

Carol - £184.62

Step-by-step explanation:

Let the amount of money Alice has be a. This way, the sentence "The ratio of Alice’s money to Bernice’s money is 3:7." can be translated into a proportion:

Alice's money / Bernice's money = 3 / 7

We can substitute Alice's money with a, and cross multiply and solve for Bernice's money:

a / Bernice's money = 3 / 7

7a = 3(Bernice's money)

Bernice's money = 7/3 a

Now, we can represent Carol's money in terms of Alice's money, she has 60 more, or a + 60. We can create can equation to represent the total:

Alice's money + Bernice's money + Carol's money = total

We can plug in what we have and solve for a:

a + 7/3 a + a + 60 = 600

13/3 a = 540

a = 124.62

This means Alice has £124.62

Bernice has 7/3 a amount of money, so we can substitute the value of a to get Bernice has 7/3 (124.62), or £290.77

We can do the same for Carol who has 60 more, 124.62 + 60 is £184.62

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

Answer:

(12 + 6) / (3 + 3) =  18 / 6 = 3

your answer is : (12 + 6) / (3 + 3)

Answer:

A

Step-by-step explanation:

A) 18/6 = 3

B) 12+5 = 17

C) (18 / 3) + 3 = 9

D) 12 +(6/6) = 13

Answer:

1152\pi\

Step-by-step explanation:

Answer:

y = -50x +775

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

base = 4-1

= 3

height = 3-1

= 2

Area = 1/2 (b)(h)

= 1/2 (3)(2)

= 3

therefore the answer is 3 square unit