A kite is 32 m above the ground. The angle the kite makes with the
ground is 30.9º. How long is the kite string?

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

5. all relations are a function

6. number 4 is not a function

7. 4 is not a function

8. all are functions

9.c

10. x-2=y

11. 2/3

Step-by-step explanation:

Answer:

a. Rule: multiply by 1.07

1.07 = 107% = 100% + 7%

Growth by 7%

b. Rule: multiply by 0.86

0.86 = 86% = 100% - 14%

Decay by 14%

c.  Rule: multiply by 1.125

1.125 = 112.5% = 100% + 12.5%

Growth by 12.5%

Answer:

2

Step-by-step explanation:

16 -> .16

.16×12.5=2

You just move the decimal point 2 times and multiply by the percentage

Answer:

2 students

Step-by-step explanation:

12.5% = 0.125

Multiply this by 16:

16 * 0.125 = 2

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

Answer:

2:5 is the ratio in this situations

Step-by-step explanation:

There are 2 blueberry bars, and 5 cherry.

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

If you have completed [tex]5[/tex] questions, you still have [tex]25-5=20[/tex] more questions to answer. We need to find what fraction [tex]20[/tex] is of [tex]25[/tex], if that makes sense. A fraction is simply a part over a whole. In this case, the part is [tex]20[/tex] and the whole is [tex]25[/tex]. Therefore, the fraction we are looking for is [tex]\frac{20}{25}[/tex], which simplifies to [tex]\frac{4}{5}[/tex]. Hope this helps!

Answer:

4\5

Step-by-step explanation:

25-5

20\25

4\5

hope this helps!

Answer its 82 i added the cm

Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

[tex]TU = 15[/tex]

Step-by-step explanation:

Given

[tex]\square MNOP \simeq\ \square STUV[/tex]

[tex]NO = 10[/tex]

[tex]OP = 4[/tex]

[tex]TU = x[/tex]

[tex]UV = 6[/tex]

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

[tex]NO : OP = TU : UV[/tex]

Substitute values for NO, OP, TU and UV

[tex]10 : 4 = x : 6[/tex]

Represent as fraction

[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]

[tex]6 * \frac{10 }{ 4 } = x[/tex]

[tex]x = 6 * \frac{10 }{ 4 }[/tex]

[tex]x = \frac{60 }{ 4 }[/tex]

[tex]x = 15[/tex]

Hence:

[tex]TU = 15[/tex]

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

Answer:

Answer: Expression that represents the length of one side of the square is x - 5.

Answer: do 8 x 12

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2

Answer:

x=67

Step-by-step explanation:

The correct statement is,

(B) f(x) has a greater maximum value than g(x).

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function f (x) is,

f (x) = - 8x² + 7

Now, First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where x = - b/a

Here, a = -8, b = 0

Hence, x = - 0 / - 8 = 0

So, We get;

f (0) = - 8 x 0 + 7 = 7

Thus,

The maximum point of f(x) is (0,7)

And, The maximum point of g(x) is (2,6)

Therefore, f(x) has a greater maximum value than g(x).

Hence3, The correct option is B.

Learn more about the function visit:

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Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

Answer:

D .58

Step-by-step explanation:

i got it right on edg

Answer:

58!

Step-by-step explanation:

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

Step-by-step explanation:

James will reach the school first

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

Answer:

124.0 ft^2

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Answer is in the picture:

At 2:02 PM the two vehicles pass each other.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given thta,

Los Angeles to San Francisco:

rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs

San Francisco to Los Angeles:

rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs

So, equation is

x/60 = (400-x)/40 + 3

x/60 = (400-x)+120/40

40x = 60[(400-x)+120]

40x=24000-60x+7200

100x=31200

x=312 miles

Now, time = 312/60

= 5.2 hours

Clock time = 9+5.2

= 14.2 hours

= 2:02 PM

Therefore, at 2:02 PM the two vehicles pass each other.

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sorry i had the wrong answer...

Answer:

si=Ptr/100

and di solution

Answer:

[tex] \frac{4}{3} [/tex]

Step-by-step explanation:

consider downloading photomath

2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730

The number in scientific form is given as:

2.673 × 10^4

Express 10^4 as 10000

2.673 × 10^4 = 2.673 × 10000

Evaluate the product

2.673 × 10^4 = 26730

Hence, 2.673 × 10^4 as an ordinary number is 26730

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The answer is 15 because of math and calculator