The area of the triangle below is 5.89 square meters. What is the length of the base?

Answer:

θ = 110.61°

Step-by-step explanation:

It's not that hard :)

Let a = θ/3

Then sin a = 3/5 = 0.6

a = sin⁻¹(a) = 36.87°

=> θ/3 = 36.87°

θ = 3 x 36.87

θ = 110.61°

Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z

x°+144°=180°(angles on a straight line)

x°=180°-144°

x=36°

y°+56°=180°(angles on a straight line)

y°=180°-56°

y=124°

z°+y°+x°=180°(sum of angles in a triangle)

z°+124°+36°=180°

z°=180°-124°-36°

z=20°

The probability of selecting a female student with long hair is 45%

Let there be a total of 100 students in the class

Since 60% of the students are female, therefore out of 100 students 60 will be female students

Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair

Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class

= 45/100

So, there is a 0.45 or 45% chance that a female student with long hair is selected

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Answer:

[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]

Answer:

9p-0.9p^2

Step-by-step explanation:

There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.

The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.

Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.

You can use a ratio table to determine equal ratios and solve difficulties.

A conversion factor is a kind of number that is used to multiply or divide one set of units into another.

If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.

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The circumference of circle with radius 9.7inch is 60.916 inch.

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

A circle is a closed round object whose border points are all equally spaced apart from the center, which is a fixed point.

Given that :the circle with a radius of 9.7 inches

Circumference of a circle is [tex]2\pi r[/tex]

2 ×3.14×9.7 = 60.916

The circumference of circle with radius 9.7inch is 60.916 inch.

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Answer:

 3⁶

------

 4¹⁵

Step-by-step explanation:

(        4⁻³      )³

(  -------------  )

(   3⁻² × 4²   )

Switch numbers with negative exponents

(         3²     )³

(  -------------  )

(   4³ × 4²   )

(         9     )³

(  -------------  )

(   64 × 16  )

(       9         )³

(  -------------  )

  (   1024  )

Multiply 9 and 1024 by the 3rd power

    729  

 -------------  

1,073,741,824

Simplified would be:

 3⁶

------

 4¹⁵

I hope this helps!

Answer: 3.825, 3.180, 3.090, 3.008

Step-by-step explanation:

Answer: 3.008, 3.09, 3.18, 3.825

Step-by-step explanation: Least to greatest just means smallest to largest.

IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN

THEREFORE THE EQUATION WILL BE

[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]

THE EQUATION IS

[tex]y = - 2[/tex]

HOPE THIS HELPS

Answer:

The slope-intercept form would be: y = 0x - 2

Answer:

sqrt(39) is between 6 and 7

Step-by-step explanation:

Start by looking at perfect squares

1^2 =1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2= 49

39 is between 36 and 49  

so sqrt(39) is between 6 and 7

Answer:

Step-by-step explanation:

Answer:

[tex]y = - \frac{ {4x}^{2} }{5} + \frac{7x}{5} [/tex]

Answer:

[tex]\sf \dfrac{64}{343} \ cubic \ yard[/tex]

Step-by-step explanation:

      [tex]\sf \boxed{\bf Volume \ of \ cube =a^3}[/tex]

Here, a is the edge of the cube.

[tex]\sf a =\dfrac{4}{7} \ yard[/tex]

 [tex]\sf Volume \ of \ cube = \dfrac{4}{7}*\dfrac{4}{7}*\dfrac{4}{7}[/tex]

                          [tex]\sf =\dfrac{64}{343} \ cubic \ yard[/tex]

Answer:

[tex]t=d/r[/tex]

Step-by-step explanation:

Assuming you meant [tex]d=rt[/tex], dividing both sides by [tex]r[/tex] yields [tex]t=d/r[/tex].

The solution to the questions are

The general formula is given as

A = Pe^rt

In this case, we have

P = Initial number of people

r = rate

t = time

From the question, we have

P = 8

r = 12% = 0.12

So, we have

A = 8 * e^0.12t

This means that t = 5

So, we have

A = 8 * e^(0.12 * 5)

Evaluate

A = 15

This means that A = 3,700,00

So, we have

8 * e^0.12t = 3,700,00

Divide by 8

e^0.12t = 46250

Take the logarithm of both sides

0.12t = log(46250)

This gives

0.12t = 4.7

Divide

t = 39

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Answer:

Step-by-step explanation:

I will explain it in a screenshot. That all the way is divided into 5 parts. And 4 of them were by bicycle, and 1 part is by walk. So we divide all the way to 5 and multiply to leftover 1 piece.

The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C

given data

A(4, 4)

B(4, -4)

C(-4, -4)

D(-4, 4)

Looking at the given points the coordinates we can see that:

x coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4

y coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4

The inequality that is different from the one listed above is in option C making it the correct option.

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If the ball drops 80 meters in the 4 seconds, the time it takes the ball to drop in the next 8 seconds is; 720 meters

We are told that a ball dropped vertically falls a distance of d in t seconds and that d is directly proportional to the square of t. Thus;

D ∝ t²

Thus;

D = kt²  

where d is the constant of proportionality.

We are given that D = 80 m when t = 4 seconds and as such we have;

80 = k*4²

k = 80/16

k = 5

Therefore, the equation of motion is;

D = 5t²

When t = 8 + 4 = 12 seconds, we have;

D = 5 * 12²

D =  5 * 144

D =  720 m

Therefore, the distance the ball drops in the next 8 seconds

= 720 - 80

= 640 m.

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Answer:

4 hours :)

Step-by-step explanation:

Lets multiply to solve :)

1 hr: 2 1/2

2 hrs: 5

3 hrs: 7 1/2

4 hrs: 10 hrs

it will take 4 hours to walk 10 miles :)

Have an amazing day!!

Please rate and mark brainliest!

Answer:

The scientific notation for 500000000000 is 5 × 1011

Step-by-step explanation:

The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)

Answer:30.6452% decrease

Step-by-step explanation:

-Subtract starting value(original price) minus final value

-Divide that amount by the absolute value of the starting value

-Multiply by 100 to get percent decrease

-If the percentage is negative, it means there was an increase and not an decrease.

the answer is 14.28

Step-by-step explanation:

w/1.4_3.7=6.5

w/1.4=6.5+3.7

w/1.4=10.2

w=10.2*1.4

w=14.28

Answer: 14.28!

Step-by-step explanation:

I got a perfect 100% on my exam! This answer was right can i get brainliest?

For the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

As given in the question,

F, G, and H are the midpoints of the sides of ΔJKL.

F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL

Measure of the required sides are as follow:

FH = (KL / 2)                         (by midpoint theorem)

     = (48/2)

     = 24

JL = 2 x FG             (by midpoint theorem)

   = 2 x 37

   = 74  

KJ = 2 x GH             (by midpoint theorem)

    = 2 x 30

    = 60

FJ = GH = 30            (by midpoint theorem)

Therefore, for the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

The complete question is:

If F, G, and H are the midpoints of the sides  KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=​

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The table has an average rate of change of 3

The table represents the given parameter

From the table, we have the following interval is given as

[3, 7]

This can be rewritten as

x = 3 to x = 7

From the attached table, we have

f(3) = 7

f(7) = 19

The average rate of change of the function is then calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [19 - 7]/[7 - 3]

Evaluate

Rate = 3

Hence, the average rate of change is 3

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Answer: it was changed by 9 members per week.

Step-by-step explanation:

The slope of g(x) is [tex]\frac{-2}{5}[/tex] times the slope of f(x)

The x-intercept of f(x) is 8 more than the y-intercept of g(x)

As x approaches -∞, f(x) approaches ∞ and g(x) approaches -∞

Given,

f(x) = 10-5x

g(x) = -6+2x

The slope of f(x) = -5

The slope of g(x) = 2

Hence the slope of g(x) is [tex]\frac{-2}{5}[/tex] times slope of f(x)

For x-intercept assign zero value to f(x). Thus,

10-5x = 0

=> x = 2

So intercept of f(x) = 2

y-intercept of g(x) = -6

Hence x-intercept of f(x) is 8 more than y-intercept of g(x)

As x approaches -∞, f(x) = 10-(5 times (-∞)) = ∞

As x approaches -∞, g(x) = -6 + 2x = -6 + 2(-∞) = -∞

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