2. 47 in = ? ft ? in
a .3ft 11in
b. 3ft 9in
c. 4ft 0in
564 ft 0 in

The height of the tree is 50 feet.

We have given,

cap A tree standing vertically on level ground casts a. 72feet.

We solve this by using trigonometry, the height of the tree to the nearest foot is 50 feets

[tex]tan\theta = opposite / Adjacent[/tex]

Opposite = height, h

Adjacent, = 140 feets

Angle, θ = 19.8°

[tex]tan(19.8) = h / 140[/tex]

Cross multiply

[tex]h = 140 \times tan(19.8)[/tex]

h = 50.403 feets

Height, h = 50 feets (nearest foot)

Therefore, the height of the tree is 50 feets

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The quadratic equation with the given characteristics is:

f(x) = (x + 3)*(x - 7).

We know that the vertex must be (2, -25) and it passes through (7, 0).

For a quadratic equation:

y = a*x^2 + b*x +c

The x-value of the vertex is:

x = -b/2a

Then we have:

2 = -b/2a

We also have:

-25 = a*4 + b*2 + c

And because the function passes through (7, 0) we know that 7 is one of the roots, then:

0 = a*49 + b*7 + c

Then we have 3 equations to work with:

2 = -b/2a

-25 = a*4 + b*2 + c

0 = a*49 + b*7 + c

If we subtract the third and second equations we get:

25 = a*45 + b*5

Now, with the first equation we can rewrite:

a  = -b/4

Replacing that in the other equation:

25 = a*45 + b*5

25 = (-b/4)*45 + b*5 = b*(-25/4)

25*(-4/25) =b = -4

Now we know the value of b.

2 = -(-4)/2a

a = 1

Now we need to find the value of c, we have that:

0 = 1*49 + -4*7 + c

0 = 49 - 28 + c

0 = 21 + c

Then c = -21

The equation is:

[tex]y = x^2 - 4x - 21[/tex]

It can be factorized to:

f(x) = (x + 3)*(x - 7).

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Answer:

23

Step-by-step explanation:

3(-2)^2-2(-2)+7

=23

Answer:

That will be 1.

Step-by-step explanation:

Answer:

1 cubic foot.

Step-by-step explanation:

The equation 3x²-5x-5 will have two solutions.

If the value of x in the given quadratic equation is a real number then the roots of the equation are real.

The discriminant of the equation will be calculated as:-

    =  3x  ²-  5x   -   5

D  =  b²   -   4ac

D  =  ( 5 )²  -   4  x  3  x  -5

D  =  25    -    ( -60 )

D  =   85

Since the discriminant is positive then the equation will have real roots and the degree of the equation is 2 so it will have two solutions.

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Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know,

[tex] \sf \qquad density = \dfrac{mass}{volume} [/tex]

So, we can infer that :

[tex] \sf \qquad mass= {density} \cdot{volume} [/tex]

Now, let's calculate the mass of gases in each case :

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times (15) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times 3375 {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 303.75 \: \: mg {}^{} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass =0. 30375 \: \: g {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 1680[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.294 \: \: g[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 1.251\: \cdot \: \dfrac{4}{3} \cdot3.14 \cdot(4) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.417\: \cdot \: 803.84[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 335.201 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.335 \: \: g[/tex]

So, the arrangement of masses from least to greatest is :

Answer:

Helium<Hydrogen<Nitrogen

Step-by-step explanation:

The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625

The total amount earned by any worker with his basic pay like incentives allowances etc.

It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.

Last week she worked 43.5

The distribution of the work is given as:-

Monday      Tuesday        Wed      Thursday       Friday    Total

9 Hours     9 Hours          8.5         8.5                   8.5      43.5

So we have the total working hours = 43.5 hours

Weekly working hours are =40 hours

So for 40 hours she will be paid:-

Pay =40x17.50

Now extra hours or overtime is =43.5-40=3.5 hours

So the extra income will be half of the regular:-

Pay=3.5x({1}÷{2}) x17.5=$30.625

So total gross pay will be = $700+$30.625=$730.625

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Answer:

6.28

Step-by-step explanation:

Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14

R times 2= diameter

D time Pi= area

Area = 6.28

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Answer:

Step-by-step explanation:

Let the calculators be C and the books be B.

3C + 4B = 23                   and                 2C + 3B = 16

3C = 23 - 4B                                           2(23 - [tex]\frac{4B}{3}[/tex]) + 3B = 16

C = 23 - 4B                                             46 - [tex]\frac{8B}{3}[/tex] + 3B = 16

         3                                                    46 - [tex]\frac{-8B + 3B }{3}[/tex]

Answer:B 20 percent

Step-by-step explanation:

1) Diagonals of a rectangle bisect each other, so AW=13.

2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.

3) Diagonals of a rectangle are congruent, so BD=26.

4) Opposite sides of a rectangle are congruent, so AD=10.

5) Using the Pythagorean theorem, BA=24.

p=20+25c because it i did this on paper so i got what it equals to

Answer:

6400

Step-by-step explanation:

they are being squared in the pattern

Answer: Its 28.7

Step-by-step explanation:

Answer:use camera math!

Step-by-step explanation:it helped me!it only works

On math though so you cant use it on any

Other subject hope this helped sorry

If it didn’t!

Equation A find the lowest number of the three. Equation A satisfies the given conditions.

If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.

Assume the three consecutive integers are 2x,2x+2,2x+4

The sum of the three consecutive even numbers are 36;

x+x+2+x+4 = 36

3x+6=36

3x=30

x=10

The three integers are found as;

x =10

x+2 = 10+2 = 12

2x+4 =10+4=14

Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.

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Answer:

D. Irrational

Step-by-step explanation:

Answer:

(n + 4)(n+ 22)

Step-by-step explanation:

One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.

Step #1: Multiply the first terms

(n + 4)(n + 22) ----> n x n = n²

Step #2: Multiply the inside terms

(n + 4)(n + 22) -----> 4 x n = 4n

Step #3: Multiply the outside terms

(n + 4)(n + 22) -----> n x 22 = 22n

Step #4: Multiply the last terms

(n + 4)(n + 22) -----> 4 x 22 = 88

Step #5: Write the new expanded equation and simplify

(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88

Answer:

20 gallons

Step-by-step explanation:

The tank is at its full capacity, and its full capacity is 20 gallons. This means there is 20 gallons of gas in the tank.

Answer:

Step-by-step explanation:

Without Children - 73 - 15 - 88

With Children - 31 - 67 - 98

Total - 104 - 82- 186

The required table for given situation as:

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators.

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

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Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

4

2

one-half

Step-by-step explanation:

Hope this helps!! :)

Using the interactive ruler, we can determine that it is 4 Units from the dilation's center to the image and pre-image.

This virtual instrument, which appears on the computer screen and is also known as an Interactive Teaching Program (ITP) ruler, is used to measure a shape's lines and sides.

Given, we need to find the distance in units between points C and A

Using the interactive ruler, we can determine that the separation between points C and A is 2 units.

Therefore, it takes 1.5 units to get from point C to point A'.

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The method of completing the square can be used to determine the vertex of a function. he unknown value is -162

The method of completing the square can be used to determine the vertex of a function.

Given the quadratic function

-2x² + 36x
-2(x²-18)

Complete the square

-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162

Compare

On comparing with the expression, you can see that the unknown value is -162

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The equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]

The equation is given as:

x² - 10x + 13 = 0

The solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

So, we have:

[tex]x =\frac{10 \pm \sqrt{(-10)^2 -4 * 1 * 13}}{2 * 1}[/tex]

Evaluate the radicand

[tex]x =\frac{10 \pm \sqrt{48}}{2}[/tex]

Take the square root of 48

[tex]x =\frac{10 \pm 4\sqrt{3}}{2}[/tex]

Divide

[tex]x =5 \pm 2\sqrt{3}[/tex]

Hence, the equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]

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It also illustrates a situation where different methods can lead to what appear to be entirely different answers, yet they may be identical. A circle O is circumscribed around a triangle ABC, and its radius is r. The angles of the triangle are CAB = a, ABC = b, BCA = c.

The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.

Then time taken for the first trip will be

t₁ = 867 / 612

t₁ = 1.4167 hours

Then time taken for the second trip will be

t₂ = 1984 / 744

t₂ = 2.6667 hours

Then the average speed is the ratio of the total distance to the total time.

The total distance will be

Total distance = 867 + 1984

Total distance = 2851 miles

The total time will be

Total distance = 1.4167 + 2.6667

Total distance = 4.0834 hours

Then the average speed will be

Average speed = 2851 / 4.0834

Average speed = 698.19 mi/h

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The probability of getting a shape with at least four sides, then tails will be 1/12.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The spinner below is spun once, then a coin is tossed.

Then the probability of getting a shape with at least four sides, then tails will be

For spinner

Favorable event = 5

Total event = 6

For a coin

Favorable event = 1

Total event = 2

P = 5/6 x 1/2

P = 5/12

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Answer:

For the Third Question The answer would be D

Step-by-step explanation:

When u multiply 5×3=15

so 18^15/8 would be the correct answer