The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter

Answer:2x+(x+17)+(x-21)=180

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

The given parameters are:

P = 2x

Q = x + 17

R = x - 21

The sum of angles in a triangle is 180.

So, we have:

P + Q + R = 180

Substitute known values

2x + x + 17 + x - 21 = 180

Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1/2

Answer:

The answer for question one is 162 cm

m=y2-y1/x2-z1

=-1--3/1-3

=2/-2

=-1

Answer:

-1

Explanation:

I am going to apply the slope formula to solve this problem:

[tex]\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{m=\dfrac{-1-(-3)}{1-3}}\\\sf{m=\dfrac{-1+3}{-2}}\\\sf{\dfrac{2}{-2}}\\\\\sf{-1}[/tex]

Hence, the slope is -1.

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Answer:

D

Step-by-step explanation:

Answer:

p = 4

Step-by-step explanation:

Given equation:

[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]

Standard equation of a circle:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)

If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.

Therefore, [tex]p-3=1[/tex]

[tex]\implies p=1+3=4[/tex]

Additional information

To rewrite the given equation in the standard form:

[tex]\implies x^2+y^2-4x+6y-16=0[/tex]

[tex]\implies x^2-4x+y^2+6y=16[/tex]

[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]

[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]

[tex]\implies (x-2)^2+(y+3)^2=29[/tex]

So this is a circle with centre (2, -3) and radius √29

Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

The principal amount (P)= $700

The interest rate(R) = 13%

The period of investment (T) = 1 year

Simple interest

= P×T×R/100

= 700×T×13/100

= 9100/100

= $91

Therefore, the total amount she will receive at the end of a year

= 700 + 91

= $791

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Answer:

2ײY²¹ is the Answer

Thank you:)

answer:

213.176 units^2

explanation:
1) find the height

10.8^2+h^2=22.5^2
h^2=389.61

h=19.7

2) use formula to find area

A=1/2bh

A=1/2(21.6)(19.7)

A=213.176

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Answer:

32 cm^3

Step-by-step explanation:

Hope it will help you

Answer:

32 cm^3

Step-by-step explanation:

V = L x W x H

V = 2 x 2 x 8

V = 4 x 8

V = 32

The answer would be 32cm^3

I hope it helps! Have a great day!

Your Murderer~

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation:

Answer:

~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)

Step-by-step explanation:

Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.

Answer:

4(5x-2)= 6(x+8)

20x-8=6x+48

20x-6x=48+8

14x=56

[tex]x = \frac{56}{14} [/tex]

x=4

Step-by-step explanation:

hope this helps you!!

XXITSCHOCOLOVERXX

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x-2}{6}=\frac{x+8}{4} < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer[/tex]

Check your answer:

[tex]\frac{5x-2}{6}=\frac{x+8}{4}\\\\\frac{5(4)-2}{6}=\frac{4+8}{4}\\\\\frac{20-2}{6}=\frac{12}{4}\\\\\frac{18}{6}=\frac{12}{4}\\\\3=3[/tex]

This statement is correct

Hope this helps!

Answer:

Area of cube = 6l²

= 6×2²

= 24 ft²

2 feet.

how many square feet of wood he used to build the box.

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

Answer:

base is root66 ft and height is 4root66 ft

Step-by-step explanation:

see the picture for full solution

first slide:

a. not statistical

b. statistical

c. statistical

second slide:

a. yes

b.no

c. yes

d. no

third slide (drop-down question)

a. statistical

b. vary

fourth slide:

the last question, how many miles does each member of the biking club...

Answer:

Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)

Given:

⇒ perimeter = 2(-3x + 1) + 2(2x - 5)

                     = -6x + 2 + 4x - 10

                     = -2x - 8

Answer:

OPTION C

Step-by-step explanation:

This function is odd function because it is symmetric about the origin

Note:This graph also represents the graph of tanx

I hope it helped you

Answer:

Step-by-step explanation:

The length of the hypothenuse or the value of x is equal to 19.53

This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.

Data;

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2

Let's substitute the values and solve for the missing side.

[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]

The length of the hypothenuse or the value of x is equal to 19.53.

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Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

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Answer:

Step-by-step explanation:

FV = PV ( 1 + i)^n       i = decimal interest per period(year)   n = periods(years)

                   FV = future value   PV = present value (deposit or loan amount)

FV = 4500 ( 1 + .05)^2

FV = 4500(1.05)^2 = 4961.25    subtract the orginal deposit  which means 461.25 interest paid at 2 yrs

Answer:

The circumference of a circle with diameter 4 is 12.57.

Answer:

8x+7

Explanation:

f(x) = x + 3

g(x) = 7x + 4

==========

Put values

Done!

Answer:

799.04

Step-by-step explanation:

if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04

Answer:

3

Step-by-step explanation:

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Given Question

For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].

From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:

-------------------------------------------------------------------------------------------------------

Evaluating the expression for the given values of x:

[tex]x=0 \implies 2(0)-5=-5[/tex]

[tex]x=1 \implies 2(1)-5=-3[/tex]

[tex]x=2 \implies 2(2)-5=-1[/tex]

[tex]x=3 \implies 2(3)-5=1[/tex]

[tex]x=4 \implies 2(4)-5=3[/tex]

[tex]x=5 \implies 2(5)-5=5[/tex]

Evaluated set of values: -5, -3, -1, 1, 3, 5

To find the Mean Absolute Deviation (MAD):

[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]

Absolute values:

[tex]\sf|-5-0|=5[/tex]

[tex]\sf|-3-0|=3[/tex]

[tex]\sf|-1-0|=1[/tex]

[tex]\sf|1-0|=1[/tex]

[tex]\sf|3-0|=3[/tex]

[tex]\sf|5-0|=5[/tex]

Sum of absolute values = 18

[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]

Answer:

sqrt213

Step-by-step explanation:

Attached photo might help you out

Answer:

x = √213

Step-by-step explanation:

Step 1 : Solve for hypotenuse in the right triangle.

Step 2 : Solve for x.

Answer:

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

The maximum height is the corresponding y- coordinate

Find vertex

x coordinate

Y coordinate (Max height)

The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

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Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation: