What is the area of the circle?

Answer:

The nth term of the arithmetic sequence is;

90 - 3n

Step-by-step explanation:

Here, we want to find an expression for the nth term of the sequence

Mathematically, let us determine the type of sequence

As we can see;

84 - 87 = 81-84 = -3

The difference between the terms is a constant; this means that the sequence is arithmetic

The nth term of an arithmetic sequence can be represented by;

Tn = a + (n-1)d

in this case, a is the first term of the sequence = 87

d is the common difference of the sequence = -3

The nth term is thus;

Tn = 87 + (n-1)-3

Tn = 87 - 3n + 3

Tn = 87 + 3 - 3n

Tn = 90 - 3n

The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.

Given that, the set of measurements representing the side lengths of a right triangle,

We will check the measurements by seeing if they are following the Pythagoras theorem or not,

Option A)

16 ft, 30 ft, 34

16²+30² = 1156 = 34²

∴ 16²+30² = 34²

Option B)

9²+12² = 225 = 15²

9²+12² = 15²

Option C)

7²+24² = 625 = 25²

7²+24² = 25²

Option D)

5²+7² = 74 ≠ 12²

Since, 5ft. 7 ft, 12 ft set of  measurements are not following the Pythagoras theorem.

Therefore, it's not a right triangle.

Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

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Answer:770000

Step-by-step explanation:

That how much they made

Answer:

€8988.75

Step-by-step My bad that's not the answer

Answer:

Step-by-step explanation:

after 2 seconds the ball would be 96 feet in the air

in 9 seconds will it reach its max height

max height=136ft

Answer:

Step-by-step explanation:

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius

Answer:

First one should be 309 second one should be 624 I may be wrong though since I haven't done volume in years

Step-by-step explanation:

:)

Answer:

A is 381 for the whole thing

B is 792 i think i am not one hundred percent sure on this one but it should be right

Step-by-step explanation:

Answer:

Perimeter = 155.6 m

Step-by-step explanation:

Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:

[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]

Therefore, the perimeter of the square playground is 4 times this value:

Perimeter = 38.89 m *4 = 155.56 m

Since they want the answer rounded to the nearest 10th, we write:

Perimeter = 155.6 m

Answer:  I. 38.9 II. 155.6

Step-by-step explanation:

So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'

The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:

Hypotenuse= Leg*√2

We don't know the answer to the legs yet, so we have to divide both sides by √2.

L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:

L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2

The square root of 2 is 1.414, so multiply:

27.5*1.414= 38.9 (the length of each side.)

If you want to simplify the equation a little more, here is another way of writing it;

sides length²*2=diagonal length².

Since we know each side length, all we have to do to find the perimeter of the square is to:

Perimeter = 4*side

155.6 = 4*38.9

Hope that can help!

Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4

Step-by-step explanation:

[tex]y = 3(4 - 2) + 5.5 \\ y = 3(2) + 5.5 \\ y = 11.5[/tex]

Answer:

option B

Step-by-step explanation:

you cannot have one input and 2 outputs.

(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction

Answer:

x = 19

Step-by-step explanation:

use the distributive property

3(x - 9) = 30

3x - 27 = 30

     +27   +27

3x = 57

divide by 3

x = 19

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

The value of x is 19.

Step-by-step explanation:

The steps are :

3(x- 9) = 30

3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]

x - 9 = 10

x - 9 + 9 = 10 + 9 [eliminate -9 on left side]

x = 19

Answer: x= 1023 /64

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

64x+1=1024

Step 2: Subtract 1 from both sides.

64x+1−1=1024−1

64x=1023

Step 3: Divide both sides by 64.

64x /64 = 1023 /64

x= 1023 /64

Answer:

1023/64

Step-by-step explanation:

4^3x+1=4^5

64x+1=4^5

64x+1-1=1024-1

64x=1023

64x/64}=1023/64

1023/64

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

Answer: Ted

Step-by-step explanation:

Answer:

Pandemic, Loss In family

Step-by-step explanation:

The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

Answer:

The answer to this question is 12 inches.

Step-by-step explanation:

This is because 288 + b^2 = 432. After further calculations you can conclude that b = 12.

Answer:

12 inches

Step-by-step explanation:

;)

Answer:

what is the question?

Step-by-step explanation:

Answer:

A=24 good sir/madam.

Step-by-step explanation:

4•6=24

Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

Answer:

9[tex]\frac{1}{3}[/tex] gallons of water

Step-by-step explanation:

To find how many gallons of water go down each minute, divide the total number of gallons of water by the number of minutes it takes to drain:

70/7.5

= 9[tex]\frac{1}{3}[/tex]

So, 9[tex]\frac{1}{3}[/tex] gallons of water go down the drain each minute

Answer:

9 1/3 gallons go down the tub

Step-by-step explanation:

Answer:

20 is 80 of 25

Explanation:

20x10/8=25

A percentage is a way to describe a part of a whole. 20 is 80% of 25.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the number be x. Therefore, we can write,

80% of x = 20

0.80 × x = 20

x = 20/0.8

x = 25

Hence, 20 is 80% of 25.

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Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

Answer:

303.875

Step-by-step explanation:

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

Answer:

[tex]t= 7.67[/tex]

[tex]t= 10.13s[/tex]

Step-by-step explanation:

Solving (a):

[tex]H=-16t^2+122t+5[/tex]

Required: Time to hit the ground

This means that H = 0

So, we have:

[tex]0=-16t^2+122t+5[/tex]

Rewrite as:

[tex]16t^2-122t-5=0[/tex]

Solve for t using:

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

[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]

[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]

[tex]t= \frac{122 \± 123.3}{32}[/tex]

Split:

[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]

[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]

[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]

Time can not be negative. so: [tex]t= 7.67[/tex]

Solving (b):

[tex]h=-16t^2+162t+0.2[/tex]

Required: Time to hit the ground

This means that h = 0

[tex]0=-16t^2+162t+0.2[/tex]

Rewrite as:

[tex]16t^2-162t-0.2= 0[/tex]

Solve for t using:

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

[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]

[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]

[tex]t= \frac{162 \± 162.04}{32}[/tex]

[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]

[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]

Time can not be negative. So:

[tex]t= \frac{324.04}{32}[/tex]

[tex]t= 10.13s[/tex]