Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

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Answer:

True

Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference d between consecutive terms.

a₂ - a₁ = - 6 - 3 = - 9

a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9

a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9

There is a common diffence between consecutive terms, thus the sequence is arithmetic.

Answer:

9.21954445729

Step-by-step explanation:

A^2 + B^2 = C^2

7^2 = 6^2 = 85

The square root of 85 is...

9.21954445729

Answer:

32

Step-by-step explanation:

Answer:

(d) 1 / 2^8

this is the answer

both equations answers are kind of same, so (d) is the answer for your question

if this helped you please brainliest?

Answer:

A

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

y³ = 1.728x³

y = ³√1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

Two independent variables that can affect the cost of the supplies are:

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

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Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

Answer:

-4 AND 3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.

Answer:

Reflection

Step-by-step explanation:

Figure one was reflected accross the y axis to create figure two :)

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Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)

explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

Learn more about Volume here:
https://brainly.com/question/1578538

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Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.

It should be noted that health simply means the state of being free from illness or diseases.

In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.

Learn more about health on:

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Answer:

6(f-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you solve the highest common  factor first, then you can look for other factors.

Solution

6 = 2 * 3

12 = 2*2*3

The highest common factor is one 2 and one 3 making 6.

Use the distributive property to show what the 2 factors look like when the common factor is taken out.

6( f - 2)

Other factors.

You could take out just 1 factor like 2 or 3

2(3f - 6)

3(2f - 4)

Answer

I would submit 6(f - 2)

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

Answer:

x = 4.65 or x = -0.65 (to 2 d.p)

Step-by-step explanation:

To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c

To solve this:

x has 2 solutions

x = 2 + √7 or x = 2 - √7

x = 4.65 or x = -0.65 (to 2 d.p)

Hope this helps!

Answer:

x = 4 ± 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x - 32 = 0 ( add 32 to both sides )

x² - 8x = 32

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 32 + 16

(x - 4)² = 48 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± 4[tex]\sqrt{3}[/tex]

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

Read more about range at:

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Answer:

The function is even

good luck

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

4+7+4+7=22

Answer:

4x - 5

Step-by-step explanation:

To make this 2 terms, we'll have to first identify if we have to distribute anything.

Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.

[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.

Then, combine like terms:

2x - 5 + 2x = 4x - 5.

Remember, the coefficient always goes before the constant.

Your answer should be 4x - 5.

Answer:

5/4

Step-by-step explanation:

Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.

The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

From the question, we have the following parameters:

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Assume that the similar circle has the following parameters:

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

Read more about circle equations at:

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Answer: 126

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8