Find the length of the hypotenuse in each right triangle. Round to the nearest tenth, if necessary

12.1 ft
14.7 ft
245 ft
15.7 ft

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

Answer:

[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]484=\pi d[/tex]

[tex]\frac{484}{\pi } =d[/tex]

[tex]d=154.06198[/tex]

[tex]A=\pi r^2[/tex]

[tex]\pi (\frac{d}{2}) ^2[/tex]

[tex]\pi (\frac{154.06198}{2}) ^2[/tex]

[tex]A=18641.49898[/tex]

Answer:

The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.

Step-by-step explanation:

Area=πr2

Circumference=2πr

Solving for Area

Area= C²/4 π = 484²/4·π ≈ 18641.50017

———————————————————————————

Circumference =2πr

Diameter= πr

Solving for Diameter

Diameter= C/π = 484/π≈ 154.06198

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer

Step-by-step explanation:

Answer: It is B have a nice day

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :

[tex]95\% = \frac{95}{100} = 0.95[/tex]

Next, you have to multiply by the total number of questions :

[tex]0.95 \times 80 = 76 \: questions[/tex]

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

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Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

Answer:

Simplify the expression.

i could not type in exponent so just open the screen shot

Step-by-step explanation:

i Hope it works

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The solution to the compound inequality [tex]85 < 17m < 136[/tex].

Now,divide both sides by [tex]17[/tex].

[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

To know more about the inequality

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Answer:

The surface area of the pyramid is 208 units²

Step-by-step explanation:

Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.

First, the base:

Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.

Second, one of the triangles:

To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...

Finally, add them all together:

Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:

64 + 36 + 36 + 36 + 36

After doing some simplifying, we get our final number, 208.

The surface area of the pyramid is 208 units²

The surface area of the regular pyramid in the diagram is 208 units².

The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.

Surface area of the pyramid = 2bh + b²

Where b is the base

and h is the perpendicular height of each triangular faces

In the given diagram,

b = 8

h = 9

∴ Surface area of the pyramid = 2×8×9 + 8²

Surface area of the pyramid =  144 + 64

Surface area of the pyramid = 208 units²

Hence, the surface area of the regular pyramid in the diagram is 208 units².

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Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

Answer: 1st is reflexive

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

Answer: D

The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

[tex]4(2x + 14) = 0[/tex]

[tex]8x+56 = 0[/tex]

[tex]8x=-56[/tex]

[tex]x=-56 \div 8[/tex]

[tex]x=-7[/tex]

Answer:4(2x+14)=0

8x+56=0

8x=-56

x=-7

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]1 \times 10^{-4} \times 4 \times 10^{4}[/tex]

[tex]4 \times 1 \times 10^{-4} \times 10^{4}[/tex]

[tex]4 \times 10^{-4+4}[/tex]

[tex]4 \times 10^{0}[/tex]

[tex]4[/tex]

Answer:

4 x 10^0

Step-by-step explanation: That is the correct answer on khan academy

Answer:

The answer is A and D.

Step-by-step explanation:

Acute angles are angles that are less than 90°.

0° < θ < 90°.

So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

Answer:

the vertex is (4,-1)

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

Answer:

36 units³

Step-by-step explanation:

To find the volume of a prism, you must multiply the base times the height. 4×9=36.

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

_________________________________

Solution,

f(X)= -2x+2

f(6)= -2*6+2

= -12+2

= -10

So the right answer is -10.

hope it helps

Good luck on your assignment

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