HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth

Answer:

The solution is 215/2

Step-by-step explanation:

2×21,5÷2/5

= 2×43/2×5/2

= 43/2×5

= 215/2

= 107 1/2

Answer:

226.224 cm^3

Step-by-step explanation:

Formula :

[tex]\pi r ^{2} h[/tex]

Pi = 3.142

[tex]\pi \times 3 ^{2} \times 8[/tex]

[tex] = 226.224cm ^{3} [/tex]

Answer:

f(5) = 21

Step-by-step explanation:

Given:

[tex]f(0)=1[/tex]

[tex]f(n)=f(n-1)+n+1[/tex]

[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]

[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]

[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]

[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]

[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

Given Equation :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

To Find :

Solution :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]

The two numbers are 2 and 11, so

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]

Finding common factors :

[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]

Whether, the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]

Or, Whether the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]

So,

Answer:

A) –11

D) 2

Step-by-step explanation:

Got it right on edge!

Equations of circles are typically organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

Plug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:

[tex](x-0)^2+(y-7)^2=9^2[/tex]

[tex]x^2+(y-7)^2=81[/tex]

[tex]x^2+(y-7)^2=81[/tex]

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

Answer:

(0,-4), (2,6), and (4, 16) are solutions to this equation.

Yes the point (-5,-29) is a solutions

Step-by-step explanation:

(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.

a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.

b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.

a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.

Let's choose three different values for x and calculate the corresponding y-values:

When x = 0: y = 5(0) - 4 = -4

So, the ordered pair is (0, -4).

When x = 2: y = 5(2) - 4 = 6

So, the ordered pair is (2, 6).

When x = -3: y = 5(-3) - 4 = -19

So, the ordered pair is (-3, -19).

b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.

Let's do the calculation:

y = 5(-5) - 4

y = -25 - 4

y = -29

Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.

To learn more about linear equation click on,

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Answer:

The answer is A

Step-by-step explanation:

An angle measure with an arc length equal to one radius length.

Given,

Radian.

Here,

Radian : An angle measure with an arc length equal to one radius length.

Radian is a measure of angle .

Degree measurements can be converted into radians.

For example,

30° = 30° × π/180°

30° = π/6

Thus radians can be converted into degrees by vice versa .

Know more about radians,

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Answer:

Step-by-step explanation:

10/7 x 9/8 = 90/56 = 45/28.

7/9 x 8/10 = 56/90 = 28/45

If you want to multiply these, the answer is (28*45) / 28/45) = 1.

Answer:

((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024

fraction: 7323689 / 6250000

decmal:1.17179024

Answer:

14000

Step-by-step explanation:

The number in the thousands place is 4 so we look at the number after it which is 2:

Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:

So our answer is 14000.

Answer:

14000

Step-by-step explanation:

Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").

Therefore, 14295.67 rounded to the nearest thousand is 14000.

I hope this helps! Have a lovely day!! :)

u²= s²+t²

= 4.3²+4.9²

= 42.5

u= V42.5

= V170 /2

≈6.52

Answer:

6.519 cm

Step-by-step explanation:

Mmkay, so, you have to use the Pythagorean Theorem to find the actual length, which is a^2 + b^2 = c^2

a = 4.9 cm

b = 4.3 cm

4.9^2 is 24.01

4.3^2 is 18.49

Now add the two together:

24.01 + 18.49 = 42.5

Finally, we need to find the square root of 42.5

sqrt(42.5) = 6.519 cm

(rounding to nearest thousandth cuz it said so right by the answer box lol)

Hope this helped :D

Answer:

y=6

Step-by-step explanation:

When you put the points on a plane, you can see it is a horizontal line, therefore the slope is 0

Remember that 0 times any other number is 0

So, instead of having y=0x+6 you can simplify the 0x and you have y=6

Answer: Answers are:

Step-by-step explanation:

Nate: Creativity

Lucy: Social skills

Marco: Organizational skills

OR

D , B, D

Answer

Nate: Creativity

Lucy: Social skills

Marco: Organizational skils

Step-by-step explanation:

Nate is creative lucy has social skills and marco has organiztional skills

The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

To calculate the percentage part of number, multiply it with the original number and divide with 100.

Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,

[tex]r=\dfrac{1}{45.897}[/tex]

Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,

[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]

The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,

[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]

Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Learn more about the percentage here;

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Answer:

The answer is 11/21 or 0.52 cubic units

Step-by-step explanation:

Now,

V = 4/3 × 22/7 × (1/2)³

V = 4/3 × 22/7 × 1/8

V = 1/3 × 11/7 × 1

V = 11/21 = 0.52 cubic units

Thus, The volume of sphere is 11/21 or 0.52 cubic units.

Answer:

n=5

Step-by-step explanation:

So I'm not sure how to write the equation, but i do know that each term has five added from the previous one, hope that help a little bit!

Answer:

8.2

Step-by-step explanation:

Number in the middle of the series = 18

Largest number = 28

Smallest number = 5

(18+28)/5

46/5

8.2

The required simplified solution of the given statement is 9.2.

Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2

Thus, the required simplified solution of the given statement is 9.2.

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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 :)

Have an amazing day!!

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Answer:

Option 3 (left object volume = right object volume)

For explanation:

The volume of a slanted cylinder is nothing but the same volume as the volume of the right circular cylinder of the same height

I hope my answer helps you.

Answer:

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

Step-by-step explanation:

…

Answer:

a

Step-by-step explanation:

sorry if it's wrong

Answer:

y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]

Step-by-step explanation:

4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y

y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]

Answer:

y = -5/4x + 1/4

Step-by-step explanation:

*Pependicular line have negative reciprocal slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

4x - 5y = 1 <== subtract 4x from both sides

-4x       -4x

-5y = -4x + 1 <== divide both sides by -5

/-5         /-5

y = 4/5x - 1/5

Find the Negative reciprocal of the line:

Steps:

1. Take your original slope (4/5)

2. Flip it (5/4)

3. Change the sign (-5/4)

The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)

We need to find the y-intercept (b) for the perpendicular line using (-3, 4):

y = -5/4x + b <== substitue -3 for x and 4 for y

4 = -5/4(-3) + b

4 = 15/4 + b <== multiplify both sides by 4

4(4 = 15/4 + b)

16 = 15 + 4b <== subtract 15 from both sides

-15  -15

1 = 4b <== divide both sides by 4

/4  /4

1/4 = b

y = -5/4x + b changes to y = -5/4x + 1/4

Hope this helps!

since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]

Answer:

f(-1)=2(-1)+5 = 3

f(2)=2(2)+5 = 9

f(0)=2(0)+5 = 5

2z+5