Write an equation to determine the unknown side. Then solve the equation. Simplify your answer. Round to the nearest tenth, if necessary.

Show your work.

A right triangle is shown. The hypotenuse is labeled 12, one leg is labeled 4, and the other leg is labeled x.

Answers

Answer 1
Use the Pythagorean theorem, x=11.3
Write An Equation To Determine The Unknown Side. Then Solve The Equation. Simplify Your Answer. Round

Related Questions

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Write a proportion you can use to find the number of boys.

Answers

Answer:

If the first proportion is 3 to 5

We can add a second proportion can be found by ✖ both number by any other numbers

Like multiply. By 2.we get

[tex]6 \: to \: 15[/tex]

Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. calculate korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5% please select the best answer from the choices provided a b c d

Answers

Answer:

76.3%

Step-by-step explanation:

If  korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%

Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.

We need to find the korey’s gross profit margin

The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.

we can calculate Korey's gross profit margin as:

(Gross Profit / Net Sales) x 100%

= (3320 / 4350) x 100%

= 76.32%

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Select the graph that represents h = -16t^2+ 80.

Answers

Answer:

None

Step-by-step explanation:

the slope has t to second power. So, the graph needs to be a parabola. Means second one is wrong.The slope is negative so the parabola is downward facing, so third one is wrong. When you plug in 0 for t, y becomes 80, so (0,80) point needs to be along the line. So first and second are wrong.

If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.

Please help i will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class

ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must be
B. must not be
C. may or may
not be

Answers

Answer:

C.

Explanation:

If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!

Answer:

it must not be a parallelogram because it's angle is not supplementary

One of the legs of a right triangle measures 5 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

⚠ANSWER♨

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

...hope this helps...

_♡_mashi_♡_

If f(x) = 2x^3 +6x^2+2x - 10 and f(1) = 0, then find all of the zeros of f(x) algebraically.

Answers

Answer:

[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

Step-by-step explanation:

We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]

And we want to find all zeros of f algebraically.

Since f(1) = 0, then (x - 1) is a zero of f.

We can hence factor by synthetic division:

[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]

Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]

Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

what is the diameter of a sphere with a volume of 6329 ft^3 to the nearest tenth of a foot

Answers

Answer:

22.9

Step-by-step explanation:

( just look up "diameter of a sphere caculator")

What is the volume?? 23pts

Answers

Answer:

96π mm^3

Step-by-step explanation:

πr^2*h = formula

π4^2*6 = 16π(6) = 96π mm^3

Answer:

[tex]\Longrightarrow: \boxed{\sf{96\pi }}[/tex]

Step-by-step explanation:

You must use the volume of this cylinder formula to solve the volume of this cylinder.

Volume of this cylinder formula:

[tex]\Longrightarrow: \sf{\pi r^2*h}[/tex]

R² =4²mmH (height) =6mm

[tex]\Longrightarrow\sf{\pi 4^2*6}[/tex]

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

First, solve exponents.

4²=4*4=16

16*6

Multiply.

16*6=96

[tex]\Longrightarrow: \boxed{\sf{96\pi}}[/tex]

Therefore, the correct answer is C. 96π.

I hope this helps! Let me know if you have any questions.

I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. x² - 16x = -12

2. x² - 16x + 64 = -12 + 64

3. (x - 8)² = 52

4. x - 8 = ± √52

5. x = 8 ± √52

6. x = 8 ± 2√13

Step-by-step explanation:

1. Move the constant to the other side of the equation:

x² - 16x +12-12 = 0-12

x² - 16x = -12

2. Find the new value of c by using the formula [tex](\frac{b}{2} )^{2}[/tex]

[tex](\frac{-16}{2} )^{2}\\\\(-8)^{2} \\\\c =64[/tex]

3. Plug the new value of c into the equation. Make sure to add it to both sides of the equation, because if you do something to one side, you must do it to the other:

x² - 16x + 64 = -12 + 64

x² - 16x + 64 = 52

4. Form a perfect sqaure by factoring -16 and 64 by figuring out two numbers that have a sum of -16 and a product of 64:

-8 + (-8) = -16
-8 · (-8) = 64

(x - 8)²

Plugging this into the equation:

(x - 8)² = 52

5. Take the square root of both sides:

√(x - 8)² = √52

x - 8 = √52

6. Isolate x:

x - 8+8 = 2√52+8

x = 8 ± 2√52

52 can be squared, so:

x = 8 ± 2√13

hope this helps!

We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!

Answers

Answer:

I think this is the right answer.

Step-by-step explanation:

Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.

LOCKS IN 10 MIN! WILL GIVE BRAINLEST!

Answers

Answer:

0.952

Step-by-step explanation:

Given :

opposite side of 80 inchesadjacent side of 84 incheshypotenuse of 116 inches

Solving :

tan(θ) = opposite / adjacenttan(θ) = 80/84 = 20/21tan(θ) = 0.952

Answer:

4th option

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )

please help with this math problem. ​

Answers

Answer: C

Step-by-step explanation:


help please for questions 1-6:)

Answers

Answer:

Actually, I am not sure about the Ans of 6 no.

please mark me brilliant

what is the soultion to the linear system y=2x and y=x+4

Answers

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

Using the net below, find the surface area
of the pyramid.
9\cm
13 cm
m 3 cm
.
Surface Area =
[?] cm2

Answers

Refer to attachment for your answer

Shawheen puts the cost of a weekend trip⁠

Answers

Answer:

I need a problem

Step-by-step explanation:

Please fix your question

please help to solve this ​

Answers

Step-by-step explanation:

I think it will help you.

The image above will help you

HELP QUICK PLS ! A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 2 cm 11 cm​

Answers

Answer:

77 - 8pi cm

Step-by-step explanation:

Area of Circle = 2pi*r^2 = 8pi cm

Area of rectangle = 7 X 11 = 77cm

Area of shaded region = 77cm - 8pi cm

Answer:

89.6^2 - hope this helped :)

Step-by-step explanation:

area of rectangle = 7 x 11 = 77 cm^2

area of circle = 2 x 2 x 3.14 = 12.56^ 2

all together = 89.56

rounded up = 89.6 cm^2

Lines j and k are parallel and intersected by line e. What is the value of x?

Answers

Answer:

x = 38

Step-by-step explanation:

We can set both angles equal to 180° since they are same side interior angles;

(2x - 10)° + 3x° = 180°

5x - 10° = 180°

5x = 190°

x = 38

Hope this helps!

4,200 is deposited into a savings account that earns 4.5% simple interest for 6 years

Answers

Answer:

7620

Step-by-step explanation:

A = P(1 + rt)

A = 6000(1 + (0.045 × 6)) = 7620

calculatorsoup

is 11/2 greater, less or equal to 6/1

Answers

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

The circumference of a circle is 141.3 inches. What is the radius? Use 3.14 for /pi

Answers

Answer:

22.5

Step-by-step explanation:

Radius = Circumference / (2*PI 3.14) = 22.5

How many hours of work are included in a $190 bill for a book project?

Answers

Answer:

C. [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

\$190 includes flat \$25 of editing charges.

->Charges of work on book project

= $190 - $25 = $165

Per hour charges = $30 (given)

No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]


What data are represented by the stem-and-leaf
plot below

Answers

Answer: A. = 37,38,39,41,43,47,52,54

Step-by-step explanation:

The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)

Therefore, we find a chronological list of numbers, such as:

37,38,39,41,43,47,52,54

This list is the answer Choice of A.

Hope this Helped!

Suppose ABCD is a rectangle, F and G are points on





DC





such that





DF = GC, and





A(F) ∩ BG = E. Prove that DE = CE.






(I had to put parentheses around the F or else Brainly would think I'm swearing, just so you know. )

Answers

The two sides are equal and for that reason DE = CE as shown below :

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

Description of rectangle

Now we all know that a rectangle has four edges which are A, B, C, D.

when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )

From the question we know that DF = GC

E is the intersection of A(F) and BG

we can now Prove that DE = CE.

since D and C are point included in E and since this is a rectangle

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

DE = CE

We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE

Learn more about Rectangle : brainly.com/question/22148953

A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height changed over the month. What type of display should she use? Explain.

Answers

Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

What is scatter plot?

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

Learn more about scatter plot here

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11 The two trapezoids shown below are
similar.
6 cm
120°
T
120°
10 cm
60°
W
80°
60°
16 cm
What is the length in centimeters of WT?
A 10 cm
B 3.8 cm
C 12 cm
D 9.6 cm

Answers

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

if you know the answer lmk!!

Answers

Answer:

32.370705543744904

Step-by-step explanation:

Find the surface area of the cylinder

Answers

[tex]\bold{FULL ANSWERS:}[/tex]
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