find the value of trig function indicated, use Pythagorean theorem to find the third side if you need it. Part 4​

Find The Value Of Trig Function Indicated, Use Pythagorean Theorem To Find The Third Side If You Need

Answers

Answer 1

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Find The Value Of Trig Function Indicated, Use Pythagorean Theorem To Find The Third Side If You Need

Related Questions

A chocolate brownie recipe is as follows 200g chocolate ,4eggs 60g flour, 60g cocoa, 100g butter, 250g sugar trhe recipe make 24 brownies sarah is making 96 brownies for the village faire how much cocoa does she need

Answers

Answer:

240g of cocoa

Step-by-step explanation:

96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.

If the 6th terre
an Alis 11 and the first term is 1
find the common difference

Answers

Answer:

6th term = 11

1st term = 1

d = 11 - 1/5 = 2

A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *

Answers

Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : [tex]N(t)=N_0(1-r)^t[/tex]

[tex]N_0[/tex]=Initial population

N(t)= Population after t hours

r = rate of decrease = 18% = 0.18

t = time = 48 hours

So,the  strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]

Hence 3 strain would still alive after 48 hours

I need help please :((

Answers

Answer:

Function, passes the vertical line test

Step-by-step explanation:

The graph is a function.  The points have a one to one correspondences as demonstrated by the vertical line test.  Since only one point on the graph  is  touching a vertical line  at a time, it will pass the vertical line test

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Answers

Answer:

is greater than

Step-by-step explanation:

The answer is C less than we got it wrong

Step-by-step explanation:

The product of Chau's height and 5 is 70.

Answers

Answer: 14

Step-by-step explanation: chau's height = x

x * 5 =70

5x = 70

x = 70/5

x = 14

what is the output value for the following function if the input value is 1?
y=3x + 1

Answers

Answer:

The output value is 4

Step-by-step explanation:

The output value is the y value, so y=3(1)+1

y=3+1

y=4

Simplify (x-5)-(x-1)

Answers

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the ratio of saturated fats to total fat in an ounce of cheese.

Group of answer choices

6:9

2:3

3:2

9:6

Answers

Answer: 6:9

Just divide  saturatedfats/TotalFats=6/9

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

3

Step-by-step explanation:

These are similar triangle

We can use ratios to solve

12         12+4

------ = ----------

9         9+DC

Using cross products

12( 9+DC) = 9*(12+4)

12 (9+DC) = 9*16

Divide each side by 12

12/12 (9+DC) = 9*16/12

9+DC = 12

Subtract 9 from each side

9+DC-9 =12-9

DC =3

Answer:

3 units

Step-by-step explanation:

We can see that triangle ADE is similar to triangle ACB.

Therefore the ratios of the lengths of their sides must be equal.

We can write AD/AC = AE/AB

we are given AD = 9, AE = 12 and AB = 12 + 4 = 16

Substituting the above values into the equation:

AD/AC = AE/AB

9 / AC = 12/16  (rearranging)

(AC)(12) = (9)(16)

AC = (9)(16)/12

AC = 12

We can also see that

DC = AC - AD

DC = 12 - 9

DC = 3 units

Determine the smallest integer that makes -3x + 7 - 5x < 15 true.

State the smallest possible value for x in the solution set below as a number only.

Answers

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

Learn more about Inequalities here :

https://brainly.com/question/26855203

#SPJ2

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer is 2 °C
-1 + 3 = 2

how do I solve: 8 – (m - 3) = 7 – 3m​

Answers

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

(15 POINTS AND BRAINLIEST)

A health club has a one time membership fee of $99, then charges $15 per month for members.

a) Write an equation in slope-intercept form for the cost y of joining the club
for x months.


b) How much has Muscular Marty paid if he has been a member for one year?

Answers

Answer:

a) The line will be y = 15x + 99 because the 99 is a one time purchase.

b) After 1 year, x will be 12 so Muscular Marty will pay 15 * 12 + 99 = $279.

Answer:

a) y = 99 + 15x

b) 279

Step-by-step explanation:

b) 1 yr = 12 months

thus x is 12

y = 99 + 15(12) = 99 + 180 = 279

wegnerkolmp2741o plz help me only wegnerkolmp2741o

Answers

Answer:

1. Triangular prism

5 faces6 vertices9 edges

2. Trapezoidal prism

6 faces8 vertices12 edges

3. Pentagonal prism

7 faces10 vertices15 edges

4. Hexagonal prism

8 faces12 vertices18 edges

This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.

Answers

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume

Answers

See attachment below

Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?

Answers

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms

Answers

Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

Find the volume of the prism
pls!! show how you got the volume ​

Answers

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

Cam bounces a ball 2.528 feet in front of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
f(x)= -(x-7)^2+20

Assuming that Cam's feet located at the origin, (0,0), what is the maximum height of the ball in (feet)?​

Answers

Answer:

20 feet

Step-by-step explanation:

Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!

Answer:  20 feet

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex

h is the axis of symmetry (time at which maximum height is reached)

k is the maximum height

Given: y = -(x - 7)² + 20

--> h = 7, k = 20

therefore, the maximum height of the ball is 20

9y + 6 + 2(5 + y) = blank y + blank

Answers

Answer:

11y+16

Solution,

[tex]9y + 6 + 2(5 + y) \\ = 9y + 6 + 10 + 2y \\ combine \: like \: terms \\ = 9y + 2y + 6 + 10 \\ simplify \\ = 11y + 16[/tex]

hope this helps...

Good luck on your assignment..

Answer:

11y+16

Step-by-step explanation:

9y+6+2(5+y)=

9y+6+10+2y=

Combine like terms

11y+6+10=

11y+16

Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°

Answers

Answer:

The answer is "70°"

Step-by-step explanation:

In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:  

Given:

ABC is the right triangle.

Find B=?

Solution:

[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}= .941[/tex]

[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]

Answer:

70

Step-by-step explanation:

What is the best approximate of the square root of 50

Answers

Answer:7

Step-by-step explanation:

7^2 = 49 (or square root of 49 is 7)

8^2 = 64 (or square root of 64 is 8)

Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. ​ ​To the nearest foot, what is the distance Kimmy walks to school each day?

Answers

Answer:

1342 feet

Step-by-step explanation:

Kimmy's house is located at (8, 4)

The school entrance is located at (-4, -2).

To find the distance Kimmy walks to school every day, we use the Distance formula:

[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]

[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]

Solve the following quadratic equation.
(x - 16)^2 = 256

A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0

Answers

The answer is D. x = 32 and x = 0

Answer: D. x = 32 and x = 0

============================================================

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM

THXXSSSS AND HURRY PLS

Answers

Answer:

108m^2

Step-by-step explanation:

surface area of any shape: sum of the area of its sides.

area of cross section x 2 = 4 x 3 12 m^2

area of slope:  5m x 8m = 40m^2

area of base: 8 X 3 = 24 m^2

area of back: 8m x 4m = 32m^2

sum = surface area = 108m^2

Please mark brainiest

PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12

Answers

Answer:

-1/2x<-12

Multiply through by 2

-x < -24

Multiply through by -1

x > 24

Hope this helps.

Solve 4x -1 = 3x – 5 pls answer

Answers

Answer:

[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Equation:  [tex]4x - 1 = 3x - 5[/tex]

Solve for:

[tex]x[/tex]

Solution:

Step 1: Select relevant approach:

Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]

Step 2: Perform the calculation:

       [tex]4x - 1 = 3x - 5[/tex]

Moving components:

<=>  [tex]4x - 3x = 1 - 5[/tex]

Performing simplification to get [tex]x[/tex]

<=>[tex]x = -4[/tex]

Hope this helps!

:)

Are the ratios 5:15 and 1:3 equivalent

Answers

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Yes, both of them are equivalent.
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