I need help I'm stuck on this

I Need Help I'm Stuck On This

Answers

Answer 1

a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

Trigonometry

From the question, we are to determine the length of p

From the Pythagorean theorem, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

b)

Measure of angle P

Using SOH CAH TOA

[tex]cos P= \frac{21}{30}[/tex]

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

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Related Questions

I think of a number. i add 7 to it and then divide by 10. my answer is 3.8. what number did i start with

Answers

Answer:

31

Step by step:

You need to do it in reverse:

Devidng Becomes multiplying so its 3.8x10=38

Then same for this + = - do its 38-7=31

So answer is 31

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by where the measurements are in meters. What is the width of the cooling tower at the base of the structure

Answers

The width of the cooling tower is 36 meters.

What is a cooling tower?

A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.

Now we can model the system using;  x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;

2 × ✓324

= 2 × 18

= 36 meters

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Missing parts;

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters

48 meters

80 meters

89 meters

A sphere of radius 222 inches is cut by three planes passing through its center. This partitions the solid into 888 equal parts, one of which is shown above. The volume of each part is t\pitπt, pi cubic inches. What is the value of ttt?

Answers

The value of t based on the information about the sphere is 1.3π.

How to calculate the value?

It should be noted that the volume of a sphere is 4/3πr³. In this case, it's divided into 8 equal parts.

Volume of each part = 1/8 × 4/3πr³

= 1/8 × 4/3 × π × 8

= 4/3π

= 1.3πin³

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the vertices of abc are a (-6,-7) b(-3,-10) and c(-5,2) find the vertices of abc given the transition rule (x,y)-->(x,y-3)

Answers

The vertices of abc given the transition rule (x,y)-->(x,y-3) are (-6, -10), (-3, -13) and (-5, -1)

How to determine the new vertices?

The vertices are given as:

a (-6,-7)

b(-3,-10)

c(-5,2)

The transition rule is given as

(x,y)-->(x,y-3)

So, we have

a' = (-6, -7 - 3)

a' = (-6, -10)

b' = (-3, -10 - 3)

b' = (-3, -13)

c' = (-5, 2 - 3)

c' = (-5, -1)

Hence, the vertices of abc given the transition rule (x,y)-->(x,y-3) are (-6, -10), (-3, -13) and (-5, -1)

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What is the range of the following set of ordered pairs?
{(-1,7), (6,2), (0,4), (5,2), (-3,1)}
O a. {7,2,4,1}
b.
O c.
O d.
{-1,6, 0, 5, -3}
{-1, -3, 1, 7,6}
{2, 0, 4, 5)

Answers

Answer:

range of the given set is { 7,2,4,2,1}

Step-by-step explanation:

. Hello !

When the above kind of set is given the second values of each elements belongs to the range or the y whereas, the first values of the elements belongs to the domain or x.

Thus, domain = {-1,6,0,5,-3}range ={7,2,4,2,1}

Answer is 7,2,4,1 is the set of ordered pairs

The volume of this cylinder is 7500cm3.
find the missing length x.
give your answer rounded to 1 dp.

Answers

V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...

Missing: 7500m ‎Give ‎SF.

In the case of a hollow cylinder, we measure two radii, one for the inner circle and one for the outer circle formed by the base of a hollow cylinder. Suppose, r1 and r2 are the two radii of the given hollow cylinder with 'has the height, then the volume of this cylinder can be written as; V = πh(r12 – r22).

To find the volume of a box, simply multiply the length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.

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Solve the system of equations using substitution. 6x=−6y−30−3x−3y=15

Answers

The system of equation have an infinite solution.

How to solve system of equation?

6x   = -6y - 30

-3x -3y = 15

Therefore, let's rearrange the system of equations.

6x + 6y = -30

-3x - 3y = 15

multiply equation(ii) by 2

6x + 6y = -30

-6x - 6y = 30

add the equations

0 = 0

Since 0 = 0 for any value of x, the system of equations has infinite solutions.

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Given that DRWH is a parallelogram, determine the values of x and y.

Answers

Answer:

the opposite sides of the parallelogram are equal.

so DR = HW mean : 2 y + 2 = 3 y - 9

3y - 2y = 9+2

y = 11

RW = y+4 = 11+4 = 15

DH = RW

so, 3 x + 6 = 15

3x = 15-6 = 9

x = 3

If im trying to get 20 million dollars and i get 300$ per second how long will it take to reach my goal

Answers

Answer:

66666.66 seconds, or 1111.12 minutes

Step-by-step explanation:

Since you are earning 300 dollars per second, and you want to earn 20 million, or 20000000 dollars, you can divide 20 million by 300 to get the time it takes to reach your goal in terms of seconds:

[tex]\frac{20000000}{300}=66666.66[/tex] seconds

It will take you approximately 66667 seconds to reach your goal. If we divide by 60 to get this in terms of minutes, we get that it takes about 1111.12 minutes

Answer:

66.666.6 seconds

1,111.11 minutes

18.518518518499999 hours

Step-by-step explanation:

20,000,000÷300

=66,666.6666666

Change in minutes= 66,666.6666666÷60 =1,111.1111111

Change in hours= 1,111.11111111÷60=18.518518518499999

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

[tex]G(x) = x^{3} -1[/tex]

Step-by-step explanation:

The red graph is the blue graph translated 1 unit down, so the answer is A.

On a typical day, brianne uses her computer for 3 hours and her hair dryer for 10 minutes. what is the total cost of using both appliances for 6 days?

Answers

The  total cost of using both appliances for 6 days is about 3000-4000 watt.

According to the statement

Brianne uses her computer for 3 hours

Brianne uses hair dryer for 10 minutes

Now we use the formula

C = wtc/1000

substitute the values in it

then

C = 600*6/1000

C = 3.6

and same for hair dryer

So, The  total cost of using both appliances for 6 days is about 3000-4000 watt.

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this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any help would be greatly appreciated

Answers

Answer:

volume = 3549.203

Step-by-step explanation:

you need to subtract the volume of the cylinder from the volume of the box

cylinder:

[tex]vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi[/tex]

box:

[tex]vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120[/tex]

subtract:

[tex]5120-500\pi =3549.203[/tex]

Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 runs. In the last 444 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs.
Write an inequality to determine the number of runs per inning, ppp, Kim's team could have scored.
Find the minimum whole number of runs per inning Kim's team could have scored.

Answers

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

How to write an Inequality?

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

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Answer:

6+4p> 17
3

Step-by-step explanation:

What quadrant does the terminal side of this angle lie in?
A) Quadrant III
B) Quadrant II
OC) Quadrant IV
OD) Quadrant I

Answers

Answer:

Quadrant III

Step-by-step explanation:

Top-right quadrant = QI

Top-left quadrant = QII

Bottom-left quadrant = QIII

Bottom-right quadrant = QIV

The binomial 5x – 4 is a factor of 10x^2 – 23x + 12. What is the other factor?

Answers

Answer:

2x - 3

Step-by-step explanation:

10x²-23x+ 12 ÷ 5x-4

Answer:

2x - 3

Step-by-step explanation:

[tex](5x-4)(2x-3)=10x^{2} -23x+12[/tex]

Hope this helps

determine whether the following pairs of line will be parallel perpendicular or neither x=y ;x=y+1​

Answers

Answer:

parallel because they have the same slope

Step-by-step explanation:

x =x=x, equals
^\circ

Answers

Answer:

x = 25°

Step-by-step explanation:

Hello!

25° and x° are vertical angles, therefore they are equal to each other.

Vertical angles are angles formed by two intersecting lines that are non-adjacent.

The angle to the right of 80° would be 55°, because the sum of angles on a line is 180°.

Angle x would be 25° because the other straight line contains angles 80°, 50° and x°.

Factor this polynomial.
-3x²-5x-2

A. (-3x+2)(x+1)

B. (3x-2)(x-1)

C. (3x+2)(x-1)

D. -1(3x+2)(x+1)

Answers

Answer: D. -1(3x+2)(x+1)

Step-by-step explanation: First, use the F.O.I.L. method (First, Outer, Inner, Last). Then combine all your like terms. After, multiply the whole outcome by negative one. So, 3[tex]x^{2}[/tex] turns into -3[tex]x^{2}[/tex]; 5x turns into -5x; and 2 is -2. BOOM! you got the exact right answer.

How does the volume of a cylinder with a radius of 4 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 8 units x 8 units x 6 units

Answers

Answer:

The volume of the cylinder is smaller than the rectangular prism.

Step-by-step explanation:

what is the product of the fraction below x/x-5 * 2x/x+4

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{x}{x-5}[/tex] × [tex]\frac{2x}{x+4}[/tex] ( no factors cancel on numerator/ denominator )

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

= [tex]\frac{2x^2}{x^2-x-20}[/tex]

CALLING ALL EXPERTS PLS ILL GIVE BRAINLIEST
On Monday, Gian spent 5 minutes watching videos. On Tuesday, he spent 25 minutes watching videos. Place points on the graph to show Gian's activity for Monday and Tuesday.

Answers

On Monday morning 25

Mike and hallie are going to a movie. together they bring $60 in cash. hallie brings three times as much cash as mike does. let m be the amount of money mike brings and let h be the amount of money hallie brings. create a system of equations that models the information given in this problem and solve it to determine how much each brought to the movie.

Answers

Mike brought $15 and Hallie brought $45 to the movie

There are many ways to define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

The value of the variable that makes the equation a true statement is the solution to the equation.

We have to find how much money Mike and Hallie brought to the movie.

Let the money Brought by Mike be $ m and by Hallie be $ h.

Mike and hallie are going to a movie. together they bring $60 in cash

m + h = $ 60.............(1)

Hallie brings three times as much cash as mike does

h = 3 m.......... (2)

Pur the value of h from equation (2) in equation (1)

m + 3 m = $ 60

4 m = $ 60

m = $ 60/4

m = $ 15

put this value of m in equation (2)

h = 3(15)

h = $ 45

Hence we created a system of equations that models the information given in this problem and Mike brought $15 and Hallie brought $45 to the movie

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22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
0 0
103"
98
109⁰
110"
18
17
19 20
14
16
13
15
11
10
12
9
63
5
m

Answers

Answer: [tex]110^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle 20=62^{\circ}[/tex] (linear pair)

[tex]m\angle 11=70^{\circ}[/tex] (angle sum in a triangle)

[tex]m\angle 12=110^{\circ}[/tex] (linear pair)

A state license plate consists of three letters followed by three digits. If repetition is allowed, how many different license plates are possible

Answers

A state license plate consists of three letters followed by three digits. If repetition is allowed, the number of different ways in which license plates are possible is 17,576,000.

What is a permutation?

An arrangement of items in a specific order is referred to as a permutation. When the order of the arrangements counts, it is a mathematical technique that establishes the total number of alternative arrangements in a collection.

Calculation for the permutation -

Three letters are followed by three digits on a state license plate.

26 letters from a to z and 10 numbers from 0 to 9 make up the alphabet.

The potential of arrangements is due to the license plate's composition of three letters and three numerals.

Total ways = 26×26×26×10×10×10

                  = 17,576,000

Therefore, the number of different ways in which license plates are possible is 17,576,000.

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2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?

Answers

Se calcula que la aceleración es - 8,35 m/s.

¿Qué es la aceleración?

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

 a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

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If I start with the number 7 and count by 4s, the following sequence is obtained: 7, 11, 15, 19, 23, and so forth. A new sequence is formed when I start with a different number and count by a different number. Suppose the 2nd number of the new sequence is 8 and the 5th number is 17. What is the 10th number of the new sequence

Answers

Answer:

a₁₀ = 32

Step-by-step explanation:

the sequence is arithmetic since there is a count on , a common difference

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₂ = 8 and a₅ = 17 , then

a₁ + d = 8 → (1)

a₁ + 4d = 17 → (2)

subtract (1) from (2) term by term to eliminate a₁

3d = 9 ( divide both sides by 3 )

d = 3

substitute d = 3 into (1)

a₁ + 3 = 8 ( subtract 3 from both sides )

a₁ = 5

Then

a₁₀ = 5 + (9 × 3) = 5 + 27 = 32

From points a and b on level ground the angles of elevation of the top of a building are 25degree and 37 degree respectively. if [ab] =57m, calculate to the nearest metre, the distances of the top of the building from a and b if they are both on the same side of the building

Answers

The distance of the top of the building from a is 163m and that from b is 115m .

Calculating the Perpendicular Distance of the Top From Ground

It is given that the angle of elevations of the building top from a and b are 25° and 37° respectively.

ab = 57m

Let the top of the building be point c and the distance between the building and the point b be x. Then, from the figure, we can deduce the following,

In Δacd, tan 25° = cd/ad

⇒ 0.4663 = cd /(x+57)

⇒ cd = 0.4663(x+57)             ......................... (1)

In Δbcd, tan 37° = cd/x

⇒ 0.7536 = cd/x

⇒ x =cd / 0.7536                   .......................... (2)

Solving for the Distance cd

Substitute the value of in equation (2) to equation (1) to get,

cd = 0.4663 ((cd/0.7536)+57)

cd = 0.4663(cd+42.9552)/0.7536

0.7536cd = 0.4663cd + 20.03

0.7536cd - 0.4663cd = 20.03

0.2906cd = 20.03

cd = 20.03/0.2906

Thus, the distance cd ≈ 68.93m

Finding the Distance cb and Distance ca

In Δacd, sin25° = cd/ca

⇒ 0.4226 = 68.93/ca

ca = 68.93/0.4226

ca = 163.10

∴ The distance ca ≈ 163m

Similarly, in Δbcd, sin37° = cd/cb

⇒ 0.6018 = 68.93/cb

cb = 68.93/0.6018

cb =114.54m

∴ The distance cb ≈ 115m

Therefore, the points a and b are at a distance of 163m and 115m respectively from the top of the building.  

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Consider the graph of the function f(x)=2^x which statements describe key features of function g if g(x)=3f(x)?
it's multiple choice, select all the correct answers:

y-intercept at (0,1)
y-intercept at (0,3)
horizontal asymptote of y=3
x-intercept at (3,0)
horizontal asymptote of y=0
no x-intercept

Answers

Answer:

y-intercept at (0,3)horizontal asymptote of y=0no x-intercept

Step-by-step explanation:

The y-intercept of f(x) is (0,1), so the y-intercept of g(x) is (0,3).

f(x) has a horizontal asymptote at y=0. and so does g(x).

f(x) does not have an x-intercept, and neither does g(x).

Answer:

y-intercept at (0, 3)

horizontal asymptote of y = 0

no x-intercept

Step-by-step explanation:

Definitions

y-intercept: the point(s) at which the curve crosses the y-axis (when x=0).

x-intercept: the point(s) at which the curve crosses the x-axis (when y=0).

Asymptote: a line that the curve gets infinitely close to, but never touches.

Given function:

[tex]f(x)=2^x[/tex]

Properties of function f(x):

y-intercept at (0, 1)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞

[tex]\textsf{If }g(x)=3f(x):[/tex]

[tex]\implies g(x)=3(2)^x[/tex]

Properties of function g(x):

y-intercept at (0, 3)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞

Therefore the true statements are:

y-intercept at (0, 3)horizontal asymptote of y = 0no x-intercept

Write the equation of the line that is parallel to the line y = -7/4x - 2 through the point (4,-2).

Answers

Answer:

y = - [tex]\frac{7}{4}[/tex] x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{7}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = - [tex]\frac{7}{4}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{7}{4}[/tex] x + c ← is the partial equation

to find c substitute (4, - 2 ) into the partial equation

- 2 = - 7 + c ⇒ c = - 2 + 7 = 5

y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line

9. shyam travelled 8 km 52 m by bus, 2 km 265 m by car. how much distance did he travel in all

Answers

Shyam travel total  [tex]10km 317m[/tex]  distance ,when he travelled  [tex]8 km 52 m[/tex]  by bus and [tex]2 km 265 m[/tex]  by car .

How to find the total distance travel by Shyam ?

Shyam travelled distance by bus [tex]=8 km 52 m[/tex]

Shyam travelled distance by car [tex]=2 km 265 m[/tex]

Total distance travelled by shyam is

Total distance= distance travelled by car + distance travelled by bus

Total distance

[tex]=2 km 265 m+8 km 52 m\\=(2+8)km(265+52)m\\=10km317m[/tex]

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