POR is a right-angled triangle.
13 cm
5 cm
12 cm
Work out the size of angle POR.
Give your answer correct to 1 decimal place.
+ +
1
Total marks: 3

Answers

Answer 1

Answer:

As 3-4-5     5-12-13 is a right triangle

5^2 + 12^2 = 25 * 144 = 169 = 13^2

Not sure how POR is designated, but

cos theta = 12/13 = .923    theta = 22.6 deg

sin theta = 5/13 = .385   theta = 22.6 deg


Related Questions

Let f(x) = 5x2 – 4x and g(x) = 5x + 1.

Find f – g.

Answers

Answer:

[tex]5x^2-9x-1[/tex]

Step-by-step explanation:

f - g

[tex]=5x^2-4x -(5x+1)\\\\=5x^2-4x-5x-1\\\\=5x^2-9x-1[/tex]

Not to sure but
5x^2 -9x - 1

How do you solve for x in this using trignometric ratios

Answers

Answer:

[tex]x= 23.775.[/tex]

Step-by-step explanation:

[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]

I REALLY NEED HELP, PLEASE!

EXPLAINING UR ANSWER = BRAINLIEST

A prism with volume 7750 cm³ is dilated by a factor of 1/5.

The volume of the dilated prism is ___ cubic centimeters.

Answers

Answer:

1550m^3

Step-by-step explanation:

Volume of the prism= 7750m^3

Factor of dilated prism= 1/5

7750×1/5= 1550m^3

Which statements are true? Select all that apply.
A. The amplitude of y = 2 sin(12x) is 12.
B. The period of y = 2 sin(12x) is π.
C. The amplitude of y = 2 sin(12x) is π2.
D. The period of y = 2 sin(12x) is 4π.
E. The period of y = 2 sin(12x) is 12.
F. The amplitude of y = 2 sin(12x) is 2.

Answers

The answer is c. The amplitude of y=2 sin

I need to find the sum of the interior angel

Answers

The answer is 900 degrees. The polygon is 7 sided, which is a heptagon. Heptagons have interior angles that add up to 900 degrees
Your answer will be 900
Even though the diagram is irregular the formula can be same “( number of sides -2)*180”
Hope it helps : )

If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7

Answers

Answer:

C

Step-by-step explanation:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

Answer:

-3

Step-by-step explanation:

f(x) = 4x + 5

Let x = -2

f(-2) = 4(-2) + 5

        =-8+5

           -3

does anyone know how to solve this? asap please:((

Answers

Answer:

D)

Step-by-step explanation:

All sides are congruent because all sides are the same.

Hope this helps!

-kiniwih426

Yes his right have a nice day

Cho alpha+ beta+ gamma = pi. Chứng minh A) sin alpha + sin beta + sin gamma = 4cos alpha/2*cos beta/2*cos gamma /2

Answers

Answer:

It is proved .

Step-by-step explanation:

[tex]\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]

Take LHS

[tex]=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\[/tex]

[tex]=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]

Hence proved.

What's the probability of randomly selecting an odd number from the numbers 1-10?

Answers

Answer:

There is a 50% chance of getting a odd number.

Step-by-step explanation:

1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.

5/10 = 0.5 = 50%

5 out of 10

What is the solutions to the 2 system of equations? The X and Y have to be the same for both equations.

5x+4y=12

3x+6y=8

Answers

Answer:

x = 5, y = 7

Step-by-step explanation:

x – y = -2 ——— 1

5x – 4y = -3 —– 2

x = -2 + y ——— 3

3 in 2 ≈ 5(-2 + y) – 4y = -3

-10 + 5y – 4y = -3

y = -3 + 10

y = 7

Putting y = 7 in 3, we have;

x = -2 + (7)

x = 5

Hence (x, y) = (5, 7)

Find an area of a circle if the diameter of the circle is 40 cm

Answers

the A will be 1256.64cm 2

Answer:

1256cm^2

Step-by-step explanation:

The area of a circle is πr^2.

The radius is half of the diameter, so it's 20 cm.

A=3.14*(20cm)^2

A=3.14*400cm^2

A=1256cm^2

find the value of x what makes DEF ~ XYZ

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).

Answers

Given:

The given equation is:

[tex]y=-4x+3[/tex]

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=-4x+3[/tex]

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

[tex]m\times (-4)=-1[/tex]

[tex]m=\dfrac{-1}{-4}[/tex]

[tex]m=\dfrac{1}{4}[/tex]

The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:

[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]

[tex]y=\dfrac{1}{4}x-1-1[/tex]

[tex]y=\dfrac{1}{4}x-2[/tex]

Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].

i’ll give brainilist . Mrs.Shivers, the 8th grade guidance counselor, solved for the value of x in the triangle below. She said that x=70 based off what Ms.Willis taught her. Which of the following statements best justifies Mrs.Shiver's answer?

Answers

Answer:

she is correct

Step-by-step explanation:

because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.

and a straight line has an angle of 180

so the inside of the C angle is 50

60+50+70=180

If the supplement of an angle is 4 times of its compliment, find the angle.

PLSSSSSSSSSSS HELP ASAP

Answers

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Answer:

The angle is 60 degrees.

Step-by-step explanation:

Let the angle be x.

Then its supplement = 180-x.

Its complement = 90-x, so we have the equation:

180 - x = 4(90 - x)

180 - x = 360 - 4x

-x + 4x = 360 - 180

3x = 180

x= 60 degrees.

Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7

Answers

x=3 ,y=1
i hope this helps

Answer:

The Coordinates are (3, 1)

Step-by-step explanation:

Use the substitution method to solve the system of equations.

Let y = x - 2 be Equation 1

Let y = -2x + 7 be Equation 2

We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.

The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.

For this I'll use equation 1 first,

y = x - 2

1 = 3 - 2

So yes, the coordinates (3, 1) satisfy Equation 1

Lets check equation 2 now,

y = -2x + 7

1 = -2*3 + 7

1 = -6 + 7

This is also another equation where the coordinates (3, 1) satisfy equation 2

So this means that the coordinates (3, 1) are viable for both equations

Hope this helps!

5x + 1 over 2y2

What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.

Answers

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

Pls help me it's urgent pls help me!

Answers

Answer:

x/7 - 2 = y

Step-by-step explanation:

To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have

x = 7f(x) + 14

subtract 14 from both sides to isolate the f(x) and its coefficient

x - 14 = 7 f(x)

divide both sides by 7 to isolate the f(x)

(x-14)/7 = f(x)

f(x) is synonymous with y here. so we havt

(x-14)/7 = y

This can also be written as

x/7 - 14/7 = y

x/7 - 2 = y

Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.​

Answers

Answer:

c

Step-by-step explanation:

cellus
Find the composition of transformations
that map APQR to AP'Q'R'.
R

Translate [?] unit(s)
to the C) and then
reflect over the 0.
P10
R?
3
4

Answers

Answer:

Translate 4 units to the left and reflect over the x-axis

Step-by-step explanation: hope this helps :)

The composition of the transformations given in the figure is translate 4 units to the left and then reflect over the X axis.

What is Geometric Transformation?

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

After translation, the original figure is shifted from a place to another place without affecting it's size.

After Reflection, figure is flipped. In other words, a figure becomes it's mirror image.

Consider the point P.

Before undergoing reflection, the figure must be above the X axis.

And the point P will be translated 4 units to the left.

After reflection, since the figure moved towards the other side of the X axis, the figure is reflected across the X axis.

Hence the missing parts are filled.

Learn more about Translation and Reflections here :

https://brainly.com/question/30270479

#SPJ7

please help me! what’s the answer?

1) Two points
2) One point
3) One equation

Answers

Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

Answer: two points hope it helps

At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.

Answers

Answer:

8d + 6b = 55

2d + 9b = 32.50

Step-by-step explanation:

let 'd' = # dog bowls

let 'b' + # bones

Rhonda:  8d + 6b = 55

Kelly:  2d + 9b = 32.50

we can multiply Kelly's equation by -4 to eliminate the 'd' terms:

Kelly: -4(2d + 9b) = 32.5(-4)

-8d - 36b = -130

now add the above equation to Rhonda's equation:

  -8d - 36b = -130

+  8d + 6b = 55

-30b = -75

b = 2.50

now we can use either equation and substitute 2.5 for 'b' to find 'd'

2d + 9(2.5) = 32.5

2d + 22.5 = 32.5

2d = 10

d = 5

HELLPPPPPPPPPPP PLEASSSEE IM BEGGING " Which linear function has a greatery-intercept than the function depicted in the graph." ***will mark brainliest*

Answers

Answer:

    x            y

    -1           2

    0           3

    1            1

     2          -1

Step-by-step explanation:

Y-intersect of the liner function

Answers

Answer:

15

Step-by-step explanation:

The y- intercept is the value of y on the y-axis where the line crosses.

The line crosses the y- axis at 15 ← y- intercept

PLEASE HELP ME PLS PLS!
i need help please i’m confused

Answers

Area as a sum: 2x^2 + 7x + 3
Area as a product: (x^2 + 3x) • (2x + 1)
(I hope I’m correct)

Which solid has a great volume

Answers

1. A Cube with length,width, and height all at 8
2. A Cylinder with the diameter of 8 and height of 8

Evaluate 9t when t=5.

ITS NOT 95 already tryed that

Answers

Answer:

45

Step-by-step explanation:

9x5=45

Answer:

45

Step-by-step explanation:

9t

substitute 5 for t

9(5)

9(5) is the same as 9 * 5

9 * 5 = 45

so when t = 5 the output is 45

Determine the horizontal asymptote for the rational function.

Answer choices:
A.) y= 1
B.) y= -5
C.) y= 1
D.) y= -1

Answers

Answer:

[tex]\text{C) } y=1[/tex]

Step-by-step explanation:

A asymptote represents a control for a function where the function will never touch. We see that as the [tex]y[/tex] approaches 1, [tex]x[/tex] approaches infinity, from either direction. However, the function never touches nor crosses the line [tex]y=1[/tex], and never will. Thus, the horizontal asymptote is located at [tex]y=1[/tex].

y=0 is correct answer but is not in the selection.

Step-by-step explanation:

SOLUTION

For these solutions, we will use \displaystyle f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}, q\left(x\right)\ne 0f(x)=

q(x)

p(x)

,q(x)≠0.

\displaystyle g\left(x\right)=\frac{6{x}^{3}-10x}{2{x}^{3}+5{x}^{2}}g(x)=

2x

3

+5x

2

6x

3

−10x

: The degree of \displaystyle p=\text{degree of } q=3p=degree of q=3, so we can find the horizontal asymptote by taking the ratio of the leading terms. There is a horizontal asymptote at \displaystyle y=\frac{6}{2}y=

2

6

or \displaystyle y=3y=3.

\displaystyle h\left(x\right)=\frac{{x}^{2}-4x+1}{x+2}h(x)=

x+2

x

2

−4x+1

: The degree of \displaystyle p=2p=2 and degree of \displaystyle q=1q=1. Since \displaystyle p>qp>q by 1, there is a slant asymptote found at \displaystyle \frac{{x}^{2}-4x+1}{x+2}

x+2

x

2

−4x+1

.

Synthetic division of the polynomial x^2-4x+1 by x+2 in which it only contains the coefficients of each polynomial.

The quotient is \displaystyle x - 6x−6 and the remainder is 13. There is a slant asymptote at \displaystyle y=x - 6y=x−6.

\displaystyle k\left(x\right)=\frac{{x}^{2}+4x}{{x}^{3}-8}k(x)=

x

3

−8

x

2

+4x

: The degree of \displaystyle p=2\text{ }<p=2 < degree of \displaystyle q=3q=3, so there is a horizontal asymptote y = 0.

PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW

Answers

Answer:

AB = A'B', AD = A'D', CD = C'D', CB = C'B'

Step-by-step explanation:

There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.

The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.

how many edges does a rectangular have

Answers

4 edges
hope this helps
Other Questions
EASY EASY EASY EASY EASY EASYYYYY what is the number following k? before k? what is their sum ANSWER PLSSS. WHOVER ANSWERS FIRST IS BRAINLIEST Ray invested $300 in Stock Aand $750 in Stock B. Since then,the value of Stock A has increasedby 15% each year and the value ofStock B has decreased by 12% eachyear. After 4 years, which statementis true regarding the value ofhis investments?A) Stock A is worth $55.15 more than Stock B.(they won a radio contest)B) Stock A is worth $74.93 more than Stock B.(they are best friends)C) Stock B is worth $55.15 more than Stock A.(they wanted to get attention)D) Stock B is worth $74.93 more than Stock A.(they were training for a marathon)CADRUG PLEASE HELP ME WITH THIS ONE QUESTION The half-life of Barium-139 is 4.96 x 10^3 seconds. A sample contains 3.21 x 10^17 nuclei. What is the decay constant for this decay? How do you think Soda and Darry are feeling about Ponyboy being gone? Describe some internal conflict both brothers may be having at this time. "TheDevil and Tom Walker," thetrees on Deacon Peabody'sland were unusual in whatway? Outline TWO characteristics of the First-past-post electoral system PLEASE QUICK!Read Joe's second question from paragraph 19 in the box.2. Where do you get your ideas?Which sentence from paragraphs 60 and 61 best reveals Maureen's answer?O A. "For instance, I have read quite a bit about the Civil War, but I did notknow about this gentleman Minie and his invention of the mini ball."OB. "Many young boys, boys almost as young as you, went off to fight inthe Civil War."O C. "But just think: That mini ball you have could have hit one of thoseboys on the battlefield, grazed his cheek, wounded him, left himscarred."D. "Oh, I delight myself." PLEASE HELP!! ILL GIVE MORE POINTS TO THE FASTEST ANSWER Determine whether the function is linear or quadratic.y = (x + 1)(8x - 8) - 8x2a) Linearb) Quadratic Graph the image of square CDEF after a reflection across the x-axis Audrey owes her parents a debt of $20. Her parents will remove $10 of the debt if she babysits her little brother. Which expressions represent this situation? Choose BOTH expressions. The image is above. NO LINKS OR FAKE ANSWERS OR I WILL REPORT YOU. Thanks the image is above Easy question 34.8 + 6.879 =? Which of the following is FALSE regarding blood glucose?It provides energy to cellsIt is used to make proteinsIt is found in simple carbohydratesIt travels through bloodstream Use the drop-down menus to indicate whether each of the following events would be recorded as revenues or expenses at the time it happens under accrual-basis and cash-basis accounting methods. Event Accrual-Basis Cash-BasisSeptember: Receive cash in advance from customers for services to be performed in November. selectRecord revenueDo not record revenueselectRecord revenueDo not record revenueOctober: Purchase supplies totaling $10,000 on account. selectRecord expenseDo not record expenseselectRecord expenseDo not record expenseNovember: Receive cash for services performed in November. selectRecord revenueDo not record revenueselectDo not record revenueRecord revenueNovember: Perform services for customers who paid in advance during October. selectRecord revenueDo not record revenueselectRecord revenueDo not record revenueDecember: Pay cash for the supplies that were purchased in October. selectRecord expenseDo not record expenseselectRecord expenseDo not record expense The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP. if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240 Find the percentage of change from 76 inches to 99 inches. Find the x-intercept and y-intercept of the graph of the equation 2y = 3x - 6. Some bias is inevitable. Why?because it's impossible to cover everything in a completely balanced waybecause only certain types of stories will make moneybecause networks only run stories that will attract viewers and listenersbecause there are no consequences for presenting a biased story Define malnutrition and identify a specific disease that can result from it.