The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.

Answers

Answer 1

Answer:

5.53°

Explanation:

Law of sines.

The Diagram Shows Three Points P, Q And R On Horizontal Ground.PQ = 50 M, PR = 100 M And Angie PQR =

Related Questions

If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3

Answers

Answer:

Answer is option C

Step-by-step explanation:

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3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).

A=P(1+r/n)nt

Answers

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

What is compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

A=P(1+r/n[tex])^{nt}[/tex]

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

To learn more about the compound interest rate;

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How many solutions does the system have?
x+y=3
5x+5y=15

Answers

hope it is help full

Step-by-step explanation:

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REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe

1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A


2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.

Answers

Answer:

1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

2. La ecuación de la recta es, y = -5·x - 6

Step-by-step explanation:

 1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)

Por tanto, la ecuación vectorial de la línea es;

[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

Donde;

t = Cualquier número

2. El punto por el que pasa la recta es P (-2; 4)

La pendiente de la recta, m = -5

Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;

y - 4 = (-5) · (x - (-2)) = -5 · x - 10

∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6

La ecuación de la recta es, y = -5·x - 6

Surface area of triangular prism

Answers

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.

Answers

Step-by-step explanation:

according to the graph,

the domain is : -2 ≤ x < 0 or 0 < x ≤ 5

=> [-2, 0) U (0, 5]

the range is : -2< y ≤ 0 or 2≤ y ≤ 4

=> (-2, 0] U [2, 4]

the answer is option 1

The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the function is shown in figure.

Now, According to the graph, We get;

The domain is;

-2 ≤ x < 0

Or, 0 < x ≤ 5

Domain = [-2, 0) U (0, 5]

And, the range is;

-2< y ≤ 0

Or , 2≤ y ≤ 4

Range = (-2, 0] U [2, 4]

Thus, The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

Learn more about the function visit:

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Tính : 2020^3-1/2020+2021

Answers

Answer:

2020³-1/4041

Step-by-step explanation:

The hypotenuse of a right angled triangle is 8 cm more than its shortest side. The third side is 1 cm shorter than the hypotenuse. Find the three sides of ths is triangle.​

Answers

Answer:

hypotenuse = 13

shortest side = 5

third side = 12

Step-by-step explanation:

Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that

a²+b² = c² using the Pythagorean Theorem.

We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b

c= 8+a

c-1 = b

a²+b² = c²

One thing we can do is to solve for everything in terms of c and solve the third equation from there

c= 8+a

subtract 8 from both sides

c-8 = a

a²+b² = c²

(c-8)²+b² =c²

b = c-1

(c-8)² + (c-1)² = c²

expand

c²-16c + 64 + c² - 2c + 1 = c²

2c² - 18c + 65 = c²

subtract c² from both sides to make this an equation that we can more easily solve

c² - 18c + 65 = 0

To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have

c²-13c-5c + 65 = 0

c(c-13) -5(c-13) = 0

(c-5)(c-13) = 0

Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12

HELP ASAP HOMEWORK FOR TMR!!!!

Answers

Answer:

A. 6.75, divide 13.5 by 2.

B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5

!This is the first part!

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer: $30

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

10% of 600 = 60

5% of 600 = 30

What 2 days did he decrease his walking

Answers

Answer:

4, 7, 14

Step-by-step explanation:

Because it's were it decreases

If the range of the function f(x) =5x + 8 is 18, find its domain.​

Answers

Step-by-step explanation:

f(X) = 5x+18= 18

so,

18 = 5x+18

18-18 = 5x

X= 0

so domain of the function is 0

Simplify and Determine the coefficient of:
Please help.

Answers

Answer:

4

Step-by-step explanation:

-2/5 x* 5y * -2x

Multiply the coefficients

-2/5 * 5*-2

-2*-2 *1/5*5

4

I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!

Answers

radius: (-3, 7)
center: 11

What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11​

Answers

Answer:

mean = 10

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{6+7+10+12+12+13}{6}[/tex]

        = [tex]\frac{60}{6}[/tex]

       = 10

simplify
(-3y)*(-7y)

Answers

Answer:

answer of this question is

21y^2

Someone help plsssss

Answers

Its either (top to bottom) 1 or 4

1. Is the figure defined by points H, I, J, and Ka rhombus?

Answers

Answer: No

Step-by-step explanation:

Because in a rhombus all sides are equal.

In this opposite sides are equal and not all sides.

please click thanks and mark brainliest if you like :)

Answer:

no

Step-by-step explanation:

the definition of a rhombus is a quadrilateral with 4 equal sides so we just have to either prove all the sides are equal or that two or more sides are not equal.

to do this use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

HI=5 (it's a horizontal line so it's just |-8-(-3)|=5HK=[tex]\sqrt{(-8+9)^2+(8-2)^2}[/tex]=[tex]\sqrt{1+36}[/tex]=[tex]\sqrt{37}[/tex] it isn't equal

HIJK is a parallelogram but not a rhombus

What is the equation of the line that passes through the point (3,-7) and has a undefined slope

Answers

Answer:

  x = 3

Step-by-step explanation:

A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.

Line through (3, -7)

To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:

  x = 3 . . . . . . vertical line through (3, -7)

You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use

Answers

Answer and explanation:

Assume Almond is a

Cashew is c

Peanuts is p

The system of equations satisfies this thus:

a+c+p= 10

7a+5c+2p= $20

The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.

When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?

Answers

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?

Answers

Answer:

B. on edge 2021

Step-by-step explanation:

y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4

Answer:

It's B :))

Step-by-step explanation:

the table of values below represents a liner function and show the amount of money in the savings account since she began her part-time job what is her monthly rate of savings​

Answers

Answer:

she saves $24 dollars every month. 36 + 24 =60 +24 =84 +24 =108 +24 =132 :)

If n(A)=11 and n(B)=18,find the maximum value of n(AnB).​

Answers

The maximum value of n (AB) occurs when AB (i.e. when A is a subset of B), in which case AB = A, and so max{n (AB)} = n (A) = 11.

3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.

Answers

Answer:

98 ppl voted for Gordan

Step-by-step explanation:

a) 35% of 280=98

b)  15% of 280=42

   40% of 280=112

    10% of 280=28

Add 98, 42, 112, and 28 and you get 280! Hope this helps :)

Help me with this anyone

Answers

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a

what is the answer for 7 to the negitive second power.

Answers

Answer:

the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal

Are you asking about  [tex]7^{-2}[/tex]  ?

If so:

A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:

[tex]7^{-2}[/tex] =

[tex](\frac{1}{7})^{2}[/tex] =

[tex]\frac{1}{49}[/tex],

So our answer is 1/49.

Will give brainliest to correct answer

Answers

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

Heyyy!!! It’s thirty lamps bc 30x2=60
30 lamps

what's 14 1/4 in lb into ounces

Answers

Answer:

228

Step-by-step explanation:

We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.

14 1/4 or 14.25

14.25 * 16

==> 228

Meaning there are 228 ounces in 14 1/4 pounds

Determine el radio vector del punto medio del segmento que se forma al unir los puntos (-8, 7) y (6, 3).
Es para hoy

Answers

Answer:

The radius vector is (-8, 7) and (-1 , 5).

Step-by-step explanation:

Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).

The end points are (- 8, 7) and (6, 3) .

The mid point is given by

[tex]x = \frac{x' + x''}{2}\\\\y = \frac{y' +y''}{2}\\\\x =\frac{- 8 + 6}{2}=-1\\\\y = \frac{7+3}{2} = 5[/tex]

So, the radius vector is (-8, 7) and (-1 , 5).  

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