In the figure shown, MR = 45 units, and RQ = 15 units. What is the length of PR?
Answers
tan30=(PR)/45
Solving for PR, you can put 45tan30 into the calculator to get approximately 21.981 units.
Related Questions
You pick a card at random. Without putting the first card back, you pick a second card at random. 5 6 7 What is the probability of picking an even number and then picking an even number?
Answers
Answer:
The probability of picking a 7 as the first card is 4 out of 52 or 1/13. The probability of picking a 5 as the second card is 4 out of 51. For both to happen, we multiply and get about .00603318
Thanks!
person above me is correct
Step-by-step explanation:
"You've fallen into my trap!" Justin shouts, laughing like
the madman he is. The mouse he captured stares back at
him indifferently as it munches on a piece of cheese at the
bottom of a box whose base measures 12 cm by 12 cm.
Move the points on the grid below to draw the base of
the box in which the mouse is trapped.
Answers
Answer:
18 units by 18 units
makes sure the square add up to 18 going across and 18 going down.
Step-by-step explanation:
please help, will give brainlist to first answer
Answers
4.4300 grams
Answer:
3 .62 lt
4 4300 g
5 1.78 mt
6 .0031 g
7 500 lt
8 .083 g
write the equation that models each linear relationship
Answers
Note: I will be writing these in slope-intercept form.
[6] y = 2x + 4
Since the line is going from bottom left to top right, we know the slope of the line is positive.
-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.
-> The slope can be found with change in y over change in x,
[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]
-> The final equation is y = 2x + 4
[7] y = -3x - 5
Because the line is going from top left to bottom right, we know the slope of the line will be negative.
-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.
-> The slope can be found with change in y over change in x,
[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]
-> The final equation is y = -3x - 5
what is f in this equation?
0.32=1/f
Answers
Step-by-step explanation:
0.32=1/f
1/0.32=f
f=3.125
help please really confused
Answers
Answer:
A and C (integers are whole numbers, so NOT fractions or decimals.)
Step-by-step explanation:
Answer:
A, C and E
Step-by-step explanation:
Integers are whole positive or negative numbers.
The radius of a semicircle is 1 cm.Whats the semicircles area?
Answers
Step-by-step explanation:
Area=1/2(πr^2)
= 1/2 × 22/7 × 1^2
=11/7=1 4/7cm^2
A theater has 15 seats in the front row. The number of seats in each row follows an arithmetic series with 72 seats in the last row. The theater has a total of 870 seats. How many rows does the theater have? By how many seats does each row increase? Please show all work.
Answers
Step-by-step explanation:
Given:
Theater has 15 seats
Last Row has 72 seats.
Theater has a total of 870 seats.
Unknown: Number of rows
Number of seats in each row.
Equations: Since we know the total number of seats the Theater has we can use the sum of arithmetic series
[tex]s = \frac{a _{1} + a _{n} }{2} n[/tex]
Where a1 is the first row of seats
s is total number of seats
an is last row of seats
n is number of rows.
[tex]870 = \frac{15 + 72}{2} (n)[/tex]
[tex]870 = \frac{87}{2} n[/tex]
[tex]2(870) = 87n[/tex]
[tex]20 = n[/tex]
So we have 20 rows.
To find how many seats does each row increase, we use this formula,
[tex]a _{n} = a + (n - 1)d[/tex]
Let use the 20th row as an example,
[tex]a _{20} = 15 + (19)d[/tex]
[tex]72 = 15 + (19)d[/tex]
[tex]57 = 19d[/tex]
[tex]3 = d[/tex]
So the common difference is 3.
So the seats of each row increase by 3.
Calculate the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly. a. $247.44 b. $337.56 c. $433.88 d. $505.79
Answers
The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660
It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.
It is required to find the monthly payment.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have P = $23,570
r = 10.43% = 10.43/100 = 0.1043
n = 12
t = 5 years
Putting all the values in the formula, we get:
[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]
[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]
The monthly payment will be:
=[tex]\rm \frac{A}{t(in \ months)}[/tex]
[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]
Thus, the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.
Learn more about the compound interest:
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Answer:
D. 505.79
Step-by-step explanation:
edge 2022
Please show work on answer
Answers
Answer:
x = 14
Step-by-step explanation:
x + 96 + 5x = 180
6x + 96 = 180
6x = 84
x = 14
Answer:
[tex]\huge\boxed{\sf x = 14}[/tex]
Step-by-step explanation:
x + 96 + 5x = 180 (Angles on a straight line)
Combine like terms
x + 5x + 96 = 180
6x + 96 = 180
Subtract 96 to both sides
6x = 180 - 96
6x = 84
Divide both sides by 6
x = 84 / 6
x = 14
[tex]\rule[225]{225}{2}[/tex]
JAVA
Write a program that repeatedly reads in integers until a negative integer is read. The program also keeps track of the largest integer that has been read so far and outputs the largest integer at the end.
Ex: If the input is:
2 77 17 4 -1
the output is:
77
Assume a user will enter at least one non-negative integer.
Answers
The program is an illustration of loops
What are loops?Loops are program statements that are used to execute repeated statements
The java programThe program, written in Java where comments are used to explain each line is as follows:
import java.util.*;
public class Main{
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
int num;
//Get input from the user
num = input.nextInt();
//Initialize the largest to the first input
int maxn = num;
//This loop is repeated until a negative input is recorded
while (num >=0){
//If the current input is greater than the previous largest
if (num>maxn){
//Set largest to the current input
maxn = num; }
//Get another input from the user
num = input.nextInt();
}
//Print the largest
System.out.print("Largest: "+maxn);
}
}
Read more about loops at:
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through (4, -1), parallel to y=-3/4x
Answers
Write an equation of the line in slope- intercept form.
A. Y= -4/5x - 3
B. Y = -4/5x + 3
C. Y= -5/4x - 3
D. Y= -5/4x + 3
Answers
Answer:
A
Step-by-step explanation:
becuase the 3 is negtive and the 4/5 so it A
Answer:
[tex]a)\ y=-\frac{4}{5}x -3[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}[/tex]
[tex]y=mx+b\\y=-\frac{4}{5}x +b[/tex]
(-5, 1)
[tex]y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b[/tex]
[tex]y=-\frac{4}{5}x -3[/tex]
Check your answer:
[tex]y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1[/tex]
This statement is true
Hope this helps!
4. Courtney wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean price?
Answers
Answer:
$22,320
Step-by-step explanation:
1. Understanding
Mean is the average of a given set
2. Solving
We have to find the average of all of these numbers.
How do I find the average?
I add all of the numbers and divide by the number of numbers I added. Example:
(x + x + x + x)/4 or,
(x+x)/2 and examples in numbers:
(3+4)/2 or,
(9+4+8+5+7)/5
See what I mean? Dividing by the number of numbers I have.
Ok, now we know that, we can solve!
Here is the equation for this problem:
(24,600+19,000+33,000+15,000+20,000)/5 (We have 5 numbers)
We have to do Parentheses First
(24,600+19,000+33,000+15,000+20,000)/5 --> 111,600/5
111,600/5 = 22,320
22,320 is the average number of all of the numbers, which is the mean
Hope this helps :)
-jp524
7 Given S - sum of the digits in the number M, find
the values of S when
(a) M461
(b) M17 (c) M
Answers
Answer:
the answer is 45%.
Step-by-step explanation:
if you add 5% divided by 3 = 15%.
So if you add all of those plus the 30% you will be getting 45%.
A bag contains 20 balls.
The ratio of red to blue to yellow balls is 1:2:2.
Find how many red, blue and yellow balls there are.
Answers
Answer: red=4 blue=8 yellow=8
4:8:8
Step-by-step explanation: 1+2+2=5
20÷5=4 4×1=4 2×4=8 2×4=8
Instructions: Find the length of the missing side.
Please help explain how I do this!! I will give you a Brainliest!!!!
Answers
Answer:
side AB = [tex]9\sqrt{2}[/tex]
hypotenuse CB = 18
Step-by-step explanation:
with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is [tex]9\sqrt{2}[/tex] , then AB would have to be the same so therefore it would also be [tex]9\sqrt{2}[/tex]. We also know that the length of the hypotenuse (CB) is the length of the leg times [tex]\sqrt{2}[/tex]. So, it would be [tex](9\sqrt{2} ) *\sqrt{2}[/tex], which is the same as saying [tex]9*(\sqrt{2}) * (\sqrt{2} )[/tex]. Doing [tex](\sqrt{2}) * (\sqrt{2} )[/tex] would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.
f (x)=6xº + 2x² +
+ x
O The function is an even function.
O The function is an odd function.
O The function is neither even nor odd.
Answers
Foreign Policy: Imperialism For82622
Suppose you know the volume of a pyramid with a rectangular base is 200 cubic units. How could you find a set of dimensions for the pyramid?
Answers
Solve the equation on the
interval [0, 27).
4(sin x)2 - 2 = 0
X
.
7
[?] []? []T
x =
4) 4 4 4
Write your answer in increasing order. Enter the
number that belongs in the green box.
Enter
Answers
Answer:
see explanation
Step-by-step explanation:
note that (sinx)² = sin²x
4sin²x - 2 = 0 ( add 2 to both sides )
4sin²x = 2 ( divide both sides by 4 )
sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )
sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]
sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )
x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]
sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )
x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]
solutions are
[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )
can someone help please i am disintegrating by the second
Answers
because the square root of 100 is 10, and the square root of 4 is 2 and the square root of 32 is 4 times the square root of 2 if that makes sense!
C, D, and F are not it because the square root of 144 is 12 the square root of -144 is also 12 and the square root of 148 I believe would be greater than twelve.
Somebody help me with this please
Answers
Answer:
Step-by-step explanation:
∠R=90-61=29°
using sin formula
[tex]\frac{x}{\sin~29} =\frac{59}{\sin~61} \\x=\frac{\sin~29}{\sin~61} \times ~59 \approx~32.7[/tex]
Angle KLM and angle MLN are a linear pair.
A horizontal line has points K, L, N. A line extends from point L up and to the right to point M.
Ray LR is to be added to the diagram so that it is opposite ray LM. Which is true about angle RLN that would be formed?
Angles RLN and MLK would be vertical angles.
Angles RLN and MLN would be vertical angles.
Angles RLN and KLM would be a linear pair.
Angles RLN and KLN would be a linear pair.
Answers
Answer: Angles RLN and MLK would be vertical angles.
Step-by-step explanation:
A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.
Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.
Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.
Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.
Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.
Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.
To know more about Angles
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Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75. How many adult tickets and student tickets were purchased.?
Answers
Answer:
5 adult and 3 student tickets were purchased
Step-by-step explanation:
Let x be the number of adult tickets
Then 8−x is the number of student tickets
7.25x+5.5(8−x)=52.75
7.25x+44−5.5x=52.75
1.75x=8.75
x=5
Therefore, 5 adult and 3 student tickets were purchased
Write in point-slope form the equation of the line that passes through the point (- 1, 6) and has a slope of -2
Answers
Answer:
y= -2x+4
Step-by-step explanation:
BRE
What is the scale factor of this dilation?
A'
9
6
B'
15
10
[Not drawn to scale]
O
WN
O
O 3
OO
5
Answers
Answer:
2nd option
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{A'C'}{AC}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] = 1 [tex]\frac{1}{2}[/tex]
What is the solution of log (2 t 4) = log (14 minus 3 t)?.
Answers
The solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.
What is logarithmic properties?
Considering that the logarithm function is injective then the log is removing from the both sides and solving the equation for the value of t.
Given
The equation is;
[tex]\rm log(2t+4)=log(14-3t)[/tex]
The solution of the equation is;
[tex]\rm log(2t+4)=log(14-3t)\\\\2t+4=14-3t\\\\2t+3t=14-4\\\\5t=10\\\\t=\dfrac{10}{5}\\\\t=2[/tex]
Hence, the solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.
To know more about logarithmic properties click the link given below.
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6.) Which expression is equivalent to b^-4?
Answers
There are no options.
Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} } .[/tex][tex]\frac{1}{b^{4} }[/tex] <------------- only expression created by this rule.
This is best possible, there should be answer displayed.Answer:
Step-by-step explanation:
The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.
Recall that:
1
------------- = a^(-n)
a^n
1
Therefore, b^(-4) = --------------
b^4
I can't find the answer could you please help me?
Answers
Answer: 10.5
Step-by-step explanation:
Find the following measures of central tendency for the given set of data.
{2, 7, 6, 9, 4, 3, 8, 1, 6, 2}
a. Mean =
b. Median =
c. Mode=
Answers
Mean=4.8
Find the middle number and since it’s two add them 4+3=7 and then divide by 2 which gives you your median
Median=3.5
The two numbers repeated which gives you your mode
Mode=2