Answer:
[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]
x= 57°
In the diagram below of triangle PQR, S is the midpoint of PR and T is the
midpoint of QR. If ST = -32 + 9x, and PQ = -53 +28, what is the measure
of ST?
Answer: ST=?
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = [tex]\frac{1}{2}[/tex] PQ substitute values
- 32 + 9x = [tex]\frac{1}{2}[/tex] (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.
Answer:
Kevin made 5 free throws and 3 two-point shots.
Step-by-step explanation:
Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:
11 x 1 + 0 x 2 = 11
6 x 1 + 4 x 2 = 14
5 x 1 + 3 x 2 = 11
Therefore, Kevin made 5 free throws and 3 two-point shots.
Answer:
Step-by-step explanation:
Graph
Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in
Answer:
I think B but not so sure
Hoping you have a good dayAnswer:
Step-by-step explanation:
radius of semi circle=8/2=4 in
height of triangle=14-4=10 in.
area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in
If LK is a midsegment of hij, find x
Answer:
you forgot to post the pic
Step-by-step explanation:
Evaluate 5x when x =8
Answer:
5x
= 5(8)
= 40
I hope I've helped
Which of the expressions below has a quotient that is greater than 15? Select all that apply.
A) 192÷12
B) 73÷5
C) 153÷9
D) 112.5÷9
Use a ratio box to solve this problem: After working 6 months, Martha received a raise of 20%. If
Martha's previous pay was $6.90 per hour, what was ber hourly pay after the raise?
Please put step by step
Answer:
$6.90+20%-6 months to get this answer
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
Answer:
[tex]x < -4[/tex]
[tex]-4 > x[/tex]
Step-by-step explanation:
Given
Description of number line
Range: -6 to 2
Open circle on -4
Left shaded
Required
Select the number line
From the question, we understand that the left side of the number line is shaded.
This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]
Also, the open circle on -4 means that we discard [tex]\le[/tex].
So, the inequality is:
[tex]x < -4[/tex]
The opposite of the above inequality is:
[tex]-4 > x[/tex]
Answer:
A, D.
Step-by-step explanation:
good luck with edge :)
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome
A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches
Answer:
A
Step-by-step explanation:
Arc length is given by the formula:
[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]
Where r is the radius and θ is the central angle, in degrees.
The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:
[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]
Use a calculator:
[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]
Our answer is A.
Q.Jason has 3 red pencils and 6 yellow pencils. Which statement is true?
•The number of red pencils is 1/2 times the number of yellow pencils
•The number of red pencils is 2 times the number of yellow pencils
•The number of yellow pencils is 1/2 times the number of red pencils
•The number of red pencils is 3 more than the number of yellow pencils
Answer:
The number of red pencils is 2 times the number of yellow pencils
Help please! Ill give branliest :)
Answer:
425 grams divided by 28.3 = 1 ounce is about 15 ounces
Step-by-step explanation:
Since there are 425 grams in total and 28.3 GRAMS = 1 OUNCE that means. Every 28.3 grams in the total of 425 grams are ounces so we divide it by the 28.3 in order to find the ounces since every 28.3 grams are ounces!
Answer:
...............15 .................
convert 1 1/4 pounds to ounces
Answer:
20 ounces
Step-by-step explanation:
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter
help please help please
can someone help me really please
Answer:
bro I don't know seach on chome
A. 1/3
B. 1
C. 2
D. 3/1
E. 1/2
F. 2/3
Answer:
B
Step-by-step explanation:
the graph is completely proportional so the answer would be 1
Robert must read a few books from his home library. He read any 4 out of 6 books from the top shelf, and then any 2 out of 3 books from the middle shelf and then any 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books, if different orders in which the books will be read count as different ways
Answer:
Robert can read the books in 129,600 different ways.
Step-by-step explanation:
The order in which the book are read is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Top shelf:
4 books from a set of 6. So
[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]
Middle shelf:
2 books from a set of 3. So
[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]
Bottom shelf:
3 books from a set of 6. So
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
Total:
360*3*120 = 129,600
Robert can read the books in 129,600 different ways.
What is the decimal equivalent of 2/3?
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
Jack places the bottom of a ladder 9 feet from the wall. It is a huge 41 foot long ladder so he asks his sister Katie to help him. How far up the wall does the ladder reach?
Answer:
40 feet
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a² + 9² = 41²
a² + 81 = 1681
Subtract 81 from both sides
a² = 1600
Take the square root of both sides
a = 40
HURRY what is 1+1 please hurry
1. Write an equation of the line in slope-intercept form that passes through (4.2) and (8.–2).
Answer:
its (8+4)/(-2-2) so the slope is -3x
Step-by-step explanation:
What is the area of the figure?
7 in
Bin.
in
16 m
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
Alicia, Carlos, Henry, and Zoe each completed a hike. The table shows their distances and times. Match each hiker to their unit rate.
3.20 mph
3.57mph
2.77 mph
3.08 mph
Answer:
3.57 mph I think it's 3.57 but if it's not I'm sorry
One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.
Answer:
GIME SUM SKITTLES (Points)
Step-by-step explanation:
Answer:
Step-by-step explanation:
??.
YOUR ASSIGNMENT: Difference of 10 Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game. Your Player 1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select
Answer:
[tex]|x - y| > 10[/tex] ---- Nita wins
[tex]|x - y| < 10[/tex] --- Eric wins
Step-by-step explanation:
The complete instruction is to determine the range at which Erik or Nita wins.
To start with, let
[tex]x \to[/tex] Erik's score
[tex]y \to[/tex] Nita's score
If the difference is greater than 10, the Nita wins.
This implies that:
[tex]|x - y| > 10[/tex] ---- Nita
If less than 10, then Eric wins
This implies that:
[tex]|x - y| < 10[/tex] --- Eric wins
Now, assume that Nita chose 5.
For Nita to win, we have:
[tex]|x - y| > 10[/tex]
[tex]|x - 5| > 10[/tex]
Remove the absolute symbol
[tex]-10 > x - 5 > 10[/tex]
Split
[tex]-10 > x - 5\ or\ x - 5 > 10[/tex]
Solve for x
[tex]5 -10 > x \ or\ x > 10 + 5[/tex]
[tex]-5> x \ or\ x > 15[/tex]
Rewrite as:
[tex]x< -5 \ or\ x > 15[/tex]
x cannot be negative.
So:
[tex]x > 15[/tex]
x cannot exceed 20.
So:
[tex]15 < x \le 20[/tex]
Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.
ANSWERS ONLY NO LINKS PLEASE!!!!
[tex]c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.[/tex]
HELP
What is the equation of the trend line in the scatter plot ?
Plz help me well mark brainliest if correct....?.?.?.?