Answer:
15
Step-by-step explanation:
In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.
Answer: A, C, and F
Step-by-step explanation:
The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.
Given :
In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.
The trigonometric functions can be used in order to determine the correct statements about triangle PQR.
[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]
[tex]\rm PQ = 2\;PR[/tex]
[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]
[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]
[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]
[tex]\rm \sqrt{3}\; PR= QR[/tex]
[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]
[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]
[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]
[tex]\rm PR=2\;PQ[/tex]
[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]
[tex]\rm PR=\sqrt{3} \; QR[/tex]
Therefore, the correct option A), B), and F).
For more information, refer to the link given below:
https://brainly.com/question/13710437
Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answer:
36 Kilograms of Dough in 6 hours
Step-by-step explanation:
Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.
Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?
Answer:
$13.92
Step-by-step explanation:
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
can you please help me with this question
Answer:
D
Step-by-step explanation:
4 * 20 = 80
What is the slope-intercept form of a line that contains the point (-2,-11) with a slope=4?
PLZ HELP I ONLY HAVE 10 minutes left
Answer:
I believe its c.
Step-by-step explanation:
There using the equation mx+b=y. M is the slope(4), b is the y intercept (3).
Answer:
The correct choice is D.
there are 120 calories in 2/3 cup. how many calories are in 1 cup?
Answer: 180
Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.
3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.
may you write the equation a little please, not to mean or anything but it would not give me the answer.
Answer:
no solution
Step-by-step explanation:
Which of the following shows only multiples of 12
Answer:
there is no following
Step-by-step explanation:
Answer: 12,24,36,48,60,72,84,96,108,120,132,144
Step-by-step explanation:
Hope this helps. Could not see the image attached.
6x^2-19x+3=0
Find both of the x
Joy hiked 9.8 miles on Saturday and 4.2 miles miles on Sunday. How much farther did Joy hike on Saturday than on Sunday? miles
Answer:5.6 I think
Step-by-step explanation:yea I just minus them and got that so
How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions
Answer:
d. 2 solutions
+5/2,-5/2
Step-by-step explanation:
16x^2 = 100
x^2=100/16
x^2=25/4
X=√25/4
X=. +5/2,-5/2
So the answer is +5/2,-5/2
What does it mean when the x- coordinate or y-coordinate of a point is 0 ?
Answer:
The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system.
Step-by-step explanation:
Answer: x, y coordinates are horizontal and vertical
Step-by-step explanation:
3x + 6y = 42 and -7x + 8y = -109 solve by elimination
Answer:
Point Form
(15,-1/2
Equation Form
x=15 and y= -1/2
Step-by-step explanation:
HELP!!! use Gauss-Jordan elimination to solve the following linear system
-x+6y=20
-x+3y=8
I solved it using my calculator but you can also solve the matrix by hand.
How many shelves did Andrew stock per hour?
Answer:
we dont have the info
Step-by-step explanation:
i Wnte 2x2x3x3x5 using exponents.
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
Answer:
Y = 5.5x
The constant is 5.5
since no matter what y and x are there will always be a 5.5 difference
Also mark brainliest please
The required constant of proportionality is 5.5 in the given expression.
Given that,
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality is to be determined.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
The given proportion equation is,?
y = 5.5x
Where y is the dependent variable and x is the independent variable,
And 5.5 is contant.
Thus, the required constant of proportionality is 5.5 in the given expression.
Learn more about proportionality here: https://brainly.com/question/22620356
#SPJ6
helppppp please I will give brainliest
Answer:
-3/4 ata di ako sure sa answer ko ha
Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Answer:
the first one is correct
Step-by-step explanation:
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer: B
Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4
Simplify the sum. (10x^5+1x+8)+(2x^5+8x^2+4)
Answer:
12x^5 + 8x^2 + x + 12
Step-by-step explanation:
If N(k) is the inverse of K(n) and N(12) = 4, then K(4) = 12
Answer:True
Step-by-step explanation:
A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)
Answer:
54
Step-by-step explanation:
The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.
Any other Prepworks questions? :)
Mr. Smith provides music lessons online for a fee. He charges $15 per lesson plus an initial fee of $30. How many lessons could Jason sign up for if he wants to spend $120?
Wright an equation to represent how many lessons Jason could sign up for. Show all steps to solve the equation. Explain what your final answer means in context of the problem.
Answer:
2 lesson with a remainer of $30
Step-by-step explanation:
$15 + $30 = $45
$45 multipled by 3 would equal 135 witch is $15 over ,
but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)
we cannot survive without water give reason why
Answer:
Because we don't have life without water it is precious
00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)
Answer:
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C
Step-by-step explanation:
The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b
Let us solve the question using this rule
∵ We need to put 64 × 13 as the sum of two products
→ Let m = 64 and n = 13
∵ m = 64 and n = 13
∵ 64 = 60 + 4
∴ a = 60 and b = 4
→ By using the rule above
∵ m × n = (a × n) + (b × n)
∵ a = 60, b = 4, and n = 13
∴ 64 × 13 = (60 × 13) + (4 × 13)
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)
A bottle of juice that says it holds 2 cups only holds 1 cup 5 ounces. The bottle of juice holds how many ounces less than it should. This represents what percentage error
Answer:
A bottle of juice that says it holds 2 cups actually only holds 1 cup 5 ounces. The bottle of juice holds
3 ounces less than it should. This represents a 18.75 percent error.
Step-by-step explanation:
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation:
In a survey of 3,500 people who owned a certain type of car, 1,925 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
I need this by tonight so please help!
Answer:
55%
Step-by-step explanation:
to find percentage you divide the no of people who were satisfied by the car by the no of people who bought the car then multiply by a hundred
thus 1925÷3500×100