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).
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A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?
Answer: 11 waffles were chocolate chip
Step-by-step explanation:
16-5=11 waffles were chocolate chip
Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:
Answer:
119.38
Step-by-step explanation:
Answer:119.3805208 inches
Step-by-step explanation:
the answer are...
a. -2
b. -1/2
c. 1/2
d. 2
Answer:
C. 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 4)
Point (-8, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0-4}{-8-0}[/tex]Subtract: [tex]m=\frac{-4}{-8}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?
Answer:
10 sorry if i'm wrong
Step-by-step explanation:
Am I correct on this ?
The answer is -7!!!! can you help me too???? im stuck on one problum!!!
:D
What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2
Answer:
The answer must be either C or D but I think it is D
Step-by-step explanation:
sorry if I am wrong
Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?
Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
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PLZZ help me with this I will give brilliantis to whoever gets it right
Answer:
C
Step-by-step explanation:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
Answer:
man the answers are 40 10 30
Step-by-step explanation:
A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.
Answer:
18 credits per semester
Step-by-step explanation:
Based on the information given the rate at which she is earning credits is 18 credits per semester.
Using this formula
Credits earning rate=Ending credit-Beginning credits /Number of semesters
Where:
Ending credits=117 credits
Beginning credits=9 credits
Number of semesters=6
Let plug in the formula
Credits earning rate=117-9/6
Credits earning rate=108/6
Credits earning rate=18 credits
Inconclusion the rate at which she is earning credits is 18 credits per semester.
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The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?
Answer:
0.603
Step-by-step explanation:
Given that mean = 3.2
Probability that special order sent out will be no more than 3
Using poisson :
P(x) = (e^λ * λ^x) / x!
λ= 3.2
P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)
P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622
P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390
P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024
P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159
Hence ;
0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195
= 0.603
Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate
PLEASE HELP!!!!
IT IS NOT A
A. Yes; 20 hours/painter
B. Yes; 8 hours/painter
C. No; Does not pass through the origin
D. None of the above
Answer:
C
Step-by-step explanation:
Answer:
Pretty sure it's
D. None of the above
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the .
The variable y represents the .
The deli charges $ .
Answer:x=cost per pound of meat
Y=Cost per pound of cheese
The deli charges 4.50 for a pound of meat
Step-by-step explanation:
Answer:
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
✔ cost per pound of cheese
.
The deli charges $
✔ 4.50 for a pound of meat
.
Step-by-step explanation:
Why can prime number be a multiple of any other number except itself
Answer:
the factors of prime numbers are only 1 and itself
Answer:
A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.
Step-by-step explanation:
NEED HELP PLEASE!!!!
Answer:x=35
Step-by-step explanation:
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x
Answer:
12.9x - 9
your welcome
What are the different ways to write multiplication in math
Answer:
Different ways to write multiplication include:
3 times 5
3x5
(3)(5)
3(5)
(3)5
etc
Step-by-step explanation:
I hope this helps!
Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.
Step-by-step explanation:
How many fewer boys’ shoes were 19 cm long than 22 cm long?
Answer:
6 boys
Step-by-step explanation:
I had a quizlet
Hhhhhhhhhhhhhheeeeelllpppppp
Answer:
c
Step-by-step explanation:
find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.
Answer:
401
Step-by-step explanation:
301 + 73 + 27
Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.
Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.
301 + 73 + 27 =
= 301 + (73 + 27)
= 301 + 100
= 410
The sum of two numbers is 60 and the difference is 6. What are the numbers?
Answer:
33 and 27
Step-by-step explanation:
60 ÷ 2 is 30
33 is 6 more than 27
What is the u equal to -4=u/2-8
Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.
Step-by-step explanation:
Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!
Answer:
Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.
Step-by-step explanation:
I have marked the correct dots in green.
(1, -7) slope = -1 writing linear equations given point and slope
Answer:
The answer is
[tex] \huge y = - x - 6[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]
We have the final answer as
[tex]y = - x - 6[/tex]
Hope this helps you
When multiplying more than two integers, describe how you know the sign of the product
Answer:
The number of negative integers given determines the sign of the product.
Step-by-step explanation:
The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.
Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.
Therefore, the number of negative integers given determines the sign of the product.
1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle
Answer:21
Step-by-step explanation:
x=length
x(x-6)=315
x^2-6x=315
x^2-6x-315=0
(x-21)(x+15)
x=21, x=-15
x cannot be negative so the only answer is 21
Solve for X. PLEASE HELP
Answer:
xxtentacion for life
Step-by-step explanation:
Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds
Answer:
The backpack weighs more
Step-by-step explanation:
9.5kg = 20.94391 lbs
Answer:
a backpack that weighs 9.5kg
Step-by-step explanation:
kilogram (kg) is stated to be 2.2 times heavier than a pound