Answer:
Rule : x subtracted by 12 = y , first ? = 6 (6,-6) , second ? = -22 (-10,-22)
Verify the identity.
Please show your work.
Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
Directions: Evaluate the following combinations and determine the value of the
unknown. Write the complete solutions in your answer sheet.
1. nCs = 126
2. 10Cr= 252
3. C(n, 5) + 8 = 9
4. C(n+1, 7) = 01
5. C(6r, 6-1) = 12 + C(4,2)
what is the answer with solution po
Answer:
1. C(9,4) : n=9, s=4
2. C(10,5) : r=5
3. C(5,5) : n=5
4. C(7,7) : n=6
5. C(18,17) : r=3
Step-by-step explanation:
If cos theta =12/13.find 1+cot theta
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
Plss help mark brain list a lot of point
Answer:
arc TQ= 69° (44 + 25)
arc QR = 155° (180 - 25)
arc TS = 111° (360 - 44 - 25 - 155 - 25)
arc SQR = 335° (360 - 25)
arc RQT = 224° (155 + 25 + 44)
Ms. Huck can dig 4 holes in 5 hours. Mr Varga can dig holes 3 times as fast. What is the constant of proportionality
between the number of holes Mr. Varga can dig and the number of hours?
Answer:
yes
Step-by-step explanation:
How do you think this data would look if it only looked at how GenZ uses mobile and online banking? Why?
Answer:
People in GenZ will definitely be using more Mobile Banking App. Because this generation is very attached to such devices. I have seen a very good amount of examples where people send money, pay bills, and even receive money through their phones. Most of the things can be done through the Mobile Banking App instead of using other methods.
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answer:
3
one
will represent
the student
Which of the following is equal to / 9.4
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
Dave's Candy Store is having a 15% off sale on gourmet candy. Jamal paid $37.40 for a gourmet candy basket that was on sale. What was the original price of the candy basket?
The original price of the gourmet candy is $44, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given, the percent of discount at Dave's candy store is 15% = 0.15.
Sale price of a gourmet candy is $37.40.
Let, the original price of the gourmet candy is x.
Therefore, [x - (x × 0.15)] = 37.40
⇒ (x - 0.15x) = 37.40
⇒ 0.85x = 37.40
⇒ x = (37.40/0.85)
⇒ x = 44
Therefore, the original price of the gourmet candy is $44.
Learn more about a linear equation here: brainly.com/question/2984088
#SPJ2
6:45 + 85
No links pls
so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05
8:05 is the answer
Answer:
Step-by-step explanation:
If the value of "y" varies directly with "ex"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
y = 2
Answer:
8/5
Step-by-step explanation:
We can use a proportion to solve this question, if we put the values of x on the left of the equal and the value of y on the right we have
20 : -4 = -8 : y
y = (-4*-8)/20
= 32/20
= 8/5
Question 18 (5 points)
If two lines are perpendicular to the same line, then they are
to each other.
A) congruent
B) perpendicular
C) parallel
D) complementary
Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?
A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)
Answer:
C. 4x + x < 150
Step-by-step explanation:
x = Joey's points
4x = Liz's Points
together they have fewer than 150 points means the inequality is < 150
So the answer is: 4x + x < 150
Answer:
This may help you I think so
A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illuminance at sunset for the past 10 days was as follows: 406, 385, 389, 383, 352, 379, 388, 343, 368, 387 lux. Construct a 95% confidence intervals for the average illuminance at sunset. Assume that the illuminance at sunset is approximately normally distributed.
Answer:
(364.595 ; 391.405)
Step-by-step explanation:
Given the sample data:
406, 385, 389, 383, 352, 379, 388, 343, 368, 387
Using calculator :
Sample mean, xbar = 378
Standard deviation, s = 18.74
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at df = 24 ; 0.05 = 2.262
Margin of Error = 2.262 * 18.74/√10 = 13.405
Lower boundary = (378 - 13.405) = 364.595
Upper boundary = (378 + 13.405) = 391.405
(364.595 ; 391.405)
HELP MEEEE PLEASEEEEEE
Answer:
The area of the circle is 27
Step-by-step explanation:
Using the formula given to us, we know that the area of the circle = pi times the radius squared. This gives us an indication of what we need to do. We must first understand that the radius of the circle is 3. Multiply the radius by the 2nd power (multiply 3 by 3), and we get 9. They then ask us to substitute 3 for pi, meaning instead of pi times 9, it's 3 times nine, and 3*9=27. And there is your answer.
1. I need some help
2. Answer question step by step
3. Dont Troll or you will be reported
Answer:
The shapes are triangles with same base and height
The area of a triangle is the half of the product of the base and height
A = 1/2bh is same for both shapes, so they have same area
PLEASE HELP ASAP ???
Answer:
-1
Step-by-step explanation:
1,000 meters is the same as 1
It is equal to 1 kilometer
Please mark brainliest
Violet is making pizzas for a pizza party. Each pizza requires 5/16 pound of cheese. How many pounds of cheese does she need to make 11 pizzas? Express your answer in simplest form.
Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.
Answer:
24
Step-by-step explanation:
Sara = x age
Amy = x+2 when Sara x = 22 Amy is x + 2 = 24
Product of ages = 528 so............
x(x+2) = 528
x² + 2x - 528 = 0 solve for x I did it graphically first to get x = -24, 22
(x+24) (x-22) = 0
(x+24) = 0 (x-22) = 0
x = -24 x = 22 since you really can't have a negative age
Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours?
325 miles
398 miles
400 miles
406 miles
Answer: 406 miles
Step-by-step explanation: First you have to figure out how many miles he traveles per hour and to do that you divide 174 by 3 to get 58. Then multiply that by 7 because that is the amount of hours he should be traveling to get 406
Answer:
406 miles
Step-by-step explanation:
First find how far Martin can travel in 1 hour, then multiply by 7(hours):
174 ÷ 3 = 58
58 × 7 = 406
5647+34566= please hurry and answer don't put the answer in a link
Answer:
40213........................
Answer:
5647+34566=40213 is your answer
I really need help?!
Answer:
the answer is a
Step-by-step explanation:
Giving Brainlest !!!!! If your bank offered you 3% interest on $5,000 in your savings account , how much money would you have in your account at the end of the year after interest ?
Answer: $5,150
Step-by-step explanation:
5000x0.03=150+5000=5,150
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
answer: y+2/3x+5
Step-by-step explanation:
because
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
by 4
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
The deer population at the local reserve grows exponentially. The current population is 125 deer and the relative growth rate is 16% per year. Find the number of years required for the deer population to be 400.
Answer:
About 7.84 years before the deer population is 400
Step-by-step explanation:
So first we write our equation
125(1.16)^x = 400
Then we divide all sides by 125
1.16^x=3.2
x log 1.16 = log 3.2
06445798922x=0.50514997832
x= 7.83688700862
7.83688700862 years to go!