Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer:
122
Step-by-step explanation:
Can someone help me out on this?
Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
Think about the methods you have for comparing two probabilities to decide which is greater. In your Learning Log, create an example and explain two different strategies for comparing probabilities. Title this entry "Comparing Probabilities" and label it with today's date.
Answer:
Step-by-step explanation:
Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...
[tex]\frac{3}{4} > \frac{1}{4}[/tex] ... 3/4 is a much higher probability than 1/4
The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.
96% > 54%
PLS HELP ILL MARK YOU BRAINEST DUE SOON
Answer:
A, B, C, D or simplify all of them
Step-by-step explanation:
Answer:
all 4 of them
Step-by-step explanation:
a. 29x + 92 = 29x - 11
0x + 92 = -11
0x ≠ -103
b. 29x + 11 = 29x - 11
0x + 11 = -11
0x = -22
0 ≠ -22
c. 29x - 29 = 29x - 11
0x = 18
0 ≠ 18
d. 29x + 29 = 29x - 11
0x + 29 = -11
0x = -40
0 ≠ 40
For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains
Answer:
24 ft of cord
Step-by-step explanation:
8ft = 3 chains
16 ft = 6 chains
24 ft = 12 chains
OR
8 x 3 =24
Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!
which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)
Answer:
3b+b and 2(2b)
Step-by-step explanation:
BRAINLIEST APPRECIATED!
THANKS!
what is 30=8+4(z-2) step by step?
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?
Answer:
It depends on how many teacher has
Step-by-step explanation:
52 children divided by number of teacher
What is the value of 120?
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
2xー1+2-2
solve this and show work
Answer:
2x - 1
Step-by-step explanation:
2x−1+2−2
=2x+−1+2+−2
Combine Like Terms:
=2x+−1+2+−2
=(2x)+(−1+2+−2)
=2x+−1
Answer:
x = 1/2Step-by-step explanation:
We need to add -1 to each side of this to get rid of the -1 in the equation.
2x - 1 + 2 = 2
2x + 1 = 2
We need to subtract 1 from each side.
2x = 1
x = 0.5
Checking:
2(0.5) - 1 + 2 = 2
1 - 1 = 0 + 2 = 2 (Checks out)
ANSWER: x = 1/2is 10/2 an irrational number?
Answer:
yes it is because it is expressed in the form of a p/q
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.
so yes 10/2 is a rational number
oh and i mean yes its rational no its not irrational :)
No, it is not an irrational number.
Irrational numbers are those who cannot be turned into a fraction.
10/2 is a fraction. Therefore, it is a Rational number.
[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]
To do so, divide the numerator (Top number) by the denominator (Bottom number).
Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?
Answer:
22.22222222
Step-by-step explanation:
Answer:
the race is 22 miles long.
Step-by-step explanation:
p %
~~ = ~~
w 100
Find the surface area of the cube shown below
Answer:
the answer is 37.5cm^2
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
Write 2.08 x 10^2 in standard form.
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
Learn more about Scientific notation here:
https://brainly.com/question/1740231
#SPJ2
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
what is y=3x^2+24x+45
Help me I need help fast it is due soon!
Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer
A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second for months. How much did the baby gain in the last four months?
Answer:
3.25lbs in the last 4 months
Step-by-step explanation:
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?
Write the equation to be used to solve this equation.
Answer:
i think 4 attires
Step-by-step explanation: