Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?
Answers
==========================================================
Rule:
If cos(A) = sin(B), then A+B = 90
This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.
Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.
The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.
-------------------------
Using that rule, we can say
cos(77) = sin(theta)
leads to
77+theta = 90
and that solves to
theta = 90-77 = 13
Related Questions
how to factorise 5h^2-12hg
Answers
Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
Write the equation of the line graphed below in slope-intercept form (y=mx+b)?
Answers
Tell me if you need explanation
(SAT Prep) Find the value of x.
Answers
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
In the left triangle, the angles are 35 + 90 + angle = 180. The third angle of the left triangle is 55 degrees.
Now recall that angles drawn from a straight line all add up to 180 degrees
So 55 + 60 + third angle = 180. Thus, the third angle is 65 degrees.
Within the middle triangle, we now have 2/3 of the angles. 90 + 65 + third angle = 180. Thus, the third angle is 25 degrees.
25 degrees is right next to angle X. As we have already stated, they add up to 180 when adjacent.
So 180-25 = 155 degrees, the value of angle X.
Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT
Answers
Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
Find the value of x.
30°
15x
A. 4
B. 10
C. 12
D. 2
Answers
Answer:
10 is the answer
Step-by-step explanation:
Help with this one too!!! It will mean a lot
Answers
Answer:
Step-by-step explanation:
problem 13:
12g+24, 3(4g+8)
problem 14
9a+6, 3(a+2)+6a
6(a+1)+3a
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answers
Answer:
solution: x=6
Step-by-step explanation:
8(2x-14)+13=4x-27
next, distribute 8 through the parentheses
16x-112+13=4x-27
calculate the sum
16x-99=4x-27
move the variable to the left-hand side and change it's sign
16x-4x-99=-27
move the constant to the right-hand side and change it's sign
16x-4x=-27+99
collect like terms
12x= -27+99
calculate the sum
12x=72
divide both sides of the equation by 12
x=6
final solution: x=6
Ok so look at the image i need help thanks hUrry please :D I GIVE BRAINLIEST IS CORRECTO
Answers
Answer:
The answer is 11.99 in gallons
47.96 in pints
Step-by-step explanation:
Hope this helps
what the word form of 500.2
Answers
Answer:
How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.
I count on the best
el área de un rectángulo es 6 x al cuadrado más 2x en cm Determine su base y altura
Answers
Answer:
Tres respuestas posibles son:
2 y 3x^2 + x
2x y 3x + 2
x y 6x + 2
y hay muchas mas.
Step-by-step explanation:
Hay muchas respuestas posibles.
6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)
juan dimes received a single payment loan from his loan for $4,000. he agreed to repay the loan in 90 days at an interest rate of 8.5% exact interest. what is the maturity value of his loan when he pays it back in 90 days. 
$83.84
$4,085.00
$4,083.84
$85.00
Answers
9514 1404 393
Answer:
(c) $4,083.84
Step-by-step explanation:
The amount due is ...
A = P(1 +rt)
where P is the amount borrowed, r is the annual rate, and t is the number of years. For "exact interest", we use 365 days in a year, so the number of years is 90/365.
A = $4000(1 + 0.085×90/365) ≈ $4083.84
Juan's loan will have a value of $4083.84 at maturity.
Answer:
4008.5
Step-by-step explanation:
You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?
Answers
Answer:
$380.00
Step-by-step explanation:
Regular time: $8.00 x 40 = $320.00
Overtime: (8 x 1.5) $12.00 x 5 = $60.00
Total: $380.00
Neeed help please...
Answers
Answer: A
Step-by-step explanation:
A utility company charges $0.12 per kilowatt-hour for energy a customer uses.They give a credit of $0.0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves.A customer has a charge of $82.04 and a credit of -$4.10 on this mouth bill. How many kilowatt-hours did they use (Nearest-whole number?
Answers
Answer:
2,324.
Step-by-step explanation:
Given that a utility company charges $ 0.12 per kilowatt-hour for energy a customer uses, and they give a credit of $ 0.0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves, if a customer has a charge of $ 82.04 and a credit of - $ 4.10 on this mouth bill, to determine how many kilowatt-hours did they use the following calculation must be performed:
(82.04 / 0.12) + (-4.10 / - 0.0025) = X
683,666 + 1,640 = X
2,323.66 = X
Thus, rounded to the nearest whole number, users used 2,324 kilowatts per hour.
Celine is undecided as to whether to take a French course or a chemistry course. She estimates that her probability of receiving an A grade would be 1/2 in a French course and 2/3 in a chemistry course. If Celine decides to base her decision on the ip of a fair coin, what is the probability that she gets an A in chemistry
Answers
Step-by-step explanation:
1/2=0.52/3=0.6670.5×0.667=0.3331 in 3 chance of getting an A in Chemistry
Write the sentence as an equation.
163 reduced by p is 291
Answers
Answer:
163 - p = 291
Step-by-step explanation:
Answer:
Here are some examples.
f(x) = [tex]x^{4}[/tex] - 6
f(x) = 3[tex]x^{2}[/tex] - x + 3
f(x) = 3[tex]\sqrt[]{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
Hope I could help. Brainliest??
perform the indicated operation (x-4)(x+8)
Answers
Answer:
X^2+4X-32Step-by-step explanation:
I assume you want to simplify this.
Use distributive property:
x^2+4x−32 should be your answer.
Answer:
x^2+4x-32
Step-by-step explanation:
(x-4)(x+8)=x^2+8x-4x-32
x^2+4x-32
After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answers
Answer:
3 scoops for $3.69 is the best deal
What is the slant height for the given pyramid to the nearest whole unit height
Answers
Answer:
Step-by-step explanation:
The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.
base of right triangle = 6 cm
height of right triangle = 8 cm
hypotenuse = √(6²+8²) = √100 = 10 cm
A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.
Answers
Answer:
D. The amount of fabric needed for each pair of shorts
Step-by-step explanation:
i just did the quiz
Answer:
the amount of fabric needed for each pair of shorts or D
Step-by-step explanation:
Plz help ASAP plz help
Answers
Answer:
t=12
Step-by-step explanation:
5t / 4 = 18 - 3
5t / 4 = 15
5t = 15 x 4
5t = 60
t = 12
Hope that helps!
Answer t is 12
Step by step explanantion
Solve for x in the problems below
Answers
Answer:
a)......1+2=90 degree.....
so,x+x-20=90=2x=110
x=55degree
Step-by-step explanation:
b)let it be a triangle....angle1=56
2=y
3=29....by vertically opposite angles
by ext angle property... x= 1+3=56+29= 85
Answer:
55 degrees is the answer
Need help can someone plz help me
Answers
Answer:
16.67%
Step-by-step explanation:
part: 400
percent: x
whole: 2,400
400=x(2,400)
divide both sides by 2,400 to get .1666
.1666=x
move the decimal inwards two times to make it a percentage, and round up the last didget
16.67%
if (1/10)x = 11/12, what's the value of x
Answers
Answer:
(1/10)x = 11/12
x=11/12×10/1=110/12=55/6or9 1/6
Answer:
55/6
Step-by-step explanation:
(1/10)x = 11/12
x = 11/12 ÷ 1/10
x = 11/12 × 10
x = 110/12
x = 55/6
A student wrote and simplified an expression to find the perimeter of this 5 points
rectangular garden. The student made an error. Which step did the
student make the mistake? *
2x
5x + 1
Step 1: 5x + 1 + 5x + 1 + 2x + 2x
Step 2: 14x + 1 + 1
Step 3: 14x + 2
Step 4: 16x
Answers
Answer:
Step 4.
You can’t add 14x and 2
Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Do you expect the mean or the median of these toenail arsenic levels to be larger?
Answers
Answer:
The mean, because the outlier values are above the mean.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all values of the data-set divided by the number of values.
Median:
The median of a data-set is the value that separates the lower 50% from the upper 50% of the sorted set.
0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Finding the median, since it is easier.
8 values, the median is the mean between the 4th and the 5th values. (3.4+3.9)/2 = 3.65
The values below the median are quite close to it, while those above it are considerably more distant, considered outliers, which means that we should expect the mean to be larger than the median.
Help me! what is 2⋅x=6 ??? Brainliest! plus 70 points!
Answers
Answer:
x=3
Step-by-step explanation:
2 times a number equals 6
you can divide 6 by 2 to get 3
and then to prove it, make x=3 and rewrite
2 * 3 = 6
Answer:
x=3
Step-by-step explanation:
2⋅x=6
First, we multiply the 2 and the x
2x=6
Next, we transfer the 2 over to the 6. When we do that, we are dividing because we do the opposite of multiplication.
x=6÷2
Solve!
x=3
Hope this helps!! Please give Brainliest!!
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answers
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
simplificati raportul algebric
Answers
Answer:
F euuehejuehehheeeuzkvr
Answer:
what is the number
Step-by-step explanation:
i dontvno the answer beacause it is blurred
1525 hours denotes 3:25 pm
Answers
it will be
10 hours
and 52 mintues
Answer:
15:25 is the same as 3:25 pm.
Step-by-step explanation:
In military time, they use 24 hour clock, instead of a 12 hour one. So instead of changing to 1 after 12, continue counting regularly, so the 15th hour would be the same as the 3rd hour in the pm.