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
Simplify (3^z)^6 in exponent notation
Answers
Answer:
3^6z
Step-by-step explanation:
you multiply 6 and z since they are exponets and one is in a (
Answer:
3 to the power of 6z of 3^6z
Step-by-step explanation:
A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
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if anything, I would say C. I can't see the image too clearly, but I can see what you typed out
Step-by-step explanation:
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answers
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
0 - (-4) =
Please help
Answers
Answer:
4
Step-by-step explanation:
-(-a)=a
0+4
=4
[tex] \huge \purple{\tt{Answer:}} [/tex]
0-(-4)
= 0 + 4
= 4
Brady is conducting an experiment using a spinner with four different colors: red, orange, blue, and green. He spun the spinner 40 times and recorded the following data.
Based on the data in the table, if Brady spins the spinner 240 times, he predicts the spinner will land on red roughly A. 48, B. 24, C. 12, D. 36 times. He also predicts the spinner will land on green roughly A. 108, B. 72, C. 48, D. 36
more times than it will land on red.
Answers
Answer:
out of 240, the prediction of landing on Red would be 36
out of 240, the prediction of landing on Green would be 108
Step-by-step explanation:
out of 240, the prediction of landing on Red would be 36 because:
240 x 0.15 = 36
out of 240, the prediction of landing on Green would be 108 because:
240 x 0.45 = 108
a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?
Answers
Hi there!
Ok so we know that every nickel is €5 and every dime is €10...
Let think...
If it is 30 nickels it would be 150 cents and would also be 1.50$...
Now we know that there is 42 dimes left.. let see if it can be equaled.
[tex]42[/tex]·[tex]10=4.62[/tex]
Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.
Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...
[tex]44[/tex]·[tex]5=2.20[/tex]
[tex]72-44=28[/tex]
[tex]28[/tex]·[tex]10=2.80[/tex]
[tex]2.20+2.80=5.00[/tex]
Therefore, the total of dimes would be 28...
please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?
Answers
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)
The whole bar weighs 60 grams. How much does 1/4
of the bar weigh?
Answers
Answer:
15 grams
Step-by-step explanation:
Answer:
1/4 of the bar is 15 grams
Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?
Answers
Answer:
4.9%
Step-by-step explanation:
Sorry if the picture is scuffed. Pls help fast
Answers
Answer:
C
Step-by-step explanation:
the domain would be all positive real numbers, including zero
Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. what is the order of these distanced from least to greatest?
Answers
Answer:
1/4, 3/8, 7/12, 5/6
Step-by-step explanation:
First, change all the fractions so they have the same denominators. The least common denominator is 24. 1/4=6/24 3/8=9/24 5/6=20/24 7/12=14/24
Now, put them in order from least to greatest: 6/24, 9/24, 14/24, 20/24
800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?
Answers
Answer:
8ile 6 yı çarp sonucu 800 ile topla 48+800= 848
Pls help extra points and mark brainlist
Answers
Answer:
80 + 30h
Step-by-step explanation:
(10 * 8) + (10 * 3h)
=80 + 30h
[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.
[tex]\tt 10*8=80\\10*3h=30h[/tex]
Then, we add them together to get the answer.
[tex]\tt 80+30h[/tex]
Find the value of x if you solve one please say the question number and you dony have to show work
Answers
Answer:
question 1-- x=15
question 2-- x=21
2. x=21
3. x=42
4. x=26
5. x=14
Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:
A)
–1∕24
B)
3∕8
C)
–2∕3
D)
6
Answers
Answer:
C) -2/3
Step-by-step explanation:
1/4p = 4/6 - 5/6
1/4p = -1/6
6p = -4
p = -4/6 or -2/3
What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²
Answers
Answer:
314.16 in²
Step-by-step explanation:
Answer:
[tex]A[/tex] ≈ [tex]314.16[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A = \pi (10)^2[/tex]
[tex]A = \pi (100)[/tex]
[tex]A[/tex] ≈ [tex]314.16[/tex]
Solve the inequality:
15 ≤ 3 − 2x
Answers
Divide both sides by 2
2.2 Subtract 6 from both sides
x ≤ -6
2.000 X + 12.000 ≤ 0
Answer: x ≤ -6
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answers
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
y = 10 x = 4
Step-by-step explanation:
Answer:
y = 10x - 30
Step-by-step explanation:
x = 5
5 x 10 = 50
50 - 30 = 20
y = 20
x = 6
6 x 10 = 60
60 - 30 = 30
y = 30
x = 7
7 x 10 = 70
70 - 30 = 40
y = 40
x = 8
8 x 10 = 80
80 - 30 = 50
y = 50
If x= 9 in what is the surface area of the geometric shape formed by this net?
Answers
Answer:
D
Step-by-step explanation:
Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2
Please help!!! Have been stuck on this problem for the past hour. can someone be so kind and explain it to me. I have a Quiz tomorrow on this. solving systems using substitution y = - 7y + 3; Y+ 7x = 10
Answers
Answer:
Step-by-step explanation:
y = -7x+3
substitute -7x+3 for y in the other equation.
y + 7x = 10
(-7x+3) + 7x = 10
3 = 10, a contradiction, so there is no solution.
If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.
y = -7y + 3 and
y + 7x = 10, is that correct? The previous response has an x in the first sentence, so I wanted to ask.
y = -7y + 3 simplified is
8y = 3
y = 3/8 (0.375 as a decimal)
If we sub 0.375 for y in the second equation, we can solve for x.
y + 7x = 10
0.375 + 7x = 10
7x = 9.625
x = 1.375
So y = 0.375 and x = 1.375
Checking the solution:
0.375 + 7(1.375)
= 0.375 + 9.625 = 10
and 0.375 = -7(0.375) + 3
0.375 = -2.625 + 3
0.375 = 0.375
can someone pls just give me a simple answer -6(2z - 4) use Z = 3
Answers
Answer:
12
ignore this i have to put words in to give u the answer
Answer:
-6 (this is easy math)
Help ASAP Draw a tape diagram representing the following situation. You may need to decide what to present with a variable.
At an athletic banquet, an equal number of athletes were seaterd at each of the 7 large tables, and 24 parents were seated together on the other side of the room. There were 87 guests attending.
Answers
Answer:9
Step-by-step explanation:87-24=63 and 63 divided by 7 equals 9
Please please give answer for this question
Answers
NEED HELP ASAP!!!!!!!
Answers
Step-by-step explanation:
It's must be -3 ...............
An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of answer choices 0.451751 is the proportion of variability of Gini Coefficient unexplained by our least squares line. 0.451751 is the proportion of variability of Years explained by our least squares line. 0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines 0.451751 is the proportion of variability of Years unexplained by our least squares line.
Answers
Answer:
0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines
Step-by-step explanation:
Given
[tex]R\ squared = 0.451751[/tex]
To predict: Gini by year
Required
Interpret the R squared
In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.
In this question, the variable to predict is Gini:
From the list of options, (c) is correct
What is the answer to - y¹⁵・- y¹² ?
Answers
Answer:
y^3
Step-by-step explanation:
- y^15-12
two negatives is a positive
Bc according to the product rule you add the exponents when two numbers with the same base or in general are multipled
exact volume of this cylinder
Answers
I am taking this quiz but I'm pretty sure its....c
Answer:
Volume=πr2h=π·42·8≈402.12386
Step-by-step explanation:
which statement best describes the roots of f(x)=x^2-6x+25?
Answers
Answer:
permiteme veré en álgebra baldor
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The quadratic equation is given below.
f(x) = x² - 6x + 25
Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.
Then the roots of the equation are given as,
[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]
Simplify the equation further, then we have
x = 3 ± 4i
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
More about the roots of the equation link is given below.
https://brainly.com/question/12029673
#SPJ2
a. Find the value of x
below
Answers
#The x side is same with 80° so
11x + 3 = 80°
11x = 80 - 3
11x = 77
x = 7
Answer : 7