Answer:
Here we have the equation:
6*sin²(x) + 2*sin²(x) = 1
and we want to find a solution in the range:
-90° < x < 90°
First, we can take the sin²(x) as a common factor to get:
6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1
8*sin²(x) = 1
now we can divide both sides by 8
sin²(x) = 1/8
now we can apply the square root to both sides:
√(sin²(x) = √(1/8)
sin(x) = √(1/8)
Now remember the inverse sine function, Asin(x)
such that:
Asin( sin(x) ) = sin( Asin(x) ) = x
If we apply that to both sides, we get:
Asin( sin(x) ) = Asin(√(1/8))
x = Asin(√(1/8)) = 20.7°
x = 20.7°
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answer:
3 feet per minute
Step-by-step explanation:
Find how far the baby gets per minute by multiplying 3/4 by 4:
3/4(4)
= 3
So, the baby crawls 3 feet per minute
Need help ASAP please
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
someone help please
Answer:
x=4
Step-by-step explanation:
3/4x +4 = 7
3/4x +4-4 = 7-4
3/4x = 3
Multiply each side by 4/3
4/3 * 3/4x = 3 *4/3
x = 4
Answer:
x = 4
Step-by-step explanation:
3/4x + 4 = 7
3/4x = 3
To remove the denominator, we multiply by 4 on both sides
3x = 12
x = 4
Instructions: Find the missing side of the triangle.
25
20
х
X =
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 20² = 25²
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Dorothy put $470 into a savings account for one year. The rate of interest on the account was 5.5%. Find the interest earned on the amount.
Answer: $25.85 assuming annual compounding.
Step-by-step explanation:
PV=470
I/Y=5.5
N=1
CPT_FV
please help, i really dont understand. will give brainliest.
At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
*The answer is not 120 btw*
Answer:
I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just
pi = c/d solve for d?
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
pls help asap !!!!!!!
Answer:
I think that the answer is 1 to1
What are the solutions to this quadratic equation? -2x2+x+4=0
Answer:
=1±33√4
Step-by-step explanation:
Answer:
[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]
Step-by-step explanation:
It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±
This answer is correct on edmentum/plato
A new scooter is valued at $15 000.
At the end of each year its value is reduced
by 15% of its value at the start of the year.
What will it be worth after 3 years?
here
p= 15000
r=15%
t= 3 yrs
now
depreciation = p(1-r/100)^t
= 15000(1-15/100)^3
=9211.875
=9212 or 9211.88
if f(x)=3(x+5)+4/x, what is f(a+2)
Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:
m∠A=45∘
m∠B=53∘
m∠C=82∘
What is the measure of angle Y?
9514 1404 393
Answer:
53°
Step-by-step explanation:
The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.
m∠Y = 53°
Answer: 53
Step-by-step explanation:
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12
Which of the following is an integer?
95.2
73
54
41
-26
Answer:
95.2 is not an integer
and other are integers
The expression 2r^2+18x +40 has a greatest common factor of 2.
Once the GCF is factored out, what are the two binomial factors
left that complete the equation.
what are the 2 missing binomial factors?
2(x^2+9x+20)
2(x^2+5x+4x+20)
2{x(x+5)+4(x+5)}
2(x+5)(x+4)
How much wrapping paper did he use ,in square inches
Answer:
96.76 square inches
Step-by-step explanation:
5.2x5.2=27.04
6.7x5.2/2=17.42
17.42x4=69.68
69.68+27.04=96.76
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
PLS HELP! Given the angles in the diagram below, what is m<2
A hot air balloon is flying at an altitude of 2926 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 25°
25
°
, how far is the house from the pilot? Round to the nearest tenth.(1 point)
Choices:
The house is 1236.6 feet from the pilot.
The house is 6274.8 feet from the pilot.
The house is 3228.5 feet from the pilot.
The house is 6923.5 feet from the pilot.
Answer:
The house is 6274.8 feet from the pilot.
Step-by-step explanation:
HELPPP PLEASE!!!
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
Answers:
The expression is 12n
He reads 84 books in 7 months
==================================================
Explanation:
For 1 month, he has read 12*1 = 12 books
For 2 months, he has read 12*2 = 24 books
For 3 months, he has read 12*3 = 36 books
and so on
If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.
If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.
I don't need a language ABC
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
What would be the 1st step in solving this problem:
(4-2+6) +9x7
Answer:
doing whatever is in the brackets or paranthesis
Plz tell me how to do question 18
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator.
Answer:
- Hello Risap!
[tex] \large{ \red{\tt{❃ } \: \blue{ PROVIDED}}}[/tex] : Discount % = 12% & Selling price [ SP ] = Rs 1760[tex] \large{ \tt{ \red{❀ \: \blue{TO \: FIND}}}}[/tex] : Marked price of the calculator [ MP ][tex] \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}[/tex]
[tex] \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}[/tex]
[tex] \large{ \tt{⟶ \: 88 \: MP = 176000}}[/tex]
[tex] \large{ \tt{⟶ \: MP= \frac{176000}{88} }}[/tex]
[tex] \large{ \tt{⟶ \: MP = Rs \: 2000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}[/tex]
Hope this helps! Let me know if you have any other questions regarding my answer and also , notify me if you need any other help! :)what is x 4 +7x 2 +10
Answer:
[tex]\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
Step-by-step explanation:
[tex]x^4+7x^2+10:\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP
Answer:
(10,-1)
Step-by-step explanation:
A translation to the right is (x+5)
A translation down 2 is (y-2)
(5+5, 1-2)
(10,-1)
Answer:
(10, - 1 )
Step-by-step explanation:
A translation right 5 units means add 5 to the x- coordinate
A translation down 2 units means subtract 2 from the y- coordinate
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )
i really need your help
if f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Answer:
18x-3
Step-by-step explanation:
f(x)= 3x + 10x
g(x)=5x - 3
f(x)+g(x) = 3x + 10x + 5x - 3
Combine like terms
= 18x -3
Answer:
3^x+15x-3
Step-by-step explanation:
this is the right answer i just did it
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