take a peek at your Unit Circle, let's notice that in Quadrant IV the cosine is positive and the sine is negative, or namely the adjacent side is positive and the opposite side is negative, so hmmm
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{41}}\qquad \impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]\pm\sqrt{41^2-4^2}=b\implies \pm\sqrt{1665}=b\implies \pm 3\sqrt{185}=b\implies \stackrel{IV~Quadrant}{-3\sqrt{185}=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill sin(\theta )=\cfrac{\stackrel{opposite}{-3\sqrt{185}}}{\underset{hypotenuse}{41}}~\hfill[/tex]
What is the solution to the equation x − 15 = − 5?
75
20
− 20
− 75
Answer:
x=10
Step-by-step explanation:
Given x-15=-5
add both sides by 15
x-15+15=-5+15
x=10
If the sales tax is 8 percent, the wealthy family pays, to one decimal place, _____ percent of its annual income in sales tax
Answer:
23
Step-by-step explanation:
trust me this is not the answer I got it wrong hope it helps a little
2. Find the circumference?
I need help I don’t know if that is the right answer
Answer:
50.24cm
Step-by-step explanation:
Yes, you got it right. The formula for circumference is pi times diameter, so 3.14x16=50.24. Hope this helps <3!
The hardware store sells white buckets, which hold 5 liters of water, and red buckets, which hold 6 liters.
Jayce bought 10 buckets. His buckets will hold 55 liters in total. How many of each type of bucket did
Jayce buy?
white buckets
red buckets
Submit
Find the equation of the line that passes through the point (8, - 3) and is perpendicular to the line y = 1/2x - 2.
Answer: y+3=0.5(x-8)
Step-by-step explanation:
The length of adult parakeets is normally distributed. If the mean length is 8 inches with a standard deviation of 0.25 inches, what is the probability that a randomly selected adult parakeet will be less than 7.55 inches long?
There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given that:
Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:
z = (7.55 - 8) / 0.25 = -1.8
P(z < -1/8) = 0.0395
There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long
Find out more on z score at: https://brainly.com/question/25638875
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS
Answer:
DC
Step-by-step explanation:
DC is the diameter AE is the radiusDB is a chordBC is very short cordSo the series is
DC>DB>AE>BCAnswer:
b. DC
b. 15
Step-by-step explanation:
Point A = center of circle
The widest part of the circle is the diameter. The diameter is a straight line that touches the circumference of the circle and passes through the center of the circle. Therefore, the diameter is DC, and this is the longest line segment.
The radius of a circle is a straight line from the center of the circle to a point on the circumference. Therefore, AE = radius of the circle.
The radius of a circle is half the length of the diameter.
Therefore, if AE = 7.5, then DC = 2 × 7.5 = 15
Factor completely 16x8 − 1. (4x4 − 1)(4x4 1) (2x2 − 1)(2x2 1)(4x4 1) (2x2 − 1)(2x2 1)(2x2 1)(2x2 1) (2x2 − 1)(2x2 1)(4x4 − 1).
The factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c[/tex]
What is the product result of (a+b)(a-b) ?Suppose two numbers are there as 'a' and 'b'.
Then, we get:
[tex](a+b)(a-b) = a(a-b) + b(a-b) = a^2 -ab + ab - b^2 = a^2 - b^2\\(a+b)(a-b) = a^2 - b^2[/tex]
For the considered case, factoring the considered expression [tex]16x^8 - 1[/tex] by rewriting it as:
[tex]16x^8 - 1 = (4 \times 4 \times x^4 \times x^4) - 1^2 = (4x^4)^2 -1^2\\\\\\[/tex]
Now, since we've got [tex](a+b)(a-b) = a^2 - b^2[/tex], therefore,
[tex]16x^8 - 1 = (4x^4)^2 -1^2\\16x^8 - 1 = (4x^4 +1 )(4x^4 - 1)[/tex]
The second term can also be factored using same property, as shown below:
[tex]16x^8 - 1 = (4x^4 +1 )(4x^4 - 1) = (4x^4 + 1)((2x^2)^2 - 1^2) \\16x^8 - 1 = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)\\\\\text{Rearranging the terms, we get}\\16x^8 - 1 = (2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
Therefore, the factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
Learn more about exponentiation here:
https://brainly.com/question/15722035
Answer:
Option B
Step-by-step explanation:
I took the test.
I need help with my khan academy, I don't understand anything and it's hard to do my work..
Answer:
(x - 7)² = 9
Step-by-step explanation:
x² - 14x + 40 = 0 ( subtract 40 from both sides )
x² - 14x = - 40
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 7)x + 49 = - 40 + 49
(x - 7)² = 9
Answer:
[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]
Step-by-step explanation:
First of all, let's move the constant term to the right side of the equation:-
[tex]\sf x^{2} -14=-40[/tex]
To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.
[tex]\sf x^2-14x+49=-40+49[/tex]
Now, we can rewrite the left side of the equation as a squared term.
[tex]\sf (x-7)^2=9[/tex]
_____________________
Hope this helps!
Have a great day!
Solve the following word problems using the BUCKS strategy. Remember to show your work.
Pete rented a bike from Bob’s Bikes. It costs $13 plus $5 for every hour. If Pete paid $23, then how many hours did he rent the bike for?
Answer:
5 is the answer of the question
Answer:
He rent the bike for 2 hours.
Step-by-step explanation:
5x + 13= 23
I honestly just 13+5= 18
Then 18+5= 23
That is how I knew it was 2 hours.
It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.
What is 6 out of 120 expressed as a percentage
Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
3600 + p
3600 minus p
3600 p
StartFraction 3600 over p EndFraction PLEASE ASAP
Answer:
3600/p
Step-by-step explanation:
i think it's the last option because you cannot add or subtract the partners from the profit.
Fill in the missing statement and reason for the proof below.
Given: AB = AC and BE = CE
Prove: BDE = CDE
Avery weights his pet cat every month. The table shows how much the cat's weight changed each month for 3 months. What is the total change in the cat's weight for all 3 months. (PLEASE HELP)
Answer:
0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!
Step-by-step explanation:
can somone help:) pls
please help im struggling so much
Answer:
B. y=-10,250
C. 6 payments
Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!
Katherine has 9315 sunflower seeds. She puts 7 seeds in each package. How many full packages of sunflower seeds does Katherine have when she is finished? How many seeds are left over?
Answer:
1331
Step-by-step explanation:
bc 9315/7 is a decimal so u round up
Please help!!! I’ll mark you brainliest if you answer!!!
Answer:
The cordinate is (7,6)
Step-by-step explanation:
First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P.
Have an amazing day!
Please rate!
Answer:
7,6
Step-by-step explanation:
cuz yes
Ifm_1= 550, what is m_5?
In Rectangle ABCD diagonals AC and BD intersect at point P. If PD = 4x and AC = 88, solve for x.
Answer: 11
In rectangle diagonals are equal and bisect each other.
Therefore,
2×4x=88
8x=88
x=88÷8
x=11
Step-by-step explanation:
Please help with this question
Answer:
384π cm³
Step-by-step explanation:
Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—
r is radiush is heightOur radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—
[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]
__________________________________________________________
Summary
Volume (Cone)
[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—
h is height or perpendicular.
r is radius.
Value of Pi (Commonly Used)
[tex]\displaystyle \large{\pi \approx 3.14}[/tex]
__________________________________________________________
If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!
NEED HELP ASAPP
A car uses fuel at a rate of 15 miles per gallon. Predict how many miles the car can travel on 31.5 gallons of fuel.
Answer:
472.5 Miles
Step-by-step explanation:
1:15
10:150
20:300
30:450
.5:7.5
30x+1x+5x=450+15+7.5=472.5 miles
help!
(1) x-m/n+m=x-n/n-m
(2) simplify:
(3)
Answer:
x=0,(m+n)
Step-by-step explanation:
What number is 20% of 50
Answer:
10
Step-by-step explanation:
50*0.2 = 10
Step-by-step explanation:
20%×50
use p% =P
10
200× 50
100
1×5= 50
Answer= 10
Please help me solve this. its very simple. you will get a lot of points too.
The equation has one solution and it is x = 91/30
Let's take a glimpse at the solution
[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]
[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]
[tex] - 27x + 81 = 3x - 10[/tex]
[tex] - 27x - 3x = - 10 - 81[/tex]
[tex] - 30x = - 91[/tex]
[tex]x = \frac{91}{30} [/tex]
A museum sells three types of tickets, including those for seniors, adults, and children. On a Tuesday morning, the museum sells 164 tickets. The number of adult tickets sold was three times as many as senior tickets sold, and the number of child tickets sold was 10 more than the number of adult tickets sold. How many of each type of ticket did the museum sell on Tuesday morning?
The number of senior, adults and children tickets sold are 22, 76 and 66 respectively.
The museum sells three types of tickets, including those for seniors, adults and children.
On Tuesday morning the museum sold 164 tickets. Therefore,
Total ticket sold = 164Let
x = number of senior ticket sold.
The number of adult tickets sold was three times as many as senior tickets sold.
Equation for adult ticket sold3xThe number of child tickets sold was 10 more than the number of adult tickets sold. Therefore,
Equation for child ticket sold10 + 3xTotal ticket sold = 3x + 10 + 3x + x
164 = 7x + 10
154 = 7x
x = 154 / 7
x = 22
Therefore,
number of senior ticket sold = 22
number of adult tickets sold = 3 (22) = 66
number of child tickets sold = 10 + 3(22) = 76
learn more on equations here: https://brainly.com/question/1242189
what is the measure of angle y ?
Answer:
163 degrees
Step-by-step explanation:
because the whole circle is 360 degrees and the other side would be 163 as it's the same angle.
what is the area for this?
what is(12^2)^7*12 as single exponent?
Answer:
12^15
Step-by-step explanation:
(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.
PLS HELP GIVEING BRANLIEST
Answer:
25
Step-by-step explanation:
2 to the power of 4 + 16
3 to the power of 2 = 9
so, 16 + 9 is 25...
Step-by-step explanation:
[tex] {2}^{4 + } {3}^{2} [/tex]
=2x2x2x2+3x3
=16+9
=25