Answer:
26
Step-by-step explanation:
Prove that sin²α + cos²α = 1 and [tex]\frac{1}{cos^{2}\alpha }[/tex] = 1 + tan²α
Answer:
See Explanation
Step-by-step explanation:
[tex] { \sin}^{2} \alpha + { \cos}^{2} \alpha = 1 \\ \\ LHS = { \sin}^{2} \alpha + { \cos}^{2} \alpha \\ \\ = \cancel {\sin}^{2} \alpha + { 1 -\cancel{ \sin}}^{2} \alpha \\ \\ = 1 \\ \\ = RHS \\ \\ \\ \frac{1}{ { \cos}^{2} \alpha } = 1 + { \tan}^{2} \alpha \\ \\ LHS = \frac{1}{ { \cos}^{2} \alpha } \\ \\ = { \sec}^{2} \alpha \\ \\ = 1 + { \tan}^{2} \alpha \\ \\ = RHS[/tex]
point)
Complete the missing value in the solution to the equation:
6x + x = y + 2x
(3,
Answer:
-2
Step-by-step explanation:
Zoe paid 18.60 in sales tax and tips for dinner. The sales tax is 11% and she tipped 20%. What was the price of Zoe’s dinner before sales tax and tip?
Answer:
$60 was the price of Zoe's dinner, before sales tax and tip.
Step-by-step explanation:
Sales tax = 11% * original price = 0.11 * x= 0.11xTips for dinner = 20% * original price = 0.20 * x = 0.2x0.11x + 0.2x = 18.600.31x = 18.60x = 60$60 was the price of Zoe's dinner, before sales tax and tip.Answer:
$60 was the price of Zoe's dinner, before sales tax and tip.
Step-by-step explanation:
1. Sales tax = 11% times original price = 0.11 times x= 0.11x
2. Tips for dinner = 20% times original price = 0.20 times x = 0.2x
3. 0.11x + 0.2x = 18.60
4. 0.31x = 18.60
5. x = 60
6. $60 was the price of Zoe's dinner, before everything else
Emma's sister is nine years older
than Emma. Their combined ages
add up to 49. How old is Emma?
(The answer isn’t 40 bc it say that her sister is 9 years OLDER then Emma) pls help
Answer:20 I believe
Step-by-step explanation:
Answer:
yeah it should be 20 they're correct
HURRY ILL MARK BRAINLIEST
x=1 (question 9)
x=0(question 10)
x=0(question 11)
x=3.33(question 12)
Please help i will mark braniliest and 30 points
If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7
A) x=8
B) x = 7
C) x = 12
D) x= -8
Answer:
D) x = -8
Step-by-step explanation:
All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.
please help!!!!!! im not too sure how to answer this.
help fast please it's timed
Answer:
2x= 3x-7
-x=-7
x=7
so, the first option
Step-by-step explanation:
Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have to pay?
A.
$817.48
B.
$819.48
C.
$821.41
D.
$822.48
E.
$825.41
Answer: for plato users .
B. $819.48
Step-by-step explanation:
Carmen has 240 action figures she wants to display in 4 bookcases. Each bookcase has 5 shelves, and each shelf gets the same number of action figures. What is true about how Carmen can display her action figures?
She can put ____ action figures in each bookcase
She can put ____ action figures on each shelf
The choices are
a. 5
b. 12
c. 30
d. 60
e. 231
f. 249
PLESSE HELP
Answer:
60 books in one bookcase
12 books in one shelf
plz mark brainliest
Step-by-step explanation:
figures is one bookshelf =240/4
figures in each shelf=240/4*5
Jim ran 4 miles less than twice as many as Bob. If Jim ran 24 miles, write an equation to find x the number of miles that Bob ran.
Answer:
bob ran 8 miles
Step-by-step explanation:
Answer:
2x - 4 = 24 Bob ran 8 miles
Step-by-step explanation:
The number of swimmers at a city pool on Monday was twice the number who were there on Tuesday. The number at the pool on Wednesday was 11 fewer than 3 times the number on Tuesday. The total swimmers for all 3 days were 625. How many swimmers were at the pool each day? Define a variable, write an equation, and solve the problem.
Answer:
102 1/3 swimmers
Step-by-step explanation:
Let
Number of swimmers on Tuesday = x
Number of swimmers on Monday = 2x
Number of swimmers on Wednesday = 3x - 11
Total swimmers for all 3 days = 625
x + 2x + (3x - 11) = 625
3x + 3x - 11 = 625
6x = 625 - 11
6x = 614
x = 614 / 6
= 102 2/6
x = 102 1/3 swimmers
Number of swimmers on Tuesday = x = 102 1/3 swimmers
Number of swimmers on Monday = 2x
= 2(102 1/3)
= 204 2/3
Number of swimmers on Wednesday = 3x - 11
=3(102 1/3) - 11
= 307 - 11
= 296
which graph represents the system of equation? Y greater than negative 1/3 x + 4 + 2x - 3y less than equal to 12
Answer:7x/3 - 3y +4 hope this helps!
Step-by-step explanation:
Hello guys plz help me with this question, plz show me the working so i know how you did it, THANK YOU!
9514 1404 393
Answer:
a) 13%
b) 65.9%
Step-by-step explanation:
a) You can use n=1 to find the percentage remaining at the end of 1 hour:
P = 100(0.87^1) = 87
This is 13% less than 100%, so the decay rate per hour is 13%.
__
b) Fill in n=3 and evaluate the expression.
P = 100(0.87^3) = 65.8503
After 3 hours, about 65.9% of the caffeine remains.
Which of the following statements best explains why this graph represents a relation that is not a
function?
-The y-values between 1 and 2 are each paired with multiple x-values.
-The x-values between 1 and 3 are each paired with multiple y-values.
-The graph does not pass through the origin.
-The graph extends forever to both the left and the right.
Answer:
the second answer
Step-by-step explanation: too lazy to explain
Answer:
The 3 the graph extends forever to both the left and the right.
Step-by-step explanation:
$1500 at 9% for 2 years
Answer:$270
Step-by-step explanation:
I=PRT
Interest=principal times rate times time
Principal=1500
Rate=9%=0.09
Time=2
I=1500 times 0.09 times 2
I=1500 times 0.18
I=270
Interest=270
Total is 1500+270=1770 total paid
A graph of a function in the photo, all blanks have these same answer choices.
PLEASE ANSWER
Answer:
did you try google ? I usally search up things when I dont usally know i dont know to be honest try to search it up if you already did then good luck I hope someone answers
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the
polynomial in standard form.
3i, 2 - i
Answer:
t
Step-by-step explanation:
Find the closest point on the line.
y = - x -4 to (4,4)
Answer:
(-2,-2)
Step-by-step explanation:
The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).
Answer:
y = x - 4
Step-by-step explanation:
root (4,0)
domain XER
y intercept (0,-4)
SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x
Answer:
solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
Step-by-step explanation:
We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]
First we will solve the inequality to find value of x
Solving:
[tex]\frac{7x-3}{9}\geq 8-2x[/tex]
Step 1: Multiply both sides by 9
[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]
Step 2: Adding 3 on both sides
[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]
Step 3: Add 18x on both sides
[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]
Step 4: Divide both sides by 25
[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]
So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]
The graph is attached below.
Option C is correct option.
I my last questions got reported so...here are 100points
what is
[tex]107 \times 58[/tex]
Answer:
what bait don't know that
Answer:
6,206
Step-by-step explanation:
it's multiplication, if anything you could just use a calculator.
<3 Enjoy,
Dea
What does "practical domain" mean?
Answer:
practical domain is the domain by just looking at the function.
Step-by-step explanation:
hope it helps
have a great day :)
Find the value of each variable listed.
Answer:
a = 90
b = 28
c = 68
d = 22
Step-by-step explanation:
[tex]a = 90[/tex]
[tex]d=22[/tex]
[tex]22+90=112[/tex]
[tex]180-112=68[/tex]
[tex]c=68[/tex]
[tex]62+90=152[/tex]
[tex]180-152=28[/tex]
[tex]b=28[/tex]
table, proportional or non-proportional?
Liz lives 3 miles from the library.
Brendan lives 3 times as far as Liz.
Andy lives 3 times as far as Brendan.
Eddie lives 3 times as far as Andy.Which exponential expression represents how far Eddie lives from the library?
A.3 the the 5th power miles
B.4 to the 3rd power miles
C.3 to the 4th power miles
D.3 to the 3rd power miles
Answer:
C.
Step-by-step explanation:
3 times 3 =9 and is 3 by the 2nd power. Then that times three is 27 which is 3 to the third power. Now it’s time to find out where Eddie is compared to the library. Then that times 3 is 3 to the fourth power. So that’s how far Eddie is. He is 81 miles away.
Tra'Niyah spent half of the money she made babbysitting on mew shoes. If she baby sat for 6 hours and charged $8.75 per hour, how much money did she have left after shoe shopping
Answer:
She has $26.25 after shoe shopping
Step-by-step explanation:
if you multiply $8.75 by 6 hours, you get $52.50
then divide that by 2 and you get $26.25
Answer:
26.25 dollars
Step-by-step explanation:
8.75x6= 52.50
52.50/2 equals 26.25
Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.
Answer:
x = 20
Step-by-step explanation:
You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]
a = 12
b = 16
and c would be x.
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
square root
c = 20 or x = 20
On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?
Answer:
80 children
Step-by-step explanation:
(200 * 40) /100 = 80
1) Slope = -4, y-intercept = 2
what is the coefficient of -2x+8=10
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+8=10
Step 1: Subtract 8 from both sides.
−2x+8−8=10−8
−2x=2
Step 2: Divide both sides by -2.
−2x−2=2−2
x=−1
Answer:
Answer:
-2
Step-by-step explanation:
The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.