Answers
Answer:
x = 10√3
y = 10
Step-by-step explanation:
Step 1:
x = r·cos(30°)
y = r·sin(30°)
Step 2:
x = 20·√3/2 = 10√3
y = 20·1/2 = 10
However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.
Related Questions
In a certain town in 90 minutes 1/2 inch of rain falls continues at the same rate for a total of 24 hours which of the following statements are true about the amount of rain in the 24 hour.
Answers
Answer:
A. 16 times of 1/2 inch of rain
Step-by-step explanation:
24 hours = 1440 minutes
90 minutes = 1/2 inch of rain
1440 divided by 90 = 16
16 times of 1/2 inch of rain
Explain answer !!
( WILL GIVE BRAINLEST)
Answers
Answer:
B
Step-by-step explanation:
Cross product.
3xy= 3y
4x6= 24
3y/3
24/3= 8
Which measurement is closest to the area of the border, or the shaded region of this figure in square inches?
F 72.0 in.2
G 22.5 in.2
H 67.0 in.2
J 49.5 in.2
Answers
Answer:
GGGGGGGGGGGGGGGGGGGGG
Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?
a $131.25
b $331.66
c $2,625.00
d $3316.62
Answers
Answer:
C.
Step-by-step explanation:
the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12
Answers
V(t) = -2sin(2t)
t= pi/2
V = 0
how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)
Answers
Three friends have their own cell phones, Brian has 4 more application programs on his phone than Henry has on his. Wes has two times
more programs on his phone than Brian has on his
Part A
Let x represent the number of application programs Henry has. Write an algebraic expression that represents the number of application
programs on each friend's cell phone.
Answers
Answer:
Step-by-step explanation:
WHAT ARE THE PRINCIPALS PLEASE HELP ME!
You have 2 different savings accounts. For Account A, the simple interest earned after
6 months is $4.63. For Account B, the simple interest earned after 21 months is $16.80. If the interest rate is 3.7% for Account A and 2.4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answers
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount of money invested.
R represents interest rate
T represents time
Considering the investment on account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years
6.94 = (P × 3.7 × 0.75)/100 = 0.02775P
P = 6.94/0.02775 = $250
Considering the investment on account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
13.8 = (P × 2.3 × 1.5)/100 = 0.0345P
P = 13.8/0.0345 = $400
To determine the account that earned more interest in the first month,
250/9 = $27.8
400/18 = $22.2
Account A earned you the most interest the first month because $27.8 is higher than $22.2
A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?
Answers
Answer:
$22.5
Step-by-step explanation:
You will pay $22.5 for a item with original price of $30 when discounted 25%.
Answer:
Refer to explanation
Step-by-step explanation:
The screenshot you put is the correct answer, here's another method to get the same answer:
Find what 25% is.
100% = 30
1% = 30 ÷ 100 = 0.30
25% = 0.30 x 25 = 7.50
Find the price after the 25% discount.
100 - 25 = 75
75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answers
Answer:
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answer:
40g of butter
20g of sugar
60g of flour
Step-by-step explanation:
Hope this helps!;)
For this exponential function what is the output value (y) when the input value (x) is 3?
Answers
y = 5 • 2^3
= 5 • 8
y = 40
The value of the function y = 5(2)^(x) at x = 3 is (3, 40).
What is an exponential function?An exponential function is in which the power to a constant value is independent.
Given, y = 5(2)^(x).
Now at x = 3 we'll replace the value of x with 3, therefore
y₃ = 5(2)^(3).
y₃ = 5×8.
y₃ = 40.
learn more about exponential function here :
https://brainly.com/question/15352175
#SPJ2
5. Solve the equation - 4(x - 1) + 6x = 2(17 -- x) for x.
Answers
Answer:
x = 15/2 or 7.5
Step-by-step explanation:
-4 (x - 1) + 6x = 2(17 - x)
First, distribute the -4 and 2, and remember that multiplying two negatives make a positive.
-4x + 4 + 6x = 34 - 2x
Combine like terms
2x + 4 = 34 - 2x
Subtract 4 from both sides
2x = 30 - 2x
Add 2x to both sides
4x = 30
Finally, divide both sides by 4
x = 15/2 or 7.5
Which expressions are equivalent to the perimeter of the shape? How do you know?
a. x + 3 + 3x + 1
b. 2x + 4 + x
c. 4x + 4
d. 2x + 2 + 2x + 2
Answers
4x+4
The answer is c.
The expressions are equivalent to the perimeter of the shape is c. 4x + 4
What is perimeter?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length = x + 1
W = x + 1
Perimeter of the shape= x+1+1+x+x+1+x+1
Perimeter = x+1+1+x+x+1+x+1
= 4x + 4
This is the expression equivalent to the perimeter of the shape
The answer is c.
To know more about perimeter refer to :
brainly.com/question/10452031
#SPJ2
Simplify the expression by combining like terms: 3x^2 + 12x+11+14x^2+8x+5
Answers
Answer:
Step-by-step explanation:
Like terms have same variables with same exponents
3x² + 12x + 11 +14x² + 8x + 5
= 3x² + 14x² + 12x + 8x + 11 + 5
= 17x² + 20x + 16
Is (4, 2) a solution to the equation y = x2 − 7x?
Answers
Answer:
not rlly
Step-by-step explanation:
you need more information to solve that type of equation
Answer: NO
Step-by-step explanation:
Given
y=x²-7x
Substitute the [solution] into the equation
y=x²-7x
2=(4)²-7(4)
2=16-28
2=-12
2≠-12
Therefore, (4, 2) is not a solution
Hope this helps!! :)
Please let me know if you have any questions
The _____ ______ describes what is happening to the function as x goes to infinity in each direction.
1. remainder theorem
2. function degree
3. lead coefficient
4. end behavior
Answers
Answer:
4: “End Behavior”
Step-by-step explanation:
The end behavior of a function “f ” describes the behavior of the graph of the function at the “ends” if the x-axis.
In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞) and to the left end of the x-axis (as x approaches -∞).
100 POINTS! MUST EXPLAIN ANSWER!
which diagram has COMPLEMENTARY and ADJACENT angles?
Answers
Answer:
[tex] \huge \boxed{ \boxed{ \mathbb C}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:complementary Angeleadjacent anglestips and formulas:Two angles are Complementary when they add up to 90 degreesTwo angles are Adjacent when they have a common side and a common vertex and don't overlap.[tex]\text{according to the given shapes the answer is C}[/tex]
Answer:
Option C
Step-by-step explanation:
Because the whole angle mentioned is 90°
Sum of the two angles is 90°They are complementary
Also they has one common bisector so they are adjacent
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
a.He can't buy any CDs.
b.He can buy 11 CDs.
c.He can buy more than 11 CDs.
d.He can buy 10 CDs.
Answers
Answer:
d. He can buy 10 CDs
Step-by-step explanation:
The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:
10 x 9 = $90.00
If you add the $30.00 of books:
$90.00 + $30.00 = $120.00
This means he does not have enough money to buy another CD. He has $5.00 left over.
find all possible values of x if these represent side of a triangle 2x,5-x,4
Answers
Answer:
-1/3 < x < 3 or x = (-1/3, 3)Step-by-step explanation:
Given sides of a triangle:
2x, 5 - x, 4Triangle inequality theorem:
Any side is smaller than the some of the other two.Apply to the given triangle:
2x + 5 - x > 4 ⇒ x > -12x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/35 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3Combine all the inequalities:
-1/3 < x < 3x = (-1/3, 3)-4 ( ) = -16
-16= -8 ( )
Answers
2
Hope this helps!!!!!
-16=-8x2
Because negative x positive is negative
Michael has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 165 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?
Answers
Answer
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Step-by-step explanation:
points per visit, # of visits + sign-up points ≥ free tickets points
8.5 (points per visit)
70 (# of visits)
165 (free ticket points)
8.5v ≥ 70 + 165
70 + 8.5v ≥ 165
8.5v ≥ 165 -70
8.5v/8.5v ≥ 95/8.5
v ≥ 11.1764705882
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation:
Which property is being demonstrated? 7³. 7⁵ =7³+⁵= 7⁸
Answers
Answer:
Step-by-step explanation:
Multiplying powers with same base
help me out not all just what you can
Answers
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
Use the properties of
addition to simplify:
2w + 2 - 98 + 4w-r
Answers
Answer:
−r+6w−96
Step-by-step explanation:
Answer
-r+6w-96
Step-by-step explanation:
13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3
Answers
Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Step-by-step explanation:
option A is the correct answer according to my opinion .
plz mark my answer as brainlist if you find it useful.
2.5 pounds of grapes cost 2.25 dollars what is the cost per pound
Answers
Here are the ingredients for making a pineapple sorbet for 6 people
800g pineapple
4 egg White
1/2 lemon
100g caster sugar
Ann makes pineapple sorbet for 9 people work out how much pineapple she uses.
Answers
Answer:
Step-by-step explanation:
800×9
7200 pineapples
800*9= 7200
Hope this helps have a good day! :)
Help. Please find the area for this shape. Greatly appreciated if you do!
Answers
Answer: 110
Step-by-step explanatio
I need help with this please help me :(
Answers
Answer:
6 additional toppings
Step-by-step explanation:
14+1.75= 15.75
15.75+1.75=17.5
17.5+1.75=19.25
19.25+1.75=21
21+1.75=22.75
22.75+1.75=24.5
Which ratio is equivalent to 10:4
5:2
14:6
1:4
3:6
Answers
Answer:
5:2
Step-by-step explanation:
10:4/2
5:2
Answer:
5.2
Step-by-step explanation:
divide 10:4 by 2 and you will get 5:2