Answer:
Step-by-step explanation:
sin(62°) = 25/BA
BA = 25/sin(62°) ≈ 28.3
Angle BAC = 180°-90°-62° = 28°
BC = √((BA)^2-(AC)^2) = 13.3
cosC = 0
Answer:
A and D are correctStep-by-step explanation:
Given ΔABC
∠C = 90°∠B = 62°AC = 25The options:
A. 25/BA = sin 62° ⇒ BA = 25/sin 62° = 28.3 ≈ 28
CorrectB. ∠BAC = 90° - 62°= 28° ≠ 48°
IncorrectC. 25/BC = tan 62° ⇒ BC = 25/tan 62° = 13.29 ≠ 18
IncorrectD. cos(∠ACB) = 0 ⇒ cos 90° = 0
Correctfind all possible values of x if these represent side of a triangle 2x,5-x,4
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)Help. Please find the area for this shape. Greatly appreciated if you do!
Answer: 110
Step-by-step explanatio
Which ratio is equivalent to 10:4
5:2
14:6
1:4
3:6
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
what is 8.45 rounded to the nearest tenth? A 8.0 B 8.4 C 8.5 or D 9.5
Answer:
C
Step-by-step explanation:
Since its a 5, you round up. if it is 5 or above, you round the number upwards, when 4 or below, is downwards.
Answer:
C.8.5
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.
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
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
Simplify the expression by combining like terms: 3x^2 + 12x+11+14x^2+8x+5
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
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
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 -∞).
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:
B
Step-by-step explanation:
Cross product.
3xy= 3y
4x6= 24
3y/3
24/3= 8
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.
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.
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.
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
There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?
Answer:
4 gallons per gift basket
Step-by-step explanation:
20 x 4 = 80
I need help with this please help me :(
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 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
Answer:
GGGGGGGGGGGGGGGGGGGGG
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
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.
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.
Answer:
Step-by-step explanation:
800×9
7200 pineapples
help me out not all just what you can
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).
100 POINTS! MUST EXPLAIN ANSWER!
which diagram has COMPLEMENTARY and ADJACENT angles?
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
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.
Answer:
Step-by-step explanation:
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
Answer:
C.
Step-by-step explanation:
For this exponential function what is the output value (y) when the input value (x) is 3?
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
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:
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!;)
Use the properties of
addition to simplify:
2w + 2 - 98 + 4w-r
Answer:
−r+6w−96
Step-by-step explanation:
Answer
-r+6w-96
Step-by-step explanation:
5. Solve the equation - 4(x - 1) + 6x = 2(17 -- x) for x.
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
-4 ( ) = -16
-16= -8 ( )
2.5 pounds of grapes cost 2.25 dollars what is the cost per pound
Is (4, 2) a solution to the equation y = x2 − 7x?
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
Which property is being demonstrated? 7³. 7⁵ =7³+⁵= 7⁸
Answer:
Step-by-step explanation:
Multiplying powers with same base
how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)
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?
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: