Answer:
x = 9.47 degrees ( in first quadrant.
Step-by-step explanation:
sin2x + sinx cos x = 1/2
Now sinx cos x = 1/2sin2x so:
3/2sin2x = 1/2
sin2x = 1/2 / 3/2
sin2x = 1/2 * 2/3 = 1/3
2x = arcsin 1/3 = 19.47 degrees
x = 9.74 degrees to nearest hundredth.
The table shows the heights that four people parachute from an airplane. What is the range of the heights? Write your answer as a decimal or fraction in simplest form
The range is 7/20 of a mile.
The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.
Answer:
Children = 124
Adults = 93
Step-by-step explanation:
x = children
y = adults
x + y = 217
x = 217 - y
15.50x + 20y = 3782
15.50 (217-y) + 20y = 3782
3363.50 - 15.50y + 20y = 3782
4.5y = 3782 - 3363:50
y = 418.50/4.5
y = 93
x + 93 = 217
x = 217 - 93
x = 124
Two fifths divided by one half times ( negative one minus 2)
Tonya's mom gave her $15.00 to spend on a Saturday outing with her friends. She spent $8.50 going to a movie. How much money does she have left to spend on lunch?
Step-by-step explanation:
please mark me as brainlest
Fining right answer
Branleist
Please no links will mark brainiest for complete and correct answer.
question is in pic below pls help me
A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
https://brainly.com/question/17646656
PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.
Answer:
49.0?
Step-by-step explanation:
its probably wrong lol
I would say 50 meters
Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted
Answer: Jon has 1/5 left to paint
An angle measures 68° less than the measure of its complementary angle. What is the measure of each angle?
I need help w/ this please help me!!
Answer:B
Step-by-step explanation:
B
Answer:
y = -4/3x - 4
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21
Answer:
X = 31.5
Step-by-step explanation:
X / 1.5 = 21
X = 21 * 1.5
The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle
length is 4
area= l*w
4-3=1
4*1= 4
Does x=5 satisfy the equation 3x + 2 +5x= 95 explain
Answer:
No
Step-by-step explanation:
3x + 2 +5x
if x=5
3(5)+2+5(5)
=15+2+25
=42 which is not equal to 95
No, it doesn't satisfy the equation
Step-by-step explanation:
3x + 2 +5x = 95
Now putting the value of x
3×5 + 2 + 5×5 = 95
15 + 2 + 25 = 95
42 ≠ 95
Hence, x = 5 doesn't satisfy the equation 3x + 2 +5x= 95
solve for x.
- 6 ≥ 10 - 8 x
Answer:
[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]
Step-by-step explanation:
[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]
Answer:
x ≥ 2
Step-by-step explanation:
-6 ≥ 10 - 8x
=> 8x - 6 ≥
=> 8x ≥ 10 + 6
=> 8x ≥ 16
=> x ≥ 16/8
=> x ≥ 2
$40 jacket is 25% off how much will u save
Answer:
10 dollars
Step-by-step explanation:
The cost of a birthday party at a skating rink is proportional to the
number of guests. The skating rink charges $82.50 for 10 guests.
The choices show the number of guests and the total cost for four
different parties that were hosted at different locations. Select each
party that was hosted with the same constant of proportionality, or
unit rate, as the skating rink's unit rate.
Answer:
Step-by-step explanation:-
-
-
-
-
-
-
-
-
The required magnitude of the constant of the proportionality is 8.25.
Given that,
The cost of a birthday party at a skating rink is proportional to the number of guests. The skating rink charges $82.50 for 10 guests.
proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.
Here,
Let the number of the guest be x and the total charge for the party be y,
y = kx
Where K is the constant of proportionality,
Substitute the values in the equation for the number of guests and corresponding charges,
82.50= K(10)
K = 8.25
Thus, the required magnitude of the constant of the proportionality is 8.25.
Learn more about proportionality here: https://brainly.com/question/22620356
#SPJ5
Find the surface area of the cylinder. Please help
the length is 12in
the diameter is 5in
227.77in²
Hope this helped you- have a good day bro cya)
Select all the statements that best describe the table below.
The Correct choices are :
The rate of change is not constant This is a negative relationship The relationship is non - linear The dependent variable is selling price The independent variable is ageAnswer:
See belowStep-by-step explanation:
The table shown inconsistent change of price over the year. The price drops down and is negative.
Correct choices are:
2, 4, 5, 7, 10Line A is perpendicular to Line B.
If the slope of Line Ais ,
what is the slope of Line B?
Enter the correct symbol, + or -.
Answer:
-7/3
Step-by-step explanation:
the answer is the negative reciprocal.
Is this correct?
If it’s not, help me :(
What is the value of the expression shown?
1/2(7.9−0.08)
Answer:
3 91/100 or 3.91
Step-by-step explanation:
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-1/4
Step-by-step explanation:
Use the slope formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-8-(-5)}{0-(-12)}[/tex]
Which equals -1/4
Simplify 5^4/5^3
5^7
5^-1
1/5
1/5^7
Answer:
5^4-3
5¹
by law
a^m÷a^n= a^m-n
6 square root x 6 square root x 6 square root
Answer:216
Step-by-step explanation:
Becky has 30 T-shirts in a drawer: 12 concert shirts, 8 team shirts, and 10 plain shirts. Of
the 10 shirts she randomly selects to give to charity, 3 are concert shirts. How does this
frequency compare to the expected frequency based on the probability of randomly
selecting a concert T-shirt?
Answer:
The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.
help ill give brainliest
Answer:
venti, it has more liquid per ounce
two companies listed a revenue for the year in their respective websites. Company a has revenue in the amount of 1.6×10^6 and company b has revenue in the amount of 7.2x10^8. how many Times greater is the revenue for company b?
76 people left before the movie ended 124 people remained how many people were in the theater when it was full 
Answer:
Step-by-step explanation:
124 + 76 = 200 ☺
What is the slope of the line represented by the equation y =4/3x-3
Answer:
m, is equal to (4/3)
Step-by-step explanation:
Match the given equation y =(4/3)x-3 to the standard slope-intercept form y = mx + b. By doing so we see that the slope, m, is equal to (4/3).