SOH-CAH-TOA
sin Q = Opposite = 26
hypotenuse x
sin 54 = 26
x
x sin 54 = 26
x sin 54 = 26
sin 54 sin 54
x = 26 = 32.1378 ≈ 32.1 feet
sin 54
If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?
Answer:
You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.
Step-by-step explanation:
[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]
What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)
Please help
Answer:
C. (3,-2)
Step-by-step explanation:
98.92 as a decimal to 2 places
Answer:
98.9 i think
Step-by-step explanation:
to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9
2 decimal places question.
98.92 would remain exactly the SAME if all u want is 2 decimal places answer
= 98.92
Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?
Answer:
3 pizzas
Step-by-step explanation:
12 x 2 = 24
24 divided by 8 = 3
Can someone help me? And explain it to me pls<3
NEED HELP ASAP WILL GIVE BRAINLIEST! :)
Answer:
it adds up to 180 so the missing parts would be whats left.
Step-by-step explanation: 35 +105=( you fill it in)
the numbe you filled in minuse 180
13 = -2 ( y - 4 ) + 3y
Answer:
5
Step-by-step explanation:
13 = -2y + 8 + 3y
13 = y+8
y = 5
A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is
5 feet tall. What is the height of the tree?
An intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.
The length of an arc is the distance between the endpoints of the arc.
The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
The given parameters are:
[tex]\mathbf{l = 19yd}[/tex] --- length of the arc
[tex]\mathbf{r = 4}[/tex] -- radius of the circle
The length of an arc is calculated as:
[tex]\mathbf{l =r\theta}[/tex]
Divide both sides by r
[tex]\mathbf{\theta = \frac lr}[/tex]
Substitute known values
[tex]\mathbf{\theta = \frac{19}4}[/tex]
[tex]\mathbf{\theta = 4.75\ radians}[/tex]
Convert to degrees as follows:
[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]
[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]
[tex]\mathbf{\theta = 272.16^o}[/tex]
Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
Read more about length of arcs at:
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The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.
Answer:
Step-by-step explanation:
So, kids are divided into 8 total parts.
7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.
48/6 = 8 boys per part
All parts have the equal number of kids, so one part girls also has 8.
There are 8 girls (and 56 boys. 8:56 = 1:7).
if two angles in a triangle are 40° and 30°, then the third angle measures 110
Answer:
Si
Step-by-step explanation:
solve the system by graphing.
y = -x + 5
y = x + 1
Step-by-step explanation:
the answer from the graph is:
(2 , 3)
Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,
Answer:
B and C are correct Hope this helps <3
Step-by-step explanation:
Answer:
B and C?
Step-by-step explanation:
Im a little unsure about C but im about99% sure that is correct
twice the sum of 4 and x is less than -16. solve the i equality
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?
Answer:
[tex]Area = 339.29\ in^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the total surface area
From the attachment:
[tex]r = 3\ in[/tex] --- radius
[tex]h = 15\ in[/tex] --- height
The total surface area:
[tex]Area = 2\pi r(r + h)[/tex]
Substitute values for r and h
[tex]Area = 2\pi * 3(3 + 15)[/tex]
[tex]Area = 2\pi * 3(18)[/tex]
Remove bracket
[tex]Area = 2\pi * 3 * 18[/tex]
[tex]Area = 2\pi * 54[/tex]
[tex]\pi = \frac{22}{7}[/tex]
So, we have:
[tex]Area = 2 * \frac{22}{7} * 54[/tex]
[tex]Area = \frac{2 * 22 * 54}{7}[/tex]
[tex]Area = \frac{2376}{7}[/tex]
[tex]Area = 339.42[/tex]
Hence, the closest is:
[tex]Area = 339.29\ in^2[/tex]
Convert 0.838383 into a fraction
Answer:
8jdhdhdhdhfbdudhdhdhd
6(x+4)+1= pleaseee help
The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.
Answer:
?
Step-by-step
Can you be more specific?
Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?
Answer:
It would be 30 mph
Step-by-step explanation:
45/6=7.5
7.5*4=30
Answer:
30 minutes
Step-by-step explanation:
Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes
I need help solving this practice question
[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answer: the answer is 18
Step-by-step explanation:
PLEASE HELP ASAP!!
When retested on the WAIS, people's second scores generally match their first scores
quite closely. This indicates that the test has a high degree of:
A. Heritability
B. Content validity
C. Predictive validity
D. Reliability
Answer:
D. Reliability
Step-by-step explanation:
Answer:
the answer is b because the same score means more validity
Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.
Answer:
On a coordinate plane, a line has a negative slope
Step-by-step explanation:
If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.
Answer:
The correct answer is the last graph (C).
Step-by-step explanation:
edge 2020
answers for the 2 boxes please :)
10 (4p - 2k)(3)
In distributive property?
Answer:
10 ( 12p - 6k)
Step-by-step explanation:
4p x 3 = 12p
2k x 3 = 6k
you cannot subtract 12p and 6k bcuz they do not have the same variables.
which is a factor pair of 72?
A) 12,6
B) 14,5
C)23,4
D)24,2
Answer:
the answer is A) 12,6. .
Step-by-step explanation:
.
Find Percent of Change
1.) 200 to 500.
is the answer 40?
if not please explain...
Answer: I think it is
Step-by-step explanation:
Answer:
150% increase
Step-by-step explanation:
Calculate percentage change
from V1 = 200 to V2 = 500
(V2−V1)|V1|×100
=(500−200)|200|×100
=300200×100
=1.5×100
=150%change
=150%increase
Twice the difference of a number and 4 is 3.
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
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Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)