the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Answer:
36.5
Step-by-step explanation:
y= -x²+73x-520
which can be represented as ax²+bx+c
a= -1, b= 73, c = -520
for maximum value of y,
the formula is
c - (b² / 4a)
= -520 - (73² / 4×(-1))
= -520 - (5329 / -4)
= -520 + 1332.25
= 812.25
Solving for x,
812.25 = -x²+73x-520
or, x²-73x+ 1332.25 = 0
Solving,
x= 36.5
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
HELPPP PLEASE I NEED AN ANSWER
Answer:
C
Step-by-step explanation:
Heather needs to memorize words on a vocabulary list for Korean class. She has memorized 9 of the words, which is one-third of the list. How many words are
on the list?
words
how to solve -3x-6y=3 and 2x+7y=-17 using elimination method PLEASE SHOW WORK
Plssss help and thank you
Answer:
1
Step-by-step explanation:
The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.
Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the brainliest
Answer:
a) ∠EAB = 180° - 90° - 30° = 60°
∠EBA = 180° - 90° - 60° = 30°
a) ∠EBA = 30°
b) ∠DCA = 180° - 90° - 30° = 60°
∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA
ΔEBA ≅ ΔDAC because of the AAA postulate
c) EB ≅ DA, EA ≅ DC, AB ≅ CA
d) AB = CA given
sin ∠EAB = EB/AB (sin 60°) EB = (0.8660)AB
cos ∠EAB = EA/AB (cos 60°) EA = (0.5)AB
cos ∠DAC = AD/CA (cos 30°) AD = (0.8660)CA
sin ∠DAC = CD/CA (sin 30°) CD = (0.5)CA
ED = EA + AD
ED = (0.5)AB + (0.8660)CA
since AB = CA, ED = 1.366CA
since EB = (0.8660)AB and AB = CA, then EB = 0.866CA
since CD = 0.5CA,
EB + CD = 0.866CA + 0.5CA = 1.366CA
EB + CD = 1.366CA
1.366CA = 1.366CA
Proof: ED = EB + CD
If x=7 and y=−3, evaluate the following expression:3x−y2
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
You start at (8, 3). You move down 1 unit. Where do you end?
Answer:
(8, 2)Step-by-step explanation:
Initial point is: (x, y) = (8, 3)
When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinateMove down 1 unit:
(x, y) → (x, y - 1)The new point is:
(8, 2)NEED HELP ASAP
Which is a different way to express 5r?
5+r
2r+3r
r5
3r⋅2r
Answer:
2r+3r
Step-by-step explanation:
even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r
Determine the correlation coefficient (r) for the linear relationship below.
Answer:
X Values
∑ = 53.5
Mean = 10.7
∑(X - Mx)2 = SSx = 151.086
Y Values
∑ = 6.9
Mean = 1.38
∑(Y - My)2 = SSy = 3.788
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 23.711
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 23.711 / √((151.086)(3.788)) = 0.9911
So r= 0.9911 or 99.11%
Find the ratio of Cos (39).
A. 37/7
B.X/7
C.7/X
D.7
Answer:
x/7
Step-by-step explanation:
cos 39= adjacent/hypotenuse
=x/7
Solve the right triangle. Round your answers to the nearest tenth.
Answer:
B = 44°
c = 27.8
b = 19.3
Step-by-step explanation:
m∡B = 180 - (90 + 46)
sin46° = 20/c
c = 20 / sin 46°
c = 27.8
b² + 20² = 27.8²
b² + 400 = 772.84
b² = 372.84
b = [tex]\sqrt{372.84}[/tex]
b = 19.3
Help please
Help please
Help please
Help please
Given:
The four table of values.
To find:
The table whose linear function has slope 2.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from each table and find the slope for each table.
For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:
[tex]m=\dfrac{-1-1}{6-2}[/tex]
[tex]m=\dfrac{-2}{4}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-8}{2-0}[/tex]
[tex]m=\dfrac{-4}{2}[/tex]
[tex]m=2[/tex]
For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:
[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]
[tex]m=\dfrac{1}{-2+4}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-0}{0-(-2)}[/tex]
[tex]m=\dfrac{4}{2}[/tex]
[tex]m=2[/tex]
Table 4 is the only table that represents a linear function whose slope is 2.
Therefore, the correct option is 4, Table 4.
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.
what is the simplified ratio of 6:4 please explain step by step
Answer:
3:2
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
6 and 4 can be both divided by 2
If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
Find the value of x.
9
19
x = [?]
Answer:
14
Step-by-step explanation:
Answer:
looks like 18 not sure tho
Step-by-step explanation:
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
HELP PLEASE ASAP i need the help right answers only!
Answer:
8
Step-by-step explanation:
good luck. hope this helps.
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
simplify
( 2 4/5 * 1 3/10) * 1 1/2
Answer:
( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50
Step-by-step explanation:
( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
Jeff drew a circle inside a square, as shown below.
Which method can Jeff use to find the area of the
square not covered by the circle?
Answer:
3.14
Step-by-step explanation:
Answer:
Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square
If the radius is (r) so the area is
A = d * d
need help po thank you
Answer:
a) P
b) NP
c) P
d) p
e) p
1.30,35,40. add 5
2. 4,0,-4. take 4
3. -8,-10,-12. add -2
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
A number x divided by 6 is at least 16 .
Answer:
x = 96
Step-by-step explanation:
Answer:
x/6≥16
Step-by-step explanation:
Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?
Answer:
$1.07 for the late fees.
Step-by-step explanation:
You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).
35.62*.03
1.0686
Round up because you cannot have part of a cent.
$1.07 for the late fees.
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1