Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5
Answer:
y = -1/2 x -5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
We know b
y = mx-5
Substitute the values of x and y into the equation to determine the slope
-2 = m(-6) -5
Add 5 to each side
-2+5 =-6m
3 = -6m
Divide by -6
3/-6 = m
The slope is -1/2
y = -1/2 x -5
harlie is a hotel manager. Their responsibilities include renting rooms for conferences. The hotel charges $250 per day plus $15 per person for the grand ballroom.
Create a formula for the cost, C, in dollars, to rent the ballroom for any number of people for 1 day.
Hint: Use C for cost and n for the number of people. C = ________
How much should Charlie charge to rent the hall for 50 people? What about 100 people?
Rearrange your formula to express n in terms of C (rewrite your formula to solve for n)
How many people could attend a wedding reception if the planners have a budget of:
$4000
$2000
Answer:
Formula: C= $15n + $250
50 People: $1000
100 People: $1750
Formula: n= (C- $250)/ 15
$4000 Budget: 250 Guests
$2000 Budget: 116.67 Guests
Step-by-step explanation:
Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.
With the given equation, simply substitute n for the amount of guests.
C = $250 + $15(50) = $1000
C = $250 + $15(100) = $1750
To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n
Then divide both sides by 15, making the new equation: (C-250)/15 = n
Again, substitute C with allowed cost to find the amount of guests allowed.
n = ($4000- 250)/ 15 = 250 People
n = ($2000-250)/15 = 116.67 People
I have 2 possible answer, but I don't know which one. Help please.
Answer:
X=120
Step-by-step explanation:
It is an equalateral so all the angles in the middle are the same all being 60
The angle of a straight line is 180
So just minus 60 from 180 to get 120
180-60=120
Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?
Answer:
Resultados debajo
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual (i)= 4,8%
Inversión inicial (VP)= $1.000.000
Para calcular el valor final (VF), debemos usar la siguiente formula:
VF= VP*(1 + i)^n
Para 5 años:
VF= 1.000.000*(1,048^5)
VF= $1.264.172,72
Para 18 años:
VF= 1.000.000*(1,048^18)
VF= $2.325.429,02
2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Solution :
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.
20% of 2kg ( in g).
Please help
Answer:
[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]
Answer:
400 g
Step-by-step explanation:
0.20 x 2 kg = 0.4 kg
0.4 kg x (1000g / 1kg) = 400 g
Which equation is a function of x?
Answer:
X=5
x=y2+9
x2=y
x2=y2+16
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
On the coordinate plane, MNO has vertices M(4,4), N(5,-7) and O(-6,-6). What is the perimeter of MNO? If necessary, round your answer to the nearest tenth
Answer:
The perimeter is 36.2 units.
Step-by-step explanation:
M (4,4), N (5,-7) and O (-6,-6)
The distance formula is
[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]
The perimeter is given by
P = MN + NO + MO
P = 11.05 + 14.14 + 11.05 = 36.24 units
Increase 14187.13 by 14.5
Answer:
14201.63
Step-by-step explanation:
14187.63
+ 14.50
=14201.63
Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?
Answer:
8.8%
Step-by-step explanation:
We first divide the new amount by the original and close it with brackets.
Our one year will be shown as 1/1 as an indices
(761.60/700)^1/1
= 1.088
We then convert it to 0.088 and times it by 100.
0.088×100= 8.8% Compound interest rate.
This is correct as:
700×1.088= 761.6
Have a nice day! :)
An electric blender has a price of $240 after import duty is added to the cost price.What is the cost price of the blender if import duty is 20%?
Answer:
$200
Step-by-step explanation:
Given :
Cost of blender + import duty = $240
Import duty = 20% of cost price
Let :
Cost of blender = x
Import duty = 20% of x = 0.2x
Therefore,
x + 0.2x = $240
1.2x = 240
x = 240 / 1.2
x = $200
Cost of blender = $200
Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?
Answer:
The slope of the perpendicular line will 1/3.
Step-by-step explanation:
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answer: easy
Step-by-step explanation: 0.25 there
Solve the problem correctly and show ur work
1 . 3/5 ( 15x + 30 )
Answer:
9(x + 2)
Step-by-step explanation:
3/5(x+30)
multiply fractions
3(15x + 30)/5
factor 3(15x + 30) = 45(x + 2)
divide the numbers
45(x + 2)/5
45/5=9
= 9(x + 2)
Answer:
9x + 18
Step-by-step explanation:
[tex]\frac{3}{5} ( 15x + 30 )[/tex]
9x + 18
PLEASE I NEED HELP!!!!
Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .
[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.
Here, is a difference of 1 in 5 and 4.
gregory wants to buy a new video game system priced at $179.00. if the sales tax is 6%, what is the total amount he will pay for the video game system
Answer:
$189.74
Step-by-step explanation:
Since the sales tax is 6%,
179x0.06=10.74
Add to the starting price, 179.00+10.74=189.74!
I hope this helped!
Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102
The cuboid and the triangular prism have the same volume. Find the value of x.
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
We know,
Equation of the slope is, y = mx + c. Where m is the slope.
y - 4 = 5/2*(x-2)
y = 5/2*(x-2) + 4
y = (5/2)x - 5 + 4
y = (5/2)x - 1
y = (5/2)x + (-1) [y = mx + c form]
Slope, m = 5/2
Hope this will help. Please mark me brainliest.
Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x
y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2
y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))
Cancel the common factor.
y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)
Rewrite the expression.
y−4=5x2+5⋅−1y-4=5x2+5⋅-1
Multiply 55 by −1-1.
y−4=5x2−5
Add 44 to both sides of the equation.
y=5x2−5+4y=5x2-5+4
Add −5-5 and 44.
y=5x2−1
Reorder terms.
y=52x−1
THE ANSWER IS M = 5/2
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.
Answer:
Mean = 7
Step-by-step explanation:
Given the following data;
Number of games = 8
Scores = 5, 11, 9, 9, 4, 5, 6, 7
We would sum all the scores together to get a total score.
Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56
Now, to find the mean;
[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]
Mean = 56/8
Mean = 7
Answer:
7 is the mean score.
Step-by-step explanation:
Now we have to,
→ find the required mean score.
The given scores are,
→ 5, 11, 9, 9, 4, 5, 6, 7
→ Numbers = 8
Then the mean score will be,
→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8
→ 56/8 = 7
Hence, the mean score is 7.
a girl 65 marks out of 80. What percent mark did she have?
Answer:
the marks obtained by a girl in percentage is 81. 25%
Answer:
81.25%
Step-by-step explanation:
100 (65/80)
The graph below shows the solution to which system of inequalities?
Answer:
A
Step-by-step explanation:
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
Anyone know the answer?
Answer:
565.6854249 without rounds
Answer:
Step-by-step explanation:
Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
draw a graph for the equation above
Answer:
look at image given
Step-by-step explanation:
im assuming the -3 is seperate :p
Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2
Answer:
8
Step-by-step explanation:
Given:
13 - 0.75w + 8x
where,
w = 12
x = 1/2
13 - 0.75w + 8x
Substitute the value of w and x into the equation
= 13 - 0.75(12) + 8(1/2)
= 13 - 9 + 8/2
= 13 - 9 + 4
= 8
Therefore,
13 - 0.75w + 8x = 8