Answer:
sin(A) = opp / hyp
=a/hyp. =9/15
cos(A) = adj/hyp
=b/hyp. =12/15
Tan(A) = sin(A) / cos(A)
= 9/15 / 12/15
=9/12. (you can further simplify it)
same for the B angle,
sin(B) = b/15
=12/15
cos(B) = a/15
=9/15
tan(B) = sin(B) / cos(B)
= 12/15 / 9/15
=12/9
-1/2(-3y+10) combing like terms
Answer:
3/2y - 5
Step-by-step explanation:
The resale value of a bike decreases by 14% per year. A new bike is valued at $350. Approximate the resale value after 4 years to the nearest dollar.
Answer: $191.45
Step-by-step explanation:
This question requires the price of a bike in future so you can use the future value formula to calculate it:
Future value = Amount * (1 + rate)^ no. of periods
= 350 * (1 - 14%)⁴
= 350 * 0.54700816
= $191.45
The rate is subtracted from 1 instead of being added to represent that the value is decreasing not increasing.
Is 301 in the sequence below?
-9, -5,-1,3,7,...
Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
301 doesn't belong to the sequence -9, -5,-1,3,7,...
What is A.P sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .
Hence, the formula to find the nth term is:
[tex]a_{n}[/tex] = a + (n – 1) × d.
where,
a = first term
d = common difference
n = number of terms
[tex]a_{n}[/tex] = nth term
According to the question
Sequence : -9, -5,-1,3,7,...
First term (a)= -9
common difference (d)= -5 - (-9)
= 4
[tex]a_{n}[/tex] = 301
using the formula of nth term
[tex]a_{n}[/tex] = a + (n-1)d
Substituting the value
301 = -9 + (n-1) 4
310 = (n-1) 4
77.5 = (n-1)
n = 78.5
as n always to be the whole number .
Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...
To know more about A.P sequence here:
https://brainly.com/question/24205483
#SPJ3
Please help me so difficult
Answer:
it's easy
Step-by-step explanation:
See the triangle is having 2 sides equal so it is isosceles but not equilateral..
hope it helps
Answer:
This is an isosceles triangle because two sides are of equal length, and one side is a different length.
Step-by-step explanation:
Please help out will give brainliest
Answer:
66 cm
Step-by-step explanation:
Answer:
∠ A ≈ 77.8°
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AB}{sinC}[/tex]
[tex]\frac{37}{sinA}[/tex] = [tex]\frac{29}{sin50}[/tex] ( cross- multiply )
29 × sinA = 37 × sin50° ( divide both sides by 29 )
sinA = [tex]\frac{37sin50}{29}[/tex] , then
A = [tex]sin^{-1}[/tex] ( [tex]\frac{37sin50}{29}[/tex] ) ≈ 77.8° ( to 1 dec. place )
hello. Someone help me solve all these. Will mark as brainliest. Thanks
Answer:
number 19 is letter B.hence express P(x) as the product of it's linear factors
*Check Photo and no links please
Answer:
725.51
Step-by-step explanation:
which is greater (-27) or (-2-7)
Answer:
(-27) is greater I'm pretty sure.
Answer:
(-2-7) is greater than (-27)
30 feet
50feet
Gilbert's family is building a walkway between the second floor balcony on his house and his tree house. How long
will the walkway be?
Q. How long is the walkway?
Answer:
what in the world am i
Step-by-step explanation:
What is the volume?
Answer:
Volume of pyramid is 1/3 * area of base * height
Step-by-step explanation:
Plug it in
1/3 * 48 * 10 = 160 cm^2
1/3*48*15 = 240 cm^2
A triangle has three angles that measure 30 degrees, 70 degrees What is the value of x?
Answer:
x = 80
Step-by-step explanation:
Sum of all the angles of triangle = 180
30 + 70 + x = 180
100 + x = 180 {Subtract 100 from both sides}
x = 180 - 100
x = 80°
Find the volume of the figure please.
Answer:
volume=90 sq m
Step-by-step explanation:
v=Ab×h
v=1/2(10)(3.6)×5
v=90 sq
hope it helps
What's (7.3 x 10^-1) (.004) in standard notation
Answer:
.73(.004) or .00292
Step-by-step explanation:
First, you should look at the equation: (7.3x10^-1). This means you would have to move the decimal to the left one time. So, the equation would be .73(.004).
If you wanted to find the answer to this equation, you would get .00292.
Standard notation: (.73)(.004).
Answer:
2.92 x 10⁻³Step-by-step explanation:
(7.3 x 10⁻¹) (0.004) = (7.3 x 10⁻¹)(4 x 10⁻³) =(7.3*4) x 10⁻¹⁻³ =29.2 x 10⁻⁴ = 2.92 x 10⁻³Which equation is represented by the graph below?
A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then what is the cost of the carpet?
Answer:
$2250
Step-by-step explanation:
30 x 25 = 750 -> area
750 x 3= 2250
A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?
Answer:
Option a.
Step-by-step explanation:
Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.
Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.
Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.
The only sequence that has a dilation is the first one:
a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.
Then option a is the correct one.
A class collects data on the number of movie tickets purchased and the total cost of those tickets. The class plots the data on a scatter plot. Which statement BEST interprets their results?
A.
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.
B.
There is likely to be both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.
C.
There is likely to be neither correlation nor causation between the number of movie tickets purchased and the total cost of those tickets.
D.
There is likely to be causation between the number of movie tickets purchased and the total cost of those tickets but not correlation.
Answer:
Step-by-step explanation:
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.
'There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.' This statement best interprets their results.
What is correlation?It is a relationship between two variables or events. However, one variable doesn't actually cause the other.
What is causation?Causation can be applied on two events or variables where variable 2 causes the variable 1.
The class collects data on the number of purchased and the total cost of those tickets.
Let, for a particular time period, this observation is recorded.
Hence, the number of movie tickets purchased and the total cost of those tickets this must be correlation. It can't be causation. Option: A is right.
Learn more about correlation and causation here: https://brainly.com/question/10971583
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Find the slope of the line passing through the points (-7, 8) and (5, -7).
Answer:
m = -5/4
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
(-7 - 8)/ (5 - -7)
-15/12
-5/4
Find the value of x.
11
12
Answer:
22
Step-by-step explanation:
5a-7=2a can someone also explain
Answer:7/3 or 2.333 for short.
Step 1 add both sides with seven, Step 2 simplify by adding the numbers,
step 3 Subtract 2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.
Please help me complete this. And please do not guess
Answer the following questions:
1. Find the scale factor of ABCDE to VWXYZ.
2. Find the scale factor of VWXYZ to ABCDE.
3. Find the value of r.
4. Find the value of s.
5. Find the value of t.
6. Find the value of u.
7. Find the perimeter of ABCDE.
8. Find the perimeter of VWXYZ.
9. Find the ratio of the perimeter ABCDE to the perimeter of VWXYZ.
Answer:
1. 1/3
2. 3
3. 9
4. 13.5
5. 7
6. 5
7. 23.5
8. 70.5
9. 1:3
In a class of 29 students, 20 have a brother and 8 have a sister. There are 3 students who do not have any siblings. What is the probability that a student chosen randomly from the class is an only child?
Answer: 1/4 = 0.25 = 25%
Step-by-step explanation:
Let x be the number of students having both brother and sister.
Brother only is 9-x
Sister only is 16-x
Brother only + sister only + both + neither = 28
(9-x) + (16-x) + x + 7 = 28
32 - x = 28
x = 4
The probability per the diagram is 4/16 = 1/4
Per definition of conditional probability:
prob( brother | sister) = prob ( brother AND sister) / prob ( sister)
= 4/16 = 1/4
1/4 = 0.25 = 25%
Answer:
3/29
Step-by-step explanation:
It's right trust me.
Based on the table, how much more money would a person with a bachelor's degree earn than a person with an associate's degree over a 30 year career?
A) $16,000
B) $480,000
C) $1,095,000
D) $1,575,000
Answer:
B) $480,000
Step-by-step explanation:
Annual salary of a person with associate's degree
= $36,500
Over a 30 year career the person would earn;
= 30 × 36500
= $10,95,000
Now, annual salary of a person with bachelor's degree = $52,500
Over a course of 30 years he would earn;
= 30 × 52500
= $15,75,000
Difference = $15,75,000 - $10,95,000 = $480,000
So the person with bachelor's degree would earn $480,000 more than a person with associate's degree.
Some help me please i have 9 questions
awnser:
m<3=50
Step-by-step explanation:
seen in the picture if you need help let me know
Pleaseee helppp ASAP
Extra 100 points
And brainliest
Answer:
what help I can do for you
Answer:
where is the questions
Step-by-step explanation:
you should write correct question
7. Find the area of PQRS.
S(-4,5)
R(7,-1)
P-4,-34
Q(7,-9)
angelique wants to find out how students in her class travel to school . design a question for her to find this data. include response boxes
Answer: Each box will have different ways of how students come to school
Step-by-step explanation:
1st box= who comes to school by a car
2nd box= who comes to school by public transport
3rd box= who walks to school
4th box= who rides a bike to school
For the sum, find the number of terms, the first
term, and the last term. Then evaluate the
series. If necessary, round to 1 decimal place. If
your answer includes a negative, enter it like: -2,
etc.
Σ" (20 – η)
Number of terms:
How many Terms are in the following expression: x−12÷(3∗2)
Answer:
4.
Step-by-step explanation:
Each term is separated by a symbol.
Terms can be: 4x, 0.5x, 3, 700, etc.
term 1: x
term 2: 12
term 3: 3
term 4: 2
Hope that helped <3
Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?
Answer:
9 1/3
Step-by-step explanation:
6 2/3 + 2 2/3 = ?
6 + 2 = 8
2/3 + 2/3 = 4/3 = 1 1/3
8 + 1 1/3 = 9 1/3
Sharon skated for 9 1/3 hours.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~