Answer:
A
Step-by-step explanation:
2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.
==========================================================
Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
-------
Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
-------
Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet
7. Lin is saving $300 per year in an account that pays 15% interest per year,
compounded annually. About how much money will she have 20 years after she
started?
A. $545.45
B. $3,748.78
C. $9,411.43
D. $1,124,634,54
Answer:
c
Step-by-step explanation:
to much working out but just as a summary section of working out
3*15=45
300+45=$345(1st year)
345+300=645
6.45*15=96.75
645+96.75=$741.75(2nd year)
keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)
The total money with Lin after 20 years will be $4910.
What is the formula to calculate compound interest?The formula for compound interest -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.
We can write the total money with Lin after 20 years as -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
A = 300(1 + 0.15/1)²⁰
A = 300(1 + 0.15)²⁰
A = 300 x (1.15)²⁰
A = 300 x 16.37
A = 4910
Therefore, the total money with Lin after 20 years will be $4910.
To solve more questions on compound interest, visit the link below -
https://brainly.com/question/29134153
#SPJ2
which function is graphed?
Step-by-step explanation:
hello it's B)
v ::::: ok
.
.
.
.
.v:
please help step by step how do I solve this
Answer:
my suggested answer (576)
Step-by-step explanation:
i chose the wrong answer :(
PLEASE HELP ME!
EXPLANATION = BRAINLIEST
the area is ___ square units
Answer:
50 units²
Step-by-step explanation:
Solve for both long sides:
6² + 8² = x²
36 + 64 = x²
100 = x²
x = 10
Solve for both short sides:
3² + 4² = x²
9 + 16 = x²
25 = x²
x = 5
Area:
5 x 10 = 50
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches
B is 4 inches i think
hope that helps
Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...
Answer:
B
Step-by-step explanation:
In an artihmetic sequence, there is a constant difference between two consecutive terms.
So for instance:
[tex]-6 -(-3) = -3[/tex]
[tex]-3 -0 = -3[/tex]
[tex]0 - 3 = -3[/tex]
As you can see there is a difference of [tex]-3[/tex] from one term to the next
____________________________
You can also find the constant difference the other way around, for instance
[tex]3-0=3[/tex]
[tex]0-(-3) = 3[/tex]
[tex]-3-(-6) = 3[/tex]
In this example, you can see that each term is [tex]3[/tex] higher than the previous term
I hope this helps!!
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answer:
it would be 0.7 got it right when i done it
Step-by-step explanation:
Answer: real answer is 0.278
Step-by-step explanation:
Please help me with this asap if you can.
Answer:
The first box plot is for group 2
The second box plot is for group 1
The third box plot is for group 3
Select all of the true statements.
A.
1
3
foot
>
5
inches
B.
4
miles
>
7
,
000
yards
C.
2
1
4
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
Answer:
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
Your throw your ball into a air from height of 4.2
Answer:
Done
Step-by-step explanation:
The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4
Identify each situation as a permutation or a combination.
1. choosing friends to invite to a party
2. choosing your top 10 favorite actors
Answer:
1. Combination
2. Permutation
Step-by-step explanation:
Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).
1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).
2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.
Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802
Answer:
D. 125%
Step-by-step explanation:
First day = 80 responses
Second day = 180 responses
Increase in responses = 180 - 80
= 100 responses
what percent is the increase 100 of the original number of responses 80
= Increase in responses / original number of responses × 100
= 100/80 × 100
= 1.25 × 100
= 125%
The percent increase 100 of the original number of responses 80 = 125%
A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?
Answer:
$72
Step-by-step explanation:
For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.
480 x .4 = 192
40% of $480 is $192. The next step is to find the difference between $192 and $120.
192 - 120 = 72
Therefore, you need to give them of refund of $72.
(-26)x(-41)
evaluate the following equation.
help me please
Answer:
[tex]1066[/tex]
Step-by-step explanation:
[tex]( - 26) \times ( - 41)[/tex]
[tex]26 - 41[/tex]
[tex]1066[/tex]
Hope it is helpful....What is the area of the triangle below?
3 18
A. 27 sq. units
B. 18 sq. units
C. 21 sq. units
D. 54 sq. units
Helppppp ASAP please
Answer:
A. 27 sq. units
Step-by-step explanation:
A = 1/2 · b · h
A = 1/2 · 3 · 18
A = 1/2 · 54
A = 27 sq. units
Answer:A-27
Step-by-step explanation:
A=1/2 18*3=27
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
Calculate the length of side AC:
Answer:
146⁰ + x = 180
x = 34⁰ is AC ..a..a.
What is the median of the data represented in the line plot?
Answer:
The answer is Choice D
Step-by-step explanation
The median is the middle value in the given set of data.
If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.
Thus, from the data, it is obvious that the number of data in the given set is 13.
Hence, the middle number is 23.
Therefore, the median of the data is 23.
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
there are 4 groups of 3
Step-by-step explanation:
12 ÷ 3 = 4
answer : 4
Step-by-step explanation:
12 = 3 + 3 + 3 + 3 there are 4 groups of 3
-42+(-17) simplified
Answer:
La respuesta es
Step-by-step explanation:
-42+(-17)=. - 59
Espero ayudarte suerte
Hi there!
»»————- ★ ————-««
I believe your answer is:
-59
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which represents the table ?
Answer:
b
Step-by-step explanation:
dfghdfhjdfjdfj
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y
the degree of the following polynomial : (6)
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
Hunter is 9 years older than 3 times the age of his nephew.
Hunter is 33 years old. How old is his nephew?
Answer:
Hunter's nephew is 8 years old.
Step-by-step explanation:
We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.
3x + 9 = 33
To get 3x by itself, subtract 9 from both sides.
3x + 9 - 9 = 33 - 9
3x = 24
To get X alone, divide by 3 on both sides.
24 divided by 3 is 8. Hunter's nephew is 8 years old.
is 2y=10 a function?
Answer:
2y = 10 is an equation
An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)
A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?
Answer:
It is 512.85
Step-by-step explanation:
A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85
It is 512.85
21*5.3*39=512.85