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.
Which represents the table ?
Answer:
b
Step-by-step explanation:
dfghdfhjdfjdfj
What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y
the degree of the following polynomial : (6)
Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!
Answer: 35.98in
Step-by-step explanation:
Use the formula: h=3 v/pi(r^2)
Answer:
V = 36.0 in
Step-by-step explanation:
V of cylinder = (1/3)πr^2(h)
V of cylinder = 3052 cubic inches
r = 9 in
3052 = (1/3)π(9)^2(h)
3052 = (1/3)π(81)h
3052 = 84.82300165h
divide both sides by coefficient of h
h = 36.0 in (rounded to nearest tenth)
Help asap please 50 points
Answer:
The area of rectangle is 8 x ² y ².
Step-by-step explanation:
Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xyTo Find :-➛ Area of rectangle
Formula Used :-➛ Area of rectangle = Length × Breadth
Solution :-Firstly we need to find Breadth of rectangle
Using Formula
Area of rectangle = Length × Breadth
Where
Length of rectangle = 2xy
Breadth of rectangle = 2 × 2xy = 4 xy
Substituting the values into the Formula
Area of rectangle = 2 xy × 4 xy
multiply, we get
Area of rectangle = 8 x² y²
Therefore, Area of rectangle is 8 x ² y ².
[tex]2x^2+8x-7=-2[/tex]
Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer
Answer:
x = -2 ±√(13/2)
Step-by-step explanation:
can someone help please !! giving brainlist to anyone who answers
Answer:
with?
Step-by-step explanation:
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours
Answer:
Latoya will charge $10 more to tutor for 5.5 hours
Step-by-step explanation:
We shall look at the total charges of both tutors individually.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.
This means that for the first hour, Oscar charges $25.
For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.
If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.
For 5.5 hours, the cost of Oscar's tutoring is
$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.
Now, we shall look at Latoya's tutoring cost.
f(x) =
30x,
[tex]0 \leqslant x \leqslant 3[/tex]
20x,
[tex]3 < x \leqslant 6[/tex]
10x,
[tex]x > 6[/tex]
The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.
Hence, the tutoring cost for Latoya is $20*5.5 = $110.
In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.
f
is inversely proportional to
√
g
.
When
f
=
12
,
g
=
64
Work out
f
when
g
=
16
The value of 'f' when 'g' is 16 is 24.
How to calculate the value
If 'f' is inversely proportional to square root of 'g', it can be expressed thus;
f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]
Then
f * [tex]\sqrt{g}[/tex] = constant
f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂
If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,
f₂ = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4
Substitute into formula
12 * 8 = f₂ * 4
Make 'f₂' subject
f₂ = 96 ÷ 4
f₂ = 24
Therefore, the value of 'f' when 'g' is 16 is 24.
Learn more about indirect variations:
https://brainly.com/question/6499629
#SPJ1
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 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.
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.
Your throw your ball into a air from height of 4.2
Answer:
Done
Step-by-step explanation:
JESSIE CAN MAKE 300 PHOTOCOPIES OF A PAGE IN 3 MINUTES. ELSA XANDO THE SAME JOB IN 6 MINUTES. IF BOTH OF THEM WORK TOGETHER, HOW LONG IT WILL TAKE THEM TO DO THE JOB?
Answer:
elsa can do 150 in 3 minutes.
so together they can do 450 in 3 minutes, or 150 in 1 minute
they would need two minutes
Answer:
4.5 minutes long to do their job.
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
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
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
Which type of angle is related to supplementary angles?
Reflex
Straight
Acute
Obtuse
straight angle because the supplementary angle and straight angle is same.
please help step by step how do I solve this
Answer:
my suggested answer (576)
Step-by-step explanation:
i chose the wrong answer :(
[tex]given \: f(x) = \frac{4x - 10}{x - 2[/tex]
determine the x and y intercept of f
Given :-
f(x) = 4x - 10/ x -2To Find :-
x and y intercept .Solution :
Let ,
→ y = f(x)
So that ,
→ y = 4x - 10/ x -2
For finding x intercept , substitute y = 0 .→ 0 = 4x - 10/x - 2
→ 4x - 10 = 0
→ 4x = 10
→ x = 10/4
→ x = 5/2
→ x = 2.5
For finding y intercept , put x = 0 .→ y = 4*0 - 10 / 0 -2
→ y = -10/-2
→ y = 5
x intercept = (2.5,0)y intercept = (0,5)Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?
Answer:
[tex]D = 161^o[/tex]
Step-by-step explanation:
Given
[tex]\angle B = 19^o[/tex]
Required
Find D
The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.
To solve for D, we make use of:
[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral
Make D the subject
[tex]D = 180^o -B[/tex]
[tex]D = 180^o -19^o[/tex]
[tex]D = 161^o[/tex]
35 points!!! Which is the general form of the equation of the circle shown?
Options shown on image.
PLEASE PLEASE HELP ME WITH THIS PLEASE!!! ITS IXL
ANSWER EXPLANATION = BRAINLIEST
You can transform ⨀N to ⨀N' by translating it and then performing a dilation centered at N'. Find the translation rule and the scale factor of the dilation
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦ (____, ____)
Scale factor: _____?
THANK YOU!
Answer:
ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college
Step-by-step explanation:
Answer:
below
Step-by-step explanation:
The point N is at (-7, -8)
The point N’ is at (4, -4)
On the x-axis, -7 to 4 is a shift of 11 units to the right.
On the y-axis, -8 to -4 is a shift of 4 units upward.
To find the scale factor, we need to find the change in radius size.
As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.
As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.
6 is 3 times the amount of 2, meaning the scale factor is 3.
Hope this helps!
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:
Annabelle cuts 2 feet from a 5-foot length of rope. Then she cuts 17 inches from the rope. How many inches of rope are left?
Answer:
1.58feet
Step-by-step explanation:
Given data
Total lenght of rope= 5 feet
She cuts 2 feet
Remainder= 5-2= 3feet
Now let us convert 17inches to feet
from tables, 17inches is 1.41667feet
Hence the amount of rope now left is
=3-1.41667
=1.58feet
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%
which function is graphed?
Step-by-step explanation:
hello it's B)
v ::::: ok
.
.
.
.
.v:
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.
-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.