Step-by-step explanation:
Recall the Ratio for tan
Tan(theta) = opposite / adjacent
Tan (x) = 9 / 5
solve for x (use Tan^-1(...) )
Answer:
Step-by-step explanation:
take x as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/5
tan x=1.8
x=tan 61 degree
x=61 degree
for remaining angle
remaining angle+90+61=180 degree(being sum of interior angle of a triangle)
remaining angle=180-151
remaining angle=29 degree
The graph of f(x) and g(x)=f(x) + k is shown on the coordinate plane.
k = _ ?
Answer:
k = 10
Step-by-step explanation:
f(x) has been moved up 10 units to get g(x). So, k = 10
The vertices of a square ABCD are labelled anti-clockwise. A and C are the vertices of an equilateral triangle AEC, whose vertices are also labelled anti-clockwise
Answer:
Sorry, I don't think there's enough information to solve the problem.
Step-by-step explanation:
Well, there's no numbers to say what the measures of the vertices are. Also, it seems like the question got cut out because the second sentence is incomplete.
Please help!! Will give BRAINLIEST!!!!
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Please help! I will give Brainliest!
Who is correct?
Answer:
Eric is correct; side must be between 4 and 16 inches
Step-by-step explanation:
triangle inequality theorem:
6 + 10 > x; 16 > x
x + 6 > 10; x > 4
4 < x < 16
Elena thinks length BC is 16.5 units. Lin thinks the length of BC is 17.1 units. Do you agree with either of them? Explain or show your reasoning.
Answer:
Option D, I agree with neither Elena nor Lin
Step-by-step explanation:
The remaining part of the question is attached herewith
Solution
As we can see in the image
ED is perpendicular to AB and BC is perpendicular to AB
Thus, as per the Pythagoras theorem,
AC^2 = AB^2 + BC^2
14^2 = 6^2 + BC^2
BC^2 = 196-36 = 160
BC = 12.649 OR 12.65
Hence, option D
I agree with neither Elena nor Lin
M is 5 .....plsss help I need emergency help
.......I will mark you as brainlist
Answer:
100
Step-by-step explanation
5^2=25 25x4=100
x : y = 5 : 3
and
x + y = 56
Work out the value of x - y
Answer:
14
Step-by-step explanation:
x / y = 5 / 3, then 3x = 5y , x = 5/3y
we can type 5/3y instead of x ;
5/3y + y = 8/3y = 56, then y = 21
.
now let's find x ;
x - 21 = 56, then x = 35
x - y = 35 - 21 = 14
Step-by-step explanation:
pleases try to understand this the second photo is the first, thanks
i really need help!!!
Jason, Lewis, and Nora will be placed in a line along with 7 other people.
What is the probability that they will be next to each other in any order?
Give percentage
Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
Can somebody answer these for me
Answer:
2) =22
3)= k> 18
Step-by-step explanation:
I really wasn’t paying attention so if you can put an explanation down please that would be amazing
Answer:
16+3 = 19+ 6 =25
Step-by-step explanation:
Add all the numbers
Answer is= 25
What is the greatest common factor of 42 and 3
Answer:
3
Step-by-step explanation:
Prime factorize 42 and 3 and you'll eventually get 3 as your answer.
Answer:
3
Step-by-step explanation:
Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.
A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal? A) 9 cm B) 12 cm C) 12v 2 cm D) 24V3 cm 12 VT Fora
Find the area please
Answer:
The area of the trapezoid you have provided is 24.6
Step-by-step explanation:
The area of a trapezoid is :
[tex]0.5h(b_1 + b_2)[/tex]
Just do some substitution:
[tex]0.5 * 6 * (2 + 6.2) = 3 * 8.2 = 24.6[/tex]
If OK and GE are parallel, what must the length of GE be?
Answer:
let the length of GE be x,
[tex] \frac{9}{3} = \frac{x}{2} [/tex]
being similar triangle.
9×2=x×3
18 = 3x
x = 18/3
x = 6 cm
please help me i love u
Answer:
It’s A.
Step-by-step explanation:
Select all ordered pairs that satisfy the function y= -1/2x + 4 a) (-1, 3&1/2) b) (1, 3&1/2) c) (2&1/2, 3) d) (2, 3)
Answer:
The correct options are:
Option b) (1, 3 + 1/2)
Option d) (2,3)
Step-by-step explanation:
Suppose that we have a function:
y = f(x)
A ordered pair (a, b) satisfies this function if:
b = f(a).
In this case, the function is:
y = -(1/2)*x + 4
Let's try with each one of the options:
a) (-1, 3 + 1/2)
Replacing these values we get:
3 + 1/2 = -(1/2)*-1 + 4
3 + 1/2 = 1/2 + 4
3 + 1/2 = 4 + 1/2
This is false, then the point (-1, 3 + 1/2) does not satisfy the function.
b) (1, 3 + 1/2)
Replacing these values we get:
3 + 1/2 = -(1/2)*1 + 4
3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2
3 + 1/2 = 3 + 1/2
This ordered pair satisfies the function.
c) (2&1/2, 3)
Replacing these values we get:
3 = (-1/2)*(2 + 1/2) + 4
3 = -(1/2)*2 - (1/2)*(1/2) + 4
3 = -1 - 1/4 + 4
3 = 3 - 1/4
This is false, then the point (2 + 1/2, 3) does not satisfy the function.
d) (2, 3)
Replacing these values in the function we get:
3 = -(1/2)*2 + 4
3 = - 1 + 4
3 = 3
This is true, then (2, 3) satisfies the function.
Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.
20 points pls answer
what is this equation ?
4008 - 1759
Answer:
The equation to this problem is 2,249
Answer:
the answer
Step-by-step explanation:
2249 OR
2,249 ;)))
2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
How to solve a linear equation
If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:
2 · x + 19 = x + 23 (1)
Now we proceed to solve for x:
x = 4
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
To learn more on linear equations: https://brainly.com/question/14695009
#SPJ1
Ron earned 13200 in interest on an account with a principal amount of 24000 and an interest rate of 11%. How long were the funds in the account?
Answer:
5 yearsStep-by-step explanation:
It is assumed the interest is simple.
Use the interest formula:
I = PrtWe have:
I = 13200P = 24000r = 11% = 0.11Substitute values and solve for t:
13200 = 24000*0.11t13200 = 2640tt = 13200/2640t = 5 yearsAn online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pieces of furniture and must sell at least $5400 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
13,500
Step-by-step explanation:
x + y = 750
750 x 18 = 13.500
The value of the number of tables will be 6 and the number of chairs will be 12.
How to form an equation?When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.
In other words, an equation is a set of variables that are constrained through a situation or case.
From the question constraint of a maximum of 18 pieces of furniture
x + y =18
From the question constraint of at least $5400 worth of chairs and tables
600x + 150y ≥ 5400
By equation first, y = 18 - x put this into second
600x + 150(18 - x) ≥ 5400
450x ≥ 2700
x ≥ 6 hence there is need to sell at least 6 tables.
Put x =6 into x + y =18 then
y = 12 hence at least 12 chairs need to be sold.
For more about the equation
brainly.com/question/2263981
#SPJ2
Simplify the product. Write the answer in standard form.
(9 − 2t2)(9 + 2t2)
Answer:
-4t^4+81
Step-by-step explanation:
(9-2t^2)(9+2t^2)
−4
Find the value of x.
Answer:
X = 55
Step-by-step explanation:
The angles have the same degrees, as they intersect at one point.
Write this decimal
as a percent.
0.872
Answer:
87.2%
Step-by-step explanation:
move the decimal point 2 places to the right
Which statement is true?
Answer:
B is the correct answer
Step-by-step explanation:
3. Which choice below is an approximate volume of oil that the tank
below can hold?
78 ft. **
25 ft.
OIL TANK
*WHAT IS THE ANSWER*
Answer: the answer is 119,459ft lol
Step-by-step explanation:
I sacrificed my own score to get a result for the correct answer
The area of Kylie's room is 400 square feet. The width of her room is 20 feet. What is the length of her room?
Answer and Step-by-step explanation:
Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.
So, do 400 divided by 20 to get the length, as length times width equals the area.
400 divided by 20 = 20.
The length of the room is 20 ft. (meaning the room is a perfect square.
#teamtrees #PAW (Plant And Water)
2. A six sided cube was rolled. What is the probability of showing an odd number?"
2 points
10%
30%
50 %
1%
Answer:
50 % since there are 3 odd numbers on a die [1.3.5] and 3 even numbers [2,4,6]
Step-by-step explanation:
Answer:
50
Step-by-step explanation: PLZ MARK BRANILIST
1 3 5 are odd numbers
2 4 6 are even
so it will be like half and a half
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
11 2/9.
Step-by-step explanation:
1 8/9 + 9 1/3
= (1 + 9) + (8/9 + 1/3)
= 10 + (8/9 + 1/3)
8/9 + 1/3:
LCD of 3 and 9 is 9 so we have:
8/9 + 3/9 = 11/9
11/9 = 1 2/9
Answer = 10 + 1 2/9
= 11 2/9.
Answer:
[tex]11\frac{2}{9}[/tex]
Step-by-step explanation:
[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]