Answer:
[tex]3\sqrt{3}[/tex] = a
Step-by-step explanation:
We can solve this in 2 ways, The easier way would be:
Tan(60) = a/3
=> Tan(60) * 3 = a
=> [tex]3\sqrt{3}[/tex] = a
Hope this helps!
An 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
Which two products can add to find 9 times 4?
Answer:
2x18=36
im not sure if that's what you meant but i can answer again if you want
Step-by-step explanation:
Answer:
sin ( 330 )
csc ( 60 )
cos ( 390 )
Step-by-step explanation:
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.
The number line below represents the solution to which inequality?
F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27
PLEASE HELP! 100 PTS
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.
C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.
2 ft above
AB=10ftBC=400ftNow
Angle be x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]
[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]
[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]
[tex]\\ \rm\Rrightarrow X=1.432°[/tex]
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
A. -5
B. 11
C. 38 - 8i
D. 3+ 8i
Answer:
D.
Step-by-step explanation:
Answer:
Step-by-step explanation:
D
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]
How many square feet of the carpet will the Smiths use for their family room.
find the sine of < I
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
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
When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.
Answer:
(46,56)
Step-by-step explanation:
60 people were asked the colour of their car
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
5. Classify each triangle by its angle and sides
Answer:
5 is D
6 is C
Step-by-step explanation:
Define:
Equilateral - All sides and angles are congruent
Isosceles: Two congruent sides and two congruent angles
Scalene: No congruent sides or angles
Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )
obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )
Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )
Answer:
the triangle shown in # 5 has a right angle and 2 congruent sides and angles
Therefore the triangle in #5 is a right isosceles
The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.
[tex] \sqrt{4 {}^{4} } [/tex]
Answer:
16 will be your answer
Step-by-step explanation:
hope it helps..
Thanks again for the points bro!!
20 points pls answer
SOMEONE PLEASEEEE HELPPPP
[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]
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.
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)
I need help on this math question, coordinate planes.
Answer:
where is the question?
Step-by-step explanation:
the picture is all black.
Answer:
4840 yards squared!
Can somebody answer these for me
Answer:
2) =22
3)= k> 18
Step-by-step explanation:
Write this decimal
as a percent.
0.872
Answer:
87.2%
Step-by-step explanation:
move the decimal point 2 places to the right
2 x - 3+ 1 x6 is equal to?
A. - 48
B. - 1
C.0
D. 1
Answer:
C.0
Step-by-step explanation:
THINK PEMDAS
1*6 multiply first. 1*6 is 6
2*-3 is -6
then when you add them, they cancel out
6-6=0
What is the equation of the line?
Answer:
The line equation is x=3 because the line covers all of the possible y values within the coordinate x=3.
What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 9 cm wide, and 7cm tall?
Answer:
This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.
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.
What is the total surface area of the prisim
Answer:
A. 846 cm²
Step-by-step explanation:
1539 ÷ 19 = 81
√81 = 9
9 · 9 · 81 = 1539
A = 2(wl + hl + hw)
A = 2(19 · 9 + 9 · 9 + 9 · 19)
846 cm²
(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]
Select ALL the expressions that have the same value as 9s
1. 9+s
2. 9*s
3. 3s + 6s
4. 3(3s)
5. s(5+4)
6. 3s * 3s
7. s+s+s+s+s+s+s+s+s
Answer:
1
Step-by-step explanation: