Answers
Answer:
8√3
Step-by-step explanation:
adj = 16√3 ÷ 2 = 8√3
Answer:
D)16
Step-by-step explanation
we are given a 30-60-90 triangle and the longer side of the triangle
remember the properties of 30-60-90 triangle
the hypotenuse is twice as much as the shorter legthe longer leg is the square root of 3 times shorter legas we are given the longer leg we'll use the second property
let the shorter leg be x
so our equation is
[tex]\displaystyle x\sqrt{3}=16\sqrt{3}[/tex]
divide both sides by √3:
[tex]\displaystyle \frac{x\sqrt{3}}{\sqrt{3}}=\frac{16\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\displaystyle x=16[/tex]
hence,
the length of the shorter leg is 16
Related Questions
A 7-pack of ice cream bars costs $3.36. What is the unit price?
Answers
Answer:
$0.48
Step-by-step explanation:
3.36/7=0.48
Done the probability that a randomly selected student will be a junior, given that the student owns a car.
Answers
Since they say the student owns a car, that means the population is the first column only. That gives us a denominator of 22. Only 8 of the 22 students with cars are juniors. So there is an 8/22 chance...which reduces to 4/11.
Please let me know if you have questions.
Pameton a
Function A
Function B
y = -x2 + 6x - 1
Scientific
Calc
Consider the two functions. Which statement is true?
A)
Highlight
Time
Remaining
01:07:30
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The maximum for function A is greater than the maximum for function B.
B)
The maximum for function B is greater than the maximum for function A.
The minimum for function A is greater than the minimum for function B.
D)
The minimum for function B is greater than the minimum for function A
Answers
The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection
Answers
X = 10
Y= 7
X + Y = 17
X - Y = 3
The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.
We need to find those two numbers.
Let x and y are the two numbers.
Sum of two numbers is 17
x+y=17..(1)
Difference of two numbers is 3
x-y=3..(2)
From equation 1,
x=17-y
Now substitute this in equation 2.
17-y-y=3
17-2y=3
17-3=2y
14=2y
Divide both sides by 2
y=7
Now add y value in equation 1
x+7=17
Subtract 7 from both sides
x=10
Hence, the two numbers are 7 and 10.
To learn more on Equation:
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The area of the surface of an office desk is 12 square feet. The desk is 2 feet wide. How long is it?
Answers
Answer:
Length is 6 feet
Step-by-step explanation:
l=A
w=12
2=6
hope you get it right
From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.
Answers
Answer:
0
Step-by-step explanation:
From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = Opposite/ Adjacent
θ = 180°
Adjacent = 80m
Opposite = Height = x
Hence,
tan 180 = x/80
Cross Multiply
x = tan 180 × 80
x = 0m
The height of the flag = 0
21. If the winning score in golf is the lowest number, what was the lowest score out of the integers: –2, +1, –5, +3, –2, –1, +4, 0, +1? (1 point)
–5
0
1
4
22. What is the sum of –3 and 4? (1 point)
7
–7
–1
1
23. Evaluate the expression –273 – (–576) = (1 point)
–849
303
–303
849
24. Divide:
start fraction negative 56 over 4 end fraction equals
(1 point)
14
–14
25. Evaluate the expression (2 – 19) + (–12) (1 point)
+33
–33
+29
–29
26. Solve: –2x = 22, x = ___ . (1 point)
–11
–44
+11
+20
27. Solve: 5 + 3x = –22, x = ___ . (1 point)
–9
explmathfinal_27
–81
+9
28. Solve: 5(x + 3) = 35, x = ____ . (1 point)
+10
–10
–4
+4
29. Find the median for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
30. Find first quartile for the set of data.
{80, 45, 32, 64, 22, 63, 45} (1 point)
32
64
50.14
48
31. Find the first quartile for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
32. Find the maximum for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
9.9
33. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21. (1 point)
8.5
8
20
14.1
34. If y varies directly with x and y = 2 when x = 15. Find x when y = 8. (1 point)
x = 60
x = 3.75
x = 240
x = 150
35. If y varies inversely with x, find the constant of variation with x = –40 and
y = 4. (1 point)
+10
–10
+160
–160
36. A certain project can be completed by 28 men in 90 days. The numbers of men needed varies inversely to the time needed to complete the project. If the contractor wants to complete the project in 72 days, how many men does he have to have working? (1 point)
30 men
270 men
35 men
28 men
37. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 95 kg on Earth weighs 38 kg on Mars. How much would a 100 kg person weigh on Mars? (1 point)
36.1 kg
40 kg
38 kg
41 kg
38. The money that a plumber makes varies directly with the number of hours he works. If he makes $125 in 5 hours, how much does he make in 8 hours? (1 point)
$200
$40
$78.12
$150
39. If you roll a red number cube (numbers 1–6), and a green number cube (number 1–6), how many possible combinations can you have? (1 point)
216
18
12
36
40. The multiple-choice part of an assignment has 4 possible choices for each of the 5 questions. How many possible ways can you answer the assignment? (1 point)
9
1,024
40
20
41. How many different squads of 5 players can be picked from 10 basketball players? (1 point)
252
30,240
50
120
42. Determining the number of seating arrangements with 10 people in 7 chairs requires use of ? (1 point)
combinations
permutations
probability
substitution
43. Determining the number of 3-person committees formed from a club with 12 members requires use of ? (1 point)
combinations
permutations
probability
substitution
44. Determining the number 5-card hands that can be drawn from a deck of 52 requires use of ? (1 point)
substitution
permutations
probability
combinations
45. Tyler has 5 shirts, 6 pairs of slacks, and 3 pair of shoes. If every shirt can be worn with any pair of slacks and any pair of shoes, how many outfits does Tyler have? (1 point)
14
33
90
21
46. How many committees of 2 people are possible from a group of 11? (1 point)
165
22
13
55
47. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability that you will draw a red marble when you pick one out? (1 point)
5over20
15 over 20
7 over 20
2over5
48. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability you will draw a red or blue marble? (1 point)
5over20
15 over 20
7 over 20
3over5
49. What is the probability of not rolling a 5 on a die? (1 point)
one-fifth
one-sixth
one-fourth
50. What is the probability of rolling a 7 on a die? (1 point)
one-fifth
one-sixth
0
1
please i need help!
Answers
It can be deduced that the addition of -3 and 4 will be 1.
How to add the numbersIt can be deduced that the addition of -3 and 4 will be;
= -3 + 4
= 1
When the winning score in golf is the lowest number, the lowest number is -1.
The value of the expression -273 - (-576) will be:
= -273 - (-576)
= -273 + 576
= 303
Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:
= (2 - 19) + (-12)
= -17 - 12
= -29
The value of -2x = 22 will be:
-2x = 22
Divide both side by -2
-2x/-2 = 22/-2
x = -11
The value of 5 + 3x = -22 will be;
5 + 3x = -22
5x = - 22 - 5
3x = -27
x = -27/3 = -9
5(x + 3) = 35
5x + 15 = 35
5x = 35 - 15
5x = 20.
5x/5 = 20/5
x = 4
The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1
Learn more about addition on:
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Alonso is a waiter at a restaurant. Each day he works, Alonso will make a guaranteed
wage of $30, however the additional amount that Alonso earns from tips depends on
the number of tables he waits on that day. From past experience, Alonso noticed that
he will get about $8 in tips for each table he waits on. How much would Alonso
expect to earn in a day on which he waits on 20 tables? How much would Alonso
expect to make in a day when waiting on t tables?
Answers
Answer:
20 tables= 190
earining for t tables: 30+8t
Step-by-step explanation:
In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):
Answers
Answer:
2.32
Step-by-step explanation:
Given the data:
3, 8, 1, 4, 7
The mean absolute deviation (MAD) :
Σ|x - m| / n
Mean, m = Σx / n
Σx = 23
n = 5
Mean, m = 23 / 5 = 4.6
|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|
(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5
= 2.32
Emergency help please
Answers
Answer:
x = 91
Step-by-step explanation:
y = 130
The supplementary angle with y is 50
z = 321
360 - 321 = 39
Interior angles:
50 and 39 and x
To find x:
x + 50 + 39 = 180
x + 89 = 180
x = 180 - 89
x = 91
Rewrite in simplest terms: 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)
Answers
Answer:
6g-90h+6320gh-720h²-4480g²
Answer:
6g−86h
Hopefully this is correct :)
Can someone help please help me with this math problem please:)
Answers
Answer:
388 in²
Step-by-step explanation:
(10)(19) + (11)(18) = 388 in²
Answer:
388 in²
Step-by-step explanation:
The upper rectangle (the big one) is 30 in long and 10 in wide. Thus, its area is the product of these two measurement: 300 in².
The lower rectangle is 8 by 11 inches, or 88 in²
The total area of the figure is 388 in²
Trinian mailed a box to her aunt The base of the box was a square with a side length of 20 inches. The box was 10 inches tall. Which of the following was the volume of the box? A. 2.000 in В. 4,000 in 200 in D 1,350
Answers
Answer:
the shape of the box is a rectangular prism.The way to solve this is by using the formula V=l*w*h
we only have 20(l) and 10(h) so here's a clue it said that the base of the box was squared so the width would also be 10 in. so....
V=20*10*10
₃
=2000 in
Step-by-step explanation:
which expressions are equivalent to 5/7x +5?
Answers
Answer: You could do 7x+5 over 5, like a fraction. Or you could do 5/7 (x+5). I take the slash as a fraction so..
Hope it helps
Need help will give brainliest if you answer plz explain how I want to learn?
Answers
Answer:
16 degrees
Step-by-step explanation:
This is a right triangle with shorter leg 3 in and hypotenuse 11 in. The 3 in side is opposite the angle theta. Thus, by definition of the sine function,
sin theta = 3/11 = 0.273
Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees. This rounds up to 16 degrees.
Can someone plzzzzz help me with number 8
Answers
Answer:
An example of complementary angles would be Angle FA and Angle EF
Step-by-step explanation:
These angles add up to 90 degrees
Hope this helps!
Answer:
∠AGF and ∠FGE, or ∠BGC and ∠CGD
Explanation
complementary angles are any angles which add up to 90°. since ∠AGB is a right angle according to the diagram, and AGD as well as BGE are straight lines (assumption), ∠DGE is also equivalent to 90° (opposite angles).
thus, the sum of ∠AGE and ∠BGD would be 90° each, so we know that ∠AGF and ∠FGE or ∠BGC and ∠CGD each add up to 90°.
i hope this helps! :D
Pleaseeeee helppppp will mark you as brainlist
Answers
Answer:
The length of the hypotenuse is 91.7
Step-by-step explanation:
To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39
Now we use pythagorean theorem, A squared + B squared = C squared.
83 squared = 6889
39 squared = 1521
Now add them up
6889 + 1521 = 8410
Now since it is C squared, we need to find the square root to get C.
The square root of 8410 = 91.7060521 or to round the tenth, 91.7
(っ◔◡◔)っ ♥ Hope It Helps ♥
Can somebody please help
Answers
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
My problem is posted below:
Answers
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
Answers
Answer:
2/5 bucket
Step-by-step explanation:
1/2 and 3/4 are equal. So 2/5 is wrong.
hope this helped, and please mark as Brainliest <3
Help me pls!!! I will give brainleiest
Answers
Answer:
D
Step-by-step explanation:
this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-3x^2+239x-2268
y=−3x
2
+239x−2268
Answers
Answer:
The link is a virus don't search it
Step-by-step explanation:
Answer:
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-3x^2+239x-2268
y=−3x
2
+239x−2268
If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the
number that comes on the extreme left is ________.
Answers
Answer:
The number that'll come on the exreme left will be the smallest negative integer among 12, -6, 8 , -5, 7, -9, -11 which will be - 11.
[tex] \infty \infty [/tex]
A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit
Answers
Answer:
$5.98
Step-by-step explanation:
Unit price is the cost of a single ticket
41.84/7=5.98
Answer:
$5.99
Step-by-step explanation:
41.84/7= 5.98571429 = 5.99
How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?
Answers
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.
Answers
Answer:
Yes
Step-by-step explanation:
Given
GH:
[tex]-6y - x = 2[/tex]
Required
Can EF be
[tex]4 = y - \frac{1}{6}x[/tex]
First, we determine the slope of GH
[tex]-6y - x = 2[/tex]
Solve for 6y
[tex]6y = -x - 2[/tex]
Solve for y
[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]
[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]
An equation has the form:
[tex]y =mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{1}{6}[/tex]
Next, determine the slope of EF
[tex]4 = y - \frac{1}{6}x[/tex]
Make y the subject
[tex]y = -\frac{1}{6}x + 4[/tex]
The slope is:
[tex]m = -\frac{1}{6}[/tex]
Compare the slopes of both lines.
[tex]m=m = -\frac{1}{6}[/tex]
Since they have the same slopes, then the equation of EF is possible
Which of the following is irrational?
WILL GIVE 20 POINTS!! PLEASE SOMEONE HELP ASAP
Answers
Answer:
√6 is the right answer. You're correct.
Step-by-step explanation:
√6=2.44948974278(irrational) because it has non repeating decimals
√900=39
√25=5
√0.16=0.4
Distance between -12 and -15 to -12 and 11
Answers
Answer:
35.4 it appears if this is ordered points of (x,y) form where the distance formula is applied or 2squareroot313
Step-by-step explanation:
whats 24/6- 4/2 whats the answer dawg
Answers
Answer:
2
Step-by-step explanation:
24/6 - 12-6
=12/6
=2/1
What is the volume, in cubic in, of a rectangular prism with a height of 9in, a width of 4in, and a length of 5in?
Answers
Answer:
The volume is 180 in
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container;
Answer:180
Step-by-step explanation: