Answers
Given:
The figure of a right angle triangle.
To find:
The value of y.
Solution:
If a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In the given right triangle,
[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]
[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]
[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]
Isolate the y variable.
[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]
[tex]y=8[/tex]
Therefore, the value of y is 8.
Related Questions
how many square feet of outdoor carpet will we need for this hole
Answers
Answer:
42 ft²
Step-by-step explanation:
First of all, who makes a hole in this shape?
Anyways,
You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.
We can find the area of the triangle easily with the equation 1/2(bh)
So
1/2(2 · 3)
1/2(6)
3
So the triangle is 3 ft²
Now we can find the area of the rectangle.
The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²
Finally the trapezoid.
Base 1: 6
Base 2: 3
Height: 4 (11-7)
Formula: 1/2h (b1 + b2)
1/2 · 4 (6+3)
2(9)
18 ft²
Now just add them together:
3+21+18=42
Hence, your answer is 42 ft²
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answers
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.
Answers
Y2-y1/x2-x1
I hope that helps the slash is like a fraction also
Please help me! The problem ask you to identify the slope and the y-intercept of the line. And it ask to write the equation in slope intercept form
Answers
Can you guys give a Ratio problem for my class?
Answers
Answer:
no
Step-by-step explanation:
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
Answers
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
Answers
Answer:
5b + 12c
Step-by-step explanation:
-5a +5 a = 0
12b-7b = 5b
12c= 12c
therefore you have the expression 5b+12c
Pleaseeeee helppppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
If you answer correctly i will gove you brainlliest!
Answers
Answer:
13
Step-by-step explanation:
Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?
Earl runs
meters per second.
Answers
Answer:
2.5 meters a second
Step-by-step explanation:
Because I said so
PLease help the question is in the photo
Answers
) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answers
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answers
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
[tex]Number = \frac{V_1}{V_2}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]
Convert division to multiplication
[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]
[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]
[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]
[tex]Number = 3[/tex]
Which expression is equivalent to ^3 square root of 54x + 3^3 square root of 2x, if x ≠ 0
Answers
Answer:
A
Step-by-step explanation:
[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answers
Answer:
5 inches
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
you first divide 12 by 3 then multiply it by 2 to get 8
2.
Here is a recipe for Scones
Scones
Serves 8 people
Butter 60g
Flour 270g
Baking Powder 2 teaspoons
Buttermilk 180ml
How much of each ingredient would be needed to make scones for 2 people?
Answers
Flour=67.5g
Baking powder=half a teaspoon
Buttermilk=45ml
how do I find the area of the composite figure?
Answers
A = 119.4in^2
hope it's helpful ❤❤❤❤
THANK YOU.
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has seats.
Answers
U+M+L = 15,002
L = 3U-50
M = 2U+40
Substitution:
U + (2U+40) + (3U-50) = 15,002
6U - 10 = 15,002
6U = 15,012
U = 2,502
Answer:
The correct answer is 2,502 seats
Step-by-step explanation:
HELP WITH THIS ITS URGET
Answers
Later, someone wants to use the data to find the amount of water at times before the sensor started. What should the sensor have read at the time -7 minutes?
Answers
it 4.56 that how i know because
The following graphs are transformations of f(x) = x^2.
Complete the boxes below to describe the transformations.
A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _
Answers
Step-by-step explanation:
Let's look at A(x) and see how it is different from f(x)
it is shifted downwards by 8 unitsit is not shifted to the left or the rightTherefore A(x) = f(x) - 8
Let's look at B(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is shifted to the left 7 unitsTherefore B(x) = f(x + 7)
Let's look at C(x) and see how it is different from f(x)
it is shifted upwards by 4 unitsit is shifted to right by 5 unitsTherefore C(x) = f(x - 5) + 4
Let's look at D(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is not shifted to right by 12 unitsTherefore D(x) = f(x - 12)
How to do!!!
please help
Answers
Step-by-step explanation:
Supplementary angle adds up yo 180°
So angle 2 is supplementary to angle 3
Supplementary angle adds up yo 180°
So angle 2 is supplementary to angle 3
Find two fractions, when multiplied together make 3/4
Answers
Step-by-step explanation:
9/12 if we divided by 3
6/8 if we divided by 2
hope it helps u
The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The first fraction can be 1/2 when multiplied by the second fraction 3/2.
Therefore,
The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).
= 3/4.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.
Answers
Answer:
9898
Step-by-step explanation:
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
Answers
the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room
Answers
Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.
Given:
Perimeter of the floor of a room = 18 metre
Height of the room = 3 metre
To find:
The area of 4 walls of the room.
Solution:
We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.
The curved surface area of the cuboid is
[tex]C.S.A.=2h(l+b)[/tex]
Where, h is height, l is length and b is breadth.
Perimeter of the rectangular base is 2(l+b). So,
[tex]C.S.A.=\text{Perimeter of the base} \times h[/tex]
Putting the given values, we get
[tex]C.S.A.=18\times 3[/tex]
[tex]C.S.A.=54[/tex]
Therefore, the area of 4 walls of the room is 54 sq. metres.
Determine the period
Answers
Answer:
20
Step-by-step explanation:
A period is how long a wavelength takes.
By picking the maximum y point, you look for the X difference between the first maximum and the second one.
NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.
represent 35 in many ways
Answers
Answer:
............
Step-by-step explanation:
Thirty five
30+5
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?
Answers
Answer: W=25 and L=50
Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.
Answer:
The width of the basketball court is 25 feet and the length is 50 feet
Step-by-step explanation:
Equations:
Let's make:
x = width of the basketball court
2x = length of the basketball court
The perimeter of the court is twice the width plus twice the length:
P = 2x + 2(2x)
P = 2x + 4x = 6x
It's known to be 150 feet, thus:
6x = 150
Dividing by 6:
x = 150/6
x = 25 feet
2x = 50 feet
The width of the basketball court is 25 feet and the length is 50 feet
Help Pleases!!
2^4x=8^x-3
Answers
Answer:
Step-by-step explanation:
If you change the bases to the same number, the exponents must equal each other.