Help I will be marking brainliest!!!
A. 18√3
B. 56√3
C. 36√3
D. 56
Show work, if possible. Thanks❤️
Answers
=============================================
Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to choice A as the final answer
----------------------
An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
Related Questions
A triangle where one angle measures 20° and another angle measures 45°.Help please
Answers
Answer: 115 degrees
Step-by-step explanation:
Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180
HURRY PLEASE I NEED HELP
Answers
Step-by-step explanation:
as I guess it's a link question between some others so can you show us whole quetsion of it
Is this correct? At this time of the day my brain starts dying lol.
Answers
Answer:
The first one is 0.63
Step-by-step explanation:
3.79 ÷ 6 is 0.63
The second one is correct
Answer:
the first one is wrong the second one is right
Step-by-step explanation:
the first one is - 0.63166666666 or 0.63
a gear turns 9 times in 1.5 minutes. in how many minutes will it turn 240 times
Answers
WILL AMRK BRAINLIEST IF GOTEN CORRECT
Answers
Answer: if im not mistaken its D
Step-by-step explanation:
What is the surface area??
Answers
Answer:
120+96+rhom do the rest
Step-by-step explanation:
PLZ HELP ILL MARK BRAINLIEST!!!!!!!!!!
Answers
Answer:
it would be number two.
Step-by-step explanation:
It's basically just asking which angles are similar. look at the angels and if you use a protractor you can do exact measurements. It looks complex but its not just go step by step, stay calm. Glad to help!
what is the probability of rolling a standard die twice and getting an even number, then 5?
Answers
Answer: 22.222% or .2222
Step-by-step explanation:
There are 6 sides on a standard die. Two of the numbers (1&4) are perfect squares so the chances of getting a perfect square on the first roll is 2/6. There are 4 numbers less than 5 (1,2,3,4). The chances of rolling a number less than 5 on the second roll is 4/6. The probability of two events is equal to the product of those events or in this case 2/6 x 4/6 which is 8/36. Which reduces to 2/9. That’s 22.222% or .2222
At the table below, which equation could be used to show the relationship between x and y?
Answers
Answer:
You can find the anwer by count every 1/2
Step-by-step explanation:
1 =1/4
2=1/2
3=3/4
4=1
5=5/4
just count the right way to get the answer
quadritlet ABCD is rotataed at 90 about the orgin what are the coordinates of quadriltel A'B'C'D' A 5,5 B 5,1 C 2,1 D 1,5
Answers
Answer:
k
Step-by-step explanation:
j
Write an equation of a line that goes thru the points (-2, 6) & (3, -4)
Answers
Answer:
The equation of the line is;
y = -2x + 2
Step-by-step explanation:
Here, we want to write the equation of the line that passes through the given points
The general form of the equation is
y = mx + b
where m is the slope of the line and b is the y-intercept of the line
Mathematically, to get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1,y1) = (-2,6)
(x2,y2) = (3,-4)
m = (-4-6)/(3+2) = -10/5 = -2
So the equation is in the form;
y = -2x + b
To get b, we substitute any of the two points
6 = -2(-2) + b
6 = 4 + b
b = 6-4 = 2
The equation of the line is thus;
y = -2x + 2
Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4
Answers
Answer:
#3
Step-by-step explanation:
The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.
Convert the equation below to slope intercept form 2x+y=3
pls help ASAP
Answers
9514 1404 393
Answer:
(b) y = -2x +3
Step-by-step explanation:
Subtract the 2x term to get y by itself on the left.
2x -2x +y = 3 -2x
y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b
PLEASE HELP!!!!This table shows the temperature change in these
places from 1960 to 2014.
Enter the missing values.
Answers
50/52/2
85/87/(2)
-6/-3/(3)
(-13)/12/1
Answer:
answer below
Step-by-step explanation:
Antarctica ( average temperature in 1960 Fahrenheit) = -11
Khartoum, Sudan ( change from 1960 to 2014 Fahrenheit) = 2
Greenland ( change from 1960 to 2014 Fahrenheit) = 3
A piece of fabric shaped as a trapezoid has a
height of 14 inches, and bases that measure
16 inches and 9 inches. What is the area of
the fabric?
Answers
Answer:
Area of the fabric = 175 square inches
Step-by-step explanation:
Area of a trapezoid = (b1 + b2)/2 * h
Where,
b1 = 16 inches
b2 = 9 inches
h = 14 inches
Area of a trapezoid = (b1 + b2)/2 * h
= (16 + 9)/2 * 14
= 25/2 * 14
= 12.5 * 14
= 175 square inches
Area of the fabric = 175 square inches
Pls help me number 8 plsssss
Answers
Answer:
y=mx+b
m=2/3, b=-2
your answer is B. y=2/3x-2
Step-by-step explanation:
Hope this helps :)
Please help me this is my final!!!
Answers
Answer:
A
Step-by-step explanation:
I fricked up last time, it's a
if you need me to explain then ask
Answer: hello
your answer is A.) 2700
Step-by-step explanation:
I hope it helps
have a nice day
Find the missing side of the right triangle.
Answers
GIVING BRAINLIEST! What is the slope of the negative graph?
Answers
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!
n is less than or equal to 13
Answers
Answer:
n ≤ 13
Step-by-step explanation:
≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.
Answer:
Let x be the number. If x is no less than 13, the x can be greater than 13 or equal to 13. Combine these two conditions and get x >13.
1). There are 25 students in grade 7. 15 are boys and others are girls. A
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|
Answers
Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25
Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25
Hiiiiiiiiiiiiiiiiiiii take your best guess
ANSWER QUICK!!
Which of the following is an example of the ASCEND?
A. a bird landing on the ground
B. a hiker climbing a mountain
C. a car traveling through a tunnel
D. a submarine lowering below the surface
Answers
Answer:
answer is B
Step-by-step explanation:
he goes up
Ascend means to go upward and when the hiker climbs a mountain he is climbing upwards
An architect's model for a building is 1.4 m long and 0.8 m wide. The actual building is 240 m wide. What is the length of the building
Answers
Answer:
214.285714286 m
Step-by-step explanation:
240/1.4
240/1.4/0.8
Answer:
Step-by-step explanation: I think its 298.25 i'm not sure wait for other people to give you answers
Use kite WXYZ to find m<YZQ
Answers
Hope this helps
find the measures of 1 and 2
Answers
Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation:
If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14, and round your answer to the nearest hundredth
Answers
Answer:
86in²
Step-by-step explanation:
Find the complete question attached
Area of the circle = πr²
Area of the square = L²
Length of the side of the square
r is the radius of the circle
r = L/2 = 20/2 =10in
Given
Length of the side of the circle = 20in
Area of the square = 20²
Area of the square = 400in²
Area of the circle =π(10)²
Area of the circle = 3.14(100)
Area of the circle= 314in²
Amount of plywood left over = 400in²-314in² = 86in²
Joshua unfolded a cardboard box. The figure of the unfolded box is shown below:
Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point)
Question 14 options:
1)
6 × 3 × 3
2)
3 × 6 × 6
3)
9 × 6 × 6
4)
6 × 9 × 9
Answers
Answer:
1) 6 * 3 * 3
Step-by-step explanation:
Assuming the box is a cube, the surface area would be 6 times one side's area (since in a cube each side is a square) or A=6s^2 where s is a side length of the cube. This means that the surface area is 6*3*3=6*9=54 in^2
this is just areas ykyk
Answers
Answer: 108 sq units
Step-by-step explanation:
Multiply
$17divided by 20% rounded to the nearest dollar
Answers
Answer:
$13.60??????
Step-by-step explanation:
$17 divided by 20% = $85 rounded by the nearest dollar is 90 ??????
I GOT THE POWER IF GOD AND ANIME ON MY SIDE
i dont know for sure if the answer is right sorry
math is not on my side
what is this pls and i will give you a brainliest
Answers
Answer:
the picture is blurry repost it