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
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
what is this pls and i will give you a brainliest
Answers
Answer:
the picture is blurry repost it
a gear turns 9 times in 1.5 minutes. in how many minutes will it turn 240 times
Answers
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
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.
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
Use kite WXYZ to find m<YZQ
Answers
Hope this helps
$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
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
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
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
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
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 :)
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.
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
find the measures of 1 and 2
Answers
Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation:
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
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
WILL AMRK BRAINLIEST IF GOTEN CORRECT
Answers
Answer: if im not mistaken its D
Step-by-step explanation:
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
this is just areas ykyk
Answers
Answer: 108 sq units
Step-by-step explanation:
Multiply
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
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!
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
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 surface area??
Answers
Answer:
120+96+rhom do the rest
Step-by-step explanation:
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
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
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.