Answers
Step-by-step explanation:
Edit:
a is 18
b is 36
c is 18
d is 18 times sqr root of 3
Answers:
a = 18b = 36c = 18d = 18*sqrt(3)sqrt is shorthand for "square root"
=====================================================
Explanation:
The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.
In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.
--------------
The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.
The longer leg d is equal to sqrt(3) times the short leg, ie,
d = a*sqrt(3)
d = 18*sqrt(3)
You could use the pythagorean theorem to solve for d like so:
a^2 + d^2 = b^2
18^2 + d^2 = 36^2
d^2 = 972
d = sqrt(972)
d = 18*sqrt(3)
I skipped a bunch of steps, but you get the idea.
Related Questions
help please i cant do this LOL
Answers
Answer and Step-by-step explanation:
Answer is in picture.
First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.
Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)
#teamtrees #PAW (Plant And Water)
Question 10 (2 points)
A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
Find the area of the table with and without the drop leaves.
1) With Drop Leaves (Semicircles are attached to table) =
ft. 2
2) Without Drop Leaves (Semicircles are not attached to table)
ft 2
4 ft
|4ft
Answers
Answer:
Area of table with leaf = 28.56 feet²
Area of table without leaf = 16 feet²
Step-by-step explanation:
Given:
Side of square table = 4 feet
Diameter of side leaf = 4 feet
Number of semicircle leaf = 2
Find:
Area of table without leaf
Area of table with leaf
Computation:
Area of square = Side x Side
Area of table without leaf = 4 x 4
Area of table without leaf = 16 feet²
Radius of side leaf = Diameter of side leaf / 2
Radius of side leaf = 4 / 2
Radius of side leaf = 2 feet
Area of table with leaf = Area of table without leaf + 2[πr²/2]
Area of table with leaf = 16+ 2[πr²/2]
Area of table with leaf = 16+ (3.14)(2)²
Area of table with leaf = 16+ (3.14)(4)
Area of table with leaf = 16+ 12.56
Area of table with leaf = 28.56 feet²
What is the value of (5 2– 10) ÷ 5 × 2 3 ?
CORRECT ANSWER PLEASE?!!
Answers
Answer:
210
Step-by-step explanation:
(52-10)
42÷5
8.4×25=210
Answer:
BEODMASS
( 52 - 10 ) ÷ 5 × 23
42÷5 ×23
8.4 x 23
193.2
solve this: - 6 n = 30
Answers
Answer:
-6n=30
so find value of n
n=30÷(-6)
n=-5
so, value of n = -5
Answer:
-6 n = 30
or,n=30÷(-6)
or,n=-5
A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it back, choose another one at random. What is the probability that both marbles she chooses are green? Write your answer as fraction in simplest form.
Answers
Answer:
2/10 = 1/5
Step-by-step explanation:
5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP
Answers
explanation: triangles add up to 180 degrees. in the triangle above, the angles only add up to 74. 180-74=106
ANSWER PLEASE i need help i will mark brainliest
Answers
Answer:
let the two no. be x and y.
their sum
x+y=-11
x=-11-y.....[I]
and difference
x-y=41
x=41+y......[ii]
equating equation I and ii
we get
-11-y=41+y
-11-41=y+y
-52=2y
y=-52/2
y=-26
now
substituting value of y in equation I.
we get
x=-11-(-26)=-11+26=15
The two no. is 15 and -26.
if x=-4 and y=3 what is the value of x-3y^2
a: -13
b: -31
c: -23
d: -85
Answers
Answer:
b -31
Step-by-step explanation:
Step-by-step explanation:
x-3y²4-3×3²4-27-23hope it helps
stay safe healthy and happy..Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?
Answers
Answer:
c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.
Step-by-step explanation:
the anwser
In the following table y is proportional to x.
What is the constant of proportionality?
A. 5/14
B. 5/7
C. 7/5
D.20/7
Answers
Please solve!
l = 48.1 m, w = 51.62 m, h = 3.42 m
Answers
Answer:
Volume? Surface area?
Step-by-step explanation:
Volume=8491.59
Surface area=5647.93
find 11/25 of a liter
Answers
Answer:
0.44l
Step-by-step explanation:
a litre=1l
11/25 of it=11/25×1l
=0.44l
Answer:
A litre=1 l
Or, 1/25×1
=0.44.
Solve for x.
4x - 14
x + 85
x = [?]
Answers
Answer:
x = 33
Step-by-step explanation:
4x - 14 = x + 85
3x = 99
x = 99/3
x = 33
Find the volume of the pyramid. v=
Answers
Answer:
240 mi^3
Step-by-step explanation:
Base area = length x width = 10 x 8 = 80 mi^2
V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3
HELP QUICK ROUND EACH VALUE TO THE NEAREST TENTH
Answers
An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?
Answers
9514 1404 393
Answer:
$1200.00
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . . principal P invested at annual rate r for t years
Using your numbers, we can find P to be ...
P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36
P ≈ $1200.00
what shapes have 2 pairs of parallel sides? Choose all that arw correct.
Answers
Answer:
can we see the options please
Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours
Answers
Answer:
7 hours
Step-by-step explanation:
15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.
Answer: 7 hours
Step-by-step explanation:
She earns 5 dollars per hour because 5x3=15
and then you do 15x2=30
then 3x2=6
then just add 1 to 6
6+1=7
so there's your answer
7 hours
Does anyone know how to
Solve this
Answers
Answer:
53.4 cm^2
Step-by-step explanation:
rhombus's have the same formula as a square (B*H)
8.9*6 = 53.4 cm^2
Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.
Answers
Answer:
f(x)=x^2+4x-21
Step-by-step explanation:
Answer:
f(x) = (x + 7) (x - 3)
Step-by-step explanation:
f(x)=(x+[tex]2)^{2}[/tex]-25
(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2
now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in
(x+2)^2 to add for the answer = -25
Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.
Answers
Answer:
3:00 pm
Step-by-step explanation:
Given
[tex]Rob = 4\ hrs[/tex]
[tex]Joan = 3\ hrs[/tex]
[tex]Start\ Time = 3:00\ am[/tex]
Required
The next time they leave at the same time
To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)
So, we have:
[tex]Rob: 4, 8, 12, 16, 20...[/tex]
[tex]Joan: 3,6,9,12,15,18....[/tex]
The least common multiple in the above is:
[tex]Least = 12hrs[/tex]
This means that they will meet at the terminal after 12 hours
So, their meeting time is:
[tex]Time = 3:00am + 12\ hrs[/tex]
[tex]Time = 3:00\ pm[/tex]
The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?
Answers
Step-by-step explanation:
Area=2(L+W)
A=2(6+3)
A=2(9)
A=18in²
therefore, 7500/18
=416.66in²
S(x)=5x+5
T(x)=_3x +4
The value of t(s(2))
Answers
Answer:
Step-by-step explanation:
This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.
s(2) = 5(2)+ 5 so
s(2) = 15. Now we evaluate the t function at 15:
t(15) = 3(15) + 4 so
t(15) = 49
what is the area of the cylinder rounded to the nearest whole number
Answers
Answer:
the area is 207
Step-by-step explanation:
The equation to solve the area of a cylinder is A=2πrh+2πr^2
The radius is the length from the outside to the center, 6 is the diameter so we could half that to get the radius, 3 and height is 8
A=2*3.14*3*8+2*3.14*3^2
A=6.28*3*8+6.28*9
A=18.84*8+56.52
A=150.72+56.52
A=207.24
207.24 rounded to the nearest whole number is 207 so your area is 207
please help this is overdue and i get my grades tmr
Answers
Answer:
162 sq
Step-by-step explanation:
6 x 9 x 3 = 162
unless im wrong :/
Answer:
The surface area is 198 square centimeters.
Step-by-step explanation:
A = 2 · (wl + hl + hw)
2 · (6 · 9 + 3 · 9 + 3 · 6)
198
solve these equations, show all your work x/2=20
Answers
Answer:
x = 40
Step-by-step explanation:
x/2 = 20
x/2(2) = 20(2)
x = 40
I need the answer fast pls
Answers
Answer:
B
Step-by-step explanation:
It's B because that's the only answer that talks about the highest temperature, which is mentioned in the question
Hope this helps
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answers
Answer:
[tex]\cos{W} = \frac{9}{41}[/tex]
Step-by-step explanation:
Cosine of an angle:
The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.
Length of the largest side:
The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.
WY = 9.
This means that the length of the adjacent side to angle W is 9.
What ratio represents the cosine of ∠W?
Adjacent side has length 9, hypotenuse has length 41. So
[tex]\cos{W} = \frac{9}{41}[/tex]
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
9514 1404 393
Answer:
y = -4x -2
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-10 -10)/(2 -(-3)) = -20/5 = -4
__
The y-intercept is given by ...
b = y1 -m(x1)
b = 10 -(-4)(-3) = 10 -12 = -2
Then the slope-intercept equation is ...
y = mx +b
y = -4x -2
Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answers
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864