Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30
Answers
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
Related Questions
PLEASE HELP
Why are some numbers not multiples of other numbers?
Answers
Answer:
If it's not a multiple of another number then for sure it's a factor
62\100
simplest form
45\100
simplest form
Answers
Answer:
62/100= 31/50
45/100= 9/20
Step-by-step explanation:
Divide 62 and 100 by two to simplify
Divide 45 and 100 by 5 to simplify
Answer:
62/100 = 31/50
45/100 = 9/20
Step-by-step explanation:
62 and 100 have a greatest common factor of 2. We can use this to break the fraction 62/100 apart:
[tex]\dfrac{62}{100}=\dfrac{2\times31}{2\times50}=\dfrac{2}{2}\times\dfrac{31}{50}=\dfrac{31}{50}[/tex]
We can do the same to simplify 45/100. The greatest common factor of 45 and 100 is 5, so following the same process:
[tex]\dfrac{45}{100}=\dfrac{5\times9}{5\times20}=\dfrac{5}{5}\times\dfrac{9}{20}=\dfrac{9}{20}[/tex]
7(x-2)<2x+3 as a improper fraction
Answers
Answer:
-23/3
Step-by-step explanation:
sorry if i am wrong
I need help pls, what’s the answer?
Answers
Answer:
x₂ = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)
m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is
[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(x₂ - 9) = - 60 ( divide both sides by 5 )
x₂ - 9 = - 12 ( add 9 to both sides )
x₂ = - 3
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answers
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
What would be the first step in solving the equation 7/9x + 34 = 174?
Answers
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
❤️❣️❤️what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]
Answers
Find the area of the composite shape below.
х
16 m
16 m
m
32 m
O 256 m2
O 512 m2
O 128 m2
O 640 m2
Answers
Answer:
(16×16) +(32×8)
256+256
512m²
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney read more pages in 1 hour?
Answers
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.
Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]
= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]
= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]
= 55 pages per hour
Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.
Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]
= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.
Use the distributive property to write an expression that is equivalent to 10(10x - 4).
Answers
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4
Find two integers whose sum is -18 and product is 77
Answers
Answer:
-11 and -7
Step-by-step explanation:
Answer:
-11 and -7
Step-by-step explanation:
-11 + (-7) = -18
-11 x -7 = 77
HELP PLEASE 2 Based on past experience, a pencil factory owner believes that 3 out of every 150 pencils will be defective in some way. Using this information. What is the best prediction of the number of defective pencils in a shipment of 3.000 pencils?
Answers
The answer is 60. You’re welcome.
please help me! this is hard
Answers
Answer: 1430 girls
Step-by-step explanation:
In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls
Let's sum up what we learned
1. 12,481 people are at a concert
2. 8906 adults are at this concert
3. 3,575 are children
4. 2145 are boys
5. Which means there are 1430 girls
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
Answers
Answer:
540$
Step-by-step explanation:
A table is sold hire purchase. The sales price consists of deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
Answers
Answer: $666
Step-by-step explanation: 306+ 60(6)= 666
A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.
The goal is 8 feet high. What is the maximum angle of elevation at which the player
can shoot the ball and still score a goal?
Answers
Answer:
14.93°
Step-by-step explanation:
Using trigonometry :
From the diagram attached :
Angle of elevation = x
To obtain the value of x
Tan x = opposite / Adjacent
Tan x = 8 / 30
Tan x = 0.266666
x = tan^-1(0.26666)
x = 14.93°
Therefore, the angle of elevation is 14.93°
The line plot shows the distances, in miles, run by joggers in a park.
How many runners ran at least 3 miles?
Enter your answer in the box.
runners
Answers
Explanation: You count the number of x’s above the number of miles. So in this case it is 3 so you would count all of the x’s above the 3
X2-6x+8=? Answer plzzzzzzzzzzzzzz
Answers
Answer:
The answer to your problem should be 2
Answer:
x^2 - 6x + 8 = x^2 - 2x - 4x + 8 = x(x-2) - 4(x-2) = (x-4) (x-2)
x - 4 = 0 => x = 4
x - 2 = 0 => x = 2
Xyx Motors pays Nick $1,567.46 in dividends every year. If the dividend on one share of Xyx Motors is $4.33, how many shares does Nick own?
a.
383
b.
457
c.
362
d.
276
Answers
Answer:
C. 362
Step-by-step explanation:
If you divide 1567.46 by 4.33, you get 362.
Answer:
c
Step-by-step explanation:
evaluate each function in the table for f(3)
Answers
Answer:
Function 1:
We have 3x + 5, so we plug in 3 for x to get 9 + 5 = [tex]\boxed{14}[/tex]
Function 2:
We have [tex]\frac{1}{2}x^{2} - 1.5[/tex] so we have 4.5 - 1.5 = [tex]\boxed{3}[/tex]
Function 3:
We have [tex]\frac{3}{2x}[/tex] which becomes [tex]\frac{3}{6} = \boxed{\frac{1}{2}}[/tex].
A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was 2/5
win? How many games did they win? How many games did they lose
Answers
Hope this helps!
PLEASE HURRY!!! 30 POINTS, WILL GIVE BRAINLIEST
A spinner with four equal sectors labeled "purple,” "blue,” "orange,” and "green” is spun 45 times. What is the probability that the spinner will land on "purple” in fewer than 20% of the spins?
0.212
0.221
0.460
0.779
Answers
Answer (predicted):
About 0.221
Answer in terms of A and B
Answers
S(0,-2b)
Q(a,2b)
R(a,-2b)
9 less than m squared
Answers
Answer: b = m
(3 + m)(3 - m)
Step-by-step explanation:
Find all angles plssss
Answers
Answer:
99
Step-by-step explanation:
All exterior angles should add up to 360. :)
I need the answer for this. Please help
Y=8/10+22
Answers
y= 8/10 + 22
y=4/5+22
add
y=4/5+22
y=114/5
can someone help me please
Answers
Answer:
c i think soory if wrong
Step-by-step explanation:
Please help, I need the answer:
Amber tried to evaluate an expression step by step
-3 - (-5) + 4
= -3 + 5 + 4
= -3 + 9
= 6
Find Amber’s mistake
Answers
Answer: she didnt get it wrong so its none of the above
Step-by-step explanation:i did it on khan if i got it right mark me brainliest pls
Complete the equation of the line through (-6, 5) and (-3, -3)
Answers
Answer:
y = -8/3x - 11
Step-by-step explanation:
(-6, 5) and (-3, -3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-5)/(-3+6)
m=(-8)/3
m= -8/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -8/3(x + 6)
y - 5 = -8/3x - 16
y = -8/3x - 11
You are a laboratory technician. You are filling spherical flasks with a salt solution and then putting them into boxes. Each flask has a volume of 113.04 cubic inches.
Rounded to the nearest tenth of an inch, what is the radius of one flask?
3.0
3.6
5.2
6.4
6.9
Answers
Answer:
3.0 inches
Step-by-step explanation:
The formula for the volume of a sphere is
V = 4/3 × π × r³
V = 113.04 cubic inches
To find r
r = (3V/4π)⅓
r = (3 × 113.04/4 × π )⅓
r = 3.0 inches
The radius of one flask = 3.0 inches
Option A is correct