Answers
Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
Related Questions
what is one way to multiply 178x56
Answers
Answer:
Uh.. by just multiplying them.. 178x56= 9968
Step-by-step explanation:
Hav a gud day :P
How to use substitution to solve
Answers
Given:
A. Evaluate [tex]\dfrac{3}{8}x-4.5[/tex] when x=0.04.
B. Evaluate [tex]8.4n-3.2p[/tex] when n=2 and p=4.
To find:
The values of the given expression at the given values.
Solution:
A.
We have,
[tex]\dfrac{3}{8}x-4.5[/tex]
Putting x=0.04 in the above expression, we get
[tex]\dfrac{3}{8}(0.04)-4.5[/tex]
[tex]=0.015-4.5[/tex]
[tex]=-4.485[/tex]
Therefore, the value of the expression at x=0.04 is -4.485.
B.
We have,
[tex]8.4n-3.2p[/tex]
Putting n=2 and p=4 in the above expression, we get
[tex]8.4(2)-3.2(4)[/tex]
[tex]=16.8-12.8[/tex]
[tex]=4[/tex]
Therefore, the value of the expression at n=2 and p=4 is 4.
which set of vaules could be the side lengths of a 30-60-90 triangle
Answers
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
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HELP I NEED HELP IMIDIETLY SORRY I CANT SPELL IM SO CONFUSED
Answers
Answer:
I'm pretty sure you need more information, but I could be wrong
Step-by-step explanation:
Answer:
it's 74
Step-by-step explanation:
A and C are supplementary, that means that they add up to 180.
We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answers
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
HELP ASAP 15 points
What is the domain of the relation {(-4,1),(-2,0), (8,-1)}?
a {-1,1)
b. {-1, 0, 1)
C. {-4,-2,8)
d. (-4,-2,-1, 0, 1, 8}
Answers
The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed
Answers
Answer:
Where is the question?
Step-by-step explanation:
Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:
Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3
Answers
Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)
hope this helps :))
16 is what present of 64
Answers
Answer:16% x 64
Step-by-step explanation:
Answer:10.24
Step-by-step explanation:
What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Answers
Answer:
10..................
(7, 11)
(3, 6)
(5,8)
Is this relation a function?
Answers
Answer:
yes
Step-by-step explanation:
because the inputs are repeated to the same number.
Example of what im talking about: (3,7), (4,9), (3,9) this isn't a function
A recipe needs 1/2 teaspoon of vanilla for every 2 1/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answers
The answer would be 1 teaspoon
Learned this in math
Pls give me BRAINLIEST
A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Total sold
Brand A
28
594
Brand B
15
426
Brand C
27
664
Brand D
25
313
Which brand should the store consider eliminating?
I
Answers
Answer:
28/594 X 100= 4.7 %
15/426 X 100 =3.5%
27/664 X 100=4.1%
25/313 X 100=8%
they should eliminate brand d
easy question. what’s the value of x :)))
Answers
The correct answer
the length of the red line segment is 6
Answers
Answer:
What is the question or image?
Step-by-step explanation:
Need it to solve
The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which of the gollowing equations gives the measure 0 of the angle formed by a height of the cone and a radius
Answers
Answer:
The required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.
We need to given the equation which gives the measure of [tex]\theta[/tex].
Now consider the right angle triangle making an angle [tex]\theta[/tex].
[tex]\tan\theta=\frac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan\theta=\dfrac{7}{5}[/tex]
Hence, the required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
I need help with this
Answers
Answer: option #2
Step-by-step explanation:
each new number equals the previous number x4.
2*4=8
8*4=32
32*4=128
Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $14,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
Answers
Serenity has some pennies and some nickels. She has no less than 18 coins worth at most $0.66 combined. If Serenity has 12 pennies, determine the maximum number of nickels that she could have. If there are no possible solutions, submit an empty answer.
Answers
Answer: 10 nickels
Step-by-step explanation:
A pennie is a cent or $0.01. Serenity has 12 pennies so the amount she has from pennies is:
= 12 * 0.01
= $0.12
The amount she has in nickels at most is therefore:
= 0.66 - 0.12
= $0.54
A nickel is $0.05 so the number of nickels are:
= 0.54/0.05
= 10.8 nickels
= 10 nickels
If she has 10 nickels then the total she would have is:
= (12 * 0.01) + (10 * 0.05)
= $0.62
This fits the parameters
2x+6+7=?
i need help
Answers
Answer: 26
6 plus 7 is 13 so 13 x 2 is 26
Step-by-step explanation:
-10 is 9 less than a number w
Answers
Answer:
-1
Step-by-step explanation:
To figure this answer out, you add 9 to -10, which is -1
Hope this helps
Last year, 11 students tried out for the
debating team. This year 15 students tried
out. What was the percent of increase in the
number of students who tried out?
Answers
help me out with this so confused
Answers
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
Answers
Answer:
I think a) and c is correct.
The scatter plot shows the number of passengers at a major airport over a 15-year period from the year 2000. About how many passengers traveled through this airport in the year 2011?
Answers
Answer:
The answer is 65
Step-by-step explanation:
First, determine the x-value that corresponds to the given year.
Since x corresponds to the number of years since 2000, the year 2009 corresponds to an x-value of 9.
Next, find the y-value on the trend line that corresponds to an x-value of 9. The problem statement has been updated to show lines traced from the x-value of 9 to the trend line and then to the y-value.
Notice that the point (9,70) appears to lie on the trend line.
Therefore, in 2009, approximately 70 million passengers travelled through the airport.
Question is complete.
Answer:
Step-by-step explanation:
gulp
Is (4,3) a solution of the graphed inequality?
Answers
Corey bought 2 1/2 liters of paint for$60
Answers
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answers
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85
in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
Helpppp
Answers
Part A = 46
64+70=134, 180-134=46
Part B
PRD and BPR are same side interior meaning they are supplementary so
BPR=70 and APB is a straight line meaning it = 180 which gives you
64+70+x=180
The measure of angle x is 50 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180
Angle BPR + 115 = 180
Now subtract 115 from both sides;
BPR = 65
Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180
65 + x + 65 = 180
Now add like terms;
130 + x = 180
x = 50
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what is 3856 times 4656 equal
Answers
(4656) (3856) = 17,953,536