Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°
What is AC?
Enter your answer, rounded to the nearest tenth, in the box
Answers
Answer:
AC ≈ 7.6 cm
Step-by-step explanation:
I've attached a drawing of this problem below as a visual aid.
We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.
Remember SOHCAHTOA?
→ soh (Sine = Opposite / Hypotenuse)
→ cah (Cosine = Adjacent / Hypotenuse)
→ toa (Tangent = Opposite / Adjacent)
The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:
→ sin(33°) = [tex]\frac{x}{14}[/tex]
→ x = sin(33°) × 14
→ x ≈ 7.6
The length of AC is 7.6 centimeters.
Related Questions
In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54
Answers
Answer:
y=40
Step-by-step explanation:
x y
9 15
24 y
9/24=15/y
24*15=9y
360=9y
40=y
Therefore, 40 is correct.
If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, in a proportional relationship when x=9 we know that y=15.
If x is directly varies to y we get
x∝y
x=ky
Now, 9=15k
k=9/15
k=3/5
So, equation is x=3/5y
When x=24, we get
24=3/5y
24×5=3y
y=40
Therefore, option (3) is the correct answer.
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what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answers
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
Help ASAP!! In which pair do both decimals represent rational numbers
Answers
Answer:
A is right
Step-by-step explanation:
The pair of both decimals that represent rational numbers is in option [tex](a)[/tex].
What are rational numbers ?A rational number is a number which is expressed as the ratio of two integers, where as the denominator should not be equal to zero [tex](\neq 0)[/tex] and are terminating and no-terminating but repeating decimals.
What are irrational numbers ?Irrational numbers can not be expressed in the form of fractions and are non-terminating and non-recurring.
We have,
[tex]0.752[/tex] and [tex]0.232323.....[/tex]
In the above given numbers [tex]0.752[/tex] is terminating, so it is a rational number.
And,
[tex]0.232323....[/tex] is non-terminating and repeating number, so it is also a rational number.
So, the pair of option [tex](a)[/tex] i.e. [tex]0.752[/tex] and [tex]0.232323.....[/tex] is the pair of rational number.
Hence, we can say that the pair of both decimals that represent rational numbers is in option [tex](a)[/tex].
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La utilidad máxima esperada por la venta de televisores en una tienda departamental para el primer mes se representa por la siguiente ecuación de utilidad U = - x2 + 500x + 100,000; obtenga las unidades y la utilidad máxima esperada por esa venta.
Answers
Explicación paso a paso:
La ganancia máxima esperada ocurre cuando dU / dx = 0
Dada la función U = - x2 + 500x + 100,000
dU / dx = -2x + 500
Dado que dU / dx = 0
Por lo tanto -2x + 500 = 0
Solución para x;
-2x = -500
x = 500/2
x = 250
Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;
U = - (250) ^ 2 + 500 (250) + 100.000
U = -62500 + 125000 + 100000
U = 162,500 '
Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500
abcd is a trapezium, calculate the area of abcd
Answers
which fraction is larger 1/4 or 2/5 find the common denominator
Answers
Answer:
2/5 and 20
Step-by-step explanation:
1/4 = 5/20
2/5 = 8/20
LCD = 20
Solve for z.
11z + 2z = -13
Answers
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
Answer:
z=-1
Step-by-step explanation:
Combine like terms: 11+2 ( 13z )
Divide: -13/13 ( -1 )
Tom had 54 songs on his MP3 player. If he deleted 9 songs, what is the ratio of songs he kept to songs he deleted?
Answers
Answer:
6:1
is the right answer
Step-by-step explanation:
Answer:
45:9 or 49 to 9
Step-by-step explanation:
If you subtract 54-9 because the question is asking what is the the ration from what he KEPT after he deleted 9 so you would subtract so the answer wouls be 45:9 or 49 to 9
Write (4,0) and (0,6) in standard form
Answers
Answer:
4x + 6y = 0
Step-by-step explanation:
Hope that helps pelase gve me brainliest
HELP ASAP!!! I WILL GIVE BRAINLIEST
Answers
Answer:
ok what's the question
Answer:
C
Step-by-step explanation:
hope this helps
ANSWERR HERE :) :0
ples
Answers
Answer:
Reflections, translations, and rotations
Answer:
Rotation, Transitions and Reflections because they don't change the size of the shape.
There are 30 students in Mrs. Martinez's class.
of the class has an Android cell phone.
of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
O 6 students
O 21 students
09 students
O 15 students
Answers
Answer:
9
Step-by-step explanation:
1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9
Factor - 3 out of
-9x + 12
plz help
Answers
Answer:
3x - 4
Step-by-step explanation:
-9x + 12
divide by -3
3x + (-4)
3x - 4
-9 ÷ -3 = 3
12 ÷ -3 = -4
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.
What percent of the class voted for Maria
Answers
Answer:
36%
Step-by-step explanation:
Y'all please help me! Basically just match up the points with an equation.
write an equation of the line that passes through the given points.
1. (-3, 2) (5, -2) 2.(-2, -4) (0,-8) 3.(8, -10) (0,2) 4.(-5, 4) (-3, -4) 5.(5, 0) (-2, 4)
y=-4x-16 y=-3/2x+2 y=-2x-8 y=-1/2x+1/2 y=-4/7x+2 6/7
Answers
2.Y=-2x-8
3.Y=-3/2x+2
4. Y=-4x-16
5.Y=-4/7x+2
2 times the sum of 5 and 3 is.... *
Answers
Answer:
16
Step-by-step explanation:
2 ( 5 + 3 )
= 2 x 5 + 2 x 3 { using distributive property }
= 10 + 6
= 16
or
2 ( 5 + 3 )
2 x 8
= 16
HOPE THIS HELPS
PLZ MARK AS BRAINLIEST!!!!!!
When the arrow is spun, there are four possible numbers the arrow can land on: 1, 2, 3, and 4. The spinners are each spun once. What is the probabilty of an even number on the first spinner and a 3 on the second spinner?
Answers
Answer:
The probability is 1/8
Step-by-step explanation:
There are two spinners here, total result on each of the two is 4
Probability of even number of the first
The even numbers are 2 and 4
Probability of an even number is 2/4 = 1/2
For the second spinner
Probability of having a 3 on the second spinner is 1/4
So the probability of an even number on the first and a 3 on the second spinner will be;
1/2 * 1/4 = 1/8
if an item sells for $44.28 per kilograms, how many cents per ounce does the item cost? Round the answer to the nearest ten-thousandth place
Answers
Answer:
The item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Step-by-step explanation:
The sale price of item is $44.28 per kilograms. We need it to convert into cents per ounce.
We know that 1 dollar per kilogram = 2.83495 cents per ounce
So, 44.28 dollars per kilograms = 2.83495 * 44.28 cents per ounce
= 125.53159 cents per ounce
So, the item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
4. Find the average rate of
change, from 20 to 80 in
the table below.
х
20
40
60
80
100
y
15
35
65
105
215
Answers
Answer:
20 x 80 = 160
15 x 105 = 1,575
I need help with this question -3/8 + 1/6
Answers
Answer:
5/24
Step-by-step explanation:
Step-by-step explanation:
[tex] - \frac{3}{8} + \frac{1}{6} [/tex]
[tex] (- \frac{3}{8} \times \frac{3}{3} ) + ( \frac{1}{6} \times \frac{4}{4} )[/tex]
[tex] - \frac{9}{24} + \frac{4}{24} [/tex]
[tex] - \frac{5}{24} [/tex]
At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-grade students are there in total
Answers
If 20 is 5% multiplying it by 20 would give us 100%, so 20*20=400. There are 400 sixth-grade students in total.
The total number of sixth-grade students at Escobar Middle School is 400 students
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of students in sixth grade = x
5 % of sixth grade students is = 20 students
So ,
We need to calculate the total 100 % students in the sixth-grade
And ,
10 % of sixth-grade students = 2 x 5 % of sixth grade students
= 2 x 20 students
= 40 students
Now ,
100 % of sixth-grade students x = 10 x 10 % of sixth-grade students
= 10 x 40 students
= 400 students
Therefore , there are 400 students
Hence , the total number of sixth-grade students is 400 students
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Heyy guys I need help
Answers
===================================================
Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
--------------------
Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
Answer:
hey
Step-by-step explanation:
1. The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours. Ab Bicycle Rental Costs Time, x (hours) Total Cost, y (dollars) 1 $10 2 $20 3 $30 Part 1: A student drew the following graph to represent this situation. Explain the error in the graph
Answers
1) The error in the graph should be that the time should be on x-axis and cost should be on y axis
Important information: The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours.Information regarding graph:Here the error is that the time should be shown on the x-axis and the cost should be shown on the y-axis.Find out more information about the graph here:
https://brainly.com/question/14375099?referrer=searchResults
Write the equation o
Answers
Answer:
sorry i need the points for school
Step-by-step explanation:
have a great day
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-(-4))/(6-(-2))
m=(0+4)/(6+2)
m=4/8=1/2
y-y1=m(x-x1)
y-(-4)=1/2(x-(-2))
y+4=1/2(x+2)
y=1/2x+2/2-4
y=1/2x+1-4
y=1/2x-3
Describe the transformation that moved the Red-figure to the Blue figure.
A) Rotate 90 degrees clockwise about the origin
B) Rotate 90 degrees counterclockwise about the origin
C) Reflect over the x-axis
D) Translate 2 units up
Answers
Julio says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 15." What is Julio's number ?
Answers
Answer:
(X-18)-3=15
3x-54=15
3x=15+54
3x=69
x=23
So jubo's number is 23
whoever can answer 2+ can get brainliest! i need help pleaseeee
Answers
Answer:
1. The answer is 3 students
2. 3.8, or rounded, 3.5
3. 4 batches of brownies
4. 16/9, 1.80, or 1.78
Step-by-step explanation:
1. If you divide 1/4 by 15, that would equal 3.75. Since you can't have partial of a person XD you should round it back to 3.
2. If you divide 1/5 by 19, that would be 3.8.
3. If you divide 2/3 by 6, that would be 4.
4. 1/9 divided by 16 would be 16/9. As a decimal, it would be 1.777778. Rounded, it would be 1.80, or 1.78.
Hope this helps you!
-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
Answers
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
What is the sum of
of 6 3/5+5 1/7
PLEASE HELP URGENT!!!
Answers
Can someone pretty please help me and answer these questions??!?!!!?
Answers
Answer:
Step-by-step explanation:
you seee i would nut I need points right now I'm sorry