Solve the right triangle shown in the figure. Remember, exact lengths can be approximated on a calculator. For
example, v3 1.732
ZA = 30°, AB = 24cm ZC = 90°
a
ZB = 60°, AC = 12cm, BC = 63cm
b. ZB = 60°, AC = 123 cm, BC = 12cm
C. ZB = 60°, AC = 6
6 v 3cm, BC = 12cm
d. ZB= 60°, AC = 12cm, BC =
-
12 V 3cm
Answers
Answer: D
Step-by-step explanation:
see the picture I got it wrong but it shows you the correct one is D
The missing values are
CB = 12 cm, AC = 12√3 and <B = 60.
What is Trigonometry?Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
We have <A = 30, AB = 24 cm, <C = 90
Now, using Trigonometry
sin 30 = CB/ AB
1/2 = a/ 24
a = 12 cm
and, cos 30 = AC/ AB
√3/2 = c/ 24
c = 12√3
and, Using Angle sum property
<A + <B + <C= 180
30 + 90 + <B = 180
<B = 60
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Related Questions
Find the volume of the cylinder
Answers
Answer:
100.5cm2
Step-by-step explanation:
v=pi(r)2(h)
v=3.14(2)2(8)
v=3.14(4)(8)
v=100.48
v=100.5cm2
Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length. Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle. What is the length of chord ML? 20 units 24 units 26 units 30 units
Answers
Answer:
24
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.
Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.
The Length of the Chord ML is; 24 Units
What is the Length of the Chord?From the question, we are told that;
MO, NO and LO are radii.
Now, If MO = 13,then LO = NO = 13
However, if NO = 13 and NP = 8, It means that;
PO = NO - NP
PO = 13 - 8 = 5
With the aid of Pythagoras Theorem, we can find MP:
MP = √(MO² - PO²)
MP = √(13² - 5²)
MP = √(169 - 25)
MP = √(144)
MP = 12 units
Now, P is the midpoint of Segment ML, Thus;
MP = PL
ML = MP + PL
ML = 12 + 12
ML = 24 units
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In the right triangle shown, n=30 and MO=8
How long is BC
Answers
Occupancy rate is defined as rooms sold divided by rooms available. If you
have 632 rooms available and sell 580 of them, what is your occupancy
rate? (Round to the nearest percent.)
a) 92%
b) 95%
c) 98%
d) 100%
Answers
Answer:
a.) 92% is the correct answer.
Step-by-step explanation:
To get the occupancy rate, you will need to divide the number of room sold to the number of rooms available and multiply that number by 100%, which is (580*100%)/632=91.77% ~ 92%
Which statement is correct?
A kilometer is 100 times the length of a centimeter.
A meter is 1,000 times the length of a kilometer.
A centimeter is 100 times the length of a meter.
A meter is 100 times the length of a centimeter.
Answers
Answer:
A meter is 1000 times the length of a kilometer.
PLEASE SUPER PLEASE HELP
Answers
Helppp plzz I been looking it up but it gives me no answers
Answers
Answer:
I think it's the first one.
Step-by-step explanation:
Answer:
Click on the Fill Color drop-down menu
Step-by-step explanation:
First you would click the full color menu, then select a color, then select the cells, then save
Eric has completed 36 deliveries so far this week. He needs to make 60 deliveries for the week. What percentage of his deliveries has Eric completed?
Answers
Answer is 60%
Answer:
60%
Step-by-step explanation:
you do 36 divided by 60 and it tells you the percentage
PLEASE HELP ME!!!!!!
Answers
3x eliminates and 9y
Please help me if you don't mind work out the problem I'll give you brainly
Answers
Answer:
C) Izzy
Step-by-step explanation:
Justin typed 90 words in 2 minute:
work
405/9=45 words a minute
45*2=90
Remmy typed 84 words in 2 minute:
work
420/10=42 words a minute
42*2=84
Izzy typed 98 words in 2 minutes:
work
588/12= 49 words a minute
49*2 = 98
I hope this helps :)
Answer:
C
Step-by-step explanation:
We need to find how many words each of them can type in 2 minutes.
Justin-
Justin can type 135 words in 3 minutes. First, find how many words he can type in 1 minute:
135/3 = 45 words per minute
Then, multiply by 2 to find how many words he can type in 2 minutes:
45 * 2 = 90
90 < 95, so he is eliminated.
Remmy-
Do the same as we did for Justin. Find the number of words she can type in 1 minute:
168/4 = 42
Multiply by 2:
42 * 2 = 84 words per minute
84 < 95, so she is eliminated.
Izzy-
Find the number of words she can type in 1 minute:
147/3 = 49 words per minute
Multiply by 2:
49 * 2 = 98
98 > 95, so she can type a minimum of 95 words every 2 minutes.
The ratio of cheers to hollers was 9 to 8. If there were 96 hollers, how many cheers were there?
Answers
Answer:
108 cheers
Step-by-step explanation:
9:8
x:96
96/8 = 12
12 · 9 = 108
Consider the two solids shown. What is the difference between the number of edges of the two solids? one five six eight
Answers
Answer:
6
Step-by-step explanation:
The second shape is missing a face.
Answer:
six
Step-by-step explanation:
got it right on test
What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answers
Answer:
Remember the formula for the slope which is change in y over change in x
therefore: (7+2)/(6+3)= 1 slope=1
formula for a line is y=mx+b
plug in your slope and one of the given coordinates to find the y-intercept:
y=1x+b
7=1(6)+b
7=6+b
1=b
so the equation for the line would be y=x+1
I need some help with this, can someone help me?
Answers
Answer:
D. Paul can type 3/4 as fast as Jennifer
Step-by-step explanation:
60/80 = 3/4
[tex]( \sqrt{3 - \sqrt{2 {}^{2} } } )[/tex]
please answer step by step
Answers
Answer:
it would be 1
Answer:
1
Step-by-step explanation:
sqrt(3-sqrt(2^2))
sqrt(3-2)
sqrt(1)
1
The sum of two numbers is 45. One number is 31 more than the other. Find the numbers.
Answers
Answer:
THE SUM OF TWO NUMBERS =45
ONE OF THE NUMBER = 31
OTHER NUMBER = 45-31 = 14
OTHER NUMBER IS 14
Step-by-step explanation:
HOPE IT HELPS
THANK YOU
3x + 5
=
11
Solve for x:
3x + 5 = 11
DDDDD
Answers
Answer:
x = 2
Step-by-step explanation:
To solve this we first subtract 5 from both sides and get 3x = 6, now we divide both sides by 3 and we get x = 2.
(っ◔◡◔)っ ♥ Hope It Helps ♥
-0 overline 32. is it irrational or rational?
Answers
Answer:
irrational
Step-by-step explanation:
If 10x = 5, what is x?
Answers
If 10x=5, then x would be equal to 1/2.
You'd simply divide 10 by 5 to solve for x.
The value of x is 1/2.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Given:
10x=5
Divide both side by 10
10x/10=5/10
x=5/10
x=1/2
Hence, the value of x is 1/2.
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Hannah buys ⅔ pound of roast beef. She uses ¼ pound to make a sandwich for lunch. How much roast beef does she have left?
Answers
Answer:
5/12
Explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 12
3x4=12
Multiplying numerators and denominators to get the LCD in all fraction denominators
=2×4/3×4 − 1×3/4×3
Then rewriting the equation with the equivalent fractions
=8/12 − 3/12
With like denominators we can operate on just the numerators
=(8−3)/12
=5/12
A ball dropped from a height of 19 meters will bounce back off the ground to 45% of the height of the previous bounce (or the height
from which it is dropped when considering the first bounce).
Answers
Answer:
8.5
Step-by-step explanation:
how I got 8.5 is I did 19 X 45% which is equal to 8.5
△A′B′C′ is the image of △ABC, under a translation.
Answers
Answer:
...
Step-by-step explanation:
I need some help to pass my math class!
(06.01)
What type of association does the graph show between x and y?
A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Group of answer choices
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answers
Answer:
your friend a creep
Step-by-step explanation:
A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe
310 cubic inches
520 cubic inches
3140 cubic inches
4190 cubic inches
Answers
Answer:
i think the answer is 3140 cubic inches
Step-by-step explanation:
At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance?
Negative 32 dollars
Negative 22 dollars
Negative 19 dollars
Negative 11 dollars
Answers
Answer:
-$32.00
Step-by-step explanation:
Students did push-ups for a fitness test. Their goal was 20 push-ups. For each student,
determine what percentage of the goal they achieved.
1. Elena did 16 push-ups.
2. Jada did 42 push-ups.
3. Lin did 13 push-ups.
4. Andre did 21 push-ups.
Answers
Answer:
1- 80%
2- 210%
3- 65%
4- 105%
Step-by-step explanation:
The percentage of the goal achieved by them:
1). 80%
2). 210%
3). 65%
4). 105%
Find the percentage
1). Goal of push-ups = 20
No. of push-ups done by Elena = 16
Percentage = 16/20 × 100
= 80%
2). Goal of push-ups = 20
No. of push-ups done by Jada = 42
Percentage = 42/20 × 100
= 210%
3). Goal of push-ups = 20
No. of push-ups done by Lin = 13
Percentage = 13/20 × 100
= 65%
4). Goal of push-ups = 20
No. of push-ups done by Andre = 21
Percentage = 21/20 × 100
= 105%
Thus, the above answers are correct.
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How to calculate the area of a square
Answers
Answer:
a × a × a ×a
Step-by-step explanation:
Area is measured in "square" units. The area of a figure is the number of squares required to cover it completely, like tiles on a floor.
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared.
square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.
In the data set below, what is the lower quartile
Answers
The diameter of a circle is 12 inches. What is the radius?
d=12 in
Give the exact answer in simplest form.
inches
Answers
Answer:
aaaaaa
Step-by-step explanation:
12*12
Answer:
6 in
Step-by-step explanation:
The radius is half the diameter. If the diameter here is 12 in, then the radius must be 6 in
La media de una población es 683.5g y su desviación estándar 52.1g. Determina la puntuación estándar para el valor 652.1
Answers
Respuesta:
- 0,60
Explicación paso a paso:
Dado que:
Media poblacional, μ = 683,5
Desviación estándar, σ = 52,1
Puntuación, x = 652,1
La puntuación estandarizada, Z = (x - μ) / σ
Puntuación Z = (652,1 - 683,5) / 52,1
Puntuación Z = - 31,4 / 52,1
Zscore = −0.602687
Puntaje estandarizado = - 0.60