Answers
Answer:
BC = x = 8.12
AB = 15.33
Step-by-step explanation:
The missing sides of the right triangle is AB and BC;
Step 1: solve for BC using the following formula;
[tex]tan(\theta) = \frac{Opposite \ side}{Adjacent \ side} \\\\tan (32)= \frac{BC}{AC} \\\\tan(32) = \frac{x}{13} \\\\x = 13 \times tan(32) \\\\x = 8.12 \[/tex]
Step 2; solve for AB using a trig ratio or Pythagoras theorem;
[tex]cos (\theta) = \frac{Adjacent \ side }{Hypotenuse \ side} \\\\cos (32) = \frac{AC}{AB} \\\\cos (32) = \frac{13}{AB} \\\\AB = \frac{13}{cos (32)} \\\\AB = 15.33[/tex]
Related Questions
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed
Answers
Answer:
Median income has not changed
Mean income has increased
Step-by-step explanation:
Initial number of houses = 6
Earning per household = $40,000
The initial mean :
$(40,000 * 6) / 6 = $40000
Initial median :
40000, 40000, 40000, 40000, 40000, 40000
= 1/2(n+1)th term,
Median = 40000
A 7th household earns 4,000,000
Mean = ((40000*6) + 4,000,000) / 7 = $605,714
Median = 1/2(n+1)th term
40000, 40000, 40000, 40000, 40000, 40000, 4000000
Median = 4th term = 40000
What is the change in y?
Answers
Answer:
+4
Step-by-step explanation:
Answer:
-4.
Step-by-step explanation:
Change in y is 11 - 15 = -4 ( 7 - 11 = -4)
Con la información que se encuentra a continuación completar la tabla sobre el valor posicional de los números.
- Carmen sabe que la población de la provincia de Tungurahua es de 581389 habitantes y desea conocer el valor posicional de cada número que forma la cantidad de pobladores.
CM DM UM C D U
b) Descompongo el número de pobladores de la provincia de Tungurahua
....................................................................................................................
c) Escribo el número en letras ................................................
Answers
Answer:
ok
Step-by-step explanation:
to hablando Espanol j
Please help math thank you!!!
Answers
Answer:
I believe it's A, since the rotation went to the positive side of y and negative side of x
Step-by-step explanation:
A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.
Answers
9514 1404 393
Answer:
y = -5x -8
Step-by-step explanation:
The y-intercept can be found from ...
b = y -mx
Using the first point, we have ...
b = 2 -(-5)(-2) = -8
Then the slope-intercept equation is ...
y = mx + b . . . . . . . . for slope m and y-intercept b
y = -5x -8
Answer:
the answer is
y=-5×-8
Step-by-step explanation:
:))
there are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them. how many kids own their own instrument?
Answers
Answer:
18 kids
Step-by-step explanation:
Simplify the following expression.
1/2 divided by 1/10
A. 1 whole 1/3
B. 1/20
C. 5
D. 1/5
Answers
Answer:
I got C.)5
Step-by-step explanation:
What is the area of the circle? *.
Answers
So it might be 78.53
Answer:
19.63cm²
Step-by-step explanation:
1/4 x π x 5² = 19.63495cm²
= 19.63cm²
Identify JK. JK and JM are tangent to W.
Answers
Answer:
B. 8
Step-by-step explanation:
Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.
Therefore:
JK = JM
Substitute
5x - 12 = x + 4
Collect like terms
5x - x = 12 + 4
4x = 16
4x/4 = 16/4
x = 4
✔️JK = 5x - 12
Plug in the value of x
JK = 5(4) - 12
JK = 20 - 12
JK = 8
At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours. Classify the hypothesis test as left-tailed, right-tailed, or two-tailed.
a. Two-tailed
b. Right-tailed
c. Left-tailed
Answers
Answer:
Left Tailed
Step-by-step explanation :
Hypothesis Testing is done to test statistical significance of a mathematical assumption. Null Hypothesis is neutral hypothesis, Alternate Hypothesis shows deviation from neutral (null) hypothesis.
Null Hypothesis [H0] : Mean TV time = 21.6 hours
Alternate Hypothesis [H1] : Mean TV time < 21.6 hours
In left tailed test, alternate hypothesis states value less than null hypothesis assumed value. In right tailed test, alternate hypothesis states value greater than null hypothesis assumed value. In two tailed test, alternate hypothesis states value unequal (greater or less than) null hypothesis assumed value.
So, this case has left tailed test.
Use side ratios to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS!!!
Answers
9514 1404 393
Answer:
3) ΔQRS ~ ΔQFG
5) ΔRST ~ ΔGFE
Step-by-step explanation:
3) Shortest to longest, the side ratios are ...
RQ : QS = 6 : 12 = 1 : 2 (reduced)
FQ : QG = 2 : 4 = 1 : 2 (reduced)
ΔQRS ~ ΔQFG
__
5) FE : EG : GF = 18 : 24 : 26 = 9 : 12 : 13 (reduced)
ST : TR : RS = 27 : 36 : 39 = 9 : 12 : 13 (reduced)
ΔRST ~ ΔGFE
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answers
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
17. Before rock climbing, Michelle wants to know how
high she will climb. She places a mirror on the
ground and walks backward until she can see the
top of the cliff in the mirror. She drew a sketch of
the situation. What is the height of the cliff?
Top of cliff
х
mirror
Michelle
5.5 ft
4 ft
16 ft
A. 16.5
B. 17.5
C. 20
D. 22
Answers
Answer:
22ft
Step-by-step explanation:
Find the diagram attached
Since the triangles are mirror images of each other, this shows that they are similar triangles
Taking the ratio of the sides of the triangle and equating it to a constant, we will have;
5.5/4 = x/16
Cross multiply
4 * x =5.5 * 16
4x = 88
x = 88/4
x = 22ft
Hence the required value of x is 22ft
Two numbers have a difference of 12. The smaller of the two numbers is 3 less than double the other. What are the two numbers?
Answers
Answer:
-9,-21
Step-by-step explanation:
let the numbers be x and y and x>y
x-y=12
y=2x-3
x-(2x-3)=12
x-2x+3=12
-x=12-3
-x=9
x=-9
y=2(-9)-3=-18-3=-21
Is quadrilateral UVWX a parallelogram? Why or why not?
A)
There isn't enough information.
B)
Yes, because adjacent sides aren't perpendicular.
C)
No, because opposite sides aren't congruent.
D)
Yes, because opposite sides are parallel.
Answers
Answer:
D) Yes, because opposite sides are parallel.
Step-by-step explanation:
Please help
Hassan jarred 12 liters of jam after 6 days. How many days does Hassan need to
spend making jam if he wants to jar 14 liters of jam in all? Assume the relationship
is directly proportional.
Answers
Answer: 7 days
Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days
Lines that appear to be tangent are tangent. If O is the center of the circle, what is the value of x?
A. 240°
B. 60°
C. 140°
D. 120°
Answers
Answer:
a 240
Step-by-step explanation:
3 toys cost x kobo. How many toys can be bought with #3.00?
Answers
Answer:
ok so you say I don't know for 10000000000 year's the end. :)
If f(1)=1, f(2)=4 and f(n)=3f(n-1)-f(n-2) then find the value of f(4).
Answers
Answer:
29
Step-by-step explanation:
f(3)=3f(2)-f(1)=3x4-1=11
f(4)=3f(3)-f(2)=3x11-4=29
Using the data points below, what is the equation of the linear function that can be used to
model the situation: (1 week, 4 miles), ( 8 weeks, 11 miles)
A.y=x-3
B.y=x+3
C.y=2x+3
D.y=2x-3
Answers
Answer:
B
Step-by-step explanation:
points (1,4) and (8,11) cross through y=x+3
what instrument would you use to measure the following:speed
Answers
Answer:
speedometre
Step-by-step explanation:
it's used for mostly by police officer s
Answer:
Speedometer
Step-by-step explanation:
Mainly used to determine the speed of a vehicle
please help
-i think it’s equivalent but i’m not really sure
-will reward brainliest
Answers
Answer:
They're literally right on top of each other, u got this
Step-by-step explanation:
they are equivalent
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answers
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
Which expression is not equal to 30
Answers
Answer:
(2 * 60 / 30) * (24 + 2) is not equal to 30
Step-by-step explanation:
1. (9 * 10) / (4 + 1 ) + 12 = 30
2. 2 + (30 - 8 / 4) = 30
3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]
4. (120 / 20) * (2 + 3) = 30
Therefore, the third expression is not equal to 30.
Thenks and mark me brainliest :)
How many solutions does the following equation have? -2(-4x + 7) = -2 + 4x
Answers
Answer: Only 1
Step-by-step explanation: Isolate the variable. The solution is x=3.
Rashard is a running back on his football team. He rushed for 418 yards in
the first five games of the season. At this rate, how many yards would he
rush for in 16 games? *
Answers
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
Help
Answers
Answer:
A4
Step-by-step explanation:
Plz help me well mark brainliest if correct!!...
Answers
Answer:C
Step-by-step explanation:
Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A
Hope this helps
give the other person brainiest please
Answers
Answer:
what??????????????????????
Step-by-step explanation:
Answer:
am pro am big brain two
:D
Step-by-step explanation:
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Find the measure of angle 3
Answers
Answer:
120
Step-by-step explanation: