[tex]tan(A)=2sin(A) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(A)}{cos(A)}~~ = ~~2sin(A)\implies sin(A)=2sin(A)cos(A) \\\\\\ sin(A)-2sin(A)cos(A)=0\implies sin(A)[ ~~ 1~~ - ~~2cos(A) ~~ ]=0 \\\\[-0.35em] ~\dotfill\\\\ sin(A)=0\implies A=sin^{-1}(0)\implies A= \begin{cases} 0\\ 180^o\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 1-2cos(A)=0\implies 1=2cos(A)\implies \cfrac{1}{2}=cos(A) \\\\\\ cos^{-1}\left( \cfrac{1}{2} \right)=A\implies A= \begin{cases} 60^o\\ 300^o \end{cases}[/tex]
Explain how to use a graph of the function f(x) to
find f(3).
To find the value of f(3) we need to follow the below steps :
Step 1 : First plot the graph of f(x)
Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)
Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .
Step 4 : Now there exists two cases :
If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x
If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).
If this is wrong than I guess I wasn't smart enough :)
HELPPP FAST PLEASE
The chord BC is a diameter of OO.
C
.
O A. True
O B. False
0
B
Answer:
A. True
Step-by-step explanation:
Given:
O is the center of the Circle
Chord BC is the line segment passing from the center of circle
Chord: It is a line segment whose end points lies on the circle.
Diameter: It is defined as a line segment passing from the center of the circle whose end point lies on the circle.
Hence chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle.
Hence the statement is TRUE
Yes, The chord BC is a diameter of circle C.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To check The chord BC is a diameter of circle C.
Now, WE know that;
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Here, The line segment BC is passing through the center O.
Hence, The chord BC is a diameter of circle C.
Learn more aboput the line segment visit:
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Find H please helpppp
Answer:
4.
Step-by-step explanation:
1) the rule:
h:2=8:h;
2) according to the rule:
h²=16; ⇒ h=4.
What is a black hole?
A. A massive cluster of stars and other matter.
B. A star that has collapsed under its own gravity.
C. The opposite of a star, it is a hole in space that sucks in light and matter.
D. A dense cloud of dark energy; scientists still have not found a real one.
Im pretty good with space so your answer would be C
Find the distance between points 0, 10 and -9, 1
Answer:
9,9
Step-by-step explanation:
0 - -9 = 9
9 is the first number
10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)
9 is also the second number.
Find the surface area of this cube. Be sure to include the correct unit in your answer.
Answer:
486 cm
Step-by-step explanation:
9×9=81
there are 6 faces
81×6=486
Determine the value of x.
x = 9
All of these
None of these
x = 5 1/3
x = 20 1/3
Answer:
Step-by-step explanation:
56 = 6x+2
54 = 6x
54/6 = 9
X = 9
Opposite angles are equal
6x+2=566x=54x=9Option A
Write the expression as a single natural logarithm.
2 ln a – 4 ln y
Answer: [tex]\ln\left(\frac{a^2}{y^4}\right)[/tex]
============================================================
Explanation:
I'll be using these log rules
Blog(A) = log(A^B)log(A) - log(B) = log(A/B)which I'll refer to as "rule 1" and "rule 2" respectively. There are other log rules, but we only need to use these two for this particular question.
Here's how the steps could be laid out:
[tex]2\ln\left(a\right)-4\ln\left(y\right)\\\\\ln\left(a^2\right)-\ln\left(y^4\right) \ \text{ ... use rule 1}\\\\\ln\left(\frac{a^2}{y^4}\right) \ \text{ ... use rule 2}\\\\[/tex]
Side note: The first letter of "ln" is a lowercase L, and not an uppercase i
PLEASE HELO ME!!! PLSSSS
Answer:
Choice A
Step-by-step explanation:
<4 and <5 are alternate interior angles.
Answer:
angle 3 and 6
Step-by-step explanation:
They are on the other sides of eachother and are both in the interior.
A loon is flying at a height of 10 feet above a lake. The loon dives into the water to catch a fish that is at a depth of 6 feet. What is the change in elevation of the loon?
Pls help
The state tax is 8%. Calculate how much you will pay in taxes on the kyrie 5.
How much does the Kyrie 5 cost?
What does the notation P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B occurring, given that event A has occurred B. The probability of event B occurring, divided by the probability of event A occurring C. The probability of event A occurring, given that event B has occurred D. The probability of both event A and event B occurring
Answer:
A. The probability of event B occurring, given that event A has occurred
Step-by-step explanation:
Conditional probability
A probability is conditional if is depends on what has already happened.
The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)
Therefore, P(B | A) means "The probability of event B occurring, given that event A has occurred"
Additional information:
P(A | B) means "A given B", i.e. the probability of event A occurring, given that event B has occurred
P(A ∩ B) means the probability of event A and event B both happening.
12(x - 3) + 18 = 4(3x - 3)
12(x-3) + 18=4(2x-4)
6x +8 = 7x +13
6x + 8 = 2(3x + 4)
6x + 8 = 6x + 13
Please help if you can solve all of these it will be a big help
Answer:
No Solution
x = 1/2
x = -5
x = 1
No Solution
The diagram shows an electric motor. S N Which series of energy transformations occurs in the electric motor? O A. Electrical energy Chemical energy Mechanical energy
Answer:
electrical → mechanical
Step-by-step explanation:
i dont know if thats what answer format you need but i feel like thats right
Which statement is correct regarding the measurements of the parallelogram?
On a coordinate plane, a parallelogram has points (7, 3), (4, negative 4), (negative 5, negative 4), and (negative 2, 3).
The base is 7 and the height is 7, so the area is 7 (7) = 49 square units.
The base is 7 and the height is 3, so the area is 7 (3) = 21 square units.
The base is 9 and the height is 6, so the area is 9 (6) = 54 square units.
The base is 9 and the height is 7, so the area is 9 (7) = 63 square units
The correct statement regarding the measurements of the parallelogram is that the base is 9 and the height is 7, so the area is 9 (7) = 63 square units.
What is a Parallelogram?This is defined as a quadrilateral which has two pairs of parallel sides present and the area is base × height.
The base is 9 and the height is 7, when the points are plotted which results in the area being 63 square units hence option D was chosen.
Read more about Parallelogram here https://brainly.com/question/970600
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A veterinary clinic saw 45 pets on Monday. The shaded squares in the grid below represent the 60% of pets
seen on Monday that were dogs.
How many dogs were seen at the clinic on Monday?
25
15
27
18
A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 30 times. This list shows the results.
HTT, HHH, HTH, THT, THH, THH,THT, THH, THT, HHT, TTH, HHT,HHH, TTT, HHT, THH, HTT, HHH,HHH, THT, HTT, HHT, HTH, THH,THH, HTT, THH, TTH, HTT, TTT
According to this data, what is the experimental probability of getting exactly 2 tails out of 3 coin tosses? Select from the drop-down menu to correctly complete the statement. The experimental probability of getting exactly 2 tails is Choose... %.
30%
35%
40%
45%
Answer:
I believe it would be 30%
Step-by-step explanation:
If we look through the list of coin flips for each time there is a group (of 3) that has 2 tails and 1 heads, we would find that there are 10 groups.
So to solve this we can simply divide 10 (the amount of groups with 2 tails) by 30 (the total amount of groups) which gives us 33.333%. Now this isn't really an exact answer, but it is closer to 30% than it is to 35% so it would probably be safe to say that we could round down.
Hope this helps! -SC
The diameter of a circle is 2 inches. What is the circle's area?
d=2 in
Answer: 1pi or 3.14
Step-by-step explanation:
The equation for finding the area of a circle is [tex]\pi r^2[/tex]since the radius is half of the diameter [tex]r=1[/tex]. Since r squared is also 1, the next thing you need to do is plug one into the equation, which, when solved, leaves you 1pi or 3.14.
I hope this helps!
Step-by-step explanation:
this is how you solve it :)
The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
can someone really help me with this and more questions like this
Answer: I think its D
Step-by-step explanation:
Answer:
Maximum value = 7, minimum value = 8
Step-by-step explanation:
Your answer is right !
Ten sixth grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.
a. Which number of minutes—9 or 4.2–is a typical amount of time for the ten sixth grade students to travel to school? Explain your reasoning.
b. Based on the mean and MAD, Jada believes that travel times between 5 and 13 minutes are common for this group. Do you agree? Explain your reasoning.
c. A different group of ten sixth grader students also recorded their travel times to school. Their mean travel time was also 9 minutes, but the MAD was about 7 minutes. What could the dot plot of this second data set be? Describe or draw how it might look.
Answer:
A is 9 and B is yes
Step-by-step explanation:
What is the volume of this right prism?
1200 in3
1800 in3
2040 in3
3600 in3
Answer:
2nd option
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h is its height )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 30, h = 8 , then
A = [tex]\frac{1}{2}[/tex] × 30 × 8 = 15 × 8 = 120 in²
with h = 15 , then
V = 120 × 15 = 1800 in³
Question 6 of 10
How many solutions are there to the equation below?
&x=7
O A. 49
O B. 2
O c. 1
O D.O
1. How many cubic feet are in 3 cubic yards?
The delivery truck drives at a constant speed. What is the truck's speed, in miles per hour, on the delivery route? Round the answer to the nearest whole number. Enter the answer in the box.
Answer:
Choose answer below
Step-by-step explanation:
The truck does 3 sides of the square 3 x 24 = 72
and the truck does one entire diagonal of the square
with side lengths 24
diagonal = sqrt (24^2 + 24^2 ) = 33.94 miles
total miles 33.94 + 72 = 105.94 miles in 4.5 hours
105.94 / 4.5 = 23.54 m/hr for the entire trip
The mph for the actual driving time (2.5 hours )
105.94 / 2.5 = 42. 38 m/hr for driving time only
Which statements about the value of the digits in the number 6,666,666 are true?
Select each correct answer.
The digit in the thousands place is 16 the value of the digit in the ten thousands place.
The digit in the hundred thousands place is 110 the value of the digit in the millions place.
The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
The digit in the hundreds place is 60 times the value of the digit in the tens place.
Answer:
B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.
C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
Hope this helps !
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
165
Step-by-step explanation:
If the ratio is (m->w) 4:7 and there are 105 women, there are 60 men. Add these together to get the total: 165.
2 Find the mode and median from the following numbers 5,8, 6, 9, 7, 4, 10, 2, 5, 9, 0, 1, 6,9
Answer:
MEAN=81/14 MODE=6
Step-by-step explanation:
MEAN:
(5+8+6+9+7+4+10+2+5+9+0+1+6+9)/14=81/14
MODE: 6=middle number
What is the value of 0.6 - (0.7)(1.4)
Answer:
-0.38
Step-by-step explanation:
0.6-(0.7)(1.4)
0.6-0.98
-0.38
-3 ( 10 - 5v) - 10v
Explain
Answer:
- 30 + 5v
Step-by-step explanation:
- 3(10 - 5v) - 10v ( multiply each term in the parenthesis by - 3 )
= - 30 + 15v - 10v ← collect like terms
= - 30 + 5v
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 3(10 - 5v) - 10v[/tex]
[tex]\qquad \sf \dashrightarrow \: - 30 + 15v - 10v[/tex]
[tex]\qquad \sf \dashrightarrow \:5v - 30[/tex]
so, the equivalent expression is 5v - 30
