By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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Pa answer po thank you
Answer:
hope it helps you
Step-by-step explanation:
To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.
8. (09.04 LC)
A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (6 points)
O (x + 3)2 + (y - 2)2 = 2
O (x - 3)2 + (y + 2)2 = 4
O (x + 3)2 + (y - 2)2 = 4
O (x - 3)2 + (y + 2)2 = 2
Answer:
(x + 3)² + (y -2)² = 4
Explanation:
Circle Formula: (x -h)² + (y -k)² = r²
"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.
Here given:
h = -3, k = 2, r = 2Insert values:
(x -(-3))² + (y -2)² = 2²
(x + 3)² + (y -2)² = 4
Solve with substitution.
-3y = x
-8x + 2y = 26
For any number n>1, is
|( 1/2 + 3/4i)^n|
A. Greater than one
B. Less than one
C. Equal to one
Based on the calculations, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.
How to solve the equation?First of all, we would simplify the equation by using the lowest common multiple (LCM) of the fractions as follows:
[tex]|(\frac{2\;+\;3i}{4} )^n|[/tex]
By applying exponent rule, we have:
[tex](a.b)^n=a^n \times b^n\\\\|(\frac{(2\;+\;3i)^n}{4^n} )|\\\\|(\frac{(2\;+\;3i)^n}{(2^2)^n} )|[/tex]
By applying exponent power rule, we have:
[tex]|(\frac{(2\;+\;3i)^n}{2^{2n}} )|[/tex]
Assuming n = 2, we have:
[tex]|(\frac{(2\;+\;3i)^2}{2^{2\times 2}} )|\\\\|(\frac{(2\;+\;3i)^2}{2^{4}} )|\\\\|(\frac{-5\;+\;12i}{16} )|[/tex]
Therefore, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.
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A small plane travels at 450 miles in 3 hours. At this rate, how far can it travel in 7 hours?
Answer:
1050 miles
Step-by-step explanation:
velocity=distance/time
Distance=450 miles
Time=3 hours
Velocity=150 miles/hours
if time is 7 and velocity is 150 distance is 7x150=1050 miles
what is the area of the figure 27 1/2yd 17 1/5yd in yd
Answer:
473
Step-by-step explanation:
→ Write the formula
Base × Height
→ Substitute in the numbers
[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]
→ Convert to improper fractions
[tex]\frac{55}{2} *\frac{86}{5}[/tex]
→ Simplify
473
Find the slope of the given line. See attached photo
Let A x B = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6)} then, find A, B, n(A), n(B).
Answer:
Step-by-step explanation:
A={1,2,3}
n(A)=3
B={5,6}
n(B)=2
What is an equation of the line that passes through the points (3,6) and (1,−2)?
Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointThe most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points
Before we calculate, let's label the values of the points.
[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2-6}{1-3}[/tex]
Subtract
m=[tex]\frac{-8}{-2}[/tex]
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
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Sales tax in Reagan County is 7.5% on all purchases. Calculate the sales tax on the following purchase totals (round answers to the nearest cent):
(a) $25.55 (b) $155.75 (c) $256.18
Answer:
(a) $1.92
(b) $11.68
(c) $19.21
Step-by-step explanation:
The tax is the product of the tax rate (7.5%) and the taxed amount.
__
(a)0.075 × $25.55 ≈ $1.92
(b)0.075 × $155.75 ≈ $11.68
(c)0.075 × $256.18 ≈ $19.21
_____
It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.
50 POINTS PLEASE HELP What is the volume of this prism???
Answer:
128
Step-by-step explanation:
multiply length, width, and hight.
[Not including the "triangle roof"] 128 in²
V = L * W * H
V = 8 in * 4 in * 4 in
V = 128 in²
[Including the "triangle roof"] 176in²
V = [tex]\frac{ L * W * H}{2}[/tex]
V = [tex]\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}[/tex]
V = [tex]\frac{96\;in^2}{2}[/tex]
V = 48 in²
-
48 in² + 128 in² = 176in²
In which of the following do you expect the correlation coefficient to be negative?
Please help!!
From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.
What is a negative correlation?This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.
How is this represented in a graph?In a graph, a negative correlation coefficient is related to a negative slope.
This negative slope can be seen in the third graph or graph C.
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Talking Ben or Talking Tom
Answer:
talking tom
Step-by-step explanation:
i like this game. i used to play this game
Answer:
DEFINANTLY TALKING TOM HE IS SOOOO MUCH MORE FUN
Step-by-step explanation:
Angelica places an 8-foot ladder against a wall. The ladder is placed so that the angle of elevation is 70°. How far up the wall, in feet, does the ladder reach? Round to the nearest hundredth.
The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.
A right angle triangle is formed.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
The length of the ladder is the hypotenuse side of the triangle formed.
Therefore,
sin 70 = opposite / 8
cross multiply
opposite = 8 sin 70
opposite side = 8 × 0.93969262078
opposite side = 7.51754096629
opposite side = 7.52
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What is the product?
3x³(2x² +4x+1)
O 2x +4Xô + xô
O
6x¹0+12x5+3x5
O 6x² + 12x6 +5
O 3x5+2x² + 4x+1
Answer:
6x⁵+12x⁴+3x³
Step-by-step explanation:
3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)
therefore
3x³(2x² + 4x + 1) =
(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)
*NOTE: for the brackets the multiplication law of indices is applied, i.e:
nª × n^b = n^a+b therefore
x³ × x² = x^3+2 = x⁵
x³ × x = x^3+1 = x⁴
x³ × x⁰ = x^3+0 = x³
*Note the quoeficents multiple each other, i.e:
3 × 2 = 6
3 × 4 = 12
3 × 1 = 3
so:
= 6x⁵ + 12x⁴ + 3x³
Find the distance between the points L(-7, -6) and M(-2, 6).
From the top of a building, 30.15m high, the angle of depression of a point on the ground level 25.88'm from the base is B° find B
Answer:
49.36 degrees to the nearest hundredth.
Step-by-step explanation:
In the right angled triangle formed the adjacent side is 25.88 m and the opposite = 30.15 m.
So tan B = 30.15 / 25.88 = 1.16499
So m < B = 49.36 degrees.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Question 4:
Two equations are shown:
Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:
Answer:
x = 28
y = 32
Brainliest?
A circle has an area of 50.24 in.². Daisy solves
the equation as shown below to find the radius
of the circle. What is the diameter of the circle?
1st Step:
50.24-314rr 2nd Step: 16 = rr
Four times
itself is 16!
3.14
3.14
r = 4
A
B
4 in.
8 in.
16 in.
C
Answer:
8in
Step-by-step explanation:
Using the formulas
[tex]area = 2\pi \: r {}^{2} [/tex]
d= 2r
Solving for d
d= 2r
[tex]d = 2 \sqrt \ \frac{a}{\pi} = 2. \sqrt{ \frac{50.24}{\pi} } = 7.99797[/tex]
Isabel used integers to record her costs and earnings from face painting at a fair. she spent $25 on face-painting supplies. She earned $144 by painting faces.
How does Isabel record her costs and earnings?
Please help me ASAP
Answer:
-25 on painting supplies, +144 painting faces, +119 net gain
Step-by-step explanation:
spent = negative
earned = positive
net gain = earned - spent (sometimes it can be negative is you spend more than you make)
Solve 18 > 12 + x. Graph the solution.
Answer:
I have attached a screenshot of your inequality graphed. Credit to Desmos.
can someone please explain the process to me? this is from a final review i did so just ignore my wrong answer. Hoping to get a explanation so I can do my actual final in about an hour. thank you!
Answer:
The correct answer is supposed to be 3.36
Step-by-step explanation:
Add up all the numbers:
4 + 3.7 + 3.4 + 3 + 2.7 = 16.8
Divide by how many numbers there are:
16.8 ÷ 5 = 3.36
NEED HELP PLEASE!!!!!!!!!!!!
Answer: The exact answer is 3.61 weeks, so the "about" answer is 4 weeks.
Step-by-step explanation:
b = $85 + w (10+8)
b = 85 + w (18)
b = 85 + 18w
b is the total amount need in the bank account, so $150.
$150 = $85 + 18w
$150 - $85 = $85 - $85 + 18w
$65 = 18w
$65 / 18 = 18w / 18
3.611 weeks = w
So, it will take about 4 weeks to get $150 in his bank account.
Hope this helps!
Simplify the expression
b=85+w(10+8)b=85+18wPut b=150
85+18w=15018w=150-8518w=65w=65/18w=3.6w=4 weeks (approx)On a map, 1 inch equals 5 miles. Two cities are 9 inches apart on the map. What is the actual distance between the cities? Question content area bottom Part 1 The actual distance between the cities is entered in your response here miles. Need help fast
Answer:
45 mile
Step-by-step explanation:
One inch is equivalent to 5 miles. Given this comparison in regards to scale, 9 inches would simply be 9 times that. In basic terms, 9 times or inches multiplied by each 5 mile increment would be stated as 9 inches x 5 miles, resulting in a 45 mile distance between the two cities.
Identify the two whole numbers between which the product lies 7x8/10
Hey there!
7 * 8/10
= 7/1 * 8/10
= 7/1 * 8 ÷ 2 / 10 ÷ 2
= 7/1 * 4/5
= 7(4) / 1(5)
= 28/5
≈ 5.6
= 5 3/5
So, therefore the answer should be:
Anywhere BETWEEN 5 & 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
5 and 6
Step-by-step explanation:
The product of the whole number and fraction is ...
7×(8/10) = (7×8)/10 = 56/10 = 5.6
This lies between 5 and 6.
Find the measure of angle BAC.
132°
Answer:
Step-by-step explanation:
Directions
Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C
The actual value is 1/2 the central angle which is given as 132 degrees.
Givens
<BOC = 132 degrees.
<BOC is the central angle.
Solution
<BAC = 1/2 <BOC
<BAC = 1/2 132 degrees
<BAC = 66 degrees.
Answer
<BAC = 66 degrees
help will mark Brainliest
Answer:
C. is the correct answer
Step-by-step explanation:
A. is incorrect because the sequence does not start with 15
B. is incorrect because the pattern increases by 5, not multiplied by 5
C. is correct because all of the even numbers in the pattern do end in 0
D. is incorrect because even numbers don't end in 5's
Hope this helps!
Answer: "Every even-numbered term in the pattern has a 0 in the evens place"
Step-by-step explanation:
We can compare each statement to the pattern and see which ones don't apply.
The first one is not true. We are adding 5, not having a sum of previous numbers.
The second one is not true, it is adding 5. Not 5 times greater.
An even number is a number ending in 0, 2, 4, 6, or 8. This means
that the third option is correct, giving us our answer.
Find the square root of 169
Answer:
13
Step-by-step explanation:
Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only
your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss? Explain your answer.
The break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss is 15 months.
What is the break-even point?The break-even point is the point at which total revenue is equal to the total cost.
Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.
The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,
Monthly insurance premium payable = $600 (assumed to be paid monthly)
Deductible on the insurance policy = $1,000
Minimum coverage = 30/50/10
Coverage for injury or death to one person = $30,000
Coverage for injury or death to two or more people = $50,000
Coverage for damage to property = $10,000
Average accidents every year = 2
Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)
Break-even period = 15($10,000 - $1,000)/$600
This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.
Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.
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Answer:
15 months
Step-by-step explanation:
verified with a teacher