Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
Solve for x. Round to the nearest tenth of a degree, if necessary.
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 18 > 12 + x. Graph the solution.
Answer:
I have attached a screenshot of your inequality graphed. Credit to Desmos.
Please help me, I’m only five more questions away from being done
Answer:
[tex] {2t}^{3} + {20t}^{2} - 2t + 15[/tex]
Hope this helps!!
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.
suppose you throw a ball straight up from the ground with a velocity of 224 feet per second. as the ball moves up, gravity slows it. eventually, the ball begins to fall back to the ground. the height h of thr ball after t seconds in the air is given by the equation h=-16t^2 + 224t. use the given information to answer.
a. find the height of the ball after four seconds. (type a whole number)
b. how long will it take the ball to reach a height of 768 ft?
c. how long after you throw the ball will it return to the ground? (type w whole number)
a. The height of the ball after four seconds is 640 ft
b. The time the ball reachs a height of 768 ft is 6 s or 8 s.
c. The time the ball reachs the ground after it is thrown is 14 seconds.
Since the height of the ball is a parabola, we need to know the equation parabola is
What is a parabola?A parabola is an equation of the form x(t) = at² + bt + c
a. Height of the ball after four secondsThe height of the ball after four seconds is 640 ft
Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.
So, h(t) = -16t² + 224t.
h(4) = -16(4)² + 224(4)
h(4) = -16(16) + 224(4)
h(4) = -256 + 896
h(4) = 640 ft
The height of the ball after four seconds is 640 ft
b. How long will it take the ball to reach a height of 768 ft?The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
To find this time, we substituie h = 768 into the equation for the height of the ball.
So, h(t) = -16t² + 224t
768 = -16t² + 224t.
16t² - 224t + 768 = 0
t² - 14t + 48 = 0
Using the quadratic formula, we find t
[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]
So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
c. How long after you throw the ball will it return to the ground?The time it takes the ball to reach the ground after it is thrown is 14 seconds.
To find the time it takes the ball to reach the ground, the height, h = 0.
So, h(t) = 0
-16t² + 224t = 0
-16t(t - 14) = 0
t(t - 14) = 0
t = 0 or t - 14 = 0
t = 0 or t = 14 s
So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.
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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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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
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)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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Find the distance between the points L(-7, -6) and M(-2, 6).
Anyone? please help asap i really want to finish this
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Step-by-step explanation:
oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?
if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.
you know, what an equality (ahem, equation) is ?
both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.
an equation is when both sides are in balance. their weight is equal.
an inequality is, when one side is heavier than the other.
and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.
A
twenty less than a number is at least 15
looks mathematically
x - 20 >= 15 (larger or equal = "at least")
B
x - 20 >= 15
x >= 35
so, this is true for
{x € R | x >= 35}
or
{x € R | x = 35 or x > 35}
so, this is true for all real values of x that are at least 35.
Warren's window store made a mosaic for the community center. The mosaic had an 8 x 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole
mosaic?
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
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)
Find the square root of 169
Answer:
13
Step-by-step explanation:
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.
Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?
Using the normal distribution, it is found that 16.43% of adults in the US qualify for stage 1.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The proportion of adults in the US qualify for stage 1 is the p-value of Z when X = 160 subtracted by the p-value of Z when X = 140, hence:
X = 160:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 122}{22}[/tex]
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
X = 140:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{140 - 122}{22}[/tex]
Z = 0.82
Z = 0.82 has a p-value of 0.7939.
0.9582 - 0.7939 = 0.1643.
0.1643 = 16.43% of adults in the US qualify for stage 1.
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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
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.
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
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
Solve with substitution.
-3y = x
-8x + 2y = 26
8n^5 – 4n^2 – 2
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term: 8n⁵
Leading coefficient : 8
Constant: -2
Step-by-step explanation:
Leading term is the term with highest degree.
Here the highest degree is 5. so 8n⁵ is the leading term
Leading coefficient is the coefficient of the leading term.
Constant is the term without any variable.
HELP ME WITH THIS PLEASE!!
Answer:
Option B
Step-by-step explanation:
[tex]A=(5.1)^{2} +4(\frac{(5.1)(5.95)}{2} )=26.01+60.69=86.7cm^{2}[/tex]
Hope this helps
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
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:
Find the slope of the given line. See attached photo
If x = 7 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
Answer:
Step-by-step explanation:
21u²The formula for the area of a parallelogram is base times height
so
x = 7 (base)
y = 5
h = 3 (height)
7 * 3 =
21u²
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