Answer:
sin(A) = 16*Cos(A)/63
Step-by-step explanation:
You didn't state what quadrant it was in.
The sine of angle A is 16 / 65
What is the sine of an angle?In a right-angled triangle, the sine of an angle is equal to the ratio of the side opposite to the angle (also called perpendicular) and hypotenuse.
Give that, cot A = 63/16 and that angle A is in Quadrant, (refer to the figure attached)
Since, we know that, cotangent of an angle is ratio of adjacent side to opposite side.
Using Pythagoras theorem, we get,
63²+16² = 4255
√4225 = 65
Therefore, the hypotenuse = 65
sine of an angle = opposite side / hypotenuse
sinA = 16 / 65
Hence, the sine of angle A is 16 / 65
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Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82 ( 1.045 ) x
What is the rate of growth Michael expects each week after launching the website?
A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%
Answer:
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
What is the rate of growth Michael expects each week after launching the website?
The answer will be %0.045
Step-by-step explanation:
The rate of growth Michael expects each week after launching the website is 4.5%.
Given that,
The function is y = 82 (1.045)x.We need to find the rate of growth.Based on the above information, the calculation is as follows:
Since 1.045 is given so this means 4.5% is the growth rate.
Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.
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In a recent year, a hospital had 4310 births. Find the mean number of births per day, then use that result and the Poisson Distribution to find the probability that in a day there are 13 births.
Answer:
11.8 ;
0.1036360
Step-by-step explanation:
Mean births per day, μ = number of births per year / number of days in a year ;
4310 / 365 = 11. 8 births per day
From poisson distribution :
P(x) = (μ^x * e^-μ) ÷ x!
P(x = 13) = (11.8^13 * e^-11.8) ÷ 13!
P(x = 13) = 6.453438E8 / 13!
P(x = 13) = 0.1036360
8.12394 rational or irrational
Answer:
rational
Step-by-step explanation:
if it does not terminate nor become periotic it is irrational other wise it is rational
what is the m<R???????
Answer:
128
Step-by-step explanation:
Hey There!
So the rule about interior angles of a trapezoid
is that the angles that lie on the segments that are not parallel are supplements
so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do
180=15x+8+7x-4
step 1 combine like terms
15+7=22
8-4=4
now we have
180=22x+4
step 2 subtract 4 from each side
180-4=176
now we have
176=22x
step 3 divide each side by 22
176/22=8
so x=8
now we plug in 8 to 15x+8
8x15=120
120+8=128
so we can conclude that angle R = 128
Where is f of x equals the quotient of x plus 5 and the quantity x squared plus 9 times x plus 20 discontinuous?
A. -4
B. 5
C. f(x) is continuous everywhere
D. -5, -4
What makes a rhombus special?
Answer:
A rhombus is a special parallelogram because its sides are always equal.
30 points !! and brainlest !!!!! for best answer
Answer:
look below
Step-by-step explanation:
a. 3.888mm^2
b. 162km^2
c. 0.36cm^2
d.20.25cm^2
e. 9.6m^2
f. 128.832km^2
g. 110.4m^2
h.9.15cm^2
I. 0.084km^2
During a building project, a brick is
dropped from a height of 1,936 ft. If the
equation for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?
[?] seconds
Answer:
11 seconds
Step-by-step explanation:
h(t) = -16t^2 + 1936
When the brick hits the ground h = 0 so:
-16t^2 + 1936 = 0
-16t^2 = -1936
t^2 = -1936/-16
= 121
t = 11 seconds.
The amount of time taken by the brick to hit the ground is 11 seconds.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
It is given that during a building project, a brick is dropped from a height of 1,936 ft. If the equation for height as a function of time is h(t) = -16t² + initial height. where t is time in seconds and h(t) is height in feet.
h(t) = -16t² + 1936
When the brick hits the ground h = 0 then the amount of time taken by the brick will be calculated as below:-
-16t² + 1936 = 0
-16t² = -1936
t² = -1936/-16
t²= 121
t = 11 seconds.
Therefore, the amount of time taken by the brick to hit the ground is 11 seconds.
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HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
The mid point of segment CD is M(-2,1). One endpoint is C (-5,7). What are the coordinates of the other endpoint D?
Answer:
d
Step-by-step explanation:
if its not right have a good day
Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?
PLS HELP it’s due today. Khan academy. One question. I’m struggling.
Answer:
132 square units
Step-by-step explanation:
We are to find the surface area of a square pyramid.
From the diagram above, we are given:
Slant height = 6 units
Base = 8 units
The formula is given as:
= 2bs + b²
= 2 × 8 × 6 + 6²
= 96 + 36
= 132 square units
24 km
10 km
What is the length of the hypotenuse?
Answer:
20
Step-by-step explanation:
the hypotenuse is double the length of the shortest leg
Please helpppppp
-3x-42>3
And show work
Answer:
Step-by-step explanation:
-3x-42 > 3
Add 43 to both sides
-3x>45
Divide both sides by -3
x>-15
Ariana compró cierto número de sacos de azúcar por S/. 675 y luego los vendió por S/. 1 080, ganando S/. 3 por cada saco. ¿Cuántos sacos de azúcar compró?
Responder:
135
Explicación paso a paso:
Número de bolsas compradas = x
Costo total de compra = 675
Costo total de ventas = 1080
Beneficio por bolsa = 3
Por eso :
Beneficio total + costo total de compra = costo total de ventas
3x + 675 = 1080
3x = 1080 - 675
3 veces = 405
x = 405/3
x = 135
Se compraron 135 bolsas
help me pls!!!!!!!!!!
Answer:
R U A girl?
Step-by-step explanation:
Using the fact this is a 3, 4, 5 triangle, find the missing side *
Please help I will give 5 stars!
Answer:
0.8
Step-by-step explanation:
I Dont know 3, 4, 5 so I am going to just use the normal formula
a^2 + b^2 = c^2
0.6^2 + b^2 = 1^2
0.36 + b^2 = 1
b^2 = 0.64
b= 0.8
2 × 10^12 red blood cells have a total mass of 90 grams.
Work out the average mass of 1 red blood cell.
Give your answer in standard form.
Answer:
2×10¹² cells → 90 g
mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g
The width of a picnic table is 3 times its length. If the length is 5/6 yd long, what is the area of the picnic table in square feet?
Step-by-step explanation:
Breadth
=5/6
Length
=15/6
Area of rectangle = l x b
=5/6 x 15/6
=75/6
Answer:
6 1/4 sq ft
Step-by-step explanation:
x = length = 5/6
y = width = 3x
so y = 3(5/6) or 15/6
A = length · width
A = 5/6 · 15.6 or 25/12 which is 6 1/4
On a map of Arizona 2 inches represents 54 miles. The map distance from Yuma to Sentinel is 3 inches. What is the actual distance in miles between the cities?
Answer: 81 miles
Step-by-step explanation:
if 2 inches = 54miles then 1 inch is 27 miles because 54/2=27
so 3 inches means 3(27)=81 miles from yuma to sentinel
Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?
Answer:
2.625
Step-by-step explanation:
Last week Thomas ran 5 1/4 miles
This week he plans to run 1/2 miles as far
Therefore the number of miles he plans to run cann be calculated as follows
= 5 1/4 × 1/2
= 21/4 × 1/2
= 21/8
= 2.625
Hence Thomas plans to run 2.625 miles
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
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Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
Answer:
8(3j-2) and 4(6j−4)
there you go!!
Mr thompson!! Please help me sir!
Answers:
11) D. $3012) Two answers: choice C, choice D13) A. Subtract 100 from each side14) A. n = 9 and n = -5====================================================
Explanation:
11) We set p(120-4p) equal to zero to find that p = 0 is one solution and 120-4p = 0 leads to p = 30. The prices of $0 and $30 both lead to $0 in revenue. It sounds like your teacher wants the larger price value.12) We set each of the two revenue expressions equal to 600.13) Replace the (n-2)^2 with another variable. Let's call that x. So we have the equation 100+x = 149, which is the same as x+100 = 149. We subtract 100 from both sides to undo the +100.14) After following the steps in problem 13, you should have (n-2)^2 = 49, which then becomes n-2 = 7 or n-2 = -7 after applying the square root to both sides. Those two equations solve to n = 9 and n = -5 in that order.The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and a height of 147m.
Using the same material, what would the height be if you gave the base sides of 250m?
height = ___m
Reflect across the y-axis. Fill in the new coordinates below:
Answer:
A(-1,2)
B(-4,4)
C(-3,1)
Step-by-step explanation:
simply reflect across the y-axis. pls give brainliest
The average length of a female dolphin is about 179 inches What is the length in feet and inches pleaseee help me I have been stuck on this questions for about 20 mins !
During an exploratory activity, a student measured the diameter and circumference of several circular objects.
Answer:
what is the question? I need to know