Answers
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
Related Questions
What is the standard deviation of this data set?
12, 14, 9, 11, 10, 15, 16, 12, 7, 14
Answers
Answer:
The standard deviation is 2.6832815729997
Step-by-step explanation:
SD^2=(12-12)^2+...+(14-12)^2/10
SD^2=72/10
SD^2=7.2
SD=squeare root of 7.2
SD=2.6832815729997
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answers
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)Please help at answer least one question please number it!!
Answers
I think so
Answer:
1. 88
2. -17
3. -10
4. -16
5. -14
6. 44
7. -76
8. 18
Step-by-step explanation:
Hope this helps :D
Determine whether the relation is a function. Explain. {(2,5),(4,−2),(3,3),(5,4),(−2,5)} *
No; the elements –2, 3, 4, and 5 are in both the domain and the range.
Yes; for each element of the range, there is only one element of the domain.
No; the element 5 occurs twice in the range.
Yes; for each element of the domain, there is only one element of the range.
Answers
Answer:
Yes; for each element of the domain, there is only one element of the range.
Step-by-step explanation:
A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).
In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.
The correct answer is given by:
Yes; for each element of the domain, there is only one element of the range.
HELP! Whoever gets it right gets brainliest!!
Answers
What percent of 140 is equal to 7% of 500
Answers
Answer:
49%
Step-by-step explanation:
7 percent of 500=35%
There are 2 glasses of orange juice , glass a has squash mixed together with water in the ratio 1:3 and glass b had squash mixed together in the ratio of 1:5 I mix together an equal amount of juice from glass a and b . What will be the new ratio of squash to water
Answers
Answer:
2:6
Step-by-step explanation:
there are 2 glasses of orange juice
glass a has a ratio of 1:3
glass b has a ratio of 1:5
mix the same amount from glass a and b
and you should get the ration 2:6
20. When subtracting u- v, I must rewrite the pair as
a. ut -V
b. -U + V
C. u + v
d. It doesn't matter; I will get the same vector
Answers
Answer:
d
Step-by-step explanation:
you just get the same anwser
help me pls pls pls pls
Answers
Answer:
-4.2
Step-by-step explanation:
subtract
4.2
Explanation:
Subtract, hope that helps
A rectangle has an area of 82 ft2. What is
the length if the width is 10 ft?
Answers
Answer:
187
Step-by-step explanation:
Give the ratio for sine (e) in decimal form to 4 digits.
13
11
5
Answers
.0147
I am a jedi master
which triangles are congruent in the figure
Answers
Answer:
Step-by-step explanation:
The two triangles that are congruent are ABE and CBD by SSS.
a) In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race
Answers
Answer:
58.4 seconds
Step-by-step explanation:
Find the average of all the seconds by dividing the sum of the seconds by 4
Answer:
233.53 s
The sum of best times for the legs is ...
56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds
Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.
BC -
Round your answer to the nearest hundredth.
B
?
35
A
с
2.
Answers
Answer:
BC ≈ 1.40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 35°
Opposite Leg BC = x
Adjacent Leg AC = 2
Step 2: Solve for x
Substitute [Tangent]: tan35° = x/2Isolate x: 2tan35° = xRewrite: x = 2tan35°Evaluate: x = 1.40042Round: x ≈ 1.40Tangent (Angle) = Opposite side / adjacent side
Tangent(35) = BC/2
Multiply both sides by 2:
BC = 2 x Tangent(35)
BC = 1.40042
Rounded to nearest hundredth: BC = 1.40
The altitude of a helicopter increases 1000 feet every 4 minutes .what is the unit rate change (feet per minute) of the altitude.(there’s no picture)
Answers
Answer:
250
Step-by-step explanation:
divide 1000 by 4 and you will get the unit rate
what is (-6,-2)×1/2 ?
Answers
Answer:
the answer is (-4 )
Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?
Answers
Answer:
the answer is $45.56!
Step-by-step explanation:
you just have to add all of there amounts to find how much money they have
The temperature was -12 degrees
Celsius and rose to 2 degrees Celsius.
What was the change in temperature?
Hurry
Answers
Answer:
+14 degrees Celsius
Step-by-step explanation:
you have to find the difference from -12 to 2 degree Celsius
Explain what method is used to solve problems involving scale drawings.
A. Use a proportion
B. Make an educated guess
C. Get a ruler or tape measure and measure the distance
D. Make a drawing on paper
Answers
What is the equation of the line in slope-intercept form?
O Y=2x-8
O y = 2x+8
O y=8x-2
O y = 8x+2
Answers
Step-by-step explanation:
since b = 8, it has to be
y = 2x + 8
that was the whole point of the exercise, as the general slope-intercept form is
y = mx + b
you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answers
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, [tex]Y=\text{Profit}-\$2[/tex]
[tex]Y=X-\$2[/tex]
So the mean will be reduced by 2.
[tex]\mu_Y=\mu_X-\$2[/tex]
[tex]\mu_Y =\$ 8.56 - \$2[/tex]
[tex]\mu_Y =\$6.56[/tex]
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.
Help Please! Question on picture.
Answers
Answer:
A) 1/2x-6=-2x-1
B) x=2
Step-by-step explanation:
question A is asking to set up a system of equations
f(x)=g(x) is the original expression
substitute the equations into this to get 1/2x-6= -2x-1
for b, when you solve this equation you get x=2
sorry for the formatting I'm new here
Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an equivalent fraction with a rational denominator?
Answers
Answer:
(√17 + √2)/(√17 + √2)Step-by-step explanation:
You need to determine the conjugate of the denominator.
√17 - √2 has conjugate of √17 + √2, when multiplied the product is going to be a rational number:
(√17 - √2)/(√17 + √2) = 17 - 2 = 15Therefore correct choice is B or second from the top:
(√17 + √2)/(√17 + √2)Answer:
B
Step-by-step explanation:
Because trust is a good thing in this world
Can someone help me with this i will give brainliest please!
Answers
Answer:
(-1, -3)Step-by-step explanation:
Given system:
4x - 2y = 22x + y = - 51) Solving the second equation for y:
2x + y = - 5 ⇒y = -5 - 2x2) Substituting y into the first equation:
4x - 2y = 2 ⇒4x - 2( -5 - 2x) = 2Correct option is a)3) Solving for x:
4x - 2( -5 - 2x) = 24x + 10 + 4x = 28x = 2 - 108x = -8x = -14) Solving for y:
y = -5 - 2xy = -5 - 2(-1) = -5 + 2 = -3y = -35) Ordered pair is:
(x, y) = (-1, -3)Answer:
Step-by-step explanation:
what is the domain of the function on the graph?
Answers
Answer:
c
Step-by-step explanation: because
Here's a graph of a linear function. Write the equation that describes that function.
Answers
Answer:
2/3x + 1
Step-by-step explanation:
The y-intercept is 1. you can see that when x increases three, y increases 2.
A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answers
Answer:
B
Step-by-step explanation:
help me please!!!!!!
Answers
==========================================================
Explanation:
Recall that sine is the ratio of opposite over hypotenuse.
For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.
So,
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 24/40
sin(C) = (8*3)/(8*5)
sin(C) = 3/5
If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.
Answer:
Step-by-step explanation:
Solution
Here,
H=40
P=32
B=24
Now,
sinC=p/h
=32/40
=4/5
Where, 4 is perpendicular and 5 is hypotenuse.
Hope it helped you.
Plz mark me brainliest.
Find the measures of the numbered angles of the parallelogram.
Answers
Answer:
1=40
2=140
3=40
Step-by-step explanation:
We know on side
140 and side 2 are equal
1 and 3 are equal
So since 140 and 2 are equal
140*2=280
360 degrees total in any 4 sided shape
360-280=80
80/2=40
The artist realizes she has 49 ounces left . How many ounces of blue does she need to add
2 ounces of blue paint to every 7 ounces of yellow
Answers
Answer:
hwope this helps ＼(=^‥^)/’`
Step-by-step explanation: