Answers
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
Related Questions
Select all the expressions that represent the area of the large, outer rectangle in figure A.
Please help quickly.
Answers
Answer:
Below three are the options
Step-by-step explanation:
6(3+2)
6*5
6.3+6.2
Answer:
6(3 + 2), 6 * 5, and 6 * 3 + 6 * 2 are all expressions that represent the area of the large outer rectangle in figure A.
A savings account increases from $150 to $159. What is the percent increase of the savings account?
Answers
Answer:
6%
Step-by-step explanation:
it increased by 9/150 = 0.06 = 6%
In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see but the subject cannot contain a star, a circle, a wave, a triangle or a square. As the experimenter looks at each card in turn, the subject names the shape on the card. A subject who is just guessing has a one in four chance of guessing correctly on each card.
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
Answers
Answer:
a) [tex]n = 20[/tex] and [tex]p = 0.25[/tex]
b) The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
c) 0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
20 cards mean that [tex]n = 20[/tex]
A subject who is just guessing has a one in four chance of guessing correctly on each card, which means that [tex]p = \frac{1}{4} = 0.25[/tex]
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
Expected value, so
[tex]E(X) = np = 20*0.25 = 5[/tex]
The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{20,5}.(0.25)^{5}.(0.75)^{15} = 0.2023[/tex]
0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
Whats the Quotient for 95÷5
Answers
Answer:
12
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
I hope this helps you!
Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:
Answers
Reduce the fraction
Move terms
Collect like terms and calculate
Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?
Answers
Answer:
24
Step-by-step explanation:
that is what thinkof ur answer
Answer:
Height=61 feet
Step-by-step explanation:
Height=sin 55 degrees x 75
Height=0.8192 x 75
Height=61.43
Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)
Answers
I hope this helps if it is right!
Answer:
5/8 +8/15m+ 14t
Step-by-step explanation:
Combine your like terms, and you will get this.
9x + 8y = 10
y = -4x + 7
Answers
Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
Please help with this question
Answers
65/5 = 13
The answer is $13 per book
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
pls pls help me pls help me
Answers
Answer:
68m squared or the first option
Step-by-step explanation:
What is the value of y?
y =
Answers
79+37=116
180-116=64
all angles of a triangle adds up to 180
add the two given angles and subtract that from 180 to find the missing angle
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.
Required:
What is the differential equation that models this situation?
Answers
Answer:
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Step-by-step explanation:
Given
Variation: Directly Proportional
Insects = 10 million when Rate = 2 million
i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]
Required
Determine the differential equation for the scenario
The variation can be represented as:
[tex]\frac{dP}{dt} \ \alpha\ P[/tex]
Which means that the rate at which the insects increase with time is directly proportional to the number of insects
Convert to equation
[tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ kP[/tex]
Substitute values for [tex]\frac{dP}{dt}[/tex] and P
[tex]2\ million = k * 10\ million[/tex]
Make k the subject
[tex]k = \frac{2\ million}{10\ million}[/tex]
[tex]k = \frac{2}{10}[/tex]
[tex]k = \frac{1}{5}[/tex]
Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
I need help with this
Answers
Answer:
They multiplied by 100
Step-by-step explanation:
1 x 1.5 = 1.5
10 x 1.5 = 15
100 x 1.5 = 150
What is 12% of 507
OA. 6
OB.
7
O c.
10
OD
12
Answers
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answers
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
How do you use Trigonometric Ratios to solve Real-world problems?
Answers
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
Which situations can be simulated using this spinner? Select three options.
Answers
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answers
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
Second part: 12.8
5364 - 12.8 = 5351.2
BEG is a triangle ABC and DEF are parallel lines workout the size of angle x
Answers
Answer:
Step-by-step explanation:
Here the answer
Answer:
Angle X i belive is a right angle
4. A bicycle tire has a radius of 13 ¼ inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth
Answers
Answer:
It should be 530 inches, so 44 feet.
Step-by-step explanation:
I am not 100% but I did 13.25 times 40.
In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.
Answers
find the values of x and y in the diagram
Answers
Answer:
y=2, x=3
Step-by-step explanation:
We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3
At 12:00 a.m. the temperature was 0° F. By 4:00 a.m., the temperature dropped to five degrees
below zero.
Answers
Answer:
the temperature dropped 5 degrees in four hours
Step-by-step explanation:
PLEASE HELPP! WORTH 20 POINTS
For each situation described for a given linear model, is there a correlation? If
so, is there a causal correlation? Explain.
1. the number of minutes studied for a test and the final test grade
2. the attendance at a baseball game and number of runs the home team scores
in the game
Answers
Answer:
B
Step-by-step explanation:
Because
Negative fourty-eight and fifteenth thousand in decimal form
Answers
Answer:
-48.015
Step-by-step explanation
In Sahara Desert one day it was 130°F. In the Gobi Desert a temperature of -40°F was recorded. What is the difference between these two temperatures?
Answers
Answer: 170 degree difference
Answer:
The difference between two numbers canbbe obtained substracting.
The diffence between 130 °F and -40 °F would be the same as substracting both numebrs (we should put an absolute value as the difference is positive).
130 - (-40) = 130 + 40 = 170 ° F
So the difference is of 179 °F
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answers
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
What is the slope-intercept form of the line that passes through (2,7) and (4, -1)?
y = -4x + 15
y = -4x + 12
y = -4x + 30
y = -4x + 3
Answers
Answer:
y=-4x+15
Step-by-step explanation:
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answers
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
https://brainly.com/question/29739212
#SPJ2
A nutritional consulting company is trying to find what percentage of the population of a town is overweight. The marketing department of the company contacts by telephone 600 people from a list of the town's telephone directory. All 600 people give answers to the survey. Which of the following is the most significant source of bias in this survey?
a. Size of sample.
b. Undercoverage.
c. Voluntary response bias
d. Nonresponse.
e. Response bias.