Find c.
Round to the nearest tenth.
20 ft
50°
15 ſt
c= [.? ]ft
Law of Cosines: c2 = 22 + b2 - 2ab cos C
Answer:
: c2 = a2 + b2 - 2ab cos C
c²=20²+15²-2×15×20×cos50
c²=400+225-600×0.64
c²=241
c=√241=15.5ft
The value of c for the given triangle can be obtained as 239.3 ft.
What is cosine law?The cosine law for a triangle is derived from the parallelogram law of addition for two vectors.
It is given as for a triangle having sides a, b and c, the cos of the angle between sides a and b is given by,
cos(x) = (a^(2) + b^(2) - c^(2)) / (2 × a × b).
For the given diagram of a triangle, law of cosines can be applied as,
c² = a² + b² - 2abCos C
Substitute a = 15, b = 20 and ∠C = 50° to obtain,
c² = 15² + 20² - 2 × 15 × 20Cos C
c² = 625 - 600Cos(50°)
⇒ c = 239.3
Hence, the length of the other side of the triangle can be obtained as 239.3 ft.
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1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?
A. sample probability
B. theoretical probability
C. experimental probability
D. outcome probability
Answer:
C.
Step-by-step explanation:
Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)
what is the radius of a circle with an area of 212 in squared. please please simplify for me....
Answer:
8.22in
Step-by-step explanation:
Area of circle = πr²
r is the radius
Given
Area = 212in²
Substitute
212 = πr²
r² = 212/3.14
r² = 67.52
r = √67.52
r = 8.22in
hence the radius of the circle is 8.22in
what is 1 17/8 + 1 1/4 =
Answer:
39/8
Step-by-step explanation:
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
Sonu's mother is 12 years more than twice Sonu's age. After 8 years,she will be 20 years less than three times Sonu's age. Find Sonu's age and mother's age.
Answer
sonu's age=16years
mothers age=44years
Step-by-step explanation:
sonu's age be x
then, mothers age will become 2x+12
after 8years,
sonu's age=x+8
mother's=2x+12+8
a/q
3(x+8)-20=2x+12+8
3x+24-20=2x+20
3x+4=2x+20
3x-2x=20-4
x=16
sonu's age=16years
mothers age=44years
A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
someone please help??
9514 1404 393
Answer:
Isabel
Step-by-step explanation:
Gavin saves 28% (given).
Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.
Isabel saves 3/(3+7)·100% = 30%.
Isabel saves the largest fraction of her salary each month.
A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years
Answer:
The area after 6 years is [tex]1519.49km^2[/tex]
Step-by-step explanation:
Given
[tex]a = 2100[/tex] --- Initial Value
[tex]r = 5.25\%[/tex] --- Rate
Required
Determine the area after 6 years
Because the area reduces,, the following formula will be used to solve the question.
[tex]y = a*(1 - r)^t[/tex]
Here
[tex]t = 6[/tex]
So, we have:
[tex]y = 2100*(1 - 5.25\%)^6[/tex]
Convert percentage to decimal
[tex]y = 2100*(1 - 0.0525)^6[/tex]
[tex]y = 2100*(0.9475)^6[/tex]
[tex]y = 1519.47866516[/tex]
[tex]y = 1519.49[/tex] -- approximated
The area after 6 years is [tex]1519.49km^2[/tex]
So far this month you have achieved $100.90 in sales which is 50% of your monthly goal l. With 5 more workdays this month, how much do you need to sell each day to reach your goal?
If gas costs $1.95 per gallon, how many whole gallons of gas could you buy with $36.00? (Make sure to answer with a whole number.)
If you sleep 30% of the day, how many hours do you sleep?
Answer:
7.2 hours.
Step-by-step explanation:
Search up "30% of 24"
Answer:
You sleep 7.2 hours.
Step-by-step explanation:
nsnsnsla
Christy works at the grocery store and has 242 apples to fit into 15 boxes. She fills all
of the boxes with exactly the same number of apples and sends the leftover apples to
the homeless shelter. How many apples fit into each box, and how many are going to
the homeless shelter?
16 apples go into each box, and 2 go to the homeless shelter.
O 15 apples go into each box, and 2 go to the homeless shelter,
15 apples go into each box, and 13 go to the homeless shelter.
16 apples go into each box, and 13 go to the homeless shelter.
Answer:
16 apples and 2 goes to the homeless shelter.
Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts
Answer:
3.5?
Step-by-step explanation:
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.
We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,
Average rate = (1750 - 0) / (600 - 100)
Average rate = 1750 / 500
Average rate = 3.5
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
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I'm so lost on this work
Answer:
Typist A can type faster
Step-by-step explanation:
Replace the t in w = 50t with any numbers and graph the points you get
You can see that typist A can type 50 words per minute when typist B can only type 40
A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter work on the job?
Answer:
= 426 1/4 hr.
Step-by-step explanation:
5 1/2 = 5.5 Days in a week
7 3/4 = 7.75 hr. Per Day
Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week
In 10 weeks = 42.625 × 10 = 426.25 hr.
4 7/8 in decimal form
Answer:
4.875?
convert it into an improper fraction
4 7/8 in decimal form is equal to 4.875.
To convert the mixed number 4 7/8 into decimal form, we need to add the whole number part to the fraction part.
The whole number part is 4.
To convert the fraction 7/8 into decimal form, divide the numerator (7) by the denominator (8):
= 7 ÷ 8
= 0.875
Now, add the decimal result to the whole number:
= 4 + 0.875
= 4.875
Therefore, 4 7/8 in decimal form is equal to 4.875.
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How many zeros does the function f(x) = 17x^15 - 11x^9 + 27x^3 – 13x + 12 have?
Answer:
15
Step-by-step explanation:
The amount of zeros of a function depends on the highest degree of such function.
Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros
(2 3/8 +1 1/4)+ 2 7/8 using properties of addition
Answer:
Well The answer is: 9
Step-by-step explanation:
(2 3/8 + 11/4)=
(2 + 3) + (3/8 + 3/4)= 6 1/8
(6 1/8 + 2 7/8) =
(6 + 2) + (1/8 + 7/8) = 9
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A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use
Answer:
d. t-test for means
Step-by-step explanation:
Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"
Sample size = n = 120
Sample mean = x = 0.8
Sample standard deviation = s = 2
Claim: A particular diet helps loss weight.
Hypothesis test
The null and alternative hypothesis is
H0 : μ = 0
Ha : μ < 0
Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.
50+50, please help me need to pass pree schol
Answer:
100 lol thanks
Step-by-step explanation:
25+25=50 50+25=75 75+25+100
Help on number 2 please
Answer:
y=12.73 x=9
Step-by-step explanation:
emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit
Answer:
small box costs $11, large box costs $13
Step-by-step explanation:
2S + 3L = 61
3S + 3L = 72
Eliminate the L terms: subtract first equation from second equation
2S + 3L = 61
-3S - 3L = -72
-------------------
-S = -11
S = 11
2S + 3L = 61
2(11)+3L = 61
3L = 39
L = 13
small box costs $11, large box costs $13
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
3. A cube has a length of 9 inches. Find its volume.
A. 486 in^3
B.639 in^3
C.729 in^3
D. 819 in^3
Answer:
C
Step-by-step explanation:
[tex]x^{3}[/tex]=volume of cube
x= length, width, or height
9*9*9=729
C
Help please ............
Answer:
1
Step-by-step explanation:
We use PEMDAS, so we do the parenthese first, which is 6 x 2 = 12 and 12 / 12 gets you 1!
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John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
Jane has 6 more than twice the number of pairs of shoes that Mary has.
Write an expression for this. Use s as your variable for the shoes.
Answer:
im not sure
Step-by-step explanation: