Find the value of a. Round your answer to the nearest tenth. B 10 77.5 A C 7.9
Answers
Answer:
[tex]\displaystyle 11,3[/tex]
Step-by-step explanation:
Use the Law of Cosines to find the length of the third edge:
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]
Use [tex]\displaystyle cos^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]
Take the square root of the final result or it will be thrown off!
Let us get to wourk:
[tex]\displaystyle 10^2 + 7,9^2 - 2[10][7,9]\:cos\:77,5 = a^2 \hookrightarrow 100 + 62,41 - 158\:cos\:77,5 = a^2 \hookrightarrow \sqrt{128,212541} = \sqrt{a^2}; 11,323097677... \\ \\ \boxed{11,3 \approx a}[/tex]
I am joyous to assist you at any time.
Related Questions
There was a bottle of milk at home. After the brother drank 1.94L of it, there were 0.56L left. How many litres of milk was there at the beginning?
Answers
Answer:
add the 1.94+0.56 to get 2.5 liter
Step-by-step explanation:
wow, he drank almost 2 liters of milk more or less in one turn ? he might spend quite some time in the bathroom ...
anyway, x = original amount of milk.
x - 1.94 = 0.56 now we add 1.94 to both sides
x = 2.5 L
The length of a rectangle is 4 cm less than twice its width. The perimeter of the
rectangle is 58 cm. What are the dimensions of the rectangle?
Answers
Step-by-step explanation:
Let width be x
according to question
length = 2x-4
perimeter = 58
now,
perimeter = 2(length + width)
58 = 2(x+2x-4)
58 = 6x-8
6x = 66
x = 11
putting value of x in length
2x-4
= 2 X 11 -5
= 18
hence the dimensions of the rectangle is 18 and 11
Consider functions f and g
Answers
Answer:
A
Step-by-step explanation:
[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]
[tex] g(x) = \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]
[tex] f(x) + g(x) = \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]
Answer: A
What are any tricks for remembering the Pythagorean theorem?
Answers
Answer:
No. Just no the formula
Hyp2= Adj2 +Opp2
The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
What is the Pythagoras theorem?Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.
Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.
It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.
The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.
For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:
[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]
Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
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Anwser for 4.5 times 3.6
Answers
Answer:
16.2
Step-by-step explanation:
calculator :0
A news report says that 28%
28
%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
Answers
600 x 28% = 168
600-168= 432
you would guess that 432 students pack don’t pack lunch and 168 pack lunch
The least common denominator of 7/12, 1/3, and 3/4 is
Answers
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
Destiny performs a hypothesis test on a population with µ = 115 and Sigma = 30. Her sample size is 25 with a mean of 120. 4. Which of the following correctly depicts the z-statistic for this data? 0. 04 0. 90 3. 53 3. 93.
Answers
The correct answer which refers to the z-statistic for this data is b)0.90.
What is a Hypothesis Test?The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.
It is given that µ = 115 and Sigma = 30.
sample size is 25 with a mean of 120.4
The formular for z-statistic is
z = (x – u) / (σ / sqrt n)
Therefore, we input the values and we get
z = (120.4 – 115) / (30 / sqrt 25)
We calculate further and we get
z = 0.90
Therefore, the correct answer is option b.
Learn more about the hypothesis test here:
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Step by step please
Answers
BC^2=AC^2 - AB^2=37^2-35^2
BC^2=1369-1225 =144 = 12^2
BC= 12in
Area of figure = area of a square + area of triangle
Hence the area would be 996in^2
(Brainiest pls took me like 5 minutes solve) Have a great day/night.
Electric guitar kits originally cost $d$ dollars online. You buy the kits on sale for $50\%$ of the original price, plus a shipping fee of $\$4.50$ per kit. After painting and assembly, you sell each guitar online for $\left(1.5d+4.5\right)$ dollars. Find your profit on each guitar sold.
Answers
let's keep in mind that Profit = Revenue - Costs.
so each guitar costs originally "d" dollars online.
you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50. So the Cost to get one kit alone for you is 0.5d + 4.50.
After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.
[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]
Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?
Answers
Answer:
Statistical
Statistical
Not Statistical
Step-by-step explanation:
These are answered by data collection and has some form of variability while non-statistical question has no variability.
The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.
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Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31
movies. If they decide to randomly choose three movies, what is the probability that the three they choose will consist of each of their favorite movies? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth
Answers
The probability that the three they choose will consist of each of their favorite movies is 1/29791.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
Finn, Michael, and Chris are going to have a movie night this weekend. Together, they have 31 movies.
Total number of outcomes = 31
They choose three movies out of 31
Let us assume that Finn, Michael, and Chris have 1 favorite movie out of 31.
The probability that the three they choose will consist of each of their favorite movies:
= (1/31)(1/31)(1/31)
= 1/29791
Thus, the probability that the three they choose will consist of each of their favorite movies is 1/29791.
Learn more about the probability here:
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Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic meters?
16 m3
24 m3
48 m3
144 m3
Answers
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
its 48
Step-by-step explanation:
8x3x2= 48
x + 3y = 3
x - 5y = -29
solve by elimination
Answers
Answer:
x=-9
y=4
Step-by-step explanation:
x + 3y = 3
x - 5y = -29
Multiply the second equation by -1
-x + 5y = 29
Add the two equations together to eliminate x
x + 3y = 3
-x + 5y = 29
---------------------
0x +8y = 32
Divide each side by 8
8y/8 = 32/8
y = 4
Now solve for x
x+3y =3
x+3(4) = 3
x+12 = 3
Subtract 12 from each side
x+12-12 = 3-12
x = -9
Write a word problem to match the shaded fraction bar 3/4
Answers
Answer:
shaded part=3/4
unshaded part=1/4
Total=1
A 70kg person jumps off a staircase. They are going 5 m/s just before they hit the ground. How high up where they.
Answers
Answer:
0.02 seconds
Step-by-step explanation: A 70kg man jumps 1.00 meters down onto a concrete walkway. His downward motion stops in 0.02 seconds.
Answer:
1.25m
Step-by-step explanation:
v=u+gt
5=0+10t
5=10t
t=0.5s
s=ut+1/2gt^2
=0+(0.5×10×(0.5)^2)
=1.25m
Consider the division statement 1/4 divided by 7/16
Answers
Answer:
4/7
Step-by-step explanation:
1/4 divided by 7/16 is the same thing as 1/4 * 16/7. Multiply this and you will get the fraction of 16/28. Once simplified, this comes out to be 4/7.
Write a decimal that is greater than 3.3 and less than 3.73
Answers
Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7
Explain:
It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.
What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.
I hope that was helpful
Gabby is working on reducing traffic in her town. Last week, she tracked how many cars
drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
1) What percent of the time did Main Street have 100 or more cars per hour?
Answers
The box plot represents the rate of cars in the Main Street per hour
25 percent of the time, the Main Street have 100 or more cars per hour
How to determine the proportion of the boxplot?From the box plot, we have the following parameter:
The upper quartile of the boxplot is 100
This means that:
Q3 = 100
The upper quartile is the 75% dataset
The actual percentage is then calculated as:
Actual = 100% - 75%
This gives
Actual = 25%
Hence, 25 percent of the time, the Main Street have 100 or more cars per hour
Read more about boxplots at:
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Charmaine got a prepaid debit card with $15 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was 21 cents per yard. if after that purchase there was $12.27 left on the card, how many yards of ribbon did charmaine buy?
Answers
Answer:
15- 12.27 = 2.73
2.73 is how much she spent on the ribbon.
2.73/ 0.21 = 13
She purchased 13 yards.
How many solutions does each polynomial have?
Answers
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
what are the coordinates of point G
Answers
Calculate distance of G from x and y axis(1 box=1unit)
x axis=8y axis=5So
the coordinate is
(x,y)=(5,8)Answer:
(5,8)
Step-by-step explanation:
x=5
y=8
(x,y)= (5,8)
solve the following
7(-2x+4)=-4x
PLS TELL ME QUICKLY
Answers
Answer:
x = 2.8
Step-by-step explanation:
[tex]7\left(-2x+4\right)=-4x[/tex]
[tex]-14x+28=-4x[/tex]
[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]
[tex]-14x+28-28=-4x-28[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-14x=-4x-28[/tex]
[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]
[tex]-14x+4x=-4x-28+4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-10x=-28[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]
[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]
[tex]x=\frac{14}{5}[/tex]
[tex]x=2.8[/tex]
[RevyBreeze]
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answers
Answer:
The answer is -28C
Step-by-step explanation:
dont forget to smile today:)
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)
Answers
Answer:
2835 flowers
Step-by-step explanation:
We need the circumference of the garden, with it's 150' radius. Circumference, C, is given by: C = 2[tex]\pi[/tex]r. I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.
C = 2*(3.15)*150'
C = 945'
4 inches = 1/3 foot.
Every 1/3 of a foot of the circumference will have a flower. We can make this a conversion factor: 3 flowers/foot
Flowers = (945')*( 3 flowers/foot) = 2835 flowers
Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one?
Answers
I will give you more points if you give me the correct answer
Answers
Step-by-step explanation:
2000 <= (178 + S) + S
remember, they needed to collect at least 2000 cans.
S = the number of cans Shane collected.
the number of cans Abha collected is 178 more than S (the number of cans Shane collected).
and from there we get
2000 <= 178 + 2S
1822 <= 2S
911 <= S
so, the solution set is
S >= 911
and
Abha >= 1089
I NEED THE ANSWER |(-2+1)*3)|
Answers
Answer:
The answer is 3
Step-by-step explanation:
add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3
A customer in Maine orders a Dog Treat Bundle for $34.80. The sales tax in Maine is 5.5%. How much sales tax is collected on the order?
Answers
Answer/Step-by-step explanation:
GIven;
A customer in Maine orders a Dog Treat Bundle for $34.80.
The sales tax in Maine is 5.5%.
To Find;
How much sales tax is collected on the order?
Solve;
$34.80 * 5.5% = 1.914
Round: 1.914 = 1.91 [Sales tax added]
$34.80 + 1.91 = 32.89 [Total]
Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)
~Learn with lenvy~
A window in Lynn and Jorge's house needs to be
replaced. The rectangular window is 3 feet 5 inches
tall and 2 feet 7 inches wide. Change each of the
measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation
that is $0.50 per inch, how much will it cost to insulate
the perimeter?
Answers
Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note: 1 foot is made up of 12 inches.
3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41
2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31
Part A
P = 2L + 2W Substitute the above Values into this equation
P = 2*41 + 2*31 Combine
P = 82 + 62 Add
Answer: P = 144
Part B
1 inch costs 0.5 dollars
144 inches cost x
1/144 = 0.5/x Cross Multiply
x = 144 * 0.5
Answer: x = 72 dollars