The angles are;
A = 60
B = 38
C = 82
What is the cosine rule?The cosine rule is a mathematical formula used in trigonometry to determine the lengths of sides of a triangle, given the lengths of two sides and the measure of the angle between them. The cosine rule states that the square of the length of a side of a triangle is equal to the sum of the squares of the lengths of the other two sides, minus twice the product of the lengths of those sides and the cosine of the angle between them.
c^2 = a^2 + b^2 - 2abCos C
7^2 = 5^2 + 8^2 - 2(5 *8) Cos C
49 = 25 + 64 - 80 CosC
-40 = -80 CosC
Cos C = 0.5
C = 60°
b^2 = a^2 + c^2 - 2ac Cos B
5^2 = 8^2 + 7^2 - 2(8 *7) Cos B
25 = 64 + 49 - 112Cos B
Cos B = 38
C = 180 - (60 + 38)
A = 82
Learn more about cosine:https://brainly.com/question/29114352
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Brainliest
Three cylinders have a height of 8 cm.... Find the volume of each cylinder. Round all answers to the nearest hundredth. Use 3.14 for pi.
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each of labor.
Answer:
A=$1,500, $3,000
B=Y=50x+500 (explained below)
Step-by-step explanation:
you start with the funtion “y=mx+b”. m is the slope, and b is the y intercept. x is how far right or left the point is and y is how far up or down the point is. Then you plug in the information you know. If they charge $50 for each hour, you plug that into the slope, and plug the $500 into the y intercept because that is the initial price, no matter how long it takes them. After you plug those in, it will look like “y=50x+500”. Then you look at what A is asking, for 20 or 50 hours of labor. On the graph it show you that hours is on the x-axis, so you plug the numbers into the equation. The first one, 20, would look like “50(20)+500”. Then the simple part, you solve it. 50 times 20 is 1,000 and 1,000 plus 500 is 1,500. So if they were to work for 20 hours, it would cost $1,500. You do the same for the second one, looking like “50(50)+500” ending up to 3,000. Those are your answers for A. For B, you need to plot the line. You take the easy one, with x being 0. You plot a dot on the y-axis, at (0,500), then you need to plug a number in for the second one, lets take the first number shown on the x-axis, 10. You plug it into the formula, looking like “y=50(10)+500” ending up at “y=1,000” so you plot another dot at (10,1,000). You then take a straight edge, line up the two dots, and draw your line.
There are two triangles satisfying angle BCA = 60 degree, AB = 9 and AC = 10 shown below:
The possible values of BC are a_1 and a_2$, as shown in the picture, with a_1
Answer:
Step-by-step explanation:
So...let's figure a2 first
a2 / sin (45.8) = 9 /sin C
a2 / sin (45.8) = 9 / [ sqrt (3) / 2 ]
a2 =sin (45.8) * 18 / sqrt 3 ≈ 7.45
And in the second case
C = 180 -60 - 105.8 ≈ 14.2°
So....by the Law of Sines again we can find a1 as
a1 / sin (14.2) = 18/sqrt 3
a1= sin (14.2) * 18 /sqrt 3 ≈ 2.55
{a1 , a2} = {2.55 , 7.45}
Organizers of the Gasparilla Pirate Festival in Tampa estimate that the parade attracts about 6% more people each year. The function f(x)=300(1.06)^x represents the estimated number of people (in thousands) who attend the parade x years after 2020.
Find the domain and range.
What is the estimated number of people who attend the parade in 2024?
Answer:
mm
Step-by-step explanation:
HOW IN THE WORLD DO I SHADE IN 21/32 IN A CHART?????????? DON'T DO IT FOR THE POINTS PLEASE AND ILL NEED A EXPLANATION TOO!!!!!!
Step-by-step explanation:
You have to shade all the red dots because in column wise you have to shade from 1/8 to 7/8 and in row wise you shade from 1/4 to 3/4
Find 40% of 35. Show your work or explain how you arrived at your answer.
Answer:
It's 14
Step-by-step explanation:
First divide 35 by 100 then multiply by the percentage or 40 and the answer is 14
Which expression is equivalent to -3(2m-1)-n?
6m-n-3
6m-n+3
-6m-n-3
-6-n+3
20% of what number is 12
Answer: 12 is 20 % of the number 60
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Re-write 20%
[tex]\frac{20}{100}[/tex]
Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have:
[tex]\frac{20}{100}[/tex] of 12 = [tex]\frac{20}{100}[/tex] x 12
The answer is:
2.4
help me with this pls :)
Answer:(9,12).
Step-by-step explanation:
May someboy help my brain. Its just sales tax. Btw the second answer is wrong.
Answer:
$4.94
Step-by-step explanation:
We can first solve this by turning this sales tax percentage into a decimal
[tex]8.6\% = 0.086\%[/tex]
Now that we got that and your first answer of $57.40, we can multiply the two numbers.
[tex]0.086 \times 57.40 = 4.9364[/tex]
That rounds to 4.94
Answer:
$6.02
Step-by-step explanation:
because 8.6% of 70
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 ➗ 5 = 12. Does Noah’s method always work? Explain why or why not.
Answer:
No, Noah's method does not always work.
Step-by-step explanation:
Let's say we're trying to find 40% of 80 instead of 20% of 60.
If we divide 80 by 5, like Noah says, we get 16, which is not 40% of 80.
The proper solution would be to multiply the number by the percentage converted to a decimal.
In this case, it would be 80 × 0.4, which is 32.
When you try to solve 20% of 60, you can say 60 × 0.2, which also gets 16.
Answer:
No it doesn't
Step-by-step explanation:
His method never works because multiplying by does not give the same result as dividing by 5. AI Recommended Answer: To find 20% of a number, divide the number by 5. For example, 20% of 60 is 12.
Type the correct answer in each box. Four number lines named graph A, graph B, graph C, and graph D are present. Their respective ranges are 19 to 27, 21 to 30, 23 to 32, and 23 to 32. Each number line has an arrow highlighted on it. The graph that correctly represents the inequality 2x > 50 is graph . The graph that correctly represents the inequality x + 6 < 32 is graph .
Answer:
B
Step-by-step explanation:
Simplify the inequality
x<26
what is the opposite reciprocal of 109123?
Answer: -1/109123
Step-by-step explanation:
defination to the opposite reciprocal
The reciprocal value which is same magnitude but opposite sign
reciprocal number is 1 divided by given number
From given data :
reciprocal value is 109123
opposite reciprocal value is -109123 and 1 is divided by given value then
the value is -1/109123
write the number 2 equivalent from as a fraction decimal or percent.
0.75
what is the equivalent fraction?
Answer: 3/4
Step-by-step explanation:
0.75 = 75/100
75/25 = 3
100/25 = 4
Therefore, 0.75 = 3/4
Answer: hope this helps ♡
¾ is equivalent to 0.75
Step-by-step explanation:
You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $6.75. For Account B, the simple interest earned after 21 months is $19.25. If the interest rate is 3.6% for Account A and 2.2% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
PLS HELP ME WITH THIS, I DON'T UNDERSTAND THIS!
Answer:
Step-by-step explanation:
Answer: Foremost sum could Be a = $250.09 Principal sum is B = $400. Account B earned you the foremost intrigued the first month The equation for straightforward intrigued is communicated as I = PRT/100 Where P = the central or starting sum of cash invested. R = intrigued rate T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
On account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
To decide the account that earned more intrigued within the to begin with month we separate the intrigued by the number of months.
$6.94/9 = $0.7711
$13.80/18 = $0.7667
Account B earned you the foremost intrigued the first month since $0.7667 is higher than $0.7711.
hoped this helped :-)
Tyler and Elena are on the cross country team.
Answer all questions
Answer: Tyler and Elena are on the cross country team.
Tyler's distances and times for a training run are shown on the graph.
Elena's distance and times for a training run are given by the equation.
Step-by-step explanation: Represents distance in miles and
represents time in minutes.
a. Who ran farther in 10 minutes? How much farther? Explain how you know.
b. Calculate each runner's pace in minutes per mile.
c. Who ran faster during the training run? Explain or show your reasoning
To know more about equation:
https://www.numerade.com/questions/tyler-and-elena-are-on-the-cross-country-team-tylers-distances-and-times-for-a-training-run-are-show/
If Paris walks 6 miles in 60 minutes, then Paris will walk how far in 110 minutes if she walks at the same speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
_____miles
Answer:
11 miles
Step-by-step explanation:
6 miles/60 min = 0.1 miles per minute = 0.1x110 = 11
Lynn is cutting a roll of cookie dough into slices that are 3/8 of an inch thick. The entire roll of cookie dough is 10 1/2 inches long. How many slices of cookie dough will Lynn get from the roll?
Group of answer choices:
28
21
12
35
Density is a measure of how much mass is present in a certain volume of space and is defined by the formula , where D represents density, m represents mass, and V represents volume. If the density of an object is y10 grams/cm3 and its volume is y4 cm3, what is
Answer:
mass is 40y^2
Step-by-step explanation:
D=M/V
D=y10
V=y4
Y10=m/y4
Y10xy4=m
40y^2=m
I don’t know what you mean by y, but I’m pretending it’s a variable here.
Susie made a large pot for her family. The pot Susie used has a capacity of 5 liters. Why could the capacity of the same pot be 5,000 milliliters?
Answer:
Because:
[tex]1 \: liter = 1000 \: milliliters[/tex]
Therefore to change from litres milliliters we multiply with 1000
[tex]5 \times 1000 = 5000[/tex]
Question
The label on a juice carton says that a 4-ounce serving of juice has 50 calories.
Arthur drinks 8 ounces of juice.
How many calories will he consume?
Responses
48 calories
48 calories
58 calories
58 calories
100 calories
100 calories
200 calories
Answer:
Step-by-step explanation:
4(ounces) = 50(calories)
he drinks 8(ounces)
witch is 50 + 50 = 100
Look at image below
(brainliest if the answer is correct
Group of answer choices
A
C
D
B
(Brainliest if it's correct
Answer:
Choice B
Step-by-step explanation:
2(5 x 10) top and bottom rectangles
1(10 x 6) the middle rectangle
2 ((1/2(6 x 4)) the two triangles
Sum of all the areas = 2(5 x 10) + (10 x 6) + 2((1/2(6 x 4))
This matches answer B
Answer:
B
Step-by-step explanation:
The rectangle measurements are 10 in by 5 in, and there are 2 rectangles with that measurement, so the first part is 2(5 × 10). Using the process of elimination, none of the other answer choices have that particular answer, so it's B. Hope this helps! Have a great day! :)
Help me out and i also need this in like 1 hour
Answer:
%2
Step-by-step explanation:
If every year the interest rate is %2 of the 4000 that means each year 80% is paid. This means that in 10 years 800$ will be paid
4000 - 800 = 3200
There's one triangle satisfying angle BCA = 60 degrees, AB = 12 and AC = 10 shown below:
The only possible value of BC is a, as shown above. What is a?
Please don't round your answer. Keep it as a square root.
Answer:
see attached
Step-by-step explanation:
you need to create 2 right angle triangles
one on the left has 60° which makes it a special right angle triangle with the property of the following:
the side that's opposing the 30° angle will be 1/2 of the long side,
the side that's adjacent to the 30° angle will be √3/2 of the long side
once you know these, the rest is easy
Answer:
a = 5 + √69
Step-by-step explanation:
I am just providing another way of solving this. The answer provided by user elzny is absolutely correct and probably easier to understand. He has done a great job.
We can solve for a using the law of cosines which states that given, two sides of a triangle(say a and b) and an included angle (say C), the third side, c can be determined by the relation:
c² = a² + b² -2ab(cosC)
or
a² + b² -2ab(cosC) = c²
If we look at the triangle we see that angle C measures 60° and the two sides that include this angle are of lengths 10 and a. The third side is 12
Plugging in these values into the equation,
10² + a² - 2(10)(a)(cos 60) = 12²
100 + a² -20a(cos 60) = 144
cos 60 = 1/2
So
100 + a² - 20a (1/2) = 144
(100 - 144) + a² - 10a = 0
a² -10a -44 = 0
This is a quadratic equation which can be solved to get two values for a
The solution to this quadratic equation is done using the quadratic formula
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]
where
a = coefficient of x² = 1 in this problemb = coefficient of x = -10 in this problemc = constant = -44Plugging in these values,
[tex]x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(1)(-44)}}{ 2(1) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - (-176)}}{ 2 }\\\\x = \dfrac{10}{2} \pm \dfrac{\sqrt{276}}{2}}[/tex]
Factor 276 to get 276 = 4 x 69
[tex]\sqrt{276} = \sqrt{4 \cdot 69} = \sqrt{4} \cdot \sqrt{69} = 2 \sqrt{69}[/tex]
This results in
[tex]x = \dfrac{ 10 }{ 2 } \pm \dfrac{2\sqrt{69}\, }{ 2 }\\\\x = 5 \pm \sqrt{69}\\\\[/tex]
[tex]\sqrt{69}[/tex] is greater than 5 so we take only the positive component which is
[tex]5 + \sqrt{69}[/tex]
Which is the same answer as what elzny provided.
The pro of this methodology:
Direct implementation without splitting the triangle
The con:
You have to solve a quadratic equation which is not fun. But most scientific calculators can do this for you
Thanks!
mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhh!!
Answer:
option d between 5 and 6
√25<√27>√36
Answer:
5-6
Step-by-step explanation:
A farmer is mapping out one of his fields and is placing markers to section off areas to use for different crops. He has placed marker 1 at the point (2, 1), marker 2 at the point (-3, 1), and marker 3 at the point (2, 5). If the farmer marks off a rectangular field with the fourth marker, what must the coordinates of the fourth marker be? (Please answer!)
Answer:556
Step-by-step explanation:
56875-790r4+356653x 2 / 64
Answer:
(-3,5)
Step-by-step explanation:
If you put a point on (-3,5) the square will be complete.
(6TH GRADE)
15/7 + h = 37/7
h = 22/7.
choose the correct reasoning for why h=22/7
A. h=22/7 Because 37/7 is 22/7 more than 15/7
B. h=22/7 Because 37/7 is 22/7 less than 15/7
Answer:
Given [tex]\frac{15}{7} + h = \frac{37}{7}[/tex]
When h = [tex]\frac{22}{7}[/tex]
[tex]\frac{15}{7} + \frac{22}{7} = \frac{37}{7}[/tex]
We add 15 and 22 on the left side, because the denominators are equivalent.
15 + 22 = 37, [tex]\frac{37}{7}[/tex] = [tex]\frac{37}{7}[/tex]
So this statement is true.
That means the correct option is A.
Have a wonderful day! :-)
NEED HELP FAST!!! Find the constant of proportionality for the proportional relationship shown on the graph.
graph of a line going through 0 comma 0 and one half comma 7
p = 0.5
p = 0.714
p = 7
p = 14
Answer:
p = 14
Step-by-step explanation:
If at x 1/2 and y 7 this means that for x 1 y would be double 7 or 14.
Which statement compares the fractions two fourths and five twelfths correctly?
two fourths is less than five twelfths
two fourths is greater than five twelfths
five twelfths is equal to two fourths
five twelfths is greater than two fourths
Answer:
B. two fourths is greater than five twelfths
Step-by-step explanation:
A group of students formed a circle during a game. The circumference of the circle was about 33.69 feet, and the diameter of the circle was 14 feet. Which expression best represents the value of x?
Answer:
Step-by-step explanation:
x