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}
The Pythagorean Theorem and its Converse pt. 2
(Question 10)
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
Answer:
1 hour - how many more hours will the tank be out of gas
Step-by-step explanation:
The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle
Distance of boat from dock after 1 hour
d = [tex]\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\;mi\\[/tex]
Speed of boat = 10mph
distance that can be traveled with 4 gallons of fuel
d = 5 mpg x 4 g = 20 miles
The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more
10 miles ==> 1 hour more at 10 mph
So additional time the boat can travel = 1 hour
I hope that helps. Tried to do my best to cut down the words
When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?
Answer:
$375.3
Step-by-step explanation:
This gold coin is worth 375.3. Because 7.5 times $50.04 is 375.3
you're welcome
Which expression is equivalent to -3(2m-1)-n?
6m-n-3
6m-n+3
-6m-n-3
-6-n+3
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/
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.
30% of what number is 15? Show your work or explain how you arrived at your answer.
Please keep the explanation simple
Answer:
50
Step-by-step explanation:
1. 30% · X = 15
2. 30/100 · X = 15
3. Multiply both sides by 100
30·X=15·100
4. Divide both sides by 30
X = 15 · 100/30
5. X = 50
Please help. I WILL make first person to answer brainliest.
Requirments:
Very simple explanation
Answer
No step by steps.
Thank you
Also sub to Graystillplays bc he is GOATED and hilarious
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
pls answer quick for my project!
Deondra read 8 2/3 pages in of an hour. At what rate, in pages per hour, did she read?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
Answer: 40 pages per hour.
Step-by-step explanation:
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:
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
A summer job pays $7.25 per hour. You work for 12 hours. How much do you make? Show all of your work.
There are two triangles satisfying angle BCA = 60 degrees, AB = 9 and AC = 10 shown below:
The possible values of BC$ are a_1 and a_2, as shown in the picture, with a_1
What are a_1 and a_2?
Please don't round your answer. Keep it as a square root.
Answer:
Don't see the picture
Step-by-step explanation:
So far I'm getting that
(According to the law of cosines):
CAB ≈ 45.793°
ABC ≈ 74.207°
BC ≈ 7.449
Proportional or not?
Equation=_____
Answer: yes
Step-by-step explanation:
this is propprtional
jessica jogged 4 laps around a rac in 9 minutes luke jogged8 laps in 27 minutes their rates can be expressed as the ratio 4:9 ans 8:27 are jessicas and luke rate equivalent?
Answer:
Jessica and Luke rates are inequivalent.
Step-by-step explanation:
Jessica had 4 laps and had 9 minutes.
4 Laps/9 Minutes = 12 laps/27 Minute
12 Laps/27 Minutes ≠ 8 Laps/ 27 Minute
So, Jessica and Luke has inequivalent.
Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D
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!
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
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.
solve for x
x= _______
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]
(quizz 7)
A) How fast was the cyclist going in miles per hour?
1) miles per hour _____
B) At that rate, how long will it take the cyclist to go 4.125 miles (in hours)?
1) hours? _____
Answer:
(A) should be 16.5 mph
(B) is 0.25
Step-by-step explanation:
B was pretty easy because all you had to do is divide by 2
Write an algebraic expression for c multiplied by 4, all divided by 7 lots of d.
Answer: The algebraic expression for c multiplied by 4, all divided by 7 lots of d is given by:
(4c) / (7d)
Step-by-step explanation:
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
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.
A hotel asked its guest how many times they went sledding last winter.
SLEDDING LAST WINTER
Answer: 4
Step-by-step explanation:
the highest number is 4
helping my friend with hw can someone give me the answer
Answer:
216y^3
Step-by-step explanation:
a=1/2bh
a=1/2(8x6)
a=1/2(48)
a=24
24x9=216
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:
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.
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 :-)