Answers
Answer:
y = \(\frac{4\sqrt{3} }{3}\)
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
\(\frac{8}{\sqrt{3} } =\frac{x}{1}\)
x\(\sqrt{3}\) = 8
x = \(\frac{8}{\sqrt{3} }\)
x = \(\frac{8\sqrt{3} }{3}\)
That is the hypotenuse of the smaller triangle. To find y...
\(\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}\)
2y = \(\frac{8\sqrt{3} }{3}\)
y = \(\frac{4\sqrt{3} }{3}\)
Hope this helps!
Related Questions
George recorded the points he scored in his last eight basketball games.
what is it mean absolute deviation of the scores
40, 35, 38, 54, 28, 32, 47, 16
Answers
This is due in an hour pls help!!
Answers
To design a spinner with the given probabilities, we can use the following sectors:
A sector covering 60 degrees for the number 1, with probability 1/6.
A sector covering 120 degrees for the number 3, with probability 1/3.
A sector covering 180 degrees for the number 7, with probability 1/2.
A sector covering 180 degrees for the odd numbers (1 and 3), with probability 1.
To create the spinner, draw a circle and divide it into four equal sectors. Color one sector red for the number 1, color two adjacent sectors green for the number 3, color one remaining sector blue for the number 7. Finally, color half of the blue sector green to represent the odd numbers.
The resulting spinner will have the desired probabilities: P(1) = 1/6, P(3) = 1/3, P(7) = 1/2, P(odd number) = 1.
Factor \(15x+ 40\) Show what you're dividing each term by
Answers
Answer:
The answer is 5(3x + 8)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
\(gcf = 5\)
Factor out the GCF.
\(5( \frac{15x}{5} + \frac{40}{5} )\)
Simplify each term in parentheses.
\(5(3x + 8)\)
hence, the answer will be 5(3x + 8).
15x+40 = 5(3x+8)
Step-by-step explanation:
The GCF (greatest common factor) of the terms 15x and 40 is 5.
15x/5 + 40/5
5(3x+8)
Please solve QUICKLY
Answers
Answer:
C
Step-by-step explanation:
It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.
NEEDED ASAP. THANK YOU.
Match the equation with the graph.
Answers
second one- y=-x
third-y=x
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
Karen and bill collector coins Karen has x coins but Bill has eight coins fewer than three times the number of coins Karen has to write and simplify an expression for the total numbers of coins Karen and bill have.
Answers
KAREN!!!!
oop sorry for not answering question
3k = b + 8
Now this is just system of equations, and the system would be in b, k. (-8, 0) so bill is in debt -8 coins, and Karen has 0coins, lol.
5/6(-8/15) plz help
Answers
Answer: -40/90 I think
Step-by-step explanation:
5x8= 40
6x15=90
Answer:
If your talking about division -0.44444444444
Step-by-step explanation: no explanation just look it up
When the solution of x2 + 9x − 9 is expressed as negative 9 plus or minus the square root of r, all over 2, what is the value of r?
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
117
54
45
9
Answers
Answer:
The answer is option A. 117
Step-by-step explanation:
Somebody help ASAP please please please. I basically forgot all the steps to do this.
Answers
Answer:
m=50
Step-by-step explanation:
m=4a+2c
m= 4(10)+2(5)
m= 40+10
m=50
Answer the area of the trapezoid
Answers
Answer:
8700 meters
Step-by-step explanation:
The project will cost $___.
Answers
Answer:
$2.03
Step-by-step explanation:
$0.98
+$1.05
Help I need to turn this in 15mins
Answers
18 = 8
27 = 12
36 = 16
45 = 20
Answer ASAP and whoever get it right can have brainliest!
Answers
I needed to have 20 characters to post this.
Step-by-step explanation:
\( = \frac{2}{7} \div 7 \\ \)
\( = \frac{2}{7} \times \frac{7}{1} \\ = \frac{2}{7} \times \frac{1}{7} \)
\( = \frac{2}{49} \\ \)
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride?
2 blocks per minute
3 blocks per minute
4 blocks per minute
10 blocks per minute
Answers
Answer:
The answer is currently B. 3 blocks per minute!
Hope this helped you out! :D
Answer:
3 blocks
Step-by-step explanation:
It’s actually pretty easy , all you have to do is divide the rate of distance to the rate of time to get the rate of speed like this chart . To get speed you need to divide D (Distance) by T (time) hope this helps also plz mark me brainliest
find the value of x?
Answers
Answer:
70
Step-by-step explanation:
The sum of all the angles of a triangle is 180.
so 47 + 63 + x = 180
110 + x = 180
x = 180-110
x = 70
The sum of the angles in a triangle is 180°. Therefore the value of x in the triangle attached is 70°.
Understanding Angles in a TriangleA triangle is a polygon with three sides, three angles, and three vertices (corners). It is one of the fundamental shapes in geometry and has several important properties.
Properties of Triangles
1. Interior Angles: The interior angles of a triangle always add up to 180 degrees. Each angle is measured in degrees, and the sum of all three angles is always a straight angle.
2. Exterior Angles: The exterior angle of a triangle is formed by extending one of its sides. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.
3. Side Lengths: In a triangle, the sum of the lengths of any two sides is always greater than the length of the third side. This property is known as the Triangle Inequality Theorem.
Learn more about triangle here:
https://brainly.com/question/25215131
#SPJ6
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
Please help!! I would appreciate it! :)
solving equations with the distributive property
4(2x + 3) = 22 + 6x
PLEASE show your work!
Answers
Answer:
It is 8x+12=22+6x
Step-by-step explanation:
It is that because you are multiplying everything by 4 now add the answers 8x+6x=14x 12+22=36 so your answer is 14x+36
Can someone help me solve this and explain it to me so that I can get the hang of it? Thank you! (Extra Points)
Answers
Answer:
√4
Step-by-step explanation:
because 9x9=81
Hope this helps!!
The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
P.S: The answer is not 540
Answers
Answer:
the ansere is -20
Step-by-step explana
The speed is given by the arithmetic mean. Then the jet Alyssa's average speed on the round trip is 540.
What is the average speed?The total distance covered by the particle or the body in a total time is called average speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the average speed formula
\(\rm v_{a} = \dfrac{v_1+ v_2}{2}\)
The speed of the jet Alyssa flew on from Boston to London was 480 mph.
On her return flight, the speed of the jet was 600 mph with a tailwind.
Then the average speed of the jet will be
\(\rm v_{a} = \dfrac{v_1+ v_2}{2}\\\\v_{a} = \dfrac{480 + 600}{2}\\\\v_{a} = 540\ mph\)
More about the average speed link is given below.
https://brainly.com/question/7359669
PLz Help -Moore High bought team shirts for 17 adults
and 87 students. Norman High bought team
shirts for 19 adults and 121 students. The two
schools used a vendor that charges a dollars
for each adult shirt and s dollars for each
student shirt. If Moore High paid a total of
$9,845 and Norman High paid a total of $14,730,
then write the equation which can be used to
find the price of each adult shirt and each
student shirt.
Answers
Answer
Step-by-step explanation:
Answer:4885
Step-by-step explanation:subtract both of the total numbers which would equal s so s=4885
What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases
Answers
What is the solution to this equation?
−1/5(x+1 3/4)=−2 1/
2
Responses
x=21 1/4
x equals 21 and 1 over 4
x=14 1/4
x equals 14 and 1 over 4
x=10 3/4
x equals 10 and 3 over 4
x=3 3/4
I WILL GIVE BRAINLYEST
Answers
Answer:
10 3/4
Step-by-step explanation:
\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)
NEED HELP ASAP. ASSISTANCE IS GREATLY APPRECIATED.
What is the volume, in cubic inches, of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for π (pi), and round to the nearest hundredth.
Answers
Answer:
The volume (V) of a cone can be calculated using the formula: V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 9^2 x 16
Calculating this expression gives us:
V = 1810.08 cubic inches
Rounding to the nearest hundredth gives us:
V ≈ 1810.08 cubic inches (rounded to two decimal places)
Therefore, the volume of the cone is approximately 1810.08 cubic inches.
Answer:
1363.04
Step-by-step explanation:
V = (1/3) * 3.14 * 9^2 * 16
Simplifying:
V ≈ 1363.04 cubic inches
Carson wrote the expression shown below. 5(y + 2) Write an expression that is equivalent to Carson’s expression.
Answers
Answer: 5y+10
Use the distributive property and multiply 5 x y and 5 x 2
what is _________ in its simplest form?
Answers
8/10 is 4/5
25/50 is 1/2
2/18 is 1/9
3/21 is 1/7
3/4 is 3/4
2/3, 4/5, 1/2, 1/9, and 3/4 I'm pretty sure.
Percentages
Gunpowder contains 75% nitre and 10% sulfur. Find the amount of gunpowder which carries 9 kg nitre. What amount of gunpowder would contain 2.3 kg sulfur?
Answers
Answer:
Let the amount of gunpowder that contains 9 kg nitre be x kg. ∴ The amount of gunpowder containing 9 kg nitre is 12 kg.
So, about 200 kg gunpowder
The operation symbol and the exponent are missing in the equation shown below.
7,320
10
0.07320
Which operation symbol and exponent should go in the boxes to make the
equation true?
Answers
Answer:
The operating symbol is divide (/) and the exponent is 5
\(7,320 / \ 10^5 = 0.07320\)
Step-by-step explanation:
Given
\(7,320 \ \_\ 10^{\_} = 0.07320\)
Required
Fill in the gap
\(7,320 \ \_\ 10^{\_} = 0.07320\)
Multiply the right hand side by 1
\(7,320 \ \_\ 10^{\_} = 0.07320 * 1\)
Express 1 as 100000/100000 because 100000/100000 = 1
\(7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}\)
Split the fraction
\(7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}\)
Multiply 0.7320 and 10000
\(7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}\)
Express \(\frac{1}{100000}\) as an exponent
\(7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}\)
Change the * sign to /
\(7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}\)
\(7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5\)
Compare the expression on the right hand side with the left hand side base on the order of appearance;
\(7,320 = 7,320\)
\(The first\ \ _ = \ /\)
\(10 = 10\)
\(The second\ \_ = 5\)
Hence, the operating symbol is / and the exponent is 5
If a triangle has a base of 64 m and a height of 7.3 m then what is the area of the triangle? show your work please
Answers
Answer:
234
Step-by-step explanation:
The formula is 1/2 Times base times Height
The Base- 64
the height -7.3
So then Just Substitute The values.
64 times 7.3 times one half
64 x 7.3 = 467.2
467.2 times one half = 234
Identify all the Interior Angles.
Answers
Answer:
3,4,6,5
Step-by-step explanation:
They are inside, with the transversal line cutting through the two parallel lines.
Answer:
3, 4, 5, 6
Step-by-step explanation:
Interior angles are angles inside parallel lines. A and b are parallel lines and angles 3, 4, 5, and 6 are inside the two lines. This means that they are interior angles.
Hope This Helps :)