Answers
Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.
Answer:
Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21
Step-by-step explanation:
Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.
Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.
Related Questions
[tex]32/8 = 40/h[/tex]
Answers
First you reduce the fraction with 8 so your get
4=40/h
Then you multiply both sides by h and you get
4h=40
After that you divide both sides by 4
And your answer is
h=10
Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No
Answers
Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME
Answers
Answer:
slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis
Step-by-step explanation:
fill in the points and do the equation m= rise(y points)/ run(x points)
m=slope
(x_1, y_1) =coordinates of first point in the line
(x_2, y_2)=coordinates of second point in the line
what is sum 5x7 equal up
Answers
The History Club is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $100. Selling a certain number of shirts will allow the History Club to cover their costs. How many shirts must be sold?
Answers
Answer:
fshdmso hdkdndjsj held by sks
Which is the most accurate way to estimate 68% of 59?
Answers
Answer:
pretty sure it would be 40.12
Answer:
The exact answer would be 40.12
The Rounded answer would be 40
Step-by-step explanation:
0.68 x 59 = 40.12
Brainliest plz
Someone help please
Answers
Answer:
if you would stan LOONA you would get all A's):
Use the diagram to decide whether the congruence statement is true. Explain your reasoning triangle ABC cong triangle EBD
Answers
Answer:
It is not true.
Step-by-step explanation: They arn't congruence
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings? Explain or show your reasoning. Use whatever strategy you would like.
Answers
Answer: 15%
Step-by-step explanation:
The usual price is $80.
This week however, the set sold for $12 less than this usual price of $80.
Savings therefore are $12 because people save $12 by buying it at $12 off.
Percentage of usual price:
= Savings / Usual price * 100%
= 12 / 80 * 100%
= 0.15 * 100
= 15%
solve for x 4x - 3 = 6x + 2 ?
Answers
Answer:
x = -5/2
Step-by-step explanation:
A cylinder has a diameter of 6 cm and a volume of 36 pi
Answers
Answer:
h=1.27
Step-by-step explanation:
[tex]v=\pi r^{2} h[/tex]
[tex]=\pi *3^{2} *1.27[/tex]
= approximately 36.00001
Jon invested a total of $1500 in two
simple interest accounts. Account A
earns 4% interest and Account B earns
6%. Jon earned a total of $80 interest
after one year. How much did Jon invest
in each account?
A $500 in A, $1000 in B
B $750 in A, $750 in B
C $1000 in A, $500 in B
D $1400 in A, $100 in B
Answers
Answer:
the answer is A.
Step-by-step explanation:
y-(-3y) combine the like terms to create an equivalent expression
Answers
Answer: 4y
Step-by-step explanation:
Distribute the negative sign to get rid of the parentheses
y+3y = 4y
The measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x . What is the value of x ?
Answers
By the interior angle theorem of triangles, the value of x is 5°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of the interior angles in a triangle is 180°.
Given, In a triangle DEF the measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x .
Therefore, m∠D + m∠E + m∠F = 180°.
50° + 80° + 10x = 180°.
10x = 180° - 130°.
10x = 50°.
x = 5°.
So, The value of x is 5°.
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Rewrite the faction with the indicate deramnator
9/2 = ?/12?
Answers
Answer:
54
Step-by-step explanation:
9/12=x/12
9*12=108
108/2=54
Answer:
54
Step-by-step explanation:
2 times 5= 12
9 times 6= 54
so 9/2=54/12
What is the solution set of –|x| = –8?
{8}
{–8}
{–8, 8}
no solution
Answers
Answer:
its c -8,8
Step-by-step explanation:
Show me How much is 1 5/6 as a mixed fraction
Answers
Answer:11/6
Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)
Answer:
I am not sure what you are asking for
Step-by-step explanation:
1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.
Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6
If this is not the answer you were looking for, please correct me so I can help you out.
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
Please show the full working out so I know how to get full marks in future I’ll give brainiest
Answers
Answer:
7/18
Step-by-step explanation:
Probability is the ratio of the number of possible outcomes to the number of total outcomes.
Given that there are 9 counters in a bag, 7 are green while 2 are blue.
the probability of picking at random a
Green counter = 7/9
Blue counter = 2/9
The probability that Ria takes one counter of each colour if 2 counter are picked as random is Green and Blue or Blue and Green
This is
=7/9 * 2/8 + 2/9 * 7/8
Recall that when a counter is picked the number of that ball available reduces and so does the total number of counter
=14/72 + 14/72
= 28/72
= 7/18
Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.
Answers
Answer:
30%
Step-by-step explanation:
182-140=42(increase)
increase ÷ original × 100 %
= 42÷140×100%
=30%
The percentage increase from the old number to new number is 30 percent.
Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.
We know that, percentage increase = (New Number - Original Number)/Original Number ×100
= (182-140)/140 ×100
= 42/140 ×100
= 4200/140
= 30%
Therefore, the percentage increase is 30 percent.
To learn more about the percentage visit:
brainly.com/question/24159063.
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About 0.2of all the students in the fifth grade are boys. If the fifth grade has 75 students, how many of the students are ?
Answers
Answer:
15 boys
Step-by-step explanation:
About 0.2of all the students in the fifth grade are boys. If the fifth grade has 75 students, how many of the students are boys?
The number of boys can be calculated as:
0.2 × Number of fifth grade students
Number of fifth grade students = 75 students
Therefore,
The number of boys =
0.2 × 75 students = 15
The number of boys = 15 boys
Graph the image of the figure using the transformation given.
(its multiple choice!)
Answers
The original image undergoes reflection across x=-3.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
In the given graph DEFG is the original image.
D'E'F'G' is the new image after the transformations applied.
A reflection is defined by the axis of symmetry or mirror line. In the above diagram, the mirror line is x = -3.
Under reflection, the shape and size of an image is exactly the same as the original figure.
This type of transformation is called isometric transformation.
Hence, the original image undergoes reflection across x=-3.
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23. Sara is playing a board game. The probability
that Sara will score a point on her next turn is
Which statement describes the probability that
Sara will score a point on her next turn?
3.
A. likely
B. certain
C. unlikely
D. impossible
PLZ PLZ PLZ HELP ME :,(
Answers
a) Simplify
X-2
7(x - 2)2
Answers
Answer:
the fist u cant simply is it will be x - 2
second is 14x-28
Step-by-step explanation:
HELP! DUE SOON!
Vivian needs to ride her bike to her friend’s house 96 miles away. She is riding at an average speed of 15 miles per hour. She has 6 hours to get there. Will she make it?
Answers
Answer:
No.
Step-by-step explanation:
If she is riding 15 miles per hour (the rate), and she has six hours (the time), then in order to find out the distance, we multiply the rate*the time.
15*6 = 90
90<96
So, no, she will not make it.
Simply (square root) 36x^3
Answers
Solve the given equation. Check your solution and show all your work. 7/10 r = 4 3/5
(this is the last question i have on my test i swear)
Answers
Answer: R= 30.1
Step-by-step explanation: 10r = 7*43/1
10r= 301/1
10r= 301
10/10
R= 30.1
Which equations matches the graph shown below ?
Answers
Answer:
its y= -0.3(x-2)^2-5
Step-by-step explanation:
How do I solve 3/2x-7=17
Answers
djehshshshwhhw
Answer:
x = 0.06 if 3 is over 2x
Step-by-step explanation:
The mean of 4 numbers is 32. If three of the numbers are 15, 21, and 75, what is the value of the fourth number?
Answers
then the numbers add to 32x4 which is 128
128-15-21-75=17
fourth number is 17
what is the area of a circle with a radius of 4 inches?
Answers
Answer: A≈50.27in²