Hello! Could someone please help explain how to solve this to me please and an answer would be nice! Thanks! :)
Answers
if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.
Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means
\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)
Related Questions
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
Answers
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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The corporate team-building event will cost $833 if it has 49 attendees. If there are 72
attendees, how much will the corporate team-building event cost? Assume the relationship is
directly proportional.
Answers
The corporate team-building event will cost $1224 if there are 72 attendees.
Given, the corporate team-building event will cost $833 if it has 49 attendees.
We have to find the cost if there are 72 attendees,
So, according to the question
49 attendees = $833
1 attendee = 833/49
72 attendees = 72×833/49
72 attendees = 1224
Hence, the corporate team-building event will cost $1224 if there are 72 attendees.
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find the slope and y-intercept of line 3x +y -9=0
Answers
Answer:
x-intercept(s):(3,0)
y-intercept(s):(0,9)
Step-by-step explanation:
What is the distance between the points (4,7) and (4, -5)
Answers
Hope this helps!
Answer: It is 12
Step-by-step explanation:
.
Name the property the equation illustrates.
7 + (4 + 4) = (7 + 4) + 4
Answers
If and is in , find cos
Answers
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
For the diagram shown, x = 80 and y = 30. Determine the value of z.
A) 20
B) 40
C) 50
D) 100
Answers
Answer:
The answer is C
Step-by-step explanation: if x=80 and y=30 that means z would equal 50. All you have to do is subtract 30 from 80. :)
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Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (3, 0); the y-intercept is (0, –2).
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (0, 6); the y-intercept is (–9, 0).
The x-intercept is (0, 3); the y-intercept is (–2, 0).
Answers
Answer:
The correct answer is (second option):
The x-intercept is (6, 0); the y-intercept is (0, –9).
Step-by-step explanation:
Intercepts of a real function
Given a function y=f(x), the x-intercepts of f are those values of x that make y=0. The y-intercepts are those values of y that make x=0.
Our function is:
3x - 2y = 18
To find the x-intercept(s), we set y=0:
3x - 2(0) = 18
3x = 18
Solving:
x = 18 / 3 =6
The x-intercept is the point (6,0)
Now for the y-intercept(s), we set x=0:
3(0) - 2y = 18
-2y = 18
Solving:
y = 18 / (-2) = -9
The y-intercept is the point (0,-9)
The correct answer is (second option):
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (6, 0); the y-intercept is (0, –9).
Two men shared the cost of
business in the ratio 3 : 5. If the
smaller share is N450.00, find the
total cost of the business.
Answers
Answer:
if 3 is smallest and it ratio is 450 that means 450/3=150
5*50=750
3:5
450+750=1200
1. Reducing the original price of an item is often called
discounting
selling
bartering
originating
Answers
what is 0.16 (6 repeating) as a simplified fraction? pls hurry, ty
Answers
Answer:
1/6.
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.1666666 (6 repeating) is 1/6
Smaller p-values indicate more evidence in support of the: A. the reduction of variance B. null hypothesis C. quality of the researcher D. alternative hypothesis
Answers
Answer:
A. the reduction of variance
Step-by-step explanation:
If the p bakue gets smaller, the smaller the p- value the stronger the evidence that we can or we should totally reject and not accept the null hypothesis.
Id the p value is lower, the result is trumpeted as significant, but if higher,it is not significant.
So Smaller p-values indicate more evidence in support of the the reduction of variance
Pauline wants to sell stainless steel water bottles as a school fundraiser.
She knows that she will maximize profits, and raise $1024, if she sells
the bottles for $28 each. She also knows that she will lose $4160 if she sells the bottles for only $10 each.
Write a quadratic relation to model her profit, P, in dollars, if she sells the bottles for x dollars each.
Answers
Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024
What is the volume of this rectangular prism 2, 7/3, 2
Answers
Answer:
The volume V of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height, respectively.
In this case, we have l = 2, w = 7/3, and h = 2. Therefore, the volume is:
V = (2)(7/3)(2)
V = 28/3
V = 9.33 (rounded to two decimal places)
So the volume of the rectangular prism is approximately 9.33 cubic units.
In a sequence if Tn = 5n² - 4 What is the sum of the 5th and 7th terms?
a)121
b)244
c)365
d)367
Answers
Answer:
d)367
Step-by-step explanation:
Given, Tn = 5n² - 4
To find the 5th term, substitute n = 5 in the equation Tn = 5n² - 4
T5 = 5(5)² - 4
T5 = 121
To find the 7th term, substitute n = 7 in the equation Tn = 5n² - 4
T7 = 5(7)² - 4
T7 = 241
Therefore, the sum of the 5th and 7th terms = T5 + T7 = 121 + 241 = 362.
Hence, the correct option is (d) 367.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
Applying the sine rule the value of side w is calculated to be 6.2
How to find the size of wThe size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal
the formula is
Sin A / a = Sin B / b = Sin C / c
applying the formula for the problem
Sine W / w = Sine X / x
plugging in the values
Sine 38 / w = Sine 84 / 10
cross multiplying
w = 10 x Sin 38 / Sine 84
x = 6.185
x = 6.2 to the nearest tenth
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Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Answers
is 2k(2k-4) odd or even?
Answers
Answer: Even
Step-by-step explanation:
Because it shows that the is 2k
the even numbers 2k+2,2k+4,...,4k,4k+2
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answers
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
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When a number is divided by 9, and the remainder is 6. What is the
remainder when six times this number is divided by 9?
Answers
Answer:
9x + 6
Step-by-step explanation:
SOLUTION GIVEN: a number is divided by 9 and the remainder is 6,
TO DETERMINE: The remainder when six times the number is divided by 9
EVALUATION: Here it is given that the number is divided by 9 & the remainder is 6
We know that Dividend = Divisor × Quotient + Remainder
By the given Divisor = 9
Remainder = 6
Let quotient = x
Then the number = Dividend = 9x + 6
If 18,x+15,27 and 2x+7 are in proportion,find the value of x
Answers
Step-by-step explanation:
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IF FGH = QRS, find the measure of
Answers
Answer:
x=9 which makes angle q 28 degrees
Step-by-step explanation:
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what scale factor was used for this dilation
Answers
By taking a quotient between correspondent side lengths, we will see that the scale factor of the dilation applied to the quadrilateral is S = 4.
What is the scale factor of the dilation?The scale factor of the dilation is given by the quotient between the length of one of the sides of the dilated figure and the length of the correspondent side of the original figure.
Here the original figure is the smaller quadrilateral, and the dilated figure is the larger one
If we select the top side, the length on the dilated figure is 72 inches, and the length of that side on the original figure is 18 inches, then the scale factor of the dilation is given by:
S = 72in/18in = 4
The scale factor of the dilation is 4.
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Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answers
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
In parallelogram WXYZ, m∠W=38°.
What is m∠Z ?
Answers
From the given information, m∠W = 38°. Since all the angles in a parallelogram add up to 360°, m∠Z must be equal to 360° - 38° = 322°. Therefore, m∠Z = 322°.
The measure of angle z is 65 degrees in the given parallelogram.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.
In the given figure angle W and angle Z are supplementary angle. So,
m∠W+m∠Z=180
18b-11+9b+2=180
Add the 30770208
27b-9=180
Add 9 on both sides
27b=189
Twenty seven times of b equal to one hundred eighty nine
Divide both sides by 27
b=189/27
Divide numerator and denominator by 27
We get b=7
Now m∠Z=9b+2
Now let us plug in the value of b in the angle z.
=9(7)+2
When nine is multiplied with seven we get sixty three.
=63+2
=65 degrees
Hence, the measure of angle z is 65 degrees in the given parallelogram.
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The parabola y=√x-4 (principal square root) opens: down left Right up
Answers
The parabola \(y = √(x - 4)\) opens upward.
The parabola y = √(x - 4) represents the square root function of x minus 4. To determine the direction in which the parabola opens, we examine the behavior of the square root function.
The square root function (√x) returns non-negative values for non-negative inputs. Since the expression inside the square root, (x - 4), must be non-negative for real solutions, we have x - 4 ≥ 0. Solving this inequality, we find x ≥ 4.
This means that the parabola is defined for x values greater than or equal to 4. As we increase x from 4, the value of √(x - 4) will also increase. Therefore, the graph of the parabola opens upward.
The parabola \(y = √(x - 4)\) opens upward.
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At the beginning of 2002, an ice cream shop claimed to have "nearly 1,020 different ice cream flavors." Assuming that you could choose from 1,020 different flavors, that you could have your ice cream in a cone, a cup, or a sundae, and that you could choose from a dozen different toppings, how many different desserts could you have?
Answers
Answer:
36720 different desserts
Step-by-step explanation:
(1020x3)x12=36720
Please help! i have no clue what the answers are!
Answers
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
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1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer
Answers
Answer: a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
Answers
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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