Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6
Answers
Answer:
x = [tex]2\sqrt{3}[/tex] , y = [tex]4\sqrt{3}[/tex] ⇒ A
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its three sides
The length of the side opposite to the angle of measure 30° is half the length of the hypotenuseThe length of the side opposite to the angle of measure 60° is half the length of the hypotenuse times [tex]\sqrt{3}[/tex]→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
In the given figure
∵ The length of the hypotenuse is y
∵ The length of the side opposite to the angle of measure 30° is x
∵ The length of the side opposite to the angle of measure 60° is 6
→ By using the ratio above
→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
→ x : 6 : y
→ By using cross multiplication
∵ x × [tex]\sqrt{3}[/tex] = 1 × 6
∴ x [tex]\sqrt{3}[/tex] = 6
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
∴ x = [tex]2\sqrt{3}[/tex]
∵ y × [tex]\sqrt{3}[/tex] = 6 × 2
∴ y [tex]\sqrt{3}[/tex] = 12
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]
∴ y = [tex]4\sqrt{3}[/tex]
Related Questions
A population of 40 rats living near a restaurant dumpster is growing at a monthly rate of 50%
Write an equation for this scenario
Answers
[(40 ÷ .5) Y] + 40
Parentheses are rat growth
Brackets are rat growth by how many years or just exclude that and the brackets if you don't need to know how many years are there are
The 40 is the amount of rats already there
Growth of rats plus the amount already there.
I'm probably wrong lol
The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
(7, 9)
(–7, 9)
(9, 7)
(9, –7)
Answers
Answer:
c
Step-by-step explanation:
Using translation concepts, it is found that the point (0, 0) on the graph of f(x) corresponds to point (7, 9) on g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
here, we have,
Considering the translations, the equivalent point is found as follows:
x -7 = 0 -> x =7.
y = 0 +9-> y = 9.
Hence the point (0, 0) on the graph of f(x) corresponds to point (7,9) on g(x).
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ6
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
Answers
Answer:
39
Step-by-step explanation:
Question 2 What is the slope and y intercept of 4x + 6y = -20?
Answers
Answer:
Slope is -2/3. The y - intercept is -10/3.
Step-by-step explanation:
Simplify the equation by using division property of equality.
how to solve?
x(8-4x)÷3?
Answers
Answer: 8x-4x^2/3
Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?
Answers
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9
Answer:
Step-by-step explanation:
find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer
3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?
Answers
Answer:
23
Step-by-step explanation:
WHOEVER GETS IT RIGHT FIRST WILL BE CHOSEN THE BRAINLIEST!!
Answers
Answer:
C x=12
Step-by-step explanation:
x - 17 = -5 add seventeen to both sides
x = 12
What is the slope of the line passing through the points (2, −5) and (4, 1)?
3
54
−45
2
Answers
Answer:
3
Step-by-step explanation:
Use the diagram to find the value of a. The parallel lines are marked
Answers
Answer:
Where is the diagram
Step-by-step explanation:
Thank you for the extra points
Solve for c in the proportion.
Answers
Answer:
c = 3
Step-by-step explanation:
you have to multiply then divide
9 × 1 = 9
then divide...
9 ÷ 3 = c = 3
there you have it, folks
PLEASE HELP, DUE SOON!! What is the value of x?
(5x)
3x + 18)
Answers
Answer:
x=9
Step-by-step explanation:
5x=3x+18
subtract 3x
2x=18
x=9
Answer:
[tex]15^2+90x[/tex]
Step-by-step explanation:
Solve 9.1r - 4. lr - 14= -34
Answers
Answer:
Step-by-step explanations:
A number increased by 14?
Answers
Answer:
need the options
Step-by-step explanation:
m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'
Answers
Answer:
Please make me brain list
Step-by-step explanation:
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answers
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
Sadie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -6.2°F. Between 9am and noon, the temperature increased by 2.6°F. Between noon and 3pm, the temperature dropped 18.6°F. Between 3pm and 6pm, the temperature dropped 6.5°F. What was the temperature at 6pm
Answers
Answer:
-28.7
Step-by-step explanation:
-6.2 + 2.6 = -3.6 - 18.6 = -22.2 - 6.5 = -28.7
Hopefully I did this right, reply if you have any corrections or questions!
What is 20 x 20 10 points it know
Answers
Answer:
400
Step-by-step explanation:
20*20 = 400
Answer:
20 x 20 is 400
Step-by-step explanation:
Which of the following is equivalent to the inequality shown below?
4x + 0.9 ≥ 0.1
4x + 9 ≥ 1
4x + 9 ≥ 1
40x + 9 ≥ 1
40x + 9 ≥ 1
40x + 90 ≥ 10
40x + 90 ≥ 10
40x + 90 ≥ 1
Answers
Answer:
[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]
Step-by-step explanation:
Given inequality : [tex]4x + 0.9 \geq 0.1[/tex]
We are supposed to find Which of the following is equivalent to the inequality
[tex]4x + 0.9 \geq 0.1[/tex]
[tex]\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}[/tex]
Multiply both sides by 10
[tex]\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)[/tex]
[tex]\Rightarrow 40x+9 \geq 1[/tex]
[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]
So, Option B is true
B) [tex]40x+9 \geq 1[/tex]
What is the area of 10 length and a 3.5 width
Answers
Answer:
35
Step-by-step explanation:
The formula for area is length x width, so we multiply 10 x 3.5, which equals 35.
Hope this helps :)
What is X if f(x) = -15?
Answers
Answer:
it 4 dude im pretty sure
Step-by-step explanation:
5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?
Answers
A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks. If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?
Answers
Answer:
20 chairs
Step-by-step explanation:
Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.
800 = 320 + 24s ... subtract both sides by 300
500 = 24s ... divide both sides by 24
20.83 = s
Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.
Answer:
The librarian can buy a maximum of 20 chairs to stay within the budget.
Step-by-step explanation:
The total budget is:
T = 800
From that budget, he spends 320 on desks (D), so he has the remaining amount to buy chairs (C):
[tex] C = 800 - 320 = 480 [/tex]
Since each chair costs 24, and he has 480 he can buy the following number of chairs:
[tex] n = \frac{C}{24} = \frac{480}{24} = 20 [/tex]
Therefore, the librarian can buy a maximum of 20 chairs to stay within the budget.
I hope it helps you!
How do I find the missing side with the Pythagorean theorem?
Answers
Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.
Step-by-step explanation:
Members of Beta Club are selling candy bars to raise money. The club sponsor uses the following equation to calculate the amount of profit, "p" made from selling "n" candy bars. p = 2.50n - 200. How many candy bars must be sold to make a profit of 1500?
Answers
Answer:
680 candy bars must be sold
Step-by-step explanation:
2.5 times 680 equals 1700 that minus 200 is 1500.
formula of trigonometric ratios
Answers
Answer:
Basic Formulas
sin θ = Opposite Side/Hypotenuse.
cos θ = Adjacent Side/Hypotenuse.
tan θ = Opposite Side/Adjacent Side.
sec θ = Hypotenuse/Adjacent Side.
cosec θ = Hypotenuse/Opposite Side.
cot θ = Adjacent Side/Opposite side.
Hope this helps :)
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Formula for trignometric ratios.[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
The trignometric ratios are [tex]\downarrow[/tex][tex]\downarrow[/tex]
[tex]\begin{gathered}\begin{gathered}\begin{array}{||c|c|c||} \\ \rm sin \: A & \dfrac{\sf\:Opposite\: side\: of\: angle\: A }{\sf\:Hypotenuse \: } & \dfrac{\sf\:BC}{\sf\:AC} \\ \\ \rm cos \: A & \dfrac{ \sf\: Adjacent \:side \:of\: angle \:A }{\sf\: Hypotenuse} & \dfrac{\sf\: AB}{ \sf\: AC} \\ \\ \rm tan A & \dfrac{\sf\: Opposite \:side \:of \:angle\: A}{ \sf\: Adjacent \:side \:of \:angle \:A } & \dfrac{\sf\:BC}{ \sf\: AB}\\ \\ \rm cosec A & \dfrac{\sf\: Hypotenuse}{\sf\: Opposite\: side \:of\: angle\: A}& \dfrac{\sf\:AC}{ \sf\:BC } \\ \\ \rm sec A & \dfrac{\sf\: Hypotenuse}{ \sf\: Adjacent \:side\: of\: angle \:A}& \dfrac{\sf\:AC}{\sf\:AB}\\ \\ \rm cot A & \dfrac{\sf\: Adjacent \:side\: of \:angle \:A}{\sf\: Opposite\: side \:of\: angle\: A} & \dfrac{\sf\:AB}{ \sf\: BC} \end{array}\end{gathered}\end{gathered} \\ \\ - \bf \: Lucazz \: (brainly.com)[/tex]
~~~
Refer to the picture for better understanding.what is (0.6)(-2.5)?
Answers
Answer:
The correct answer is
-1.5
Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine
which of the following intervals has the greatest average rate of change for the cost to
produce tires.
A
Between 2 and 4 tires
B
Between 46 and 48 tires
C
Between 12 and 14 tires
D
Between 22 and 24 tires
Answers
Answer:
Option (A)
Step-by-step explanation:
Function to represent the cost of producing 't' tires is,
C(t) = -0.45t² + 12t + 450
Since average rate of change of the function in the interval (a, b) is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Following this rule,
Average rate of change in the interval (2, 4)
= [tex]\frac{C(4)-C(2)}{4-2}[/tex]
= [tex]\frac{490.8-472.2}{4-2}[/tex]
= 9.3
Average rate of change in the interval (46, 48)
= [tex]\frac{-10.8-49.8}{2}[/tex]
= -30.3
Average rate of change in the interval (12, 14)
= [tex]\frac{529.8-529.2}{2}[/tex]
= 0.3
Average rate of change in the interval (22, 24)
= [tex]\frac{478.8-496.2}{24-22}[/tex]
= --8.7
Average rate of change is greatest in the interval (2, 4)
Option (A) will be the answer.
Answer:
Average rate of change is greatest in the interval (46. 48)
Step-by-step explanation:
Average rate of change in the interval (2, 4)
= 9.3
Average rate of change in the interval (46, 48)
= -30.3
Average rate of change in the interval (12, 14)
= 0.3
Average rate of change in the interval (22, 24)
= --8.7
I did the algebra CFU and I got it correct so trust me ;)
which rational number is between -7.06 and -7.1?
Answers
Answer:
-7.07.
Step-by-step explanation:
because it's between those numbers
Which number line shows the graph of 0.3
Answers
Answer:
im dumb im sorry but u can look it up
Step-by-step explanation: