Answers
Answer:
[tex]\fbox {x = 6 and y = 12}[/tex]
Step-by-step explanation:
Taking the tan and cos values to find x and y :
tan 60° = √3 = 6√3/x⇒ x = 6cos 30° = √3/2 = 6√3/y⇒ y = 12Answer:
x = 6 and y = 12
Step-by-step explanation:
30-60-90 Triangle Theorem
A special right-angled triangle where:
Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2Therefore, the formula for the sides is b : b√3 : 2b where:
b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angleThe given triangle is a 30-60-90 triangle, therefore the ratio of its sides is b : b√3 : 2b
We have been given the measure of the side opposite the 60° angle.
⇒ b√3 = 6√3
So b = 6
Therefore, substituting the found value of b into the formula, the sides are in the ratio: 6 : 6√3 : 12
⇒ x = 6 (shortest side)
⇒ y = 12 (longest sides)
Learn more here:
https://brainly.com/question/27942542
Related Questions
The table shows the prices of different sizes of containers of vegetable oil.
A 3-column table with 3 rows. Column 1 is labeled Container size with entries 16 ounces, 24 ounces, 48 ounces. Column 2 is labeled Price with entries 4 dollars and 64 cents, 6 dollars and 24 cents, 16 dollars and 32 cents. Column 3 is labeled price per ounce with entries 29 cents, 26 cents, 34 cents.
Tony needs to purchase 3,600 oz of vegetable oil for his catering business. For the containers shown in the table, how much would he save by purchasing those with the lowest unit price than those with the highest unit price?
Total amount at lowest price:
Total amount at highest price:
Amount saved:
Answers
The total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The table is in the picture, please refer to the picture.
Tony needs to purchase 3,600 oz of vegetable oil for his catering business.
Lowest unit price = 26 cents per ounce
Total price at this rate = 3600×26 = 93600 cents = $936
The highest unit price = 34 cents per ounce
Total price at this rate = 3600×34 = 122400 cents = $1224
Total saving he purchases the container that has the lowest unit price:
= 1224 - 936
= $288
Thus, the total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Our school store buys a shipment of 1000
pencils for $65. If we sell each pencil for
10 cents, what is the markup percentage
of each pencil?
A. 28%
C. 54%
D. 65%
B. 43%
Answers
Answer:
54%
Step-by-step explanation:
65 / 1000 = 0.065. 0.10 / 0.065 = 1.538, so the markup would be C, 54%.
if 13n-6 = 98 what is the value of n
Answers
Answer:
n = 8
Step-by-step explanation:
13n-6 = 98
Solution:
13n = 98+613n = 104n = 104/13n = 8Hence the value of n is 8.
13n - 6 = 98
13n = 98 + 6
13n = 104
n = 104/13
n = 8
Hurrry 100 points both in elimination solving show your work
1) 7x - 9y =-30
-3x - 6y = 3
2) 3x +2y =9
2x +6y=6
Answers
Answer:
2
Step-by-step explanation:
6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.
Answer:
[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]
Step-by-step explanation:
[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]
please give me answer friend
Answers
Answer:
90°
Step-by-step explanation:
right angle - 90°
.....
Answer:
65
Step-by-step explanation:
Ted is trying to change 0.43 to a fraction. Evaluate teds method so far
Answers
Step-by-step explanation:
[tex] = 0,43[/tex]
[tex] = \frac{0,43}{1} [/tex]
[tex] = \frac{0,43}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{43}{100} [/tex]
which statement is true about the function?
Answers
The correct answer is option D which is the function is even because of its symmetry about the y-axis.
What is even function?The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.
Given function:-
f(x) = 3x⁴+2x²
Now put the value x = -x in the function
f(-x) = 3( -x⁴)+2(-x²)
f(-x) = 3x⁴ + 2x²
f(-x) = f(x)
here we can see that when we put the value of negative x the function remains unchanged.
Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.
To know more about even functions follow
https://brainly.com/question/12207506
#SPJ1
Carter paid $201.75 for a camera and a memory card. if the 32 gb memory
card costs $12.35, and a discount of 20% is given to the camera, find the
regular price of the camera. estimate it to the nearest whole number.
Answers
The regular price of the camera is $227.
Given that, the total amount paid=$201.75 and the cost of the memory card=$12.35.
Cost of camera=201.75-12.35=$189.4
What is a discount?A discount is a deduction from the usual price of something. To discount means to deduct an amount from the price.
Discount is given to the camera=20%.
The regular price of the camera=189.4+20% of 189.4
=189.4+0.2×189.4=189.4+37.88=$227.28
The estimation to the nearest the whole number is $227.
Therefore, the regular price of the camera is $227.
To learn more about discount visit:
https://brainly.com/question/3541148.
#SPJ1
answer
yes do it your self
The circuit is working, and all three bulbs are lit. If a switch at A is opened,
what will happen to the circuit?
•
A. All three bulbs will stay lit
B. All three bulbs will go out.
C. Bulbs 1 and 2 will go out, but bulb will remain lit.
D. Bulb 1 will go out, but bulbs 2 and 3 2 will remain lit.
Answers
Answer:
B.
Step-by-step explanation:
Since all bulbs are connected in series, by opening switch A, you break the series connection, and all bulbs go out.
Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
How many
pushups can you do
days does melanie exercise
bones are in the human body
pounds are in a kilogram
Answers
The statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
What are statical questions?It should be noted that statistical or research questions are the questions that an individual seeks answers to.
In this case, the statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
Learn more statistics on:
brainly.com/question/26153006
#SPJ1
Answer: 2. How many pushups can you do
I got 100% on my online homework and here is proof.
Please mark me brainliest : D
Which output in this table is incorrect
Answers
Answer:
B
Step-by-step explanation:
This is quite a trial and error question.
Given from the table
$1 cost of item = $0.08 tax on item
$2 cost of item = ($0.08x2) tax on item = $0.16 tax on item
$3 cost of item = ($0.08x3) tax on item = $0.24 tax on item
$8.50 cost of item = ($0.08x8.50) tax on item = $0.68 tax on item
$10 cost of item = ($0.08x10) tax on item = $0.80 tax on item
The only one that is different is the incorrect value therefore $0.64 is the incorrect one.
The least common denominator of 5/6, 2/3, and 3/5 is:
Answers
Answer:
30
Step-by-step explanation:
Please help with a good explanation
Answers
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of values matches the equation and includes only viable solutions?
Answers
The table that matches the equation is:
Time Calories
-20 -110
-10 -55
-15 - 82.50
-5 -27.50
What is the correct table?The correct table would contain values that are multiples of 5.5t
For example:
Total calories burned at 20 seconds : 5.5 x 20 = 110
Total calories burned at 10 seconds : 5.5 x 10 = 55
Total calories burned at 15 seconds : 5.5 x 15 = 82.50
Total calories burned at 5 seconds : 5.5 x 5 = 27.50
Please find attached the complete question. To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ1
Answer:
The 2nd one
Step-by-step explanation:
its the right one
Translate this sentence into an equation. the product of jenny's height and 4 is 52.
Answers
Answer:
4J = 52
Step-by-step explanation:
If Jenny's height is J:
4J = 52
Select the correct answer.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.
Answers
The __________ is the process of posing and answering research questions using controlled techniques that include systematic, orderly observation and the collection of data.
Answers
Answer:
Scientific Method:
Step-by-step explanation:
Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.
i hope this
What must be the value of x so that lines a and b are parallel lines cut by transversal f? 10 20 22 32.
Answers
Answer: Option 3 or C. 22
Step-by-step explanation:
I got the answer correct on Edge 2022 quiz. Trust me the answer is correct I screenshot it using the prt sc key then uploaded it. The proof is in the pic below. :)
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)
Answers
Answer:
(5, 20)
Step-by-step explanation:
(15-10)-(14+12+ (8+5)
Answers
Answer:
-34
Step-by-step explanation:
Remove all brackets by multiplying the existing math signs then take it from there
(15-10)-(14+12+ (8+5)
5 - (14 + 12 + (8 + 5)
5 - (14 + 12 + 13)
5 - 39
-34
Find the least common denominator for these
two rational expressions.
8
-9
3a²
-
a
Answers
The common denominator is 3a²
The radius of the water well is 2r inches. Find the area of the water well.
Answers
The area of the water well is [tex]4\pi r^2[/tex]
How to determine the area?The radius is given as:
Radius, R = 2r
The area of the water well is calculated using:
[tex]A = \pi R^2[/tex]
This gives
[tex]A = \pi (2r)^2\\\\\\[/tex]
Evaluate the expression
[tex]A = 4\pi r^2[/tex]
Hence, the area of the water well is [tex]4\pi r^2[/tex]
Read more about area at:
https://brainly.com/question/24487155
#SPJ1
What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)
Answers
Answer:
a₁₇ = - 3
Step-by-step explanation:
substitute n = 17 into the nth term rule
a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3
Step-by-Step Explanation:
=> an = 77 + (n - 1)(-5)
Therefore,
=> a = 77
=> d = -5
=> n = 17
Substitute Values in the Formula :-
an = a + (n - 1)(d)
an = 77 + (n - 1)(-5)
a17 = 77 + (17 - 1)(-5)
a17 = 77 + 16(-5)
a17 = 77 - 80
=> a17 = -3
Hence, the 17th Term of the A.P is -3
5
·?
16. Which of the following is equivalent to 49
05-7²
O 5(7²)
O 5(72)
1
5(7²)
O
Answers
Step-by-step explanation:
[tex] = 49[/tex]
[tex] = 7 \times 7[/tex]
[tex] = {7}^{1 + 1} [/tex]
[tex] = {7}^{2} [/tex]
What will be the percentage of profit per annum by which Tk.13000 will be Tk.18850 as profit-principal in 5 years?
Answers
The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
What is simple interest?It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.
We have given:
The principal amount, P = Tk 13000
Final amount A = Tk 18850
Number of years n = 5 years
Rate = r
I = A - P
I = 18850 - 13000 = Tk 5850
I = Pnr
5850 = 13000(5)(r)
r = 0.09
r = 9%
Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ1
PLEASE HELP
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 11 pounds is 16.50 dollars
B. 28 pounds is 44 dollars
C. 10 pounds is 15 dollars
D. 23 pounds is 34.50 dollars
Answers
Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.
To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:
A. 11 pounds is 16.50 dollars:
To check this, we can multiply 11 pounds by the conversion rate:
11 pounds * (3 dollars / 2 pounds) = 16.50 dollars
This statement is correct.
B. 28 pounds is 44 dollars:
Using the same calculation:
28 pounds * (3 dollars / 2 pounds) = 42 dollars
This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.
C. 10 pounds is 15 dollars:
Again, applying the conversion rate:
10 pounds * (3 dollars / 2 pounds) = 15 dollars
This statement is correct.
D. 23 pounds is 34.50 dollars:
Using the conversion rate:
23 pounds * (3 dollars / 2 pounds) = 34.50 dollars
This statement is correct.
For such more question on dollars
https://brainly.com/question/30057220
#SPJ8
can someone please help mee(20 points and i will give brainliest!!!)
Answers
Answer:
(5,2)
Maximum
5
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\texttt{\:Coordinates of vertex = (5,2)}[/tex]
[tex]\texttt{The graph has a maximum} [/tex]
[tex]\tt \: Axis\:\: of \:\; symmetry : x = 5\ [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Coordinate of vertex is the point where there's a unique (only one) value of y for x :
[tex]\qquad \tt \rightarrow \: (5,2)[/tex]
Since it's a downward parabola, it doesn't have defined minima, as it's value reach [ - infinity ]
and hence, it has a maximum, at the vertex.
Axis of symmetry is the line that divides the parabola into two equal regions that are mirror images of each other.
it is the line passing through vertex and parallel to y - axis.
[tex]\qquad \tt \rightarrow \: x = 5[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If you vertically stretch the cubic parent function, f(x) = x3, what is the
equation of the new function?
Answers
The recursive formula for an arithmetic sequence is:
a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4
Answers
Answer:
D. -4
Step-by-step explanation:
a1 is the first term.
a1 = -10
an = an-1 + 3
The recursive formula means that each term after the first term is 3 more than the previous term.
a2 = a1 + 3 = -10 + 3 = -7
a3 = a2 + 3 = -7 + 3 = -4
please help me with my math
Answers
Answer:
x = 115
z = 27
Step-by-step explanation:
x + 65 = 180 (same side interior angles)
x = 115
x = 3z +34 (alternate interior angles)
115 = 3z + 34
3z = 81
z = 27
Step-by-Step Solution:
We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.
So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)
First solve Equation 1 :-
x + 65 = 180
x = 180 - 65
=> x = 115
Therefore, x = 115.
Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.
Substitute value of ‘x’ in Equation 2 :-
3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27
Therefore, z = 27.
Now we have the required answers.
Hence, x = 115 and z = 27.
