Step-by-step explanation:
by trigonometry,
cos 30 = x/12√3 =√3/2
→ x=18
sin 30 =y/12√3=1/2
→ y=6√3
The values of x and y are 18 and 10.392 respectively.
What are the right triangles?The definition for a right triangle states that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle. In the given image, triangle ABC is a right triangle, where we have the base, the altitude, and the hypotenuse. Here AB is the base, AC is the altitude, and BC is the hypotenuse.
Given right triangle
hypotenuse = 12√3
base = x and height = y
angle of base = 30°
cosФ = b/h
cos30 = x/12√3
x = 12√3 x √3/2
x = 18
and sin30 = p/h
sin 30 = p/12√3
p = 1/2 x 12√3
p = 6√3
p = 10.392
Hence the values of x= 18 and y = 10.392.
Learn more about right triangles;
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I NEED HELP WITH 8TH GRADE MATH
Answer:
Are you doing Pythagorean theorem?
If not, what is your unit topic?
Answer:
Step-by-step explanation:
3. 17
4. 24
5. 24.21
6. 40
7. 15.81
8. 16
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
anyone please help asap!!! The theater holds 250 people last last nights performance was sold out, students under the age of 16 paid $2.50 per ticket, but everyone else in the theater paid four dollars. Last night show brought in $910 how many people were under the age of 16 and how many were older than 16 that went to the show?
Answer:
there were 60 people that are under 16 and 190 people above 16.
Mr. Cooper wet to the market looking to purchase some fried chicken meals to bring home for
dinner. In the Prepared Foods section of the market, fried chicken meals were on special $19 for 4
meals. Mr. Cooper needs 6 fried chicken meals to feed everyone at home. How much will it cost Mr.
Cooper to purchase fried chicken meals for his family?
Answer:
I don't believe there is enough information to answer the question.
Step-by-step explanation:
Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.
Answer:
$28.50
Step-by-step explanation:
19/4=4.75
4.75•6=28.50
-X + 5 = 1
What is the answer for this equation and the steps
Answer:
4
Step-by-step explanation:
-x + 5 = 1
-x = 1 - 5
-x = -4
x = 4
Is 5x and x like terms
Answer:
Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
A scale factor of 9/8 is:
an enlargement
a reduction
Answer:
an Enlargement because K>1
You are going to an amusement park over Spring Break.
The cost of admission to enter the park is $30 and the
rides are an additional $6 each. If your parents give
you $100 to spend at the amusement park, what is the
maximum number of rides you can go on?
Please show work
Please hurry in 10 minutes
Answer:
you can go on a maximum of 11 rides
Step-by-step explanation:
you first have to subtract 30 from 100 since that is the admissons fee.
So now you are left with 70 dollars.
You divide 70 by 6 since you need 6 dollars to go on each ride.
and 70 divided by 6 is 11.6666666667 but round it to 11 since that the whole number you're left with.
hope this helped :)
PLEASE HELP ⚠️⚠️
Elena began to solve this equation: 12x +6(4x + 3) = 6(6x + 4) - 6 12x + 24x + 18 = 36x + 24 - 6 when she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell without finishing?
MARKING BRAINLIEST IF YOU ACTUALLY TRY
Answer:
Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1
Step-by-step explanation:
She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given as,
12x +6(4x + 3) = 6(6x + 4) - 6
Simplify the equation, then we have
12x +6(4x + 3) = 6(6x + 4) - 6
12x + 24x + 18 = 36x + 24 - 6
36x + 18 = 36x + 18
She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.
More about the solution of the equation link is given below.
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50 points! True or false? Will mark brainliest! No random answers please :)
Answer:
true because it have no common solution
Answer: false!
Step-by-step explanation:
To be parallel, the lines have to have the same slope. The slope for line a is 5, the slope for line b is -1/5. These lines are perpendicular.
You might need:
Calculator
The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years, the
standard deviation is 0.6 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a lizard living between 2.5 and
4.3 years.
1%
Show Calculator
Report a problem
Plz HELP!!!
Answer:
Is there a picture of it so I can solve
Explain how the difference quotient ROC =
f(x+h)-f(x)/h
can be used to calculate
instantaneous rate of change. You are encouraged to use diagrams.
Answer:
f(x+h)-f(x)/h is the instanteous equation It is the tangent to the curveplease answer and fast i will mark brainliest
Answer:
B
Step-by-step explanation:
To get from 1 to 5, add 4.
To get from 3 to 7, add 4.
To get from 4 to 8, add 4.
Hope this helps!
Can anyone help me with this I need ASAP
What is the final amount if 588 is decreased by 3% followed by a 6% increase?
Give your answer rounded to 2 DP.
Answer:
604.58
Step-by-step explanation:
because hegarty says its 604.58
THE ANSWER HAS TO BE A INTEGER OR A DECIMAL. ANSWER FOR 50 POINTS.
Answer:
-2.5 ozStep-by-step explanation:
The proportion relationship is:
y = kxUsing the table we find the value of k:
-0.14 = 7kk = -0.14/7k = - 0.02For the value of x = 125, the value of y is:
125*(-0.02) = -2.5Find the value of x.
12
2x
x=
Answer:
24x
Step-by-step explanation:
i hope this is correct! c:
20 points for someone who can say answers for 1-9.. or send their work from this sheet.. please, help :(
Answer: 1) y=1/3x-1
2) y=-2/5x+0
3) y=1x+8
4) y=-3/6x+3
5) y=5/2x+1
6) y=-8/2x-5
7) y=1x+2
8) y=-2/3x-4
9) y=6/5x
Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
CONVERT
5 1/2 to and
IMPROPER
FRACTION.
Answer:
Hi There!! :-D
Step-by-step explanation:
5 1/2 as an improper fraction is 11/2.
We know that 5 x 2 is 10, and 10 + 1 is 11, therefore your answer is 11/2 !!!
Hope this helps you! ∩__∩
- abakugosimp
Express the rate as a unit.
2.75 yards of fabric for $22
9514 1404 393
Answer:
$8 /yd
Step-by-step explanation:
You probably want dollars per yard. To get that, divide dollars by yards:
$22/(2.75 yd) = $8 /yd
Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?
Answer:
a. Interest = $300
b. Payment to principal = $86.40
c. New balance = $59,913.60
Step-by-step explanation:
The monthly payment has both an interest component and a principal repayment component.
The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.
As the interest is listed in annual terms, it needs to be made a monthly rate:
= 6%/12 months
= 0.5%
Interest = 60,000 * 0.5%
= $300
Payment to principal = 386.40 - 300
= $86.40
New balance = Amount due - payment to principal
= 60,000 - 86.40
= $59,913.60
✨PLEASE HELP✨DUE SOON✨
Answer:
U know what to do go to goggle and search algebra calculate and u will see a read box and written on it Mand Min back wards like infrnity and u can write ur problem
Smallest to largest
Help!
Answer:
I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.
Step-by-step explanation:
hope this helps :P hav a fantastic day
d, 8 miles
f. 25 miles-
hi go km=
1, 75 miles: km
miles
- miles
miles
j. 112 km
miles
1
miles
m. 150 km = miles
po 200 km = miles
- km
r. lkma
miles.
Answer:
ask me some thing i under stand ur confusing
Step-by-step explanation:
dsf
What is the answer??
Answer:
The notation of the segment AB will be:
[tex]{\displaystyle {\overline {AB}}}[/tex]Step-by-step explanation:
We know that a line segment is a line of part with two endpoints.
The notation of a line segment is illustrated by a single overbar with no arrowheads over the letters representing the two endpoints.For example,
Let AB be the line segment
Here A and B are the endpoints of a part of a line.
Thus, the notation of the segment AB will be:
[tex]{\displaystyle {\overline {AB}}}[/tex]you want to organize a group of friends to go to a karaoke studio friday night. you must pay $30 to reserve a room plus $5 for each person in the group. You also want to have snacks for the group at a cost of $2 per person. how Many people can be in the group in order for the total cost to be $114
how do you solve this????
Answer: 12 people or less
Step-by-step explanation:
114≥30+5x+2x
114-30≥5x+2x
84≥7x
84/7≥7x/7
12≥x
There can be at 12 people or less who can attend the Friday night
Compare Marcella's possible earnings of Office Essentials t o her possible earning at Everything Office. If her goal is to earn $ 4,000, which company Marcella should choose ? Explain your reasoning. Show your /work
(DUE SOON I NEED HELP ASAP)
Answer:
Correct answers: Part A: Moe = 2500 + 125n and Meo = 2000 + 150n. Part B: oe: 12 machines; eo: 14 machines. Part C: 20 machines or higher.
PARCC evidence statement(s) tested: HS.D.1-1:
Solve multi-step contextual problems with degree of difficulty appropriate to the course, requiring application of knowledge and skills articulated in 7.RP.A, 7.NS.3, 7.EE, and/or 8.EE.
The evidence statement above references mainly Math Practice 4 in the Common Core:
[MP.4] Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. … By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
It may also reference other standards of mathematical practice, including MP.1 (make sense of problems and persevere in solving them), MP.2 (reason abstractly and quantitatively), and MP.5 (use appropriate tools strategically).
The question requires students’ prior understanding of the eighth-grade Common Core standard 8.EE.C, found under Expressions and Equations (analyze and solve linear equations and pairs of simultaneous linear equations), which states that they should be able to [EE.C.7] “solve linear equations in one variable” and [EE.C.8] “analyze and solve pairs of simultaneous linear equations.”
Note that the PARCC question referenced here simply uses understanding of these standards from eighth grade, considering this understanding to be securely-held knowledge. The PARCC question in Algebra 1 tests students’ ability to model with mathematics, as referenced in Math Practice 4.
Step-by-step explanation: