3(x+y)=y
y is not equal to zero
*Solution
1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,
3(x+y) = y
3x + 3y = y
Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give
3x = -2y
Dividing both sides of the equation by 3,
x = (-2/3)y
Dividing both sides of the equation by y,
x/y = -2/3
Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.
QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.
Answer:
the other sides are 6 and 3√3
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Right Triangle
We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.
The triangle is shown in the figure attached.
The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:
[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]
Solving for y:
[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]
Since:
[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]
[tex]\displaystyle y=3\sqrt{3}[/tex]
Now applying the sine to find the hypotenuse x:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]
x = 6
Evaluate: (2.3)2
I need help fast !!!!!!!!!!!!!!!!
Answer:
4.6???
Step-by-step explanation:
Answer: 4.6
(2.3)2
2.3+2.3 = 4.6
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
the product of two number is 20 and the sum of square is 41 find the number
Answer:
Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.
help I'm confused there are many formulas, and do not know which one is right
9514 1404 393
Answer:
384 cm²
Step-by-step explanation:
It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.
__
Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.
The formula for the area of a square is ...
A = s² . . . . . where s represents the side length
Here, the side of the square is 12 cm, so the area of the square base will be ...
A = (12 cm)² = 144 cm²
__
The formula for the area of a triangle is ...
A = 1/2bh . . . . . where b is the base length and h is the altitude
In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.
Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.
In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:
slant height = √(8² +6²) = √100 = 10 . . . . cm
Now, we can find the area of one of the four triangular faces:
A = (1/2)(12 cm)(10 cm) = 60 cm²
__
The surface area of the pyramid is then ...
surface area = base area + 4 × triangular face area
surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²
surface area = 384 cm²
In hopes of encouraging healthier snacks at school, Josie brought in a tray of carrot sticks and apple slices to share. The tray had a total of 60 snacks, of which 70% were carrot sticks. How many carrot sticks did Josie bring?
a frame holds a picture that is 15 inches long and x inches wide. The frame border is 3 inches wide around the picture. what expression represents the are of the frame border
9514 1404 393
Answer:
border area = 6x +126
Step-by-step explanation:
The dimensions of the picture with its frame will be ...
(15 +2×3) long by (x +2×3) wide
The border area is the difference between the picture overall frame area and the picture area:
border area = (15+6)(x+6) -(15x) = 21x +126 -15x
border area = 6x +126
Answer:
hvjv
Step-by-step explanation:
An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP
Answer:
18 inches.
Step-by-step explanation:
Let x inches be the altitude of the triangle.
By Pythagoras Theorem,
[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2
108 + x^2 = 432
x^2 = 324
x = 18
So the altitude of the triangle is 18 inches.
help asap:)! i will give brainliest
2/3 is the correct answer
Help plis plis
18. Find the sum of (x + 3) and
(- x - 4).
Help plis
Answer:
-1...................
Step-by-step explanation:
x+3-x-4
o-1
-1
Answer :
-1
Explanation:
please mark me brainliest and follow me my friend.
A diver went 3 feet below the surface of the water and tagged a rock with a flag, and then went down an additional 2 feet to tag another rock.
Which number line is a correct representation of the distance between the two flags?
A.
B.
C.
D.
Answer:
its . B
Step-by-step explanation:
becuse i took the test -x-
hoped it helped
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
Which of number below are whole numbers
Answer:
D and F
Step-by-step explanation:
Numbers such as 0,1,2,3 etc are Whole numbers
Answer:
Your answer is D and F
Step-by-step explanation:
because only 951 and 3 are the numbers with no points and whole numbers require this..
HOPE THIS HELPS YOU
PLS MARK AS BRAINLIEST
How to Simplify (7x+2)+(x+8)-2x
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?
Answer:
Step-by-step explanation:
In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.
Which operation should you perform first in the expression 12x4 to the 2 power
Answer:
96
Step-by-step explanation:
12 times 4 gets you 48
48 times 2 gets you 96
9.66 rounded to 1 decimal place
Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
please mark brainelist!!!
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08
How many 1/3 are in 2 2/3
Answer:
8/3
Step-by-step explanation:
You have to count each third and eventually you would get 8/3.
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
PLEASE I NEED HELP RIGHT NOW PLZZZ!!!
Answer:
A.elastic potential energy I Hope It HelpsThe table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14
Answer:
18
Step-by-step explanation:
Can someone who is smart in math help please algebra one
Answer:
I'm not sure but y=1 may be the answer
Answer: (0,1)
Step-by-step explanation:
Students were asked to choose their favorite sport
and 5/9chose either basketball or soccer. If 1/9 of the
students chose basketball, what fraction chose
soccer?
Answer:
5/9-1/9=4/9
Step-by-step explanation:
5/9 chose basketball or soccer. 1/9 chose basketball.
answer is 4/9A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers represent the elevation of prey below the chameleon. The chameleon spots a fly at 4 \text{ m}4 m4, start text, space, m, end text and a grasshopper at -6\text{ m}−6 mminus, 6, start text, space, m, end text. What does an elevation of 0 \text{ m}0 m0, start text, space, m, end text represent in this situation?
Answer:
B: The elevation of the chameleon
Step-by-step explanation:
The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)
Also,
The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)
ඞHope this helps u because i got dis question from Khan Academyඞ
A baby weighs 8 pounds. How many kilograms is it equal to?
Explain your reasoning. Note: 1 pound equals 0.45 kilograms.
Please hurry
Answer:
3.6
Step-by-step explanation:
if 0.45 is 1 pound then you could do 8 x 0.45 because the baby is 8 pounds
Please help me guys
2+2
Answer:
Step-by-step explanation:
2 plus 2 is four (4)
Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?
Answer:
16.05
Step-by-step explanation:
first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer
Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE
Answer:
Step-by-step explanation: You have to add the number
420
+77
497
A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120
Answer:
ne hamla que estas no habla espanol
Step-by-step explanation:
que