Answer:
24 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )
Here A = 16[tex]\sqrt{3}[/tex] , then equating gives
[tex]\frac{s^2\sqrt{3} }{4}[/tex] = 16[tex]\sqrt{3}[/tex] ( multiply both sides by 4 to clear the fraction )
s²[tex]\sqrt{3}[/tex] = 64[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
s² = 64 ( take square root of both sides )
s = [tex]\sqrt{64}[/tex] = 8
Thus
perimeter = 3 × 8 = 24 cm
y/5-2=-7 what is the solution of the equation.
Answer: mg they left u hanging for some time here hol up,
y=−25
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y/5-2-(-7)=0
y/5
(y/5 - 2) - -7 = 0
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 = 2/1=2.5/5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
y - (2.5/5 5)=y - 10
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
y+25
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
y+25 = 0
4.2 Solve : y+25 = 0
Subtract 25 from both sides of the equation :
y = -25
What is 1/5 as a percentage and decimal?
Answer:
1/5 as a percentage:
1/5*100
1/1*20
20/1
20%
1/5 as decimal:
(JUST SIMPLY DIVIDE 1/5)
0.2
Answer:
20% and 0.20
Step-by-step explanation:
Let's say 5/5 = 100, so then in order to convert 1/5 into a percentage, all you have to do is divide 100 by 5, and that will be your percentage:
100 / 5 = 20
So, 1/5 = 20%
Now, as a decimal its basically the same thing, but instead of thinking of it as 100, you think of it as 1.00, and then your decimal form of 1/5 will be 0.20
Hope this helps :)
PLSSS FAST
3x 300
x = 10
x = 100
X =
100
x = 297
Answer:
x=100
Step-by-step explanation:
1. What are two other names
for XY?
Answer:
1.
(x,y)---Ordered Pair of a point in two dimensional plane
x=Abscissae
y=Ordinate
2.
xy--Two Dimensional Plane
or xy-Plane
3.
xy----Monomial , that is a single term having
Step-by-step explanation:
There is only one line that can pass through two points and a plane which has only two dimensions intersects with another plane along a one dimensional line
The figure shows a two lines and two planes
1. [tex]\overset{\longleftrightarrow}{XY}[/tex] shows the symbol of a line, and the capital letters X and Y,
The other names for [tex]\overset{\longleftrightarrow}{XY}[/tex] are;
i) Line XY [tex]\left(\overset{\longleftrightarrow}{XY} \right)[/tex]and ii) Line YX, [tex]\left(\overset{\longleftrightarrow}{YX} \right)[/tex]
Reason:
A line can be named by reversing the order of the letters
2. Opposite rays are two rays that extends in opposite directions but have the same endpoint
Opposite rays are; [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex]
Reason:
The rays [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex] have a common end point, R, and they move in opposite direction
3. The intersection of two planes is a line;
The intersection of the two planes is the line [tex]\mathbf{\overset{\longleftrightarrow}{RS}}[/tex]
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PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!
The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.
Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1 p.m., when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.
What was the distance between the deck and the ocean’s surface at 1 p.m.? Which was higher, the deck or the ocean?
What was the distance between the surf shop and the ocean’s surface at 7 p.m.? Which was higher, the surf shop or the ocean?
Answer:
The surf shop was higher and the distance would be 12.8 feet above the oceans surface.
Step-by-step explanation:
Please can someone help!
Answer:
Charles: 17 points
Adam: 25 points
Bethany: 30 points
Answer:
Adam scored 25 points.
Bethany scored 30 points.
Charles scored 17 points.
Step-by-step explanation:
A = Adam, B = Bethany, C = Charles
What we know:
C + 8 = A
A + 5 = B
A + B + C = 72
Charles:
C + 8 + 5 = B
C + (C + 8) + (C + 13) = 72
72 - 8 - 13 = 51
51/3 = 17
Charles scored 17 points.
Bethany:
17 + 13 = 30
Bethany scored 30 points.
Adam:
17 + 8 = 25
Adam scored 25 points.
359 divided by 19 can you tell me please
Answer:
18.8947368
Step-by-step explanation:
Answer: 18.8947368421
Step-by-step explanation:
evaluate
f(12)=3/2x+14
f(-4)=3/2x+14
f(0)=3/2x+14
When f(x) is substituted with a number, you just plug the number into wherever you see x:
_____________
f(12) = 3/2x + 14
f(12) = 3/2(12) + 14
f(12) = 18 + 14
f(12) = 32
f(-4) = 3/2x + 14
f(-4) = 3/2(-4) + 14
f(-4) = -6 + 14
f(-4) = 8
f(0) = 3/2(0) + 14
f(0) = 0 + 14
f(0) = 14
Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.
Answer:
The side lengths of the triangle are 14, 16, and 18.
Step-by-step explanation:
(x) + (x + 2) + (x + 4) = 48
3x + 6 = 48
3x = 42
x = 14
(14) = 14
(14 + 2) = 16
(14 + 4) = 18
The required lengths of side of triangle are 14 in, 16 in and 18 in.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Sides of a triangle are consecutive integers.
Also given that,
Perimeter of triangle is 48.
Let the sides of triangle are x, x+2 and x +4.
x + x + 2 + x + 4 = 48
3x = 48 - 6
3x = 42
x = 14
The length of the triangles
x + 2 = 14 + 2 = 16
x + 4 = 14 + 4 = 18
The side lengths of the triangle are 14, 16 and 18.
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Ratio of AC:CB???
.———.—————.
Answer:
2:3 I think
Step-by-step explanation:
PLEASE HELP ASAPPPPPP
Answer:
y = x
Step-by-step explanation:
The C's are both placed at 5
In terms of the cosecant of a positive acute angle, what is the expression for csc 240°?
Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
What is the value of cosec (180°+α)?The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
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Alyssa’s lemonade recipe calls for 9 lemons for every 2.5 gallons of water. Brian’s recipe calls for 12 lemons for every 4 gallons of water. Whose lemonade will require more water if they each use 36 lemons? . can you help me
Answer:
Alyssa’s lemonade recipe
Step-by-step explanation:
→ Work out how much lemons is needed per gallon for Alyssa’s lemonade recipe
9 lemons = 2.5 gallons
(÷ 2.5) = (÷ 2.5)
3.6 lemons = 1 gallon
→ Work out how much lemons is needed per gallon for Brian’s lemonade recipe
12 lemons = 4 gallons of water
(÷ 4) = (÷ 4)
3 lemons = 1 gallon of water
→ Now compare
Alyssa’s lemonade recipe ⇒ 3.6 lemons = 1 gallon
Brian’s lemonade recipe ⇒ 3 lemons = 1 gallon of water
Brian's lemonade recipe requires more water.
Alyssa uses 10 gallons of water for 36 lemons. Brian uses 12 gallons of water for 36 lemons. Therefore Brian's lemonade recipe requires more water.
convert 86 meters to inches. ?
I'm so stuck rn because she says show how you got the answer never In a million years i thought i would never be doing medical math
Answer:
86 meters equals 3385.83 inches
825 centimeters equals 324.803 inches
Step-by-step explanation:
The formula is divide the length value by 2.54
Hope this helps!
helppp me pleaseeeee
Answer:
connor: Initial value is 200ft/ rate of change is 10
pilar: rate of change is -8/ initial value is 242
Step-by-step explanation:
so to figure out the initial value in a word problem, you need to see what it began or started with first and in the table to figure out the initial value, you need to see if there's a zero in the input and under the zero, the number in the output that's under 0 is the initial value. to find the rate of change in a word problem, if it says per, each, then it's the rate of change, Also to find the rate of change in a table you need to use this formula y²- y¹/x²-x¹ for example 234-242/1-0= -8/1 which is -8 for the slope. I hope my explanation helped. sorry if it's not clear
Which of the following equations represents a line with a positive slope and a negative y-intercept?
HELP PLEASE!!!!!!!
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
Therefore, the correct answer is option C) y= 7.5x-2.
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A 5-pack of popsicles costs $0.95. What is the unit price?
Marco has a collection of 437 bottles. Each month he buys 32 more bottles Write an algebraic expression to represent the number of bottles he has after n months
Answer:
x = 32n + 437............
find the value of x, I need help with that
Answer:
x = 62
Step-by-step explanation:
just do vertically opposite:
180-90-28 = 62
because they are vertically opposite, x=62
also could do:
90-28=62
Which statements are correct about the following expression? Select TWO that apply.
2x2 + 14x – 8
Answer:
12x
Step-by-step explanation:
2x2=4
4+14x-8
4-8+14
-4+14x=12x
what’s the answer??jdbfnfnfnfn
Answer:
m = -k/7
Step-by-step explanation:
(to) Solve for m;
7m + k = 0. Given
- k -k Subtract K from both sides
--------------------
7m = -k K becomes negative since it was subtracted
_ _
7 7 Divide both sides by 7 to get m by itself
---------------------
m = -k/7 Answer
Find the value of x. Round the length to the nearest tenth.
Answer:
9.230095943 or 9.2
Step-by-step explanation:
Trigonometry: sine, cosine, tang: Sohcahtoa
O: opposite(side from angle)
H: hypotenuse(side opposite from 90*)
A: Adgacent(side from angle)
Use scientific calculator: tang(40*) x 11 = 9.230095943
Rebecca earns $4250 per month, of which 24% is taken out of her paycheck for federal and state income taxes and other required deductions. Last month she spent $975 fir rent and $317 for food. What percent of her take-home pay did she spend on rent and rood combined?
The answer is 3,162
I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162
Answer:
40%
Step-by-step explanation:
subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)
=0.4 ; 40%
ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.
1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.
What is the simplified form of the following expression?
11[(92 – 52) = 22 + 8]
O A. 224.5
O B. 242
C. 51.3
OD. 110
Answer:
B. 242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
it's 9 squared and 5 square. 9^2 5^2
What is the simplified expression for the expression below?
-1(2x + 3) – 2(x - 1)
0 4x + 1
-4X-2
-4x+2
-4x - 1
I need help ASAP !!! Timed test
Write the quadratic equation whose roots are 1 and 5, and whose leading coefficient is 2.
Answer:
[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]
Step-by-step explanation:
Hello,
As 1 and 5 are roots we can write, with a real number, the quadratic equation as
a(x-1)(x-5)
and as the leading coefficient is 2 then a = 2
It comes
[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]
Thanks
The quadratic equation will be 2x²-12x+1=0.
What is a quadratic equation?Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.
The equation will be written as,
Quadratic equation = 2( x - 1 ) ( x - 1 )
Quadratic equation = 2 ( x² + 4x - 5)
Quadratic equation = 2x² + 8x - 10
Therefore, the quadratic equation will be 2x²-12x+1=0.
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simplify.show work
(3·9-3²)-10
thanks please show work
Answer:
8
Step-by-step explanation:
We will use a variety of elementary arithmetic skills to evaluate this expression.
The order of operations goes as follows:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.
[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]
can you help me on this problem
Answer:
21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.
Step-by-step explanation:
Answer:prime 29,11,13 composite 21,15,16
Step-by-step explanation:
Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4
[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]
[tex]y = \frac{1}{3}x - 4 \\ [/tex]
Subtract the sides of the equation plus 4
[tex]y + 4 = \frac{1}{3}x \\ [/tex]
Multiply the sides of the equation by 3
[tex]3(y + 4) = x[/tex]
[tex]3y + 12 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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