Answer:
1.23
Step-by-step explanation:
123
find the area of the equilateral triangle.if its perimeter is 24cm
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?
Answer:
3 litersStep-by-step explanation:
Let the initial amount of yellow paint be x
Then we have x increased by 30% equals 3.9 liters:
x + 0.3x = 3.91.3x = 3.9x = 3.9/1.3x = 3 liters3. If Greg forgives Chad's $3 debt to him, how does that affect how much money Chad has?
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
Two-Step Equations 2/5x−3=−17
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
Help? Find angle psw
Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?
Answer:
He can drive 625 miles
Step-by-step explanation:
Total spent: $105
$105- $30 charge = $75
$75/$0.12 per mile charge
= 625 Miles
a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
If you are given the graph of a line and are asked to write the equation of a
perpendicular line, does it matter what the y-intercept will be for the equation
you write? Explain why or why not.
Answer:
Yes
Step-by-step explanation:
It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.
Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.
According to the question;
We are required to determine; does it matter what the y-intercept will be for the equation you write when given the graph of a line and are asked to write the equation of a perpendicular line.Although, according to line geometry;
The slope of two perpendicular lines are related as follows;
m1 m2 = -1The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.
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What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
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PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answer:
C.
Step-by-step explanation:
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation:
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
x - 13 = 22 linear equations
Answer:
x = 35
Step-by-step explanation:
x - 13 = 22
Add 13 to each side
x - 13+13 = 22+13
x = 35
See attachment for math work and answer.
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
36÷2/3
pls help i no understand
Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!
Answer:
your answer should be, D.135
i hope this helps!
Answer:
D) 135
Step-by-step explanation:
--------------- = 180 degrees
It's split and the other half is 45 degrees.
All you have to do is subtract.
180-45=135
<8 = D) 135
From 24 grams to 96 grams ( percent change )
Answer:
i think it is 300%
Step-by-step explanation:
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
What’s the volume of this shape?
Answer:
V=72x³y³
Step-by-step explanation:
The formula to apply is;
V= l * w * h where
V= volume in units cubed.
l= length = 3xy
w=width = 4xy
h= height = 6xy
Substitute values in the formula as;
V= l*w*h
V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}
V= 72*x³*y³
V= 72x³y³ --------where xy are the units used.
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling he has 220 in his bank account before buying the tie write the expression to represent how much money Carson spell on low tide be sure to Define your variable
Given :
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.
He has $220 in his bank account before buying the tie.
To Find :
Maximum number of ties he can buy.
Solution :
Let, price of buying x ties is y.
y = 19 + (12.50)x
It is given that he has $200 in his bank account.
So, price of buying tie ≤ $200
y ≤ 200
19 + (12.50)x ≤ 200
(12.50)x ≤ 200 - 19
x ≤ 14.48
Since, number of tie cannot be in decimal.
x ≤ 14
Therefore, maximum tie he can buy is 14.
Hence, this is the required solution.
Can anyone please help me with this?
What is the name of the lake located at letter B on the map above? Answer is C :)
Answer:
the answer is C. lake Texoma
hope this helps
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:
Step-by-step explanation:
12 x 8 x 5 = 480/4= 120 minutes or 2 hours
How do you write a linear equation given the slope and a point that
is not the y-intercept?
Edge 2020
Answer:
point slope form
Step-by-step explanation:
hi! we can use point slope form:
y-y1=m(x-x1)
where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.
example:
slope is 4
ordered pair is (2,3)
y-3=4(x-2)
y-3=4x-8
y=4x-5
hope this helps!
Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?
Answer: Standard Form
Step-by-step explanation:
In the slope intercept form, you can only solve for one equation at a time.
Ex: y = -2.5x + 15
but when using standard you can easly get the answer for both ticket prices
Ex: 25x + 10y = 150
5r + 2g = 30 is the linear equation that best describes the scenario.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.
Let "r" be the Number of reserved tickets she bought
and "g" be the number of general admission tickets she bought
Money spent od reserved ticket = 25 * r
Money spent in general tickets = 10 *g
Since she totals spent 150$
Thus, the equation will be
25r + 10g = 150
Divide by 5 into both the sides
5r + 2g = 30
therefore, The linear equation that represents the given situation is 5r + 2g = 30.
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please help me out!!!
How do I factor
x ^5−x^ 4+3x−3
Find the value of x so that line m is parallel to line l.
Answer:
-17
Step-by-step explanation:
The angles are corresponding angles so when the lines are parallel, the lines are equal
3x-12 = 4x+5
Subtract 3x from each side
3x-12 -3x = 4x+5-3x
-12 = x+5
Subtract 5 from each side
-12 -5 = x+5-5
-17 = x
Answer:
-17
Step-by-step explanation:
The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.