Answer:
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
Step-by-step explanation:
The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.
(-4,3), (1,2) and (1,3) would also work as well
The triangle C is used to determine the distance between the given points P ( -4 , 3 ) and Q ( 1 , -2 )
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be P ( -4 , 3 )
Let the second point be Q ( 1 , -2 )
Let the distance between the two points be D
Now , Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( -4 - 1 )² + ( 3 - ( -2 ) )²
D = √ ( -5 )² + ( 5 )²
On simplifying , we get
D = √ ( 25 + 25 )
D = √50 units
D = 5√2 units
Hence , the distance between points is 5√2 units and triangle C has the coordinates of the points P and Q
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Dertermine the quotient of 3/7 divided by 2/3 pls help
Answer: 9/14
Step-by-step explanation:
hope this helps!
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
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If 5 apples cost $1.15, find the cost of 16 apples
Answer:
3.68$Step-by-step explanation:
If 5 apples cost $1.15, find the cost of 16 apples
we can solve with an equation5 : 1.15 = 16 : x
x = 1.15 * 16 : 5
x = 18.04 : 5
x = 3.68
check
5 : 1.15 = 16 : 3.68
4.34 = 4.34
the answer is good
A 15.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck)if the ladder makes an angle of 53° 25' with the horizontal
d= ? m
The distance the ladder goes up the wall is approximately 12.14 meters.
What is trigonometry ?
Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.
We can use trigonometry to solve this problem.
Let's call the distance the ladder goes up the wall "d". We can use the angle the ladder makes with the horizontal to find the length of the ladder that is leaning against the wall.
We know that the ladder is 15.5 m long, so we can use the sine function to find the length of the ladder that is leaning against the wall:
sin(53° 25') = d/15.5
We can solve for "d" by multiplying both sides by 15.5:
d = 15.5 * sin(53° 25')
Using a calculator, we get:
d ≈ 12.14 m
Therefore, the distance the ladder goes up the wall is approximately 12.14 meters.
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David is buying a cheese wheel priced at $14 before tax. The store charges 8% sales tax.
What is the total price, including tax, David pays for the cheese wheel?
Answer:
$15.12
Step-by-step explanation:
1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.
14 x 8% = 1.12
2. Add the sales tax amount back to the price.
14 + 1.12 = $15.12
70 POINTSSSS HELPPPP !
What is the area of the figure?
40 ft2
84 ft2
96 ft2
can't be determined
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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How many solutions does this linear system have?
Y=2/3x+2,
6x-4y=-10
A-one solution -0.6,-1.6
B- one solution -0.6,1.6
C-no solution
D-infinite number of solutions
Answer:
there is only one solution, the answer is (A) one solution -0.6,-1.6.
Step-by-step explanation:
To find out how many solutions the system has, we can solve it using either substitution or elimination method. Let's use the elimination method here:
Y = (2/3)x + 2 --- equation 1
6x - 4y = -10 --- equation 2
To eliminate y, let's multiply equation 1 by 4:
4y = 8/3x + 8
Now, we can substitute this expression for 4y into equation 2 and simplify:
6x - (8/3x + 8) = -10
Multiplying both sides by 3 to get rid of the fraction:
18x - 8x - 24 = -30
Simplifying further:
10x = -6
x = -0.6
Now we can substitute x = -0.6 into either equation 1 or equation 2 to find y:
Using equation 1:
y = (2/3)(-0.6) + 2 = 1.6
Therefore, the solution to the system is (-0.6, 1.6).
Since there is only one solution, the answer is (A) one solution -0.6,-1.6.
Which is the answer?
Answer:
a
Step-by-step explanation:
Model Real Life You and a partner
are conducting a bottle flipping
experiment. You have 3 bottles with
different amounts of water in each. You
need to flip each bottle 15 times. If you
take turns, will you and your partner
each get the same number of flips?
No. Using multiplication and division, you and your partner will not each get the same number of flips because one can flip 23 times, while the other does it 22 times.
What are mathematical operations?The basic mathematical operations include addition, subtraction, multiplication, and division.
These mathematical operations are performed on numbers, variables, equations, and functions to determine numerical results.
In this situation, we first multiply to get the total number of times the 3 bottles can be flipped.
This total is divided by 2 to see if there will not be a remainder. The result of the division operation is an odd value.
The number of bottles for flipping = 3
The number of times to flip each bottle = 15 times
The total number of times to flip the 3 bottles = 45 times 93 x 15)
The number of those conducting the bottle flipping experiment = 2
The number of times each partner can flip the bottles evenly = 22.5 times (45/2)
Each partner cannot flip the same number of times based on the mathematical operations because 45 is not an even number.
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Solve for x: 1 over 3 (2x − 8) = 4. (10 points)
2
6
10
10 over 3
Answer:
10
Step-by-step explanation:
i got an 100 on my quiz
express 72 1/2 as a percentage
Answer:
7250%
Step-by-step explanation:
To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.
72 1/2 is equivalent to 72.5 as a decimal.
To convert it to a percentage:
72.5 * 100 = 7250
Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.
let me know it is helpful for you or not
Find the
median
75,75,75,75,90,95,100,100,110,110,136, 136,136,136,180, 180,180
180,180,180
Answer:
110
Step-by-step explanation:
self explanatory
Help again last question
Answer:
5 cubes. 5 cubes. 4 cubes 5 cubes
Step-by-step explanation:
is easy and no hard
Evaluate the expression: 6x-3y+1 when x=-3 and y=2
Answer:
-23
Step-by-step explanation:
6(-3)-3(2)+1
-18-6+1
-24+1
=-23
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
Answer:
The area is 13
Step-by-step explanation:
By using the third picture you sent I figured out the area of both the triangle (area: 3) and the square (area: 4) and subtracted that from the area of the whole figure (20) to get the area of the shape.
the sum of 0.5 and 2/3
Answer:
\(1\frac{1}{6} or 1.167\)
Step-by-step explanation:
\(\frac{1}{2} + \frac{2}{3}\) (convert 0.5 to a fraction: \(\frac{1}{2}\)
\(= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )\) (find common denominator)
\(=\frac{3}{6} +\frac{4}{6}\) (add the numerators together)
\(=\frac{7}{6}\) (if \(\frac{6}{6}\) is equal to 1, but we have one extra it becomes...)
\(=1\frac{1}{6}\) (convert to a decimal if needed)
\(= 1.167\)
Hope this helps!! Please mark Brainliest!!
5 A circle has a radius of 12 in. Find an exact value for each measurement. (Hint: Use arc length formula to find angle)
a) an arc length with a central angle of 90°:
b) the area of a sector with a central angle of 90°:
Answer:
\((a)\ L = 18.84\) --- arc length
\((b)\ A = 113.04\) --- sector area
Step-by-step explanation:
Given
\(r = 12\)
\(\theta = 90\)
Solving (a): The arc length
This is calculated using:
\(L = \frac{\theta}{360} * 2\pi r\)
So, we have:
\(L = \frac{90}{360} * 2* 3.14 * 12\)
\(L = 0.25* 2* 3.14 * 12\)
\(L = 18.84\)
Solving (b): The sector area
This is calculated using:
\(A = \frac{\theta}{360} * \pi r^2\)
So, we have:
\(A = \frac{90}{360} * 3.14 * 12^2\)
\(A = 0.25 * 3.14 * 12^2\)
\(A = 113.04\)
A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. What is the number of rolls of paper used per wall?
The number of rolls of paper used per wall will be 1.5 rolls per wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.
Then the number of rolls of paper used per wall is given as,
⇒ 6 / 4
⇒ 1.5 rolls per wall
The number of rolls of paper used per wall will be 1.5 rolls per wall.
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Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 8x + y = 6
Answer:
\(\approx 13^\circ\)
Step-by-step explanation:
Given two lines with the equations:
\(9x - y = 4\\ 8x + y = 6\)
First of all, let us learn the formula for finding the angle between the two lines with given equations:
\(tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}\)
\(m_1, m_2\) are the slopes of the two lines respectively.
Let us convert the given equation to point intercept form.
Point intercept form of a line is given as:
\(y = mx+c\)
\(y = 9x-4\\y =-8x+6\)
Comparing with slope intercept form, we get:
\(m_1 = 9\\m_2 = -8\)
Using the above formula:
\(tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\\)
Therefore, the acute angle between the two lines is \(\approx 13^\circ\)
The acute angles between the equations is 13.46 degree.
To find the acute angles between the two equation, let's write out the individual slope of each equation.
Given Data
9x - y = 48x + y = 6Equation of lineThe given equations can be rearranged into equation of line.
\(9x-y=4\\ y=9x-4\\ slope=m_1=9\)
The second equation can also be rearranged as and solving for the slope
\(8x+y=6\\ y=6-8x\\ y=-8x+6\\ slope = m_2 = -8\)
Since we have the slopes of the two equation, we can now find the acute angle between them.
θ = \(tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\ \)
substituting the values and solving for the angle
\(x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\ x = tan^-^1[17/-71]\\ x=-13.46 = 13.46^0\)
The acute angle between the equations is 13.46 degree
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A zoo's gift shop ordered 20 stuffed koalas. They came in boxes that each held b koalas. Choose the expression that shows how many boxes there were.
can someone please answer this for me?
Answer:
Group B because the Anglue across front the side is smaller
Step-by-step explanation:
Group A: N 55 degrees
Group B: N 37 degrees
PLease mark me BRAINLIEST
Answer:
Correct me if im wrong but i belive it is Group B because the angle across from the side is smaller
Logan, John, and Charles have a jelly bean collection. Together, they have 38 flavors. If they decide to randomly choose three flavors, what is the probability that the three they choose will consist of each of their favorite flavors? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer:
i got you bro
Step-by-step explanation:
Express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.
Will mark as brainliest if correct! (#14)
Answer:
B and D
Step-by-step explanation:
To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.
To find the fraction, it's correct answers/total questions.
Answer:
you should get your answer to be ,B and D
I did the rest of the problems but I’m stuck on this problem. ( find the surface area)
Answer:
135.42 square feet
Step-by-step explanation:
2 x triangle face +
2 x rectangular face +
1 x base = Surface Area
2 ( 1/2 * 3 * 4) +
2 ( 3.61 * 11) +
4*11 =
12 + 79.42 + 44 = 135.42 square feet
HOPE THIS HELPS!!!
Jackie planted an orchid that was 3 inches tall. The plant grew by 250% of its height after 5 weeks. How tall was the plant after 5 weeks?
Answer:
10.5 inches
Step-by-step explanation:
250% = 250/100 = 2.5
The plant grew 2.5 times its height in 5 weeks.
Be careful with the way you interpret "The plant grew by 250% of its height after 5 weeks." It means that in 5 weeks, the plant grew an amount equal to 2.5 times the original length of the plant. It does not mean that the total height at the end of 5 weeks was 2.5 times the original height.
growth is 5 weeks: 250% of 3 inches = 2.5 × 3 inches = 7.5 inches
height after 5 weeks: 3 inches + 7.5 inches = 10.5 inches
Which best explains the forces acting on the objects?
Answer:
this answer is not avaliable because i didnt have any options.
Step-by-step explanation:
Answer:
The answer is B: Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
Step-by-step explanation:
geometry pls help i will give brainliest
Answer:
12..........'.............
Answer:
Yeah the Answer is 12
Step-by-step explanation:
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year