Answer:
minus 3 plus 1 plus 2 plus 3 plus 5
Step-by-step explanation:
What type of triangle do the points 3 2 (- 2 3 and 2/3 form a right triangle B equilateral triangle C isosceles triangle d none of these?
Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).
Let the given points be,
A = (3, 2), B = (-2, -3) and C = (2, 3)
The formula for the distance between two points:
The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by [tex]D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$[/tex].
Therefore,
A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), B = [tex](x_{2} , y_{2} )[/tex] = (-2, -3)
[tex]& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}[/tex] units
B = [tex](x_{1} , y_{1} )[/tex] = (-2, -3), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)
[tex]& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}[/tex] units
A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)
[tex]& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}[/tex] units
By using the Pythagorean theorem:
According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.
Now, we can see that,
[tex]& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\[/tex]
[tex]& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2[/tex]
Therefore, the given triangle is a right angled triangle.
Therefore, option(A) s correct.
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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.
A. right triangle
B. equilateral triangle
C. isosceles triangle
D. none of these
Torrin rode his bike to school at 13. 5 km/h. He returned home using the same route at 10. 5 km/h. Torrin took a total of 36 min to ride to school and back. Express your answer to the nearest hundredth. A) how many minutes did torrin take to ride to school? B)how far is it from Torrins house to school?
To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.
Let v₁ = 13.5 km/h the speed to school
v₂ = 10.5 km the speed returning home
t = the time of the ride to school in minutes
36 - t = the time of the ride from school in minutes
Since, distance = speed × time
⇒v₁ × t/60 = v₂ × (36 - t)/60
⇒13.5 × t/60 = 10.5 × (36 - t)/60
⇒t = 15.75 min
Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.
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Ten gallons of a sugar solution were mixed with 7 gallons of a 76 percent sugar solution to make a 64 percent sugar solution. Find the percent concentration of the first solution.
answers-
a. 51%
b. 60%
c. 48%
d. 56%
7 gallons of 76% solution contain 0.76×(7 gal) = 5.32 gal of sugar
10 gal of c% solution (c for concentration) contain c/100×(10 gal) = c/10 gal of sugar
(for example, if you have 10 gal of 50% solution, then it contains 50/10 = 5 gal of sugar)
Mixing the two gives a new solution with a total volume of 17 gal. If its concentration ends up at 64%, then it must contain 0.64×(17 gal) = 10.88 gal of sugar. This means
(sugar in 76% solution) + (sugar in c% solution) = 10.88 gal
5.32 gal + c/10 gal = 10.88 gal
c/10 gal = 5.56 gal
c = 50.56 ≈ 51
which makes the answer A.
Answer:
d. 56
Equation:
Let x = the percent of the 10 gallon sugar solution
10x + 76(7) = 64(10 + 7)
10x + 532 = 1088
10x = 1088 - 532
10x/10 = 556/10
x = 55.6
55.6 is closest to 56, therefore, the answer is 56%
can someone please help me?
where h is the height of the car in metres, t is the time that has elapsed in minutes and a, b and c are constants.
Find values for a, b and c that will effectively model your motion on the big wheel.
The graph of the variation of the height of a person on the Ferris wheel with time, created with MS Excel is attached
The values of the constants in the sinusoidal function, h = a + b·(c·t) are;
a = 30
b = -20
c = π/1.5
What is a sinusoidal function?A sinusoidal function is a periodic, oscillatory function, that is based on the sine (or cosine) trigonometric ratios.
The diameter of the Ferris wheel = 40 m
The location of the axle above the ground = 30 m
The time it takes to make a complete a rotation = 3 minutes
The formula for modelling the elevation or height, h, of a person above the ground is presented as follows;
h = a + b·cos(c·t)
The details in the question is that at time, t = 0, the person enters the wheel at the lowest point.
Therefore;
At t = 0, h = 30 - 40/2 = 10
h = 10 = a + b·cos(c × 0) = a + b·cos(0) = a + b
a + b = 10
Whereby the height of the axis of the wheel above the ground is a constant, for visibility in the analysis, let the constant a represent the constant height of the axis from the ground, we get;
a = 30
a + b = 10, therefore;
b = 10 - a
b = 10 - 30 = -20
b = -20
At t = 1.5 minutes, the location on the wheel the person enters is at the maximum height on the wheel = 30 + 20 = 50
50 = a + b·cos(1.5·c)
50 = 30 - 20 × cos(1.5·c)
20 × cos(1.5·c) = 30 - 50 = -20
cos(1.5·c) = -1
cos(π) = -1
Therefore; 1.5·c = π
c = π/1.5
The equation is therefore;
h = 30 - 20·cos((π/1.5)·t)
a = 30, b = -20, c = π/1.5
Please find attached a graph showing the variation of height with time of the motion on a Ferris created with MS Excel
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Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y < c - 1 y > x -4
The graph of the inequality system is attached. The coordinate of a point in the solution set is (-1, 2).
In order to graph the system of inequalities graphically, consider the equation of each inequality.
y = x – 1
y = x - 4
Choosing a few values of x, plot the graph for each equation. Shade the area bounded by the line based on the inequality. If the inequality is less than, shade the area right to the line and if the inequality is greater than, shade the area left to the line. Hence, y < x – 1 is represented by red area and y > x – 4 is represented by blue area. The overlapping shaded area contains the coordinates that represent the solution of the inequality system. The coordinate of a point in the solution set is (-1, 2).
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Can you help me with this
Answer:
m = 2
Step-by-step explanation:
Slope = rise / run or (y2 - y1) / ( x2 - x1)
Let's pick 2 points (0,0) (1,2)
We see the y increase by 2 and the x increase by 1, so the slope is
m = 2
What is equivalent to 4 6?
The fraction which is equivalent to 4/6 is 8/12 as asked in the question.
2 x 4 = 8 and
3 x 4 = 12
Therefore, they satisfies the condition of an equivalent numbers.
Equivalent numbers are those which on reducing to it's lowest terms gives the same number.
Other example , 2/4 is equivalent number to 8/16 .
Equivalent fractions are those fractions which has different numerators and denominators but the same value when reduced to their lowest terms. For, example 2/4 and 3/6 are comparable fractions because they both equal 12.
A fraction is a portion of a number written in terms of numerator and denominator. Equivalent fractions represent the same percentage of the whole.
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Which techniques can be used to evaluate the expression 12. 75÷1. 5? Select all that apply.
The division technique can be used to evaluate the given expression
12.75÷1. 5
The division formula is used for splitting a number into equal parts. Symbols that we use to indicate division are (÷) and (/).
“p divided by q” can be written as: (p÷q) or (p/q).
The method of verification can be expressed as:
Dividend = (Divisor × Quotient) + Remainder.
The given equation is:12.75÷1.5
We'll first write the above decimal numbers in fractional form.
12.75÷1.5
1275/100÷15/10
2. Now we'll divide it further.
⇒1275/100÷15/10
⇒1275/100×15/10
⇒1275/10×15
⇒225/10×3
⇒88/10
3. And finally, we'll write our quotient in decimal form.
⇒88/10
⇒8.8
ㅤ
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help? very easy just volume
Answer:
1920 cubic centimeters
Step-by-step explanation:
FIGURE A:
8 * 10 * 14 = 1120
FIGURE B:
8 * 10 * 10 = 800
So 1120 + 800 = 1920 cubic centimeters!
dat da answer
Make
x
the subject of the formula
a = bx + c
Answer: x = a/b - c
Step-by-step explanation:
First divide by b on each side to get the x by itself.
Then subtract c from both sides to make x the subject of the formula.
Step-by-step explanation:
a = bx + c
the goal is to get to a form with "x = ...".
a - c = bx
(a - c)/b = x
done.
can someone that knows about these problems help me ? i dont think i have the answer right
Answer:
The equation for the volume of a sphere is [tex]\frac{4}{3}\pi r^{2}[/tex]. Substitute the variables with the given numbers to get [tex]\frac{4}{3}\pi 9^2[/tex]. Simplify the equation to get 3053.63.
What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
The smallest positive integer that is both multiple of 4 and 7 is 2
What are multiples?In mathematics, multiples are the results of multiplying an integer by a given number.
The given numbers for this problem are 4 and 7. The positive multiples of 4 and 7 will be listed and the first number that appeared in the both multiples s the smallest positive integer that is both a multiple of 7 and a multiple of 4.
The multiples of 4
4 8 12 16 20 24 28 32 36 .......
The multiples of 7:
7 14 21 28 35 42 49 56 63 70 77 84 91 98 .....
The smallest common multiple is 28
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a=___
b=___
c=___
Solve for θ and round your answer to the nearest degree.
θ =___ degrees
Answer:
a= -2,3*4,-1
b=u
c=w
Step-by-step explanation:
a) which group has lower mode.
b) what is this mode?
The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.
You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.
In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.
In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.
4 is less than 5, which means that the answer to this question would be Group A.
Maya is saving money to buy a game. So far she has saved $12 , which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
$16
Step-by-step explanation:
12 = 3/4g
cross-multiply to get:
3g = 48
g = 48/3
g = 16
Angle 1 and Angle______ are alternate exterior angles.
It’s angle 1 and angle 8
The pair of angles that are formed on the other side of the pearl lines, but on the opposite side of the transversal
goodluck
Enter your answer and show all the steps that you use to solve this problem in the space provided in the triangle there is a 72° c113° write a list of steps that are needed to find the measure of b
The steps for measuring the angle b is shown below, <b= 41.
What is Exterior angle Property?If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
If an equivalent angle is measured at each triangle vertex, the exterior angles always add up to 360 degrees.
Given:
exterior angle = 113
and, opposite interior angle =72
Using Exterior angle property we have
72 + b = 113
Subtract 72 from both side
72 + b -72 = 113 -72
b = 113- 72
b = 41
Hence, the measure of b is 41 degree.
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Suzy randomly picks marbles from a bag containing 13 identical marbles. How many possible outcomes are there if she selects 9 marbles
Suzy randomly picks marbles from a bag containing 13 identical marbles. The possible outcomes of the given probability if she selects 9 marbles is:
259,459,200.
What is random?Randomness is commonly used to refer to an event's apparent or actual lack of pattern or predictability. Random events, symbols, or steps frequently occur in no particular order and do not adhere to any recognizable pattern or combination.
Germanic in origin, Randon is a name for boys. With a name that means "wolf shield," you can inspire baby Randon to embrace their sense of adventure. something or someone that is suspiciously out of the ordinary, unidentified, or unknown. a peculiar or erratic individual or thing. Something that is random lacks structure, direction, or intent. Like the random selection of lottery numbers or unplanned random events, it occurs entirely by chance.
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HELPLSPLSPLPSLPSLPSL
Answer:
25.5
Step-by-step explanation:
first find the area od the rectangle than the triangle.
to find the area count the number of squares and use A=b*h
than do the same for the triangle using A=.5*b*h
15=3*5
10.5=.5*3*7
10.5+15=25.5
The geometric sequence LaTeX: a_n=125\left(\frac{1}{5}\right)^{n-1}a n = 125 ( 1 5 ) n − 1 represents the sales of a specific product at a store, where n is the number of years after its release. What is the sum of the first 6 terms?
The given sequence represents the sales of a product over time. The sum of the first 6 terms is 693.75, which is calculated by multiplying each term in the sequence by its respective exponent.
The sum of the first 6 terms of the geometric sequence is calculated as follows:
[tex]a_1 = 125 \left(\frac{1}{5}\right)^{1-1} = 125 \\[/tex]
[tex]a_2 = 125 \left(\frac{1}{5}\right)^{2-1} = 25 \\[/tex]
[tex]a_3 = 125 \left(\frac{1}{5}\right)^{3-1} = 5 \\a_4 = 125 \left(\frac{1}{5}\right)^{4-1} = 1 \\a_5 = 125 \left(\frac{1}{5}\right)^{5-1} = \frac{1}{5} \\a_6 = 125 \left(\frac{1}{5}\right)^{6-1} = \frac{1}{25} \\[/tex]
Total sum = 125 + 25 + 5 + 1 +[tex]\frac{1}{5} + \frac{1}{25}[/tex] = 693.75
The geometric sequence a_n=12[tex]5\left(\frac{1}{5}\right)^{n-1}[/tex]represents the sales of a product over time, where n is the number of years after its release. The sum of the first 6 terms is calculated by multiplying each term in the sequence by its respective exponent. This gives us the following 6 terms: a_1 = 125, a_2 = 25, a_3 = 5, a_4 = 1, a_5 = 1/5, and a_6 = 1/25. The sum of these 6 terms is 693.75.
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hi, can someone please help me
this is your proper answer
hii, how are you
Answer:
15
Step-by-step explanation:
Let the total number of beads be x[tex]\because\: \frac{3}{8}[/tex] of the beads are blue.& Total number of blue beads = 9[tex]\rightarrow\: \frac{3}{8}\times x= 9[/tex][tex]\rightarrow\: x= \cancel{9}\times\frac{8}{\cancel{3}}[/tex][tex]\rightarrow\: x=3\times 8[/tex][tex]\rightarrow\: x=24[/tex]Number of purple beads = 24 - 9 = 15What do I put for question a, b, c and d?
Answer:
Step-by-step explanation:
a) (52 + 63)/250 = 0,46 = 46%
b) (63+77)/250 = 0,56 = 56%
c) 63/140= 0.45 = 45%
d) vegetarian that exercise: 52/110 = 47%
Compararison with not vegetarian:
63 : 140 = x : 110
50/110
So the answer is the first option
Freemont Run Club surveyed a random sample of 303030 of their members about their running habits. Of the members surveyed, 999 said that they run more than 555 days a week. There are 848484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 555 days a week?
Answer:
the answer is 25 according to Khan
Step-by-step explanation:
Customary System Units Metric System Units 1 gallon 3.79 liters 1 quart 0.95 liters 1 pint 0.473 liters 1 cup 0.237 liters Approximately how many centiliters are in 3 quarts
3 quarts is equal to approximately 285 centilitres.
To Calculate this we have:
3 quarts is equal to 3 x 0.95 liters = 2.85 liters.
1 litre is equal to 100 centilitres, so 2.85 litres is equal to 2.85 x 100 = 285 centilitres.
Therefore, 3 quarts is equal to approximately 285 centilitres.
In detail, a quart is a unit of measurement in the Customary System Units and is defined as a quarter of a gallon. 1 quart is equal to 0.95 litres. To find out how many centilitres are in 3 quarts, we need to multiply the number of quarts (3) by the conversion factor (0.95 litres per quart). This gives us 2.85 litres. Since 1 litre is equal to 100 centilitres, we can multiply 2.85 litres by 100 to get 285 centilitres. Therefore, 3 quarts is equal to approximately 285 centilitres.
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Evaluate cos(θ) when θ=3π/2?
Answer:
0
Step-by-step explanation:
A rectangle has an area of 16x + 24. What could the length and width of the rectangle be
The length and width of the rectangle will be 2 and 8x + 12
Area of rectangle = 16x + 24.
A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.
A rectangle's area is found by multiplying its length and width together, so:
Area = length x width
Calculating the length and width of the rectangle -
Factoring out 2 from the equation -
Therefore -
2 (8x+12)
Since, the area is the length times width, thus -
2 x (8x+12)
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Find the area of the polygon with the given vertices. N(-2,1), P(3,1), Q(3,-1), R(-2,-1)
Answer:
10
Step-by-step explanation:
no explanation just math-way
50 POINTS. WILL MARK BRAINLIEST. Write a short paragraph describing the career and music of one of the following composers. Be as specific as possible. (5 pts.)
a. Hildegard von Bingen
b. Guillaume de Machaut
The Saint Hildegard of Bingen stood out in the Middle Ages for her great knowledge in different fields and her extensive written production.
Who was Hildegard von Bingen?Saint Hildegard of Bingen (1098-1179), was a German nun belonging to the Order of Saint Benedict who stood out for performing multiple functions, among which are:
ComposerWriterPhilosopherScientificAmong other.Hildegard stood out for being one of the most influential personalities of the Late Middle Ages due to her remarkable intelligence and culture that led her to be one of the most productive writers of her time and to develop varied knowledge of natural history.
Much of her work (including her musical compositions) is found in her best known work called "Wiesbanden Codex" or "Riesencodex".
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Find the value of c that completes the square. Show your work.
First problem included as reference. Use (b/2)^2
Answer:
26. 16
27. 1
28. 49
29. 169
30. 256
Step-by-step explanation:
26. (b/2)² = (-8/2)² = 16
27. (b/2)² = (-2/2)² = 1
28. (b/2)² = (-14/2)² = 49
29. (b/2)² = (26/2)² = 169
30. (b/2)² = (-32/2)² = 256