Answers
Answer:
B.
Step-by-step explanation:
the area of a triangle is
Area = baseline × height / 2
the baseline can be any of the 3 sides.
the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.
in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.
so, how long is the baseline ?
we need to calculate the difference between the coordinates of both corner points.
we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.
baseline = x2 - x1
and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis
height = y1
therefore, the area of the triangle is
Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B
if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.
in our example
((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²
and therefore
(x1,y1) to (x2,y1) = (x2-x1)
and we are back to our original solution.
Related Questions
88.47 feet converted into the nearest sixteenth of an inches is
Answers
Answer:
1,061.64
Step-by-step explanation:
Im sorry if this is wrong
Jarell is grocery shopping for his BBQ cookout this weekend. He is grilling 13lb. burgers and expects about 20 people. How many whole lbs. of ground beef should be purchase?
Answers
Jarrell should purchase 7 lbs of ground beef.
Number of attendees = 20
Fraction of burger per person = 1/3 lbs
Total fraction of burger required to feed 20 persons :
Number of attendees × fraction per person
20 × 1/3 = 6.667
The number of whole grouhd beef that should be purchased is 7 lbs
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solve this question
i need it
Answers
To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:
A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)
To find the limit, we divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)
Therefore, the limit of the sequence A is 5.
B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)
Again, divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)
So, the limit of sequence B is -7.
C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)
Divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)
As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)
Therefore, the limit of sequence C is 4.
To summarize:
A. The limit of sequence A is 5.
B. The limit of sequence B is -7.
C. The limit of sequence C is 4.
this is all my 30 points please help
Find the surface area of the composite solid.
Answers
Answer:
221 I am sorry if I am wrong. I tried
Step-by-step explanation:
students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the sbcatterplot, which is the best prediction of the number of chapters in a book with 200 pages
Answers
Answer:
7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
A store stocked 150 cans of popcorn for a weekend sale.
Tat weekend, 72 of the cans sold. What percent of the
cans of popcorn stocked were sold that weekend?
Answers
Answer:
48 percent
Step-by-step explanation:
help asap i need to show work too need to be done by 7 pm Eastern Daylight Time
Answers
For the given hexagon ABCDEF the value of x is 52.5°, the measurement of ∠A is 152.5° and measurement of ∠BCG is 45°
What is the internal angle of hexagon?A hexagon is a six-sided polygon in geometry. Any straightforward hexagon has internal angles totaling 720°.
Here a hexagon internal angle sum is 720°;
⇒ (3x-5)° + x° + (2x+30)° + 135° + 140° + 2x° = 720°
⇒ 8x° + 300° = 720°
⇒ 8x° = 720° - 300°
⇒ 8x° = 420°
⇒ x° = 52.5°
Therefore, the value of x is 52.5°
Now, measurement of angle A;
∠A = (3x - 5)° = (3×52.5 - 5)°
∠A = 152.5°
Now, measure ∠BCG is; it is on the straight line segment DCG,
So, ∠DCB + ∠BCG = 180°
(2x+30)° + ∠BCG = 180°
(2×52.5 + 30)° + ∠BCG = 180°
∠BCG = 180° - 135°
∠BCG = 45°
Therefore, the m∠BCG is 45°
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Answer:
x = 52.5
m∠A = 152.5°
m∠BCG = 45°
Step-by-step explanation:
The formula for the sum of the interior angles in a n-sided polygon is:
\(\boxed{(n -2) \cdot 180^{\circ}}\)
Given polygon ABCDEF is a hexagon, the sum of its interior angles is:
\((6-2) \cdot 180^{\circ}=720^{\circ}\)
To find the value of x, sum the angle expressions to 720° and solve for x:
\(m \angle A+m \angle B+m \angle C+m \angle D+m \angle E=720^{\circ}\)
\((3x-5)^{\circ}+x^{\circ}+(2x+30)^{\circ}+135^{\circ}+140^{\circ}+2x^{\circ}=720^{\circ}\)
\(3x-5+x+2x+30+135+140+2x=720\)
\(3x+x+2x+2x-5+30+135+140=720\)
\(8x+300=720\)
\(8x+300-300=720-300\)
\(8x=420\)
\(\dfrac{8x}{8}=\dfrac{420}{8}\)
\(x=52.5\)
Therefore, the value of x is 52.5.
To find the measure of angle A, substitute the found value of x into the expression for the angle.
\(m \angle A=(3x-5)^{\circ}\)
\(m \angle A=(3(52.5)-5)^{\circ}\)
\(m \angle A=(157.5-5)^{\circ}\)
\(m \angle A=152.5^{\circ}\)
Therefore, the measure of angle A is 152.5°.
Angles on a straight line sum to 180°. Therefore:
\(m \angle BCG+m \angle BCD=180^{\circ}\)
\(m \angle BCG+(2x+30)^{\circ}=180^{\circ}\)
Substitute the found value of x and solve for m∠BCG:
\(m \angle BCG+(2(52.5)+30)^{\circ}=180^{\circ}\)
\(m \angle BCG+(105+30)^{\circ}=180^{\circ}\)
\(m \angle BCG+135^{\circ}=180^{\circ}\)
\(m \angle BCG+135^{\circ}-135^{\circ}=180^{\circ}-135^{\circ}\)
\(m \angle BCG=45^{\circ}\)
Therefore, the measure of angle BCG is 45°.
Which of these are functions and which aren't?
Answers
Answer: the only function I see is 6
Step-by-step explanation:
what is the slope of the line that passes thru (7,-6) and (6,-6)
Answers
The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.
Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.
Let the slope of the line joining A (7,-6) and B(6,-6) be m.
We know that the slope of a line is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Slope of the line
= (6-7) / (-6+6)
= -1 / 0
= undefined
Since the slope is undefined we can say that the straight line is parallel to the y axis.
we know that tan 90° = ∞
So any line parallel to this line will have the same slope as the y axis.
Hence the slope of the given line is undefined or infinity.
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What is 2 3/8 - 1 5/8 =
Answers
2 3/8 - 1 5/8
19/8 - 13/8
6/8
3/4
The answer is 3/4
Sub 2 Raging Sushi plz
Answer:
3/4
Step-by-step explanation:
What percent of 98.4 is 7.38????
Answers
Step-by-step explanation:
Step 1: We make the assumption that 98.4 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 98.4.
Step 4: In the same vein, x % = 7.38 .
Step 5: This gives us a pair of simple equations:
100 % = 98.4(1).
x % = 7.38(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 98.4/7.38
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 7.38/98.4
x = 7.5 %
Therefore, 7.38 is 7.5 % of 98.4.
Review
Directions: Identify the type of each of the following triangles based on the sides.
Answers
Answer:
• Triangle A: Side lengths of 5, 3, and 4. This is an acute triangle, as all three angle measurements are less than 90°.
• Triangle B: Side lengths of 12, 7, and 15. This is an obtuse triangle, as one angle measurement is greater than 90°.
• Triangle C: Side lengths of 8, 8, and 8. This is an equilateral triangle, as all three sides and all three angle measurements are equal
Step-by-step explanation:
What is the present value of $ 2,500 per year for 10 years discounted back to the present at 7 percent?
Answers
Answer:
$17,559
Step-by-step explanation:
The present value of $2,500 per year for 10 years, discounted back to the present at 7 percent, is approximately $17,559.
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
Answers
Let's use the formula:
g / sin(G) = h / sin(H)
Substituting the given values:
g / sin(49°) = 840 / sin(93°)
Now, we can solve for g. Rearranging the equation, we have:
g = (sin(49°) * 840) / sin(93°)
Using a calculator, we can evaluate this expression to find the approximate length of g.
g ≈ (0.7502 * 840) / 0.9998
g ≈ 630.168 / 0.9998
g ≈ 630.227
Therefore, the length of side g, rounded to the nearest tenth of an inch, is approximately 630.2 inches.
a function is given, 2^x + 3. find f(-2)
Answers
Answer:
2_3_4_4/547767()9897568. thank
What is the range of the function y=3√√x+8 1x
Answers
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Answers
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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Which mixed number is equivalent to
19/3
Answers
Answer:
6 1/3
Step-by-step explanation:
You just have to see how many times it goes into it
i already have A but I do not have B
Answers
Answer:
-4 , -1 , -2 , 0 , +1 , +3
Step-by-step explanation:
Answer:
the integers -4,-2,-1,0, +1, +3
Step-by-step explanation:
because when you put them in order you find which pairs are located between -5 and +5
-8,-4,-2,-1,0,+3,+8,+9
which tells you that
-4,-2,-1,0, +1, +3 are between -5 and +5
Complete the equation of the line through
(
−
6
,
−
5
)
(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and
(
−
4
,
−
4
)
(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.
y
=
Answers
The equation of the line through the given points is y = -x - 11.
The equation of the line through two points (x1, y1) and (x2, y2) is given by \(y − y1 = (y2 − y1)/(x2 − x1) (x − x1)\). For the given points, x1 = -6, y1 = -5, x2 = -4 and y2 = -4. Plugging in the values, we get y + 5 = -1 (x + 6). Rearranging the equation, we get the equation of the line y = -x - 11.
To check the correctness of the equation, we can substitute the values of x1 and x2 into the equation and verify if we get the corresponding y-values. When x = -6, we get y = -(-6) - 11 = 5, which is equal to y1 = -5. Similarly, when x = -4, we get y = -(-4) - 11 = -4, which is equal to y2 = -4. This confirms that the equation of the line through the given points is y = -x - 11.
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write the equation for the circle graphed below.
Answers
Answer:
\((x -1)^2 + (y+1)^2 = 0.25\)
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
\((x - h)^2 + (y - k)^2 = r^2\)
Where
\((h,k) \to center\)
\(r \to radius\)
From the attached graph,
\((h,k) = (1,-1)\)
\(r = 0.5\)
So, we have:
\((x - h)^2 + (y - k)^2 = r^2\)
\((x -1)^2 + (y--1)^2 = 0.5^2\)
\((x -1)^2 + (y+1)^2 = 0.5^2\)
\((x -1)^2 + (y+1)^2 = 0.25\)
Find the length of the third side. If necessary, round to the nearest tenth. 9 12
Answers
The required length of the third side of the right-angle triangle is 15 units.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as the hypotenuse, are perpendicular and the base is Pythagorean triplets.
Here,
For the right triangle lenght of the two legs to be 9 and 12 units, a measure of the third side is to be determined.
So, Applying the Pythagoras theorem,
h² = p² + b²
h = √9² + 12²
h = √225
h = 15
Thus, the required length of the third side of the right-angle triangle is 15 units.
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Which expressions represent the length of side HT?
Choose 2 answers:
А
8.3.sin(90° - 75)
B
8.3-cos(90° - 75")
8. tan(90° - 75")
tan 90
75
Answers
Answer:
A and C
Step-by-step explanation:
Multiple choice math pls help
Answers
Answer:
Option 2
Step-by-step explanation:
Plugging in either 2 or 3 for x will make the denominator 0 and therefore undefined
proportianal or not pls answer
Answers
0.4/1.6=0.25
Yes it is proportional
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Help help help please in a hurry!!!!!!!!!!!!!!!!!!!
Answers
Answer:D
Step-by-step explanation:
please mark brainliest
What are the intercepts of the graph of
the equation 4y - x = 8
Answers
Answer:
x intercept: (-8,0)
y intercept: (0,2)
1. Find the area of the triangle below. 13 in9in7in18 in63 inches squared91 inches squared126 inches squaredO 45.5 inches squared
Answers
ANSWER:
63 square inches
STEP-BY-STEP EXPLANATION:
We have the formula to calculate the area of the triangle is the following:
\(A=\frac{b\cdot h}{2}\)Replacing:
\(\begin{gathered} A=\frac{7\cdot18}{2} \\ A=63 \end{gathered}\)The area equals 63 square inches
Solve for y.
6y + 15 = 93
Answers
Answer:
y= 13 is the answer for the question