The parallelogram therefore has a 3/4 square inch area.
What is a parallelogram?A parallelogram is a geometric figure with four equal sides that are parallel to one another. It has equal opposed angles and two sets of parallel sides.
The base length and height of a parallelogram must be multiplied to determine its area. In this instance, the parallelogram's shorter side is specified as 1 inch and its longer side as 4 inches. It states that the height is 3/4 inch.
Hence, the parallelogram's area is:
Area = base x height
= 1 inch x 3/4 inch
= 3/4 square inches
3/4 square inches is equal to 1 inch by 3/4 inch by the base and height.
The parallelogram therefore has a 3/4 square inch area.
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Solve for a
4(a+2) = 8+40
Answer:
10
Step-by-step explanation:
Do 40+8 first which is 48. then you think "what times four is 48" which is 12. so you need to add something to 2 to make 12. which is 10. A=10 :)
Hi!
your answer should be:
A=10
Reason being: 10+2=12, and 12x4=48. 8+40=48 as well.
the shelly group has leased new copier that costs $800 per month plus .25 for each copy. what is the total cost if shelly makes 6000 copies a month
If the new copier costs $800 per month plus $0.25 for each copy, then the total cost for 6000 copies a month is $2300.
The total cost of leasing a copier from the Shelly group depends on the number of copies made each month.
We have to find the cost for making 6000 copies a month,
The equation to represent the total cost is represented as :
⇒ Total cost = (Monthly lease cost) + (Cost per copy × Number of copies),
⇒ Monthly lease cost = $800
⇒ Cost per copy = $0.25
⇒ Number of copies = 6000,
Substituting the values,
We get,
⇒ Total cost = $800 + ($0.25×6000)
⇒ $800 + $1500
⇒ $2300
Therefore, the total monthly cost is $2300.
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The difference of the same side interior angles of two parrelels lines is 50 degrees find all angles
Answer:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Step-by-step explanation:
Angle 1: Same-side interior angle of Line 1
Angle 2: Same-side interior angle of Line 2
We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:
Angle 1 + Angle 2 = 180
Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:
Angle 1 - Angle 2 = 50
We can rewrite this equation as:
Angle 1 = 50 + Angle 2
Now substitute this expression for Angle 1 into the first equation:
(50 + Angle 2) + Angle 2 = 180
Combine like terms:
2Angle 2 + 50 = 180
Subtract 50 from both sides:
2Angle 2 = 130
Divide by 2:
Angle 2 = 65
Now substitute this value back into the equation for Angle 1:
Angle 1 = 50 + Angle 2
Angle 1 = 50 + 65
Angle 1 = 115
Therefore, the angles are as follows:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Find X, Y, and Z.
TEACHING TEXTBOOKS GEOMETRY
The required values of x, y and z are 58°, 29° and 60°
What is an angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Given are two triangles with unknown angles, we are asked to find, value of x, y and z.
Since, the lines are given parallel,
Therefore,
2y = 58° [alternate interior angles]
y = 29°
Now,
2y = x [alternate interior angles]
x = 58°
Since, we know that, the sum of interior angles of a triangle is 180°
Therefore,
x + z + 62° = 180°
58° + 62° + z = 180°
z = 180° - 120°
z = 60°
Hence, the required values of x, y and z are 58°, 29° and 60°
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Sensitivity of two new types of sensors, S1 and S2, to excessive levels of a particular air pollutant is tested. The probability that the sensor S1 detects excessive pollution is 0.7, the probability that the sensor S2 detects excessive pollution is 0.8, and the probability that both of the sensors detect excessive pollution is 0.6. Using the set-theoretical language, describe each of the following events. Then, compute the probability of the events. You can use either the formulas or a Venn diagram. a) at least one sensor detects the pollutant. b) either only S1 or only S2 detect the pollutant. c) S1 does not detect, and S2 detects the pollutant. d) S2 fails to detect the pollutant.
The probability that at least one sensor detects the pollutant is 0.9.The probability that either only S1 or only S2 detects the pollutant is 0.5.The probability that S1 does not detect the pollutant, and S2 detects the pollutant is 0.2.The probability that S2 fails to detect the pollutant is 0.3.
The event "at least one sensor detects the pollutant" refers to the scenario where either S1 or S2 (or both) detect the excessive pollution. This can be visualized as the union of the two events: S1 detecting the pollutant (event A) and S2 detecting the pollutant (event B). The probability of event A is 0.7, the probability of event B is 0.8, and the probability of both events A and B occurring together is 0.6. By applying the principle of inclusion-exclusion, we can calculate the probability of the union as P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.7 + 0.8 - 0.6 = 0.9.
The event "either only S1 or only S2 detects the pollutant" can be represented as the exclusive OR (XOR) of the two events: S1 detecting the pollutant without S2 detecting it (event A) and S2 detecting the pollutant without S1 detecting it (event B). Since the probabilities of events A and B are not explicitly given, we assume that they are equal. Let's denote this probability as p. Therefore, the probability of either event A or event B occurring is 2p. Given that the sum of probabilities of all possible outcomes is equal to 1, we have 2p + P(A ∩ B) = 1. We are also given that P(A ∩ B) = 0.6. Solving these equations simultaneously, we find that p = 0.2. Hence, the probability of the event "either only S1 or only S2 detects the pollutant" is 2p = 2 × 0.2 = 0.4.
The event "S1 does not detect, and S2 detects the pollutant" is the complement of S1 detecting the pollutant (event A) intersected with S2 detecting the pollutant (event B). The probability of event A is 1 - P(S1 detects) = 1 - 0.7 = 0.3. The probability of event B is P(S2 detects) = 0.8. The probability of both events A and B occurring together is given as P(A ∩ B) = 0.6. Therefore, the probability of the event "S1 does not detect, and S2 detects the pollutant" is P(A' ∩ B) = P(A ∩ B') = P(A) - P(A ∩ B) = 0.3 - 0.6 = 0.2.
The event "S2 fails to detect the pollutant" is the complement of S2 detecting the pollutant. Therefore, the probability of this event is 1 - P(S2 detects) = 1 - 0.8 = 0.2.
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Ivan and Jorge were picking apples. Ivan said that for every 6 apples he picked, Jorge picked 4 apples. What are two possibilities of the number of apples that Ivan and Jorge picked?
Answer:
Ivan could pick 12 Jorge would have 8
Step-by-step explanation:
Percy shuffles a standard $52$-card deck and starts turning over cards one at a time, stopping as soon as the first spade is revealed. What is the expected number of cards that Percy turns over before stopping (including the spade)
The expected number of cards Percy turns over before stopping = 3.78≈3
What is probability ?Probability refers to the chance of occurrence of an event E.
Let E be an event and P(E) be the probability of E occurring.
Then, P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)
Now, given a 52-card deck; cards are turned over till a spade comes up.
Then, the number of cards turned over is the sum of all card over 'kth' card, having probability \(P_{k}\), where, the card 'k' comes up if no previous card was a spade.
=> \(P_{k}=\frac{\binom{39}{k}}{\binom{52}{k}} = \frac{39!(52-k)!}{52!(39-k)!}\)
\(\sum^{39}_{k=0} (P_{k})=\frac{39!}{52!} \sum^{39}_{k=0}(\frac{(52-k)!}{(39-k)!}=\frac{53}{14} = \frac{52+1}{13+1}=3.78\)
Hence, after 3.78≈3 cards, Percy will stop turning the cards.
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c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.
Answer:
steps below
Step-by-step explanation:
h = 5t² + 8t + 3
5t² + 8t + (3-h) = 0
** ax²+bx+c=0 x= (-b±√b²-4ac)/2a
\(t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}\) ..... h≥3 to make t≥0
Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2
inches. The diameter of a golf ball is 1.68 inches.
Find the amount of space within the square prism not taken up by the golf balls.
6 in
2 in
2 in
O 21.5 in
O 7.4 in
O 16.6 in
O 31.4 in
Answer:
16.6 in
Step-by-step explanation:
Amount of space left = volume of prism - volume of 3 golf balls
volume of prism = base area x height
base area = area of a square = length² = 2² = 4
volume = 4 x 6 = 24
Volume of a sphere = 4/3 x pi x r^3
r = 1.68/2 = 0.84
4/3 x 3.14 x 0.84^3 = 2.48
volume of 3 balls = 2.48 x 3 =
I NEED HELP PLEASES!!!!
Answer:
4/3
Step-by-step explanation:
im not sure, i did this a while back, so sorry if it's wrong
Answer:
m = 4
Step-by-step explanation:
x1 = -3
y1 = -8
x2 = 0
y2 = -4
You don't need the same values as me but make sure to use the same coordinate pair for x1, y1 and x2, y2.
-4 - -8 = -12
-3 - 0 = -3
-12/-3 = 4
Hello people I can use some help
Answer:
The inverse operation is division
Jaine has saved 7 times as much
money as Jared has saved. Jaine has
saved $378. How much money has
Jared saved?
Answer:
$54
Step-by-step explanation:
If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.
The area of a poster board measures (25x^(2)+12) square units. Two rectangular pictures are to be glued onto the poster board. One has dimensions (8x-3) units by 4 units. What area is left for a second poster?
Since one rectangular picture has a dimension of (8x-3) units by 4 units, the area that is left for a second picture is \(25x^2 - 32x + 24\)square units.
Determining area of a rectangleGiven, Dimensions of one picture is (8x-3) x 4
Thus
The area of one rectangular picture is
(8x-3) x 4
= 32x - 12 square units.
To get the area left for a second picture, subtract the area of one picture from the total area of the poster board
Area left = \(25x^2\) + 12 - (32x - 12)
By simplifying the expression,
Area left = \(25x^2\)+ 12 - 32x + 12
Area left = \(25x^2\)- 32x + 24
Therefore, the area left for a second picture is \(25x^2\) - 32x + 24 square units.
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Select the correct answer. What is the range of the function f(x) = -4\x+ 11 - 5? A. (-4,-5) B. [-5,-) OC. (-4,-) OD. (-2,-4] Reset Next 2021 Edmentum. All rights reserved. Search
We are given the following function:
\(f(x)=-4\lvert x+1\rvert-5\)This function is equivalent to the function:
\(g(x)=-4\lvert x+1\rvert\)Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:
\(R(f(x))=\mleft\lbrace y\parallel y\mright?\le5\rbrace\)or in interval notation:
\(R(f(x))=(-\infty,-5\rbrack\)Brianna is buying a house for $210,000. She plans to make a 14% down payment. Closing costs include $650 for 6 months of homeowners insurance, $600 for 6 months of property tax, $125 for the title fee, and $350 in transaction fees. Brianna also agreed to pay two points in exchange for a 0.5% reduction in interest rate. Determine the amount of money Brianna needs to cover closing costs. Round your answer to the nearest cent.
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
What types of symmetry can a shape have?
Answer: rotational symetry, reflection, and point
Step-by-step explanation:
9. Which transformation will place the trapezoid onto
itself?
(-2, 3)
(2, 3)
(-4, -3)
(4, -3)
A. Counterclockwise rotation about the origin by 90°
B. Rotation about the origin by 180°
C. Reflection across the x-axis
D. Reflection across the y - axis
What is the slope of the line in this graph?
Answer:
The slope of the line is 7/5.
Step-by-step explanation:
To find the slope, first, find two points. On this line, two points are 0,0 and 7,5. Using the slope formula, we get 7-0/5-0. This gives 7/5, and that's the slope.
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Sam has $20. She buys 6 bags of chips and has $2 left over. Write and solve an equation to determine the cost of one bag of chips.
is it possible to form a triangle with side lengths 3,3, and 4
Answer:
Yes
Step-by-step explanation:
is it possible to form a triangle with side lengths 3,3, and 4?
Sum of any two sides of a triangle is greater than the third side.
3 + 3 = 6 (greater then 4)
4 + 3 = 7 (greater then 3)
so, the answer is yes
in the picture your isosceles acute triangle
what is the quotient for 5/6 deided by 5/24
Answer: 4/1
Step-by-step explanation: Find the reciprocal of the divisor
Reciprocal of 5/24: 24/5
Now, multiply it with the dividend
So,
5/6 ÷ 5/24= 5/6 × 24/5= 5 × 24/ 6 x 5 = 120/30
After reducing the fraction, the answer is
4/1
Plot the point (−1/2, −5/2) on the coordinate plane.
the area of a circular pizza is 2122.64 square centimetres. what is the diameter of the pizza
Answer:
The radius = 13 square inches.
Explanation:
The surface are of a sphere has the formula SA=4πr2. SA=2122.64 so 2122.64=4πr2.
a parabola has one x-intercept at (– 4, 0). if the vertex is at (2, 5), find the other x-intercept.
The equation of the parabola is y -5 = (5/6) (x - 2)^2
How do you define a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
What is the parabola on a graph?A quadratic function's U-shaped curve is shown on a parabola graph. A right circular cone and a plane surface intersect to form one of the conic sections known as a parabola in mathematics. The plane is symmetrical. U-shaped bend
y - k = a (x - h)2
where the vertex is (h,k). Since the vertex is known to be at (7,-3), we know that h = 7 and k = -3. Consequently, the equation is
y -5 = a (x - 2)2
We utilize the fact that the parabola passes through point to determine a for (4,0). With x =- 4 and y = 0, we obtain
0 - 5 = a (-4 - 2)
-5 = a (-6)2
-5 = -6a
a = 5/6
Consequently, the parabola's equation is
y -5 = (5/6) (x - 2)^2
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find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
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Which ordered pair is a solution of the equation y= -6+1
The equation given is y = -6 + 1. To find a solution for this equation, we need to substitute different values for x and evaluate the corresponding value of y.
However, it seems that there is a typographical error in the equation. The equation y = -6 + 1 simplifies to y = -5. Therefore, the equation does not have any variables or unknowns to solve for.
In this case, any value of y that is equal to -5 will satisfy the equation.
For example, the ordered pair (x, y) = (2, -5) would be a solution, as y is equal to -5. Similarly, (x, y) = (0, -5) or (x, y) = (-3, -5) would also be solutions, as long as y remains equal to -5.
In summary, the equation y = -6 + 1 simplifies to y = -5, and any ordered pair with a y-coordinate of -5 would be a solution to this equation.
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You spin the spinner twice. Find the probability of spinning a three and then a 4.
( There are 6 spaces)
Answer:
1/36
Step-by-step explanation:
chances of getting a 3 is 1/6 and a 4 is 1/6 multiply them and you get 1/36
Establish the identity.
(csc 0+1)(csc 0-1) = cot 0
a. Multiply and write the left side expression as the difference of two squares: ?
b. The expression from the previous step is equivalent to cot 0 using what?
OA. Cancellation Property
OB. Quotient Identity
OC. Pythagorean Identity
OD. Reciprocal Identity
OE. Even-Odd Identity
pls help asap i can’t pass this class without passing this test
To establish the given identity, we need to first multiply the left side of the equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.
The left side of the given equation can be written as:
(csc0+1)(csc0-1)
We can then apply the difference of squares formula to this expression to get:
(csc0+1)(csc0-1) = (csc0+1)(csc0-1)
Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.
Therefore, the given identity is established using the Pythagorean Identity. This means that the correct answer is C. Pythagorean Identity.