Answers
Answer: 95 degrees (not an answer choice)
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.
Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.
Adding these together, we get 95 degrees.
Related Questions
The table shows the percentage of students in each of three grade levels who list fishing as their favorite leisure activity
Fishing
6th Grade (38%) 48%
9th Grade (29%) 50%
11th Grade (33%) 32%
Total (100%) (0.38)(0.48) + (0.29)(0.5) + (0.33)(0.32) = 0.433 or 43.3%
Find the probability that a student is a 9th grader, given that fishing is their favorite leisure activity.
Answers
Using conditional probability, it is found that there is a 0.3349 = 33.49% probability that a student is a 9th grader, given that fishing is their favorite leisure activity.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, we have that the probabilities are given as follows:
[tex]P(A) = 0.433, P(A \cap B) = 0.29 \times 0.50 = 0.145[/tex]
Hence the conditional probability is:
[tex]P(B|A) = \frac{0.145}{0.433} = 0.3349[/tex]
0.3349 = 33.49% probability that a student is a 9th grader, given that fishing is their favorite leisure activity.
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Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Were you not given a diagram?
Solve the inequality graphically. 3^-8 > 6^-8
a. x < 1
b. x > 1
c. x > 0
d. x < 0
Answers
THE ANSWER IS -> b. x > 1
hope it helps
thanks
Answer: c. x>0
Step-by-step explanation:
evaluate question 3 only
Answers
Step-by-step explanation:
(4²-x²)³/²
or,(4+X) (4-X)
Substitute [tex]x = 4 \sin(y)[/tex], so that [tex]dx = 4\cos(y)\,dy[/tex]. Part of the integrand reduces to
[tex]16 - x^2 = 16 - (4\sin(y))^2 = 16 - 16 \sin^2(y) = 16 (1 - \sin^2(y)) = 16 \cos^2(y)[/tex]
Note that we want this substitution to be reversible, so we tacitly assume [tex]-\frac\pi2\le y\le \frac\pi2[/tex]. Then [tex]\cos(y)\ge0[/tex], and
[tex](16-x^2)^{3/2} = 16^{3/2} \left(\cos^2(y)\right)^{3/2} = 64 |\cos(y)|^3 = 64 \cos^3(y)[/tex]
(since [tex]\sqrt{x^2} = |x|[/tex] for all real [tex]x[/tex])
So, the integral we want transforms to
[tex]\displaystyle \int (16 - x^2)^{3/2} \, dx = 64 \int \cos^3(y) \times 4\cos(y) \, dy = 256 \int \cos^4(y) \, dy[/tex]
Expand the integrand using the identity
[tex]\cos^2(x) = \dfrac{1+\cos(2x)}2[/tex]
to write
[tex]\displaystyle \int (16 - x^2)^{3/2} \, dx = 256 \int \left(\frac{1 + \cos(2y)}2\right)^2 \, dy \\\\ = 64 \int (1 + 2 \cos(2y) + \cos^2(2y)) \, dy \\\\ = 64 \int (1 + 2 \cos(2y) + \frac{1 + \cos(4y)}2\right) \, dy \\\\ = 32 \int (3 + 4 \cos(2y) + \cos(4y)) \, dy[/tex]
Now integrate to get
[tex]\displaystyle 32 \int (3 + 4 \cos(2y) + \cos(4y)) \, dy = 32 \left(3y + 2 \sin(2y) + \frac14 \sin(4y)\right) + C \\\\ = 96 y + 64 \sin(2y) + 8 \sin(4y) + C[/tex]
Recall the double angle identity,
[tex]\sin(2y) = 2 \sin(y) \cos(y)[/tex]
[tex]\implies \sin(4y) = 2 \sin(2y) \cos(2y) = 4 \sin(y) \cos(y) (\cos^2(y) - \sin^2(y))[/tex]
By the Pythagorean identity,
[tex]\cos(y) = \sqrt{1 - \sin^2(y)} = \sqrt{1 - \dfrac{x^2}{16}} = \dfrac{\sqrt{16-x^2}}4[/tex]
Finally, put the result back in terms of [tex]x[/tex].
[tex]\displaystyle \int (16 - x^2)^{3/2} \, dx \\\\ = 96 \sin^{-1}\left(\frac x4\right) + 128 \frac x4 \frac{\sqrt{16-x^2}}4 + 32 \frac x4 \frac{\sqrt{16-x^2}}4 \left(\frac{16-x^2}{16} - \frac{x^2}{16}\right) + C \\\\ = 96 \sin^{-1}\left(\frac x4\right) + 8 x \sqrt{16 - x^2} + \frac14 x \sqrt{16 - x^2} (8 - x^2) + C \\\\ = \boxed{96 \sin^{-1}\left(\frac x4\right) + \frac14 x \sqrt{16 - x^2} \left(40 - x^2\right) + C}[/tex]
a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.
Answers
Answer:
Step-by-step explanation:
At May 31, Lily Company has net sales of $395,000 and cost of goods available for sale of $268,000.
Compute the estimated cost of the ending inventory, assuming the gross profit rate is 35%.
Answers
The estimated cost of the ending inventory, assuming the gross profit rate is 35% is; $11250
How to find Estimated Cost?Let us first calculate the gross profit;
Gross Profit = Sales * Profit%
Gross Profit = 395000 * 35%
Gross Profit = $138250
Cost of goods sold = Sales - Gross Profit
Cost of goods sold = 395000 - 138250
Cost of goods sold = $256750
Cost of ending inventory = Cost of goods available for sale - Cost of goods sold
Cost of ending inventory = 268000 - 256750
Cost of ending inventory = $11250
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Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid?
A. A cross section cut parallel with the bottom
B. A cut parallel to the vertical axis, but off the vertical axis
C. Cutting off one of the bottom corners
D. A cut parallel to the vertical axis, directly through the vertical axis
Answers
How do you write
f(x)=-5x^2-100x+8
in vertex form?
Answers
f(x) = -5(x+10)^2 + 508
A 4. Which of the following statements is false?
All squares are rectangles.
All rectangles are parallelograms.
• All parallelograms are quadrilaterals.
All rhombuses are squares
Answers
Answer: Choice D) All rhombuses are squares
=============================================================
Explanation:
Let's go through the answer choices to see which are true and which are false.
A) This is a true statement since all squares have all four angles of 90 degrees each. Any square is a rectangle, but not the other way around. We can cross choice A off the list.B) This is also a true statement. The opposite sides of a rectangle are parallel, which by definition makes it a parallelogram. Any rectangle is a parallelogram, but not the other way around. Cross choice B off the list.C) Yet another true statement. Parallelograms have four sides, which means they are quadrilaterals. Cross choice C off the list.D) This is false. Yes some rhombuses are squares, but others are not. A rhombus has all four sides the same length. If all four angles were 90 degrees each, then we'd have a square. But if the rhombus has its angles that aren't 90 degrees, then we have a non-square rhombus. Any square is a rhombus, but not the other way around.Check out the venn diagram below showing the connection between the geometric shapes mentioned. The large outer rectangle represents the set of all quadrilaterals. Inside this is the oval representing all parallelograms. Then inside the oval is the set of rectangles and the set of rhombuses. The overlapping region of the rectangles and rhombuses is the set of squares, marked in blue.
As you can see, picking any square will get us a rhombus and a rectangle automatically. However, picking any rhombus will not guarantee it's a square.
Use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m=3. Write the answer in slope–intercept form (if possible).
Answers
Answer:
Slope-intercept form: y = 3x - 1
Step-by-step explanation:
We are given that a line passes through the point (-5, -16) and has a slope of 3
We want to write the equation in point-slope form, and simplify it to slope-intercept form (if it is possible to do so).
First, point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We have both the slope and a point, but let's label the values of everything to avoid confusion + mistakes:
m = 3
[tex]x_1=-5\\y_1=-16[/tex]
Now substitute into the formula (remember: we have NEGATIVE numbers, and the formula uses SUBTRACTION):
[tex]y--16=3(x--5)[/tex]
The equation can be simplified
[tex]y+16=3(x+5)[/tex]
We can also write this in slope-intercept form
Start by distributing 3 to both x and 5 (multiply both x and 5 by 3)
[tex]y+16=3x + 15[/tex]
Subtract 16 from both sides
y = 3x - 1
Please answer this for me
Answers
Step-by-step explanation:
all the details see in the attachment.
Find the equation of the line using the given information.
(x, y) = (−3, 0)
and
(x, y) = (−3, 7)
are points on the line
Answers
Do you need to show your work ?
Select the correct answer from each drop-down menu. Consider this system of equations: (equation A) (equation B) The solution for the system of equations is .
Answers
The solution for the system of equations is: (99/13, 150/13)
Given the two expression 2/3x+3/5y=12 and 5/2y-3x=6
We have to find solution of two given expression.
To find the value of x, we have to eliminate y by making y the subject of formula in any of the equations.
Multiply equation A by 5/3 t.o get,
5/3(2/3x) + 5/3(3/5y) = 5/3(12)
10/9x + y = 20
y = 20 - 10/9x
substituting for y into equation b, we have:
5/2(20 - 10/9x) - 3x = 6
50 - 25/9x - 3x = 6
52/9x = 44
52x = 396
The expression that gives the value of x is: 52x = 396
Hence, x = 396/52 = 99/13
y = 20 - 10/9(99/13) = 20 - 110/13 = 150/13
Hence The solution for the system of equations is: (99/13, 150/13)
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Quadratic Functions graph
Answers
Answer:
y=-x^2-4x-1
Step-by-step explanation:
when it is an arch like an upside down U then its
-x^2
it passes through the y axis at -1
its vertex or high point is -2,3 so its
-4x
Answer:
See below
Step-by-step explanation:
Dome shaped parabola so 'a' is negative
'c' is determined where x = 0
this value is -1
Axis of symmetry is the x value of the vertex (which is the high point of the dome)
x = -2
What is
162divide[6 multiply (7-4) to the second power]
help please
Answers
Answer:
please mark me brainlist
Step-by-step explanation:
i need it
Answer:
3^1 multiplied by 3^2 = 3^(1 + 2) = 3^3
162
Simplify ——————
(2•3^3)
Canceling out 2 as it appears on both sides of the fraction line
3^4 divided by 3^3 = 3^(4 - 3) = 3^1 = 3
Step-by-step explanation:
hope this helps you ♡
Which explicit formula models this situation
Answers
Answer:
The formula is: y = y•e^(-k•x)
In this specific case the function is: 512•e^(-x/1.44)
The number of players in the round 7 is 4
Question 1 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
A group of 23 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 4 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
(Do not include units in your answer.)
Answer here
Answers
Answer:
They could make at most 5 teams and its not possible to make everyone on team.
Step-by-step explanation:
If there are 4 players on a team, then we use 23 ÷ 4 = 5.75, 0.75 is not enough for 1, so there are 3 players remaining after making 5 teams.
The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 31 wrecks when 1,085 cars have traveled through the intersection, how many cars have passed through the intersection after 7 wrecks?
Answers
Answer:
Step-by-step explanation:
Comment
This can be done as a proportion. A proportion is 2 equal ratios. If you know three parts of the proportion then you can solve for the 4th.
Proportion
31 wrecks/1085 cars = 7 wrecks / x cars
Solution
31 wrecks/1085 cars = 7 wrecks / x cars Cross Multiply
31 * x = 1085 * 7 Simplify the right
31 * x = 7595 Divide both sides by 31
31 * x/31 = 7595/31
x = 245
Answer 7 wrecks means 245 cars have passed the intersection
Solve 4|x + 6| = 16
Answers
Answer:
-10 and -2
Step-by-step explanation:
First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!
4 | x + 6 | = 16
Divide both sides by 4.
[tex]\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }[/tex]
[tex]\bf{|x+6|=4 }[/tex]
Absolute value is solved.
[tex]\bf{|x+6|=4 }[/tex]
We know either x + 6 = 4 or x + 6 = -4.
x + 6 = 4 (Possibility 1)
x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)
x=−2
x + 6 = -4 (Possibility 2)
x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)
x=-10
Solution:
x=−2 or x=−10
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
What is the slope of the line that passes through the points (-7, -2)(−7,−2) and (-15, -14)(−15,−14)? Write your answer in simplest form.
Answers
Answer:
please help me find em ah and I will be able to do what I can
Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.
Number of Pages Georgina Reads during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
What inference can someone draw about the data?
The books she read this summer had more pages, on average, than last summer.
The number of pages in each book varied more last summer than this summer.
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books
Answers
The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is B.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
For the last summer,
Mean = (140 + 220 + 190 + 180 + 190) / 5 = 920/5 = 184
[tex]\sigma={\sqrt {\dfrac{(140-184)^2+ (220-184)^2+(190-184)^2+(180-184)^2+(190-184)^2}{5}}}\\\\\sigma = 25.7682[/tex]
For this summer,
Mean = (150 + 170 + 150 + 190 + 180) / 5 = 840/5 = 168
[tex]\sigma={\sqrt {\dfrac{(150-168)^2+ (170-168)^2+(150-168)^2+(190-168)^2+(180-168)^2}{5}}}\\\\\sigma = 16[/tex]
Hence, The number of pages in each book varied more last summer than this summer. Thus, the correct option is B.
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The sum of two numbers is ten. One number is twenty less than four times the other. Find the numbers
Answers
Answer:
6 and 4
Step-by-step explanation:
Let one number be x.
Then another will be : 4x - 20
In accordance with the question;
x + 4x - 20 = 10
5x = 10 + 20
x = 30/5
= 6
x = 6
4x - 20 = 4×6 - 20 = 4
So, the numbers are 6 and 4.
Ming drove to the lake and back. On the trip there she drove 30 km/h and on the return trip she went 24 km/h. How long did the trip there take if the return trip took five hours?
Answers
The trip to the lake took 4 hours.
How long did the trip to the lake take?The first step is to determine the distance of the trip.
Distance = average speed x time
24 km/h x 5 = 120 km
Time = distance / average speed
120 / 30 = 4 hours
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What is another way to write the equation 7/8x3/4=-6
Answers
Another way to write the equation is 7x + 54 = 0
How to rewrite the equationGiven the equation;
[tex]\frac{7}{8}x + \frac{3}{4} = -6[/tex]
Find the LCM on the left side, which is 8
[tex]\frac{7x + 6}{8} = -6[/tex]
Cross multiply
[tex]7x + 6 = -6[/tex] × [tex]8[/tex]
[tex]7x + 6 = -48[/tex]
Collect like terms
[tex]7x = -48 - 6[/tex]
[tex]7x = -54[/tex]
Take all to one side
[tex]7x + 54 = 0[/tex]
Thus, another way to write the equation is 7x + 54 = 0
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82% of what number is 94.3
Answers
Answer:
let the no. be X
82% of X = 94.3
82/100 *X = 94.2
X = 94.2 *100/82
X = 94.2/0.82
X = 114.8
Answer:
115
Step-by-step explanation:
82% = 82/10 = 0.82
94.3 / 0.82 = 115
Hope this helps
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
triangle a is a right angled triangle with a height | of 8cm base of 5cm and missing hypotenuse
triangle b is a right angled triangle with a height | of 12cm and a hypotenuse of 17cm with a missing base
Answers
The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.
Pythagoras theoremTriangle A:
Height = 8cmBase = 5cmHypotenuse = x cmHypotenuse² = height ² + base²
x² = 8² + 5²
= 64 + 25
x² = 89
x = √89
x = 9.43 cm
Triangle B:
Height = 12cmBase = x cmHypotenuse = 17 cmHypotenuse² = height ² + base²
17² = 12² + x²
17² - 12² = x²
289 - 144 = x²
145 = x²
x = √145
x = 12.04 cm
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17. Your friend is betting on a game in which the probability of winning is 1 in 5. He has lost 5 games in a
row, so he says he will double his bet on the next game. What do you tell your friend?
Answers
The only problem is you may also go bankrupt before you're able to double your bet enough times.
If the game's events are independent, similar to flipping a coin, then the probability never changes, it's still a 1 out of 5 chance of winning each time.
The coin has no memory, so it will always have the same probability on each flip.
If the games' events are like that, a losing streak doesn't mean a win is now more likely.
But if the events are not independent, it may make sense to increase the bet.
for example, a bag has 10 coins and 2 are worth 100. You reach in and pull out 5 coins, all worth only a penny each.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Your odds of getting one of the 2 $100 coins is now much greater than the original 1 out of 5 chance.
You originally had a 2 out of 10 chance on the first draw. But now it's up to 2 out of the remaining 5 or 40% chance of winning.
There is another reason someone may wish to double their bet. If you doubled your bet each time you lost, you would eventually recoup all your losses. It can work.
The only problem is you may also go bankrupt before you're able to double your bet enough times.
That risk is usually considered too great to double your bets on independent events.
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need help with this question for geometry
Answers
Answer:
[tex]31[/tex]
Step-by-step explanation:
It's 31 degrees, I hope it is the right answer
Jordan and Taylor are collecting canned foods for the homeless. They hope to collect 10 cans per day to reach their goal. They have already collected 120 cans. If the
function for this problem is f(c) = 10r+120, determine how many cans Jordan and Taylor will have collected after 8 days.
Answers
Answer:
200 cans.
Step-by-step explanation:
f(c)=10r + 120
Put t=8 into it
T(c) = 10 x 8 + 120
=200 cans
(Use substitution method)
a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid
Answers
Answer:
693.76 cm²Step-by-step explanation:
a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid
assuming you are looking for thr surface area
Surface Area of a Cuboid ·
TSA = 2 (lw + wh + hl)
2*( 18.5 * 9.4 + 9.4 * 6.2 + 6.2 * 18.5) = (remember PEMDAS)
2 * 346.88 =
693.76 cm²
