Answer:
55°
Step-by-step explanation:
if angle 4 = 105°, then angle 3 must be 180 - 105 = 75° (angles in straight line add up to 180°).
angles in a triangle also add up to 180°.
so we expect angle 2 to be 180 - angle 6 - angle 3
= 180 - 50 - 75
= 55°.
2.36 x 10y = 2360. Solve for y
Answer:
2.36 x 10y = 2360 , y = 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
I use my calculator
Press the 2nd button, num-solv, then input the eqaution and got 100 as the answer
Determine the values of x in the equation x2 = 64.
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
please help!! which triangle is similar to ABC?
A. Triangle A
B. Triangle B
C. Neither
D. Both
Answer:
triangle A because the measurements would be the same. If you add 30 + 112, you get 150. Triangles add to 180, so the missing angle of the first one is 30.
this means triangle A has the same measurements as ABC
a cog company produces 20 cogs a day, 4 of which are defective. Find the probability of selecting 4 cogs from the 20 produced where all are defective?
Answer:
1/4845
Step-by-step explanation:
The probability of selecting a defective cog first is
1/5
The second cog is
3/19
The third cog is
1/9
And the fourth cog is
1/17
Multiplying these together we get
1/5 * 3/19* 1/9 * 1/17 = 1/4845
The probability of selecting 4 cogs from the 20 produced where all are defective is approximately 0.000206.
What is probability?Probability is a measure of how likely an event is to occur. Many events are impossible to predict with absolute certainty.
The probability of selecting 4 defective cogs from the 20 produced can be calculated as follows:
P(4 defective cogs) = (Number of ways to select 4 defective cogs) / (Total number of ways to select 4 cogs from 20)
The number of ways to select 4 defective cogs can be found by selecting 4 defective cogs out of the 4 defective cogs produced, and 0 non-defective cogs out of the remaining 20-4=16 non-defective cogs. This can be expressed mathematically as:
Number of ways to select 4 defective cogs = (4 choose 4) * (16 choose 0) = 1
The total number of ways to select 4 cogs from 20 can be found by selecting 4 cogs out of the 20 produced. This can be expressed mathematically as:
Total number of ways to select 4 cogs from 20 = (20 choose 4) = 4845
Therefore, the probability of selecting 4 defective cogs from the 20 produced is:
P(4 defective cogs) = (Number of ways to select 4 defective cogs) / (Total number of ways to select 4 cogs from 20) = 1/4845
Thus, the probability of selecting defective cogs is approximately 0.000206.
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Identify the domain of the function shown in the graph.
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1)
Answer:
3sqrt2
Step-by-step explanation:
b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf
Simplify the expression.
(15-8)11
[(2 + 5)24
The simplified expression is
rewrite the equation y-8=2 into slope form
Answer:
y=2x+16 is the slope intercept form
Step-by-step explanation:
sorry if its wrong tried!!!
LESSON 17 SESSION 3
4 Ms. Duda's class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.
Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."
Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."
Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.
Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
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ASAP can someone help me with this will mark you brainliest
Answer:
C
Step-by-step explanation:
hope this helps!
Find the value of x.
x = ___
DO THE MATH: Skipper has a credit card account that charges 19% APR using 31
day billing periods. On the first day of the billing period, Skipper buys marine-grade
rope for $933 on the credit card. No other purchases are made. Skipper pays off the
purchase on day 31 at the end of the billing period. What is Skipper's finance
charge? Round your answer to the nearest penny.
Purchase
Day Description
1
Marine-grade rope
Payment
4
Amount
$933.00
Day Amount
31 $933.00
The table below will help you calculate the finance charge.
Skipper's finance charge at the end of the billing period is given as follows:
$14.77.
How to obtain the finance charge?The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.
The amount of interest accrued after t years, using simple interest, is given as follows:
I(t) = Prt.
The parameters for the equation are given as follows:
P is the principal.r is the interest rate, as a decimal.t is the time, in years.Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:
P = 933, r = 0.19, t = 1/12.
Hence the finance charge for Skipper's purchase is calculated as follows:
I = 933 x 0.19 x 1/12 = $14.77.
(rounding to the nearest penny = nearest cent).
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center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter. Round your answer to the nearest whole number.
Answer:
≈19974 grams per cubic meter.
The required density in grams per cubic meter is 19895 g / m³.
Given that,
The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter, round your answer to the nearest whole number, is to be determined
Volume is defined as the ratio of the mass of an object to its density. And that space is occupied by an object in the space.
Here,
1 gallon = 0.0038 m³
3 gallon = 0.0114 m³
Volume = 0.0114 m³
Mass =
1 ounce = 28.35 g
8 ounce = 8 * 28.35
8 ounce = 226.8 g
Mass = 226.8 g
density = mass / volume
= 226.7 / 0.0114
≈ 19895 g / m³
Thus, the required density in grams per cubic meter is 19895 g / m³.
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A person has a 30 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the fifth ticket
a. (5/1 ) (0.30)3 (0.70).
b. (5/4 ) (0.70)3 (0.30).
c. (0.70)^4 (0.30).
d. (0.30)^3 (0.70).
e. 0.30.
Answer: (c)
Step-by-step explanation:
Given
A person has a 30% chance of winning a lottery ticket.
Probability of not getting the lottery ticket is 70%
For person to win at fifth ticket, it must fail in first four
So, the probability associated with it is
\(\Rightarrow P=(0.70)\times (0.70)\times (0.70)\times (0.70)\times (0.30)\\\\\Rightarrow P=(0.70)^4\cdot (0.3)\)
Hence, option (c) is correct.
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
Please help I need the answer quick
Answer:
b
Step-by-step explanation:
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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Please help me please
Answer:
x = 20
y = 40
Step-by-step explanation:
2x + 50
2(20) + 50 = 90
x + 30
20 + 30 = 50
5x/2
5(20)/ 2
100/2 = 50
180 - (90 + 50)
180 - 140 = 40
y = 40
Solve 4(5x+2)=14x+32
Answer:
x=4
Step-by-step explanation:
4(5x+2)=14x+32
20x+8 = 14x+32
20x-14x+8=14x-14x +32 (Both side +14x)
6x+8=32 (cancel 14x -14x)
6x+8-8=32 -8(both side -8)
6x=24 (both side divide 6)
6x/6=24/6
x=4
Answer:
34x+34
Step-by-step
20x+2=14x+32
20x+14x=2+32
34x+2+32
2+32=34
34x=34
Please help, thanks!
Matt drew a quadrilateral with both pairs of opposite sides parallel. The opposite sides are also equal to each other in length. which statements are true?
Order 2 rotational symmetry exists in the quadrilateral: This indicates that if the quadrilateral is rotated 180 degrees around its Centre point, it will retain its original appearance.
what is quadrilateral?In geometry, a quadrilateral is a four-sided polygon with four edges and four corners. The term is derived from the Roman terms quadri and latus (meaning "side"). A rectangle is a two-dimensional shape with four sides, four vertices, and four corners. Concave and convex surfaces are basically of two types. In addition, trapezoids, parallelograms, rectangles, rhombuses, and squares are subclasses of convex quadrilaterals. A rectangle is a two-dimensional structure with four straight sides. Quadrilaterals come in a variety of shapes, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Many statements may be made regarding Matt's quadrilateral:
The quadrilateral is a parallelogram by definition: Because the opposite sides are parallel, the quadrilateral is a parallelogram.
The quadrilateral is a rhombus by definition: Because the opposite sides are equal in length, the quadrilateral is also a rhombus.
The quadrilateral's diagonals are bisected by each other: This applies to any parallelogram, including rhombuses.
The quadrilateral's diagonals are perpendicular bisectors of each other: this is true for rhombuses but not necessary for all parallelograms.
Order 2 rotational symmetry exists in the quadrilateral: This indicates that if the quadrilateral is rotated 180 degrees around its centre point, it will retain its original appearance.
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The quadrilateral is parallelogram or rhombus.
what is quadrilateral?
In geometry, it is a four-sided polygon with four four corners and four vertices. There are Concave and convex surfaces are basically of two types. Quadrilaterals come in a variety of shapes and those are parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Regarding Matt's quadrilateral two statements can be true.
A quadrilateral with both pairs of opposite sides parallel should be a
Parallelogram.
The opposite sides are also equal to each other in length. So according to this statement the quadrilateral should be Rhombus.
Hence, the quadrilateral is either parallelogram or rhombus.
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Twice the sum of a number and 11 is 34.
Answer:
The number is 6.Solution:
2(x + 11) = 34=> 2x + 22 = 34=> 2x = 34 - 22=> 2x = 12=> x = 12/2=> x = 6Hence, the number is 6.
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4xy+16x≈+40 what is the answer...please hurry
Answer:
X = 10/(y-4)
Step-by-step explanation:
4X(y-4) = 40
X(y-4) = 10
X = 10/(y-4)
18 ABCDEFGH is a cuboid. AB= 7.3 cm CH= 8.1 cm Angle BCA = 48° F A E D G B Find the size of the angle between AH and the plane ABCD Give your answer correct to 1 decimal place. H C (Total for Question 18 is 4 marks)
The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.
To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.
First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:
BC = AB * sin(BCA)
BC = 7.3 * sin(48°)
BC ≈ 5.429 cm
Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:
BH = AB - BC
BH ≈ 7.3 - 5.429
BH ≈ 1.871 cm
Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:
cos(BAH) = BH / AH
cos(BAH) ≈ 1.871 / 8.1
BAH ≈ arccos(1.871 / 8.1)
BAH ≈ 74.4°
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How to cross multiply for sin
Answer:
What do you mean sin?
Step-by-step explanation:
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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can you help me with this??
9514 1404 393
Answer:
relative maxima: x=-3, +1relative minima: x=-1, +5Step-by-step explanation:
The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.
The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.
relative maxima: x=-3, +1relative minima: x=-1, +5
A book is bought for 350 and sold for R490. Calculate the percentage profit.
well, the profit is clearly just 490 - 350 = 140.
Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)