Answer: 58/15
−3−215−(−5)−(−2)=
58/15
(Decimal: 3.866667)
hope i helped
-lvr
Please answer this in two minutes
I hope this helps you
s-28+s-17=s+22
s=22+28+17
s=67°
Answer:
67°
Step-by-step explanation:
By remote exterior angle theorem of a triangle:
s - 28° + s - 17° = s + 22°
2s - 45° = s + 22°
2s - s = 45° + 22°
s = 67°
Lines MN and PQ are parallel. Lines RS and TV intersect them. On a coordinate plane, 3 lines are shown. Line M N has points (negative 3, negative 1) and (3, 3). Line P Q has points (negative 3, negative 4) and (3, 0.5). Line R S has points (negative 2, 4) and (2, negative 2). Which statements are true about these lines? Select three options. The slope of line MN is Two-thirds. The slope of line PQ is undefined. The slope of line RS is Negative three-halves. Lines RS and TV are parallel. Line RS is perpendicular to both line MN and line PQ.
Answer:
The slope of line MN is two thirds,
The slope of line RS is negative three-halves
and line RS is perpendicular to both line MN and PQ
Step-by-step explanation:
For the first two, I found the slope using the slope formula, and I know the third one is correct because that is what it says in the very beginning.
Hope this helped, sorry if it is a little hard to understand, it was pretty hard to understand. :)
The following statements are true:
The slope of line MN is Two-thirds. The slope of line RS is Negative three-halvesThe formula for finding the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Get the slope of MN:
For the line MN with coordinates M(-3, -1) and (3, 3).
[tex]m=\frac{3-(-1)}{3-(-3)}\\m=\frac{3+1}{3+3}\\m=\frac{4}{6}\\m_{mn}=\frac{2}{3}[/tex]
Get the slope of PQ;
For the line PQ with coordinates M(-3, -4) and (3, 0.5)
[tex]m=\frac{0.5-(-4)}{3-(-3)}\\m=\frac{0.5+4}{3+3}\\m=\frac{4.5}{6}\\m_{pq}=\frac{45}{60}\\m_{pq}=\frac{3}{4}[/tex]
Get the slope of RS
For the line RS with coordinates M(-2, 4) and (2, -2)
[tex]m=\frac{-2-4}{2-(-2)}\\m=\frac{-6}{2+2}\\m=\frac{-6}{4}\\m_{rs}=\frac{-3}{2}[/tex]
For two lines to perpendicular, hence;
M = -1/m
From the derives slopes, we can see that;
[tex]m_{rs} = \frac{-1}{m_{mn}}\\m_{rs}= \frac{-1}{\frac{2}{3} }\\m_{rs}=\frac{-3}{2}[/tex]
This shows that the lines MN and RS are perpendicular.
Based on the above calculations, the following statements are true:
The slope of line MN is Two-thirds. The slope of line RS is Negative three-halvesLearn more here: https://brainly.com/question/23935638
Suppose babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036. 1118 babies are sampled at random from the hospital what is the probability that the mean weight of the sample babies would be greater than 3412 gram answer to four decimal places Round your
Answer: 0.0009
Step-by-step explanation:
Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.
i.e. [tex]\mu=3366[/tex] and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]
Sample size = 1118
Let [tex]\overline{X}[/tex] be the sample mean weight of babies.
Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:
[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]
Hence, the required probability = 0.0009
Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the two given circles?
Answer:
Step-by-step explanation:
We that the area of a circle is Pi times r^2 where r is the radius
Let A be the area of the first circle and S the area of the second one and T the total one
A=4^2× Pi
S=6^2× Pi
T = Pi( 4^2 +6^2)
= Pi ( 16+36) = Pi× 52
52 is the radius square
So r = root square 52 = 2 root square 13
Problem
Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40°. The kite
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check
The answers are not 80 and 83. I have tried that.
Answer:
83.3 ft tall
Step-by-step explanation:
[tex]sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845[/tex]
Round to 80.3 and add Hudson's height
80.3 + 3 = 83.3ft tall
The kite is approximately 83.35 feet above ground.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.
Sin = opposite side / hypotenuse
Sin 40 = x/ 125
x = Sin 40 (125)
x = 125 (0.642)
x = 80.3
In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.
80.3 + 3 = 83.3 ft tall
Hence, the kite is approximately 83.35 feet above ground.
Learn more about trigonometric;
https://brainly.com/question/21286835
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Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
_____
Comment on orientation
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
Answer:
(A) the first diagram
Step-by-step explanation:
what is the number which multiplied by itself gives 944.578756
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Simply square root the value to get your answer
[tex]\sqrt{944.578756} = 30.734[/tex]
Thus, your answer is 30.734
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Answer:
30.734
Step-by-step explanation:
Let the number be x.
x² = 944.578756
square root both sides of the equation.
√x² = √944.578756
x = 30.734
a group of 60 adults were surveyed on the ways on how they cope with stress. and the following are the results 34 said they tend to go for a vacation 27 said they would go for a smoke break 41 answered they listen to music 13 tend to go for a vacation and smoke 16 said go for a smoke and listen to music 20 go for a cation and listen to music 28 said two of the coping mechanism how many adults said exactly one of the coping mechanisms
Answer:
The number of adults that said exactly one coping mechanism are 25 adults
Step-by-step explanation:
Total number of adult in the group = 60 adults
The number that go on vacation vacation = 34
The number that go for a smoke break = 27
The number that listen to music = 41
The number that go for a vacation and smoke = 13
The number that smoke and listen to music = 16
The number that go for a vacation and listen to music = 20
The number that said two of the coping mechanism = 28
Set theory
We have;
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
Given that the following relations;
n(A∪B∪C) = 60
n(A) = 34
n(B) = 27
n(C) = 41
n(A∩B) = 13
n(A∩C) = 20
n(B∩C) = 16
Therefore;
60 = 34 + 27 + 41 -13 - 20 - 16 + n(A∩B∩C)
∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 - 20 - 16) = 7
Given that 28 said exactly 2, we have;
Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3
Total number of respondents = 60
Those that said exactly 2 = 28
Those that said exactly 3 = n(A∩B∩C) = 7
Therefore;
60 = Those that said exactly 1 + 28 + 7
Those that said exactly 1 = 60 - (28 + 7) = 25
Alternatively, we have;
Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C)) + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))
= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25
60 - 28 - 7 = 25
The number of adults that said exactly one coping mechanism = 25.
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
Answer:
(15)(0.75) and 0.7(15 – x) + 0.9x
Step-by-step explanation:
I did that assignment.
Answer:
its A
Step-by-step explanation:
Someone help me pls, will give brainiest and high points
Answer:
a ≈ 117 cmStep-by-step explanation:
Using sine rule on triangle ABC as re - shown in the attachment below to get side AC first we have;
∠A = 34°, BC = 164cm, ∠B = 27°, AC = ?
AC/sin 27° = BC/sin 34°
AC/sin 27° = 164/sin 34°
AC = 164 * sin 27° / sin 34°
AC = 74.45/0.5592
AC = 133.14 cm
To get the side 'a', we will use the trig ratio SOH CAH TOA on the right angled ACD.
According to SOH,
sin 61° = a/AC
a = ACsin61°
a = 133.14 * sin 61°
a = 116.45
a ≈ 117 cm
The marked side is approximately 117 cm
Which graph has figures that can undergo a similarity transformation to justify that they are similar?
ty
Answer:
it is the second option
Step-by-step explanation:
these marbles are placed in a bag and two of them are randomly drawn. yellow=2 pink=3 blue=5 what is the probability of drawing 2 yellow marbles if the first one is not placed back into the bag before the second one. Give your answer as a rational number, reduced to simplest terms.
Answer: 1/45
Step-by-step explanation:
From thw question, we are told that there are:
Yellow marbles =2
Pink marbles =3
Blue marbles = 5
Total marbles = 2+3+5 = 10
The probability of drawing the first yellow ball will be= 2/10
Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9
The probability of drawing two yellow balls if they're not replaced will now be:
= 2/10 × 1/9
= 2/90
= 1/45
Find the simple interest on a loan of 20,000 at the rate of 5% in 3 years
Answer:
3,000
Step-by-step explanation:
Loan = 20,000
Simple Interest per year = 5% of 20,000
=> [tex]\frac{5}{100}* 20,000[/tex]
=> 5 * 200
=> 1,000
Simple Interest for 3 years = 3 * 1000
=> 3,000
Answer:
3000
Step-by-step explanation:
SI = P × R × T
Use simple interest formula.
20000 × 5% × 3
1000 × 3
= 3000
Find the absolute value of difference between the numbers shown. The line segment spans from 4cm to 9cm
The graph shows the function f(x)=2^x.what is the value of x when f(x)=8?
Answer:
The Answer is 6 :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
f(x)=2^x
Let f(x) =8
8 = 2^x
Rewriting 8 = 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
PLZ HELP!!! I will name you brainliest!!!
Answer:
x= 15 and y=4
Step-by-step explanation:
Let's start by finding y first using the basic proportionality
[tex]\frac{12}{y}[/tex] = [tex]\frac{18}{6}[/tex] 12*6 = 18y 72 = 18y y = 72/18y= 4now time to find x using the same way:
[tex]\frac{12}{y}[/tex] = [tex]\frac{x}{5}[/tex] [tex]\frac{12}{4}[/tex] = [tex]\frac{x}{5}[/tex] 3 = [tex]\frac{x}{5}[/tex] x = 3*5 x= 15Please answer this question now in two minutes
Answer: a
Step-by-step explanation: simple math
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
it is D just took the test
Step-by-step explanation:
1/1*3+1/3*5+.......+1/47*49 NEED HELP ASAP!!!!!!!!!!!!!!!!
Answer:
805/141
Hope this helps
Answer:
16.5+____+1.04
Step-by-step explanation:
1/1=(1*3)=(3.3*5)=16.5+____+1.04
next,you will make a scatter plot. Name a point that will be on your scatterplot and describe what it represents.
Answer:
(12, 190). This represents that after selling 12 ice creams, I gain $190.
Step-by-step explanation:
I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.
Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabout, to pass off the baton to Shelly at point A.
If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?
Use π≈3.14 and round your answer to the nearest meter.
Enter your answer as a number, like this: 42
Answer:
Jamie must sprint 107 meter to pass Shelly at point A.
Step-by-step explanation:
Circumference of a sector of the circle is represented by,
Circumference = [tex]\frac{\theta}{360}(2\pi r)[/tex]
where θ = central angle subtended at the center by an arc
r = radius of the circle
[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]
= 34.1667π
= 107.34 meter
≈ 107 meter
Therefore, Jamie must sprint 107 meter to pass Shelly at point A.
A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
Does anyone know what Russian math is? When I looked it up, I couldn’t get a clear definition for my little sister. The easier the better.
Answer:
“Russian Math” is built on the foundational principle that the cognitive ability of a child the power to think and reason
What is the measure (in radians) of central angle theta in the circle below? enter an exact expression.
Answer:
Measure of central angle is 3.665 radians
Step-by-step explanation:
In this question, we are trying to get the value of the central angle.
As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.
Mathematically the length of an arc is calculated as follows;
Length of arc = theta/360 * 2 * pi * r
Plugging the values we have from the question;
14 pi = theta/360 * 2 * pi * 12
divide both sides by 2pi
7 = theta/360 * 12
360 * 7 = 12 theta
theta = (360 * 7)/12
theta = 210
Since 1 degree = pi/180 radian
it means 210 degrees = 210 * pi/180 = 3.665 radians
Answer:
[tex]\frac{7\pi }{6}[/tex]
Step-by-step explanation:
Khan Academy
Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Answer:
It is 3 and 1/3 divided by 2/3. None of the choices given work.
Hope it helps <3
Can any one please help me I need help please help me I really need help help thank you
Answer:
Answers are below
Step-by-step explanation:
a) I graphed the scatter plot below
b) As the length of the boats increases, the capacity of the boats increase as well.
c) When the boat is 20 ft long, it has a capacity of 8 passengers. You can tell this because at 19 ft, there are 8 passengers and at 21 ft, there are 10 passengers.
d) When the boat is 29 ft long, it has a capacity of 16 passengers. You can tell this by continuing the graph to reach 29 ft in the length of boats.
Can anyone pls solve this.
Answer:
3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]
=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]
=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]
=> [tex]\frac{5^6}{2^9}[/tex]
4) [tex]\frac{3-2\sqrt{2} }{3+2\sqrt{2} }[/tex]
Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]
=> [tex]\frac{(3-2\sqrt{2})(3-2\sqrt{2}) }{(3+2\sqrt{2})(3-2\sqrt{2})}[/tex]
=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]
=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]
=> [tex]17-12\sqrt{2}[/tex]
Comparing it with [tex]a+b\sqrt{2}[/tex], we get
a = 17, b = -12
write an inequality for the graph
A. x > -3
B. x < -3
c. x > -3
_
Answer:
A. x > -3
Step-by-step explanation:
Well by looking at the graph we can tell that,
the line we can tell that the line goes to the right of of the number line,
Meaning x is greater than -3.
Thus,
x > -3.
Hope this helps :)
Can someone help me solve this answer. The subject is Rate of Change: Tables
Answer:
31+34=65
hopefully petrified and useful and likewise please