Answer:
1 no ans is 13
2no. ans is 28
3 no. ans is 4
4no.ans is 2
we get all these by simplifying them....
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:
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= 15Sue has 20 biscuits in a tin. there are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits. sue takes at random two biscuits from the tin. work out the probability that the two biscuits were not the same.
Answer:
58.43%
Step-by-step explanation:
In this case we have that the probability that they are different is the opposite of the probability that they are the same, therefore, in each case it would be:
P (plain, plain) = (12/20) (11/19)
P (p, p) = 132/380
P (chocolate, chocolate) = (5/20) (4/19) = 20/380
P (ch, ch) = 20/380
P (currant, currant)= (3/20) (2/19) = 6/380
P (c, c) = 6/380
The probability that they are equal is the sum of each:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 0.4157
Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843 = 58.43%
It means that the probability is 58.43%
Answer:111/190
Step-by-step explanation:
picture is the qestion
Answer:
x = 12
Step-by-step explanation:
We can use the Cross Products Property.
9 / 12 = x / 16
12x = 9 * 16
x = 9 * 16 / 12 = 12
Answer:
x = 12
Step-by-step explanation:
→ First we work out the multiplier between 16 and 12 so,
16 ÷ 12 = 1.3 recurring
→ Multiply this multiplier by 9
9 × 1.3 recurring = 12
→ x = 12
The polygon below represents a regular octagon.
Calculate the following angles. You must show your working.
Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = [tex]\frac{\text{Sum of interior angles}}{n}[/tex]
x = [tex]\frac{1080}{8}[/tex]
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = [tex]\frac{135}{6}[/tex] = 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
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
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;
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classify the triangle according to its SIDES and ANGLES.
Answer:
this is a right angled triangle
Step-by-step explanation:
It has a 90 degree angle
the hypotenuse is the longest
The other two sides adjacent to the right angle are perpendicular
It could also be called an isosceles right angled triangle
Answer:
Right angled and Isosceles
Step-by-step explanation:
Right angled because one corner of the triangle is marked with a square, which shows it is 90degrees.
Isosceles because 2 angles and 2 sides have been marked with similar lines and curves, which shows that they are equal in length. When 2 angles and 2 sides are equal, the triangle is isosceles.
Hope this helps.
Good Luck
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
A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to the nearest square centimeter.
Hey there! I'm happy to help!
We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.
So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.
π×1.5²=7.065
Now, we need to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.
First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.
3π=9.42
So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.
9.42×6.4=60.288
Now, we add the rectangle area and the bottom circle area.
60.288+7.065=67.353
But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.
An important thing to note is that this is not the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.
Have a wonderful day!
Which statements about the figure must be true? Select three options. A- Line segment A B is bisected by Line segment C D . B- Line segment C D is bisected by Line segment A B . C- AE = One-halfAB D- EF = One-halfED E- CE + EF = FD
Answer:
C and E
Step-by-step explanation:
Midpoint, as the word suggests, means the point which lies in the middle of something. The statements that are correct are 1, 3, and 5.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
The statements which are correct about the given figure are:
AB is bisected by CD. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.AE = 1/2 AB. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.CE + EF = FD. Since F is the midpoint of CD, the length of CF and FD will be equal but also CF is divided into two parts, therefore, AE and Eb.Hence, the statements that are correct are 1, 3, and 5.
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How do you determine an angle’s measurement in degrees?
Answer:
Simply by using a protractor.
Step-by-step explanation:
Place the center of the protractor on the origin of the angle. The distance between the two lines is the angle in degrees. Read it on the protractor. You can also do basic arithmetics if other angles are given. For instance 180 degrees- 30 degrees = 150 degrees.
Hope it helped pls mark as brainliest.
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.
SOME PLEASE HELP WITH THE ANSWER!!! Thank you
Answer:
Geometric
Ratio
10:1
Step-by-step explanation:
The sequence is geometric because the common connection between the numbers is divided by 10.
It is ratio, because the sequence is geometric
The ratio is 10:1, because the previous number is 10 times as large as the following number
Hope this helps
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
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.
What is the length of XQY?
Answer:
88
Step-by-step explanation:
First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you [tex]\frac{337}{360} *30\pi[/tex] which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.
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
Idek the answer, can someone help me pls
Answer:
A) 1/6
Step-by-step explanation:
There are six sides on a dice and one number 3.
That means that you have a chance in one of six roles to get a 3 one time.
This may not be very clear so you can ask more questions in the comments!
Anyone help me pls,find the area of each figure(All lines meet at right angles.)
Answer:
The Area of the required figure is [tex]315\:cm^2[/tex]
Step-by-step explanation:
[tex]Area = (21\times 7)+(14\times 7) + (7\times 10)\\\\=147+98+70\\\\=315[/tex]
Best Regards!
Help me please!!! Need ASAP
Answer:
(-infinity, 1)
Step-by-step explanation:
According to the graph, the largest value y can take on is +1.
Thus, the range of this function is (-infinity, 1)
Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it take for Erin to run 25 miles?
Answer:
2½ h
Step-by-step explanation:
Assume the graph is like the one below.
The graph shows how Erin's distance varies with time.
To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.
From there, draw a horizontal line until it hits the graph.
Then drop a vertical line to the horizontal axis.
It hits half-way between 2 and 3.
It takes Erin 2½ h to run 25 mi.
Answer:
2½ h
Step-by-step explanation:
URGENT HELP PLEASE!
Solve the following equations on the interval 0<=x<=2pi
a) square root2 sin 2x=1
b) csc^2x-cscx-2=0
Answer:
(a) [tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]
(b) [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]
Step-by-step explanation:
It is given that [tex]0\leq x\leq 2\pi[/tex].
(a)
[tex]\sqrt{2}\sin 2x=1[/tex]
[tex]\sin 2x=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\sin 2x=\dfrac{\pi}{4}[/tex]
[tex]2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}[/tex] [tex][\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny][/tex]
[tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]
(b)
[tex]\csc^2 x-\csc x-2=0[/tex]
[tex]\csc^2 x-2\csc x+\csc x-2=0[/tex]
[tex]\csc x(\csc x-2)+1(\csc x-2)=0[/tex]
[tex](\csc x+1)(\csc x-2)=0[/tex]
[tex]\csc x=-1\text{ or }\csc x=2[/tex]
[tex]\sin x=-1\text{ or }\sin x=\dfrac{1}{2}[/tex] [tex][\because \sin x=\dfrac{1}{\csc x}][/tex]
[tex]x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]
Therefore, [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex].
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
Please help :(( A candy company has hired you as their new production manager. Your job is to choose the form of packaging for a new product from the five choices below. The candy is animal gummies. The package must hold between 45 and 50 cubic inches (roughly 3 cups of space). The cost of the plastic for the packaging is $0.002 per square inch. Solid 1: Solid 2: Solid 3: Solid 4: Solid 5:
Answer:
sorry please....what is the end of the question ....no task to do
what is a fraction in soda
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
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:
Please answer this question now in two minutes
Answer: a
Step-by-step explanation: simple math
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°