Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
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MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Answer:
5/3
Step-by-step explanation:
5×(10×1/3)
=10×5/3
=since 5×(10×1/3) gives 50/3 so thus 10×5/3.
The fraction is therefore 5/3
a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.
Always true, sometimes true, never true?
(x-1)(1+3)>0, x<1
A survey of 100 people found that 35 people exercise in
the morning, 45 people exercise in the afternoon, and 20
people exercise at night. Tara claims that 35:55, 45:80,
and 20:65 are possible ratios from this data. Jim claims
that 35:100, 45:100, and 20:100 are possible ratios from
this data. Who is correct? Explain.
Answer:
Jim's claim is correct
Step-by-step explanation:
Total survey=100 people
Morning exercise=35 people
Afternoon exercise=45 people
Night exercise=20 people
Morning exercise : Total survey
=35 : 100
Afternoon exercise : Total survey
=45 : 100
Night exercise : Total survey
=20 : 100
Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.
Tara's claim however seems to relate one variable with two other variables
Example:
35 : 55
Morning exercise : (morning exercise + night exercise)
35 : (35+20)
35 : 55
Answer:
Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.
PLEASE HELP ME ASAP Find the total surface area.
Answer:
[tex]243.2cm^{2}[/tex]
Step-by-step explanation:
Step 1: Understand what this shape is constructed out of
2 Congruent Trapezoid
2 Congruent Rectangles
1 Small Rectangle
1 Large Rectangle
Step 2: Find the surface area of the shapes
Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]
Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]
Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]
Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]
Step 3: Add the surface areas up
[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]
Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]
name four points that are not coplanar
Answer: U, W, Z and Y
Step-by-step explanation:
4 points are not coplanar if there does not exist any plane that contains the 4 points.
So, a plane is formed by a line and one point outside of it.
Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.
For example:
If first we select Point U and Point W, we will have a line, as shown in the image.
Now we can select the Point Z, that is outside the line, and now we have the plane M that you can see in the image.
Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.
So, here we have that:
Points U, W, Z and Y are not coplanar.
A group of 22 students participated in a math competition
How to solve this pythagoras theorem
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
Convert each number to scientific notation or standard notation.
1.0395 × 10^9
4 × 10^2
Answer:
1)1,0395x10^9
2)its already in scientific notation?
If you write it in standard notation, which is actually just regular notations it's 400.
Step-by-step explanation:
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of 10 , with the power corresponding to the amount of places the decimal should move.
A. 19
B. 20
C. 15
D. 25
Help please !!
Answer:
A
Step-by-step explanation:
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°
Step-by-step explanation:
Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.
Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.
In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.
Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.
Angle A = Angle B
m<A + m<B = measure of intercepted arc = 75°
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
Please help, I don't understand
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
solve for x 3(x+2) = 12
Answer:
x=2
Step-by-step explanation:
3(x+2) = 12
Divide by 3
3/3(x+2) = 12/3
x+2 = 4
Subtract 2 from each side
x+2-2 = 4-2
x =2
Answer:
The value of x is equal to 2.
Step-by-step explanation:
3(x + 2) = 12
Distribute 3 to (x + 2)
3x + 6 = 12
Subtract 6 from both sides of the equation.
3x = 6
Divide 3 on both sides of the equation.
x = 2
The value of x is 2
Simplify this expression:
4(1 - 3x) + 7 x - 8
4(1-3x) + 7x -8
Use distributive property:
4 -12x + 7x -8
Now combine like terms:
-5x -4
Answer:
[tex]-5x-4[/tex]
Step-by-step explanation:
With the expression [tex]4(1-3x) + 7x - 8[/tex], we can simplify it down by applying the distributive property, then combining like terms.
[tex]4(1-3x)+7x-8\\\\4-12x+7x-8\\\\4-5x-8\\\\-5x-4[/tex]
Hope this helped!
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
-3x+2y=6 Find the intercepts. Show your work.
Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
[tex]-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2[/tex]
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
[tex]-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3[/tex]
Thus, the y-intercept is (0,3).
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC
.
E. Translate by the directed line segment from A to B.
What type of function is graphed in this figure?
Question 20 options:
A)
Continuous non-linear
B)
Discrete linear
C)
Discrete non-linear
D)
Continuous linear
Answer:
The correct option is;
B) Discrete linear
Step-by-step explanation:
The graph shows scatter plots of the data points and therefore the plot is a discrete plot of points. Also, we have, from the graph of the function, changes in input values are proportional with changes in output, such that the progression of the points are unidirectional.
Therefore, the graph is a discrete linear function.
Alex has a block of wood that is in the shape of a prism with the dimensions shown. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?
Answer:
1,120
Step-by-step explanation:
Find the volume of the larger figure. This can be represented using the formula for volume.
V = lwh
V = 5*18*18
V = 1620
Now, find the volume of the cut out piece of the wood. We will subtract this from the larger block.
V = lwh
V = 5*10*10
V = 500
Subtract, and you will have your answer.
1620 - 500 = 1,120
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
Answer:
4 and 34/63
Step-by-step explanation:
we know that he has to walk 8 and 2 thirds of an kilometer to school. so far he has ran 1 10/11 of a kilo.
To solve this you would have to divide 8 2/3 by 1 10/11.
you would have to make them into improper fractions so 26/3 divided by 21/11
your answer will be 4 34/63
Alan covers he distance by walking is 6+25/33 km.
what is distance?distance is a scaler quantity which means it only have magnitude and no direction if any person or any thing moves from place A to B then it will show the distance between A and B
Given that Alan's school a distance is 8+2/3 km which is 26/3 km,
and he ran one and ten elevenths kilometers
means 1+10/11 = 21/11 km
and walks rest
let distance covered by walking be x
total distance for Alan school = distance covered by running + distance covered by walking
26/3 = 21/11 +x
x = 26/3 - 21/11
x = 223/33 = 6+25/33
Hence rest walking distance for Alan is 6+25/33
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Please answer this question now
Answer:
72°
Step-by-step explanation:
From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:
m < D = ½(ABC) = ½(AB + BC)
Thus,
[tex] 56 = \frac{1}{2}(AB + 40) [/tex]
Solve for AB
[tex] 56 = \frac{AB + 40}{2} [/tex]
Multiply both sides by 2
[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]
[tex] 112 = AB + 40 [/tex]
Subtract both sides by 40
[tex] 112 - 40 = AB + 40 - 40 [/tex]
[tex] 72 = AB [/tex]
Arc AB = 72°
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D
what is the gcf of 3x^2 +9
Answer:v
Step-by-step explanation:
3(x^2+3)
the gcf is 3
Answer: 3 is the gcf
Step-by-step explanation:
3 is a factor of both 3 and 9. 1 is the other common factor. 3 is the greatest common factor. If you were looking at larger numbers with many common factors like 24 and 48, factors include 1,2,3,4,6,8,12,&24 You might find other smaller factors useful, but most of the time it's the gif that needs to be factored out: 3(x^2 + 3)
There are 100 prize tickets in a bowl, numbered 1 to 100. What is the probability
that an even numbered prize ticket will be chosen at random, not replaced, then an
odd numbered prize ticket will be chosen? Does this represent an independent or
dependent event? Explain.
Answer:
25/99; Dependent event
Step-by-step explanation:
This is the probability that an even ticket will be chosen out of 100 tickets times the probability that an odd ticket will be chosen out of the remaining 99 tickets.
There 50 even out of 100 to start off with. After 1 even is chosen there are still 50 odd but only 99 more tickets.
(50/100)(50/99)=2500/9900= 25/99
This is a dependent event because an odd number should come after the even number only.
Answer:
25/99
Dependent event
Step-by-step explanation:
1. Multiply the possibilities
There are 50 even numbers out of 100 numbers. If one even number is drawn and not replaced, that would leave the odd ticket to be drawn out of 99 tickets. Because an even number was drawn first, all 50 odd numbers would remain.
[tex]\frac{50}{100}[/tex] · [tex]\frac{50}{99}[/tex] = [tex]\frac{2500}{9900}[/tex]
Simplify
[tex]\frac{2500}{9900}[/tex] = [tex]\frac{25}{99}[/tex]
2. This is a dependent event because the chances of an odd number being drawn was altered. If the even ticket was replaced, the probability of the odd number being drawn would not have been affected.
A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)
Answer:
D. 2,-1
Step-by-step explanation:
When a line is reflected by y=x, the x and y switch.
A result of a number, what decreased by 15% equal 161. Find that number.
Answer: 189.41
Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117
I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!
use the given information to find the new price
wholesale price: $35
markup: 95%
Answer:
i think the answer is either $68.25 or $110
i hope this helped
WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)
Answer:
The last one.
Step-by-step explanation:
For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.
The last graph is the only one that has that.
Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.
