Answer:
67
Step-by-step explanation:
A linear pair is two angles which form a straight angle when combined (or 180 degrees). Thus do 180 - 113 to get 67 degrees for Angle 2
The measure of angle 2 is 67°.
It is required to find the measure of angle 2.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given :
<1=113°
We know that
A linear pair adds to 180 degrees.
<1 + <2 =180°
113°+ <2 = 180°
<2 = 180°-113°
<2 =67°
Hence, the measure of angle 2 is 67°.
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g(a)=2a-3
h(a)=-3a+1
Find g(h(a)) =
Answer:
g(h(a)) = 6a-1
Step-by-step explanation:
They are trying to confuse you for no reason.
it migt be easier if you think of g(a) instead as g(x)=2x-3
So h(a)=3a+1, and we pu it info g(x), which would make it 3a+1=x, so g(3a+1) = 2(3a+1)-3=6a+2-3=6a-1
Amanda made the following figure by combining 1 cubic foot cubes.What is the volume of her figure?
Answer:
100
Step-by-step explanation:
I counted
A recipe for bread calls for 4 1/4 cups of flour. Which expression gives the number of cups of flour needed if you want to make 3 1/2 batches of this recipe?
Answer:
3 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 1/4. 3.5
1.1
what is x? please answer
Answer:
130º
Step-by-step explanation:
use the conveyor xd
Of 80 people attending a dance 28 dance with their hands touching the floor. If four people at the dance are selected at random, determine the probability that each of the 4 dance with their hands touching the floor.
`PLEASE HURRY ITS A QUIZ
Answer: The probability is 0.013
Step-by-step explanation:
Out of 80 people, 28 of them dance with the hands touching the ground.
Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.
For the first selection, this is p1 = 28/80
now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)
for the third and the fourth we have:
p3 = 26/78
p4 = 25/77
Then the probability of the fourth events is equal to the product of the four probabilities:
P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013
Answer:
The probability that each of the 4 dance with their hands touching the floor is 0.0129.
Step-by-step explanation:
There are a total of 80 people and out of them, 28 dance with their hands touching the floor. The probability of selecting a person who has their hands touching the floor while dancing can be computed as 28/80.
We are asked to computed the probability that four people are selected at random and all four of them dance with their hands touching the floor. The probability for selecting the first person is 28/80. For the second person, the total no. of people are now 79 and the people who can dance with their hands touching the floor are 27. So, the probability is 27/79. Similarly, for the third person, the probability is 26/78 and for the fourth person, the probability is 25/77.
So, the probability that all four people selected dance with their hands touching the floor is:
28/80 * 27/79 * 26/78 * 25/77 = 0.0129
Minimum of the data is ?, The first quartile is ?,
The median of the data is ?,
Third quartile is ?,
The Maximum of the data is ?
Answer:
Step-by-step explanation:
min= 40
q1=43
med=61
Q3=65
max=97
you just need to put data into the table and do 1-var stats for this problem
The minimum data value is: 40
The first quartile is: 43
The median data value is: 61
The third quartile is: 65
The maximum data value is: 97
The data is presented in a stem and leaf plot.
What is stem and leaf plot?A stem and leaf plot is a defined as table where values of data are split into a stem and leaf. The first digit or digits will be written in stem and the last digit will be written in leaf
According to the 1st row: 4 | 0 1 3
The weights are: 40, 41, 43
According to the 2nd row: 5 | 0 8
The weights are: 50, 58
According to the 3rd row: 6 | 1 2 3 5
The weights are: 61, 62, 63, 65
According to the 4th row: 7 | 8
The weight is: 78
According to the 6th row: 9 | 7
The weight is: 97
So, all the data for the weights are:
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
We can now determine the five-number summary as follows:
The minimum data value is: 40
(40), 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
The first quartile is: 43
40, 41, (43), 50, 58, 61, 62, 63, 65, 78, 97
The median data value is: 61
40, 41, 43, 50, 58, (61), 62, 63, 65, 78, 97
The third quartile is: 65
40, 41, 43, 50, 58, 61, 62, 63, (65), 78, 97
The maximum data value is: 97
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)
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Complete the sentence below with less than,
greater than or equal to.
The sum of the first 100 even natural numbers is
the sum of the first 101 odd
natural numbers.
Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
The sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
What is an even number?A number that is divisible by two into two equal whole numbers is called an even number. Even numbers are those that end in 0, 2, 4, 6, and 8.
The problem can be solved using the arithmetic sequence. The sum of the first 100 even numbers will be,
[tex]\text{Sum of first 100 even numbers} = \dfrac{100}{2} \times [2(2) +(100-1)2]=10,100[/tex]
The sum of the first 101 odd numbers will be,
[tex]\text{Sum of first 101 odd numbers} = \dfrac{101}{2} \times [2(1) +(101-1)2]=10,201[/tex]
Hence, the sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
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Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
Answer:
Sample Response: Scientific notation is used to represent very large and very small numbers. Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
im sorry that other person answered, well wierd but thats what im here for.
:)
A cereal box is 6 1/2 inches long ,3 1/2 inches wide , and 12 inches high .What is the volume of the box?
Answer:
273
Step-by-step explanation:
base (l times w) times height
Answer:
273 inch³
Step-by-step explanation:
v = l*h*w
v= 6 1/2 * 3 1/2 * 12
v= 13/2 * 7/2 * 12
v= 273
Use the X method to find the solutions of
6.x2 + 2x - 20 = 0.
X =
X=
Abel is 43 years old, and he owns his car, which he uses to get to work. His
collision deductible is $250, and he does not have comprehensive coverage.
If his car's safety rating is 22, how much does he pay each month for car
insurance?
I think it's 11.40
Step-by-step explanation:
hope it's right
Answer:
216.67
Step-by-step explanation:
In a lab, a substance was heated by 6 °C each hour for 60 hours. What was the total change
in temperature?
Final answer:
The total change in temperature when a substance is consistently heated by 6 °C each hour for 60 hours is 360 °C, calculated by multiplying the hourly temperature increase by the number of hours.
Explanation:
To calculate the total change in temperature when a substance is heated by a consistent amount over a period of time, you simply multiply the rate of temperature change per hour by the total number of hours. In this case, the substance was heated by 6 °C each hour for 60 hours. So, the calculation will be 6 °C/hour * 60 hours.
The total change in temperature is therefore 6 °C/hour * 60 hours = 360 °C. This calculation shows the cumulative effect of consistent heating over a certain period.
Which choice could be used in proving that the given triangles are similar?
What Is the slope of the line on the graph?
Answer:
1/2 or 0.5 either way they're both right
Step-by-step explanation:
The slope of the line is 1/2
The formula for calculating the slope of the line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, using the coordinate points (0, 2) and (-4, 0)
Get the slope using the coordinate;
[tex]m=\frac{0-2}{-4-0}\\m=\frac{-2}{-4}\\m=\frac{1}{2}[/tex]
Hence the slope of the line is 1/2
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The nth term of a sequence is n-4
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.
Answer:
Step-by-step explanation:
nth term = n - 4
A) 1st term = 1 - 4 = -3
2nd term = 2 - 4 = -2
3rd term = 3 - 4 = -1
First three terms are: -3, -2, -1
b) tenth term = 10 - 4 = 6
a) The first three terms of the sequence are -3, -2, and -1.
b) The tenth term of the sequence is 6.
a) To find the first three terms of the sequence with the nth term given as n - 4, we can substitute the values of n from 1 to 3 into the formula:For n = 1:nth term = n - 4 = 1 - 4 = -3For n = 2:nth term = n - 4 = 2 - 4 = -2For n = 3:nth term = n - 4 = 3 - 4 = -1So, the first three terms of the sequence are: -3, -2, -1.b) To find the tenth term of the sequence, we can again use the formula with n = 10:nth term = n - 4 = 10 - 4 = 6So, the tenth term of the sequence is 6.For more questions on sequence -
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Find the values of variables in DEFG
Please help show me how to solve this
Answer:
dav d
Step-by-step explanation:
Solve for k
3.1+k=5.67
Answer:
k =2.57
Step-by-step explanation:
3.1+k=5.67
Subtract 3.1 from each side
3.1-3.1+k=5.67-3.1
k =2.57
Answer:
k=2.57
Step-by-step explanation:
Okay so first things first we have to eliminate 3.1 so we can get the variable k by itself.
3.1+k=5.67
-3.1 -3.1
k=2.57
Just in case if you're confused we have to isolate thats why we were subtracting both sides by 3.1
(Hope you find this helpful ;w;)
[ 5,-8,2,y] - [x,7,11,4]=[-2,z,13,13] solve for x y and z
Answer:
[x, y, z] = [7, 17, -15]
Step-by-step explanation:
The list equation resolves to four equations involving corresponding list elements:
5 -x = -2 ⇒ x = 7
-8 -7 = z ⇒ z = -15
2 -11 = 13 ⇒ looks like a wrong sign somewhere; this is FALSE
y -4 = 13 ⇒ y = 17
_____
Comment on the question
Since one of the equations turns out to be false, it makes us suspect there may be typos in the others as well. YMMV
The circumference of a circle is 3.14 inches. Find the radius of the circle in inches. Round to the nearest whole number. Justify your answer. Please help me all my stuff is due Friday!
Answer:
0.5
Step-by-step explanation:
The formula for circumference is:
pi * d
3.14 = 3.14*d
1 = d
Since the radius is 1/2 of diameter, r = 0.5
The measure of angle M is_degrees.
Answer:
m=37
Step-by-step explanation:
The 2 angles are complementary, or add to 90 degrees. Wee know this because of the little square in the corner that indicates a right angle, which is equal to 90 degrees.
m+53=90
Solve for m by getting m by itself. To do this, subtract 53 from both sides to "reverse" the addition being done to m.
m+53-53=90-53
The 53s on the left cancel, and we are left with:
m=37
Answer:
M = 37°
Step-by-step explanation:
M + 53° = 90°
M = 90° - 53°
M = 37°
What is three and fourteen hundredths as a decimal number.
Answer:
3.14
Step-by-step explanation:
what is ( ⅚ -(⅓ )²)x ½
in a fraction please
Answer: 7/9
I hope that helps. That’s the answer I got.
Answer:
Step-by-step explanation:
[tex][ \frac{5}{6}-(\frac{1}{3})^{2}]*\frac{1}{2}=[\frac{5}{6}-\frac{1}{9}]*\frac{1}{2}\\\\=[\frac{5*3}{6*3}-\frac{1*2}{9*2}]*\frac{1}{2}\\\\=[\frac{15}{18}-\frac{2}{18}]*\frac{1}{2}\\\\=[\frac{15-2}{18}]*\frac{1}{2}\\\\=\frac{13}{18}*\frac{1}{2}\\\\=\frac{13}{36}[/tex]
20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER!
The figures in (a) and (b) below are made up of semicircles and quarter circles; The figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.
Answer:
https://brainly.com/question/8182874
Step-by-step explanation:
Answer:
Area: 5π/2 in²
Perimeter: (3π+2) in
step-by-step explanation:
Area =
larger semicircle + small semicircle
= ½(pi × r1²) + ½(pi × r2²)
r1 = 2 in
r2 = 2/2 = 1 in
Area:
½(pi × 2²) + ½(pi × 1²)
= 2pi + ½pi
= 5pi/2 in²
Perimeter:
½(2pi × r1) + ½(2pi × r2) + r1
½(2pi × 2) + ½(2pi × 1) + 2
2pi + pi + 2
3pi + 2
If the chance of rain is 80%, what is the likelihood of it raining?
Answer:
More likely
Step-by-step explanation: It wouldn't be likely because that is 100% of that happening
Answer:
It would be raining but not raining cats and dog and then goes away like 15-20 minutes. But the weather can change how much it is going to rain like if its hot and sunny at a high number it is 50 chance to not rain but if its like a low weather then its likely to rain.
I really hope this helps! But if it doesn't I'm sorry. (OwO)Which statement is true about the relative areas of triangle ABC and triangle XYZ is true
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The table shows the results of rolling a die 100 times. What was the average value per roll?
What is the opposite of the opposite of -7.5? Thank you
Answer: 7.5
Step-by-step explanation: It's negative, so the opposite would be positive.
Answer:
7.5
Step-by-step explanation
They are both matching integers
mark me brainliest if I helped:D
I really need help with 15 and 16 please
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
__
15. m = (250 N)/(5 m/s²) = 50 kg
__
16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
_____
Comment on units
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
Ben and Roberto each own stores that sell video games. A) Ben’s Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sale pack? What would 7 games cost at Ben's Game World? B) Roberto’s Electronics is also having a sale on video games. The unit price of any video game at Roberto’s Electronics is 3/5 of the unit price of a video game in the sale pack at Ben’s Game World. How much would it cost a customer for 7 video games at Roberto’s Electronics?
Ben- unit price is 10.95
7 games= 76.65
Roberto- unit price is 6.57
7 games= 45.99
The unit price of a video game at Ben's Game World is $10.95, and 7 games would cost $76.65. Video games at Roberto's Electronics would cost $6.57 per game after applying the discount, with 7 games totaling $45.99.
Explanation:The student has asked for help with finding the unit price of video games in a sale at Ben's Game World and comparing this to the cost of video games at Roberto's Electronics. We are given that Ben is selling a pack of 4 video games for $43.80. To find the unit price, we divide the total cost by the number of games.
Calculate the unit price of a video game at Ben's Game World by dividing the total pack price by the number of games in the pack: $43.80 / 4 games = $10.95 per game.To find the cost for 7 games at Ben's game store, multiply the unit price by 7: $10.95 * 7 games = $76.65.Roberto's Electronics sells video games at 3/5 the price of Ben's unit price. First, calculate this discounted unit price: $10.95 * (3/5) = $6.57.To find the cost for 7 games at Roberto's store, multiply this discounted unit price by 7: $6.57 * 7 games = $45.99.A manufacturer makes conical funnels for professional painters. The
funnels are formed from plastic with an 8-inch diameter base and height
of 9 inches. After the cones cool, a machine cuts off 1 inch of the tip to
leave a 1-inch diameter hole in the end. What is the volume of the funnel?
Round your answer to the nearest tenth and do NOT include units.
Answer: 151
Step-by-step explanation:
In this situation we have two cones, the big cone with volume [tex]V_{big}[/tex] and the small cone with volume [tex]V_{small}[/tex].
Now, if we want to know the total volume [tex]V_{T}[/tex] we have to substract [tex]V_{small}[/tex] from [tex]V_{big}[/tex], but first we have to calculate each volume:
For the big cone:
[tex]V_{big}=\frac{\pi R^{2} H}{3}[/tex]
Where:
[tex]R=\frac{Diameter}{2}=\frac{8 in}{2}=4 in[/tex]
[tex]H=9 in[/tex]
Then:
[tex]V_{big}=\frac{\pi (4 in)^{2} 9 in}{3}[/tex]
[tex]V_{big}=150.79 in^{3}[/tex] Volume of big cone
For the small cone:
[tex]V_{small}=\frac{\pi r^{2} h}{3}[/tex]
Where:
[tex]r=\frac{diameter}{2}=\frac{1 in}{2}=0.5 in[/tex]
[tex]h=1 in[/tex]
Then:
[tex]V_{small}=\frac{\pi (0.5 in)^{2} 1 in}{3}[/tex]
[tex]V_{small}=0.261 in^{3}[/tex] Volume of small cone
Calculating the total volume:
[tex]V_{T}=V_{big}-V_{small}[/tex]
[tex]V_{T}=150.79 in^{3}-0.261 in^{3}[/tex]
Finally:
[tex]V_{T}=150.52 in^{3} \approx 151 in^{3}[/tex]
Answer:
151 in^3
Step-by-step explanation:
Find the volume of the cones the subtract them to get your final answer