Answer:
∠1 & ∠3 = 68°
∠2 & ∠4 = 112°
Step-by-step explanation:
180 degrees is the total sum of the angles in a triangle.
180 - 68 = 112
Does a triangle with these side lengths exist?
28, 41, 13
Answer:
No
Step-by-step explanation:
it doesnt add up to 180 degrees
Use the triangle inequality theorem.
Add two sides together and see if it is greater than the length of the 3rd side:
28 + 41 = 69 which is greater than 13
41 + 13 = 54 which is greater than 28
28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41
Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
*I will give you 48 POINTS AND BRAIN-LEST*
What combination of transformations is shown below?
Answer:
B. or the second one
Step-by-step explanation:
Solve. *25 points*
1/2 divided by 2/3 =?
Answer:
The answer is 3/4
Step-by-step explanation:
When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.
Reflect triangle A in the line Y = 1
Answer:
(1,2); (4,4); (1,4)
Step-by-step explanation:
Just reflect it directly across the y axis starting at x=1.
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
4.2+7/20=420/100+BLANK/100
Answer:
4.2=420/100
4.2-4.2=0
7/20=x/100
x=5×7=35
Distribute 6 ( 0.4x + 5)
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?
Answer:
I believe this could happen 27 different ways.
Step-by-step explanation:
a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
can u please help me
Answer:
(a) x=45°
(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Step-by-step explanation:
(a)
Angles in a quadrilateral add to 360:
<A+<B+<C+<D=360
2x+90+x+3x=360
6x=270
x=45°
(b)
If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Answer: Step-by-step explanation:
3x+2x+x=360-90
6x=270
x=45
∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC
Write 1.5 : 6 as a whole number ratio in it's simplest from.
Answer: 1.5 : 6 = 1 : 4
Step-by-step explanation: Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
1.5 : 6 = 15 : 60
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 15 and 60 is 15
Divide both terms by the GCF, 15:
15 ÷ 15 = 1
60 ÷ 15 = 4
The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :
15 : 60 = 1 : 4
Therefore:
1.5 : 6 = 1 : 4
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
What is 15/7 an mixed number
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
three times four and four fifths
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
Answer the question please
3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes
Answer:
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
First coin Second coin outcome
H T HT
T H TH
T T TT
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km. x squared divided by 357 plus y squared divided by 710 equals 1 x squared divided by 1669 squared plus y squared divided by 1316 squared equals 1 x squared divided by 1316 squared plus y squared divided by 1669 squared equals 1 x squared divided by 710 plus y squared divided by 357 equals 1
Answer:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
does anyone know the answer for this?
Answer:
8 cm
Step-by-step explanation:
The area of the shaded portion is:
[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]
A=39π cm^2
r1 is the radius of the large circle
r2=5 cm
So,
[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]
The value of which of these expressions is closest to e ?
Answer: B.
Step-by-step explanation: took the quiz.
WILL MAKE BRAINLIEST!!
find the slope of each line
Answer:
17) [tex]- \frac{3}{2}[/tex]
18) [tex]\frac{5}{4}[/tex]
19) [tex]-\frac{1}{2}[/tex]
20) [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
y = (x , y)
x = (x , y)
slope = m
b = y-intercept
~
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
17) -4y + 16 = 6x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 16 from both sides of the equation:
-4y + 16 (-16) = 6x (-16)
-4y = 6x- 16
Next, divide -4 from both sides of the equation:
(-4y)/-4 = (6x - 16)/-4
y = (6x)/-4 + (-16)/-4
y = -3x/2 + 4
Slope: [tex]-\frac{3}{2}[/tex]
~
18) 0 = -12y -36 + 15x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 12y to both sides of the equation:
0 (+12y) = - 12y (+12y) + 15x - 36
12y = 15x - 36
Next, divide 12 from both sides of the equation to isolate the variable, y:
(12y)/12 = (15x - 36)/12
y = (5/4)x - 3
Slope: [tex]\frac{5}{4}[/tex]
~
19) 3x = -6y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -6 from both sides of the equation:
(3x)/-6 = (-6y)/-6
y = 3x/-6
y = -(3/6)x
Simplify. Divide common factors from both the numerator and denominator.
-(3/6)/(3/3) = - 1/2
Slope: [tex]-\frac{1}{2}[/tex]
~
20) -2x -5 = -5y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -5 from both sides of the equation:
(-2x - 5)/-5 = (-5y)/-5
y = (-2x - 5)/-5
y = (2/5)x + 1
Slope: [tex]\frac{2}{5}[/tex]
what is the distance of between (-5,8) and (12,8)
plz help
Answer:
17
Step-by-step explanation:
-5 is 17 points away from 12.
7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?
a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?
The probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/tex].
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes
The outcomes that the sum is greater than 12
6 and 12, 6 and 15, 12 and 15, 0 and 15
So the probability that the sum is greater than 12 is
= [tex]\frac{4}{C^{2} _{4} }[/tex]
= [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
The outcomes that the product is 72: 6 and 12
So the probability is
= [tex]\frac{1}{C^{2} _{4} }[/tex]
= [tex]\frac{1}{6}[/tex]
Hence, the probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/tex].
Find out more information about probability here
https://brainly.com/question/11234923
#SPJ2
9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.
Answer:
9
Step-by-step explanation:
At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.
We can figure this out by using the slope formula.
[tex](y^2-y^1)/(x^2-x^1)[/tex]
We plug in values to get:
[tex](28-10)/(2-0)[/tex]
18 / 2
9
3.2468 rounded to the nearest tenth.
please help me
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
what is 23^a x 23^b= Pls I need the answer
Answer:
23^(a+b)
Step-by-step explanation:
23^a x 23^b =23^(a+b)
What is the area of a circle that has the diameter of 4?
Answer:
Hello! answer: 12.56
Step-by-step explanation:
Area for circles is found be doing
radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4
4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!