Answer:The sample was taken at a specific movie, which will skew the data towards that type of movie.
Step-by-step explanation:
Which dimensions can create only one unique triangle?
A.) 3 angles measuring 75 degrees, 45 degrees, and 50 degrees
B.) 3 sides measuring 14 m, 11 m, and 18 m
C.) 3 angles measuring 40 degrees, 50 degrees, and 60 degrees
D.) 3 sides measuring 3 cm, 4 cm, and 8 cm
Answer:
B)
Step-by-step explanation:
A, C, and D multiple choice answers have no chance of becoming a triangle because the lengths don't add up to either 180 or 90. Also, Triangle B follows the rule that 2 sides and be greater than the other side.
Answer: Choice B)
3 sides measuring 14 m, 11 m, and 18 m
=================================================
Explanation:
Let's go through choices A through D to see which result in one unique triangle, or could produce (infinitely) many triangles, or produce no triangles at all.
Choice A produces no triangles at all. Why is this? The angles don't add up to 180. We see that 75+45+50 = 170. The three angles must add to 180 degrees for a triangle to form. Choice B produces one single triangle, which is why it's the final answer. The triangle inequality theorem can be used here to show that a triangle can be formed. The SSS (side side side) congruence theorem is then used to show that exactly one unique triangle is possible. Choice C is a similar story to choice A. We can rule it out. This time we have the angles add to 40+50+60 = 150 which is short of 180.Choice D can be ruled out too. The two sides a = 3 and b = 4 add to a+b = 3+4 = 7, but that's smaller than c = 8. We must have a+b > c to be true if we wanted to form a triangle. For more info, see the triangle inequality theorem.Even if the angles did add to 180 (for either choice A or choice C), then we'd have infinitely many triangles and not one unique triangle. Think of dilating the triangles and how each dilated image retains the same angles. In other words, the triangles keep the same shape. Simply knowing the three angles is not enough info to create one unique triangle. We would need to know some info about the sides. This explains why AA or AAA is not a congruence theorem.
Apple and cranberry juice are mixed in a ratio of 5 to 3. What amount of each juice would be needed to make a 64-fluid ounce pitcher of apple-cranberry juice?
Answer:
32
Step-by-step explanation:
64/2=32
Answer:
[tex]\text{Apple juice needed: }40\:\mathrm{oz},\\\text{Cranberry juice needed: }24\:\mathrm{oz}[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the amount of apple juice needed, in ounces. Let [tex]c[/tex] be the amount of cranberry juice needed, in ounces. We can set up the following system of equations:
[tex]\begin{cases}a=\frac{5}{3}c, \\a+c=64\end{cases}[/tex]
Solving, we get:
[tex]\frac{5}{3}c+c=64,\\\\\frac{8}{3}c=64,\\\\c=\frac{64\cdot 3}{8}=\boxed{24\:\mathrm{oz}}[/tex]
[tex]a=\frac{5}{3}c,\\\\a=\frac{5}{3}(24),\\\\a=\boxed{40\:\mathrm{oz}}[/tex]
pls answer I will give brainiest to first response
Answer:
Number 1: 1, 3, 5, 7 (or 4)
Number 2: 2, 4, 6, 8 (or 4)
Number 3: 1
Number 4: 2
Number 5: 1, 2, 3, 4, 5, 6, 8 (or 88%)
Number 6: 2, 3, 4 , 5, 6, 7, 8 (or 88%)
Help me save my life from this terrifying math problem
What is an example of a pair of complementary angles?
1: 13° and 45°
2: 10° and 170°
3: 81° and 9°
4: 90° and 3°
Jason has sport cards in his pocket. He has three football cards, one wrestling card and two baseball cards. If Jason reaches into his pocket and selects one card, what is the probability he will get a baseball card? Show your answer in lowest terms.
Answer:
In lowest terms, there is a 1/3 probability of Jason pulling out a baseball card.
Step-by-step explanation:
There are a total of 6 cards. 4/6 of them are football and wrestling which results in 2 baseball cards. So the probability is 2/6 but since the question wants it in lowest terms, you would have to simplfy 2/6. Divide the top by 2 and the bottom by 2 which gets you 1/3.
Perform the operation, Enter your answer in scientific notation.
7 x 10² – 5.5 x 10²
Answer:
150 or 15^1
Step-by-step explanation:
How do you multiply a fraction by a whole number?
Multiply the top number of the fraction by the whole number and then place that over the lower number of the fraction. Then you can see if the new fraction can be reduced or rewritten as a proper fraction.
Example:
1/2 x 3 would be (1 x3) / 2 = 3/2 which can be rewritten as 1 1/2
Example: [tex]\frac{2}{5}*10=\frac{2}{5}*\frac{10}{1}=\frac{20}{5}=4[/tex]
How much you can save?
Answer:
100 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Dean is saving up change so he can go to the arcade with 100 quarters. If he has 363 pennies, 200 nickels, and 23 dimes. How much more money must he save?
A. $ 9.12
B. $ 10.23
C. $ 7.44
D. $ 9.07
Which set has a domain of {2,3} and a range of {5,8}?
Answer:
Step-by-step explanation:
C
pls help me need help fast
Answer:
x = 5
Step-by-step explanation:
6*(2x+8) = 108
12x + 48 = 108
x =60/12
x = 5
Answer:
x = 5 units
Step-by-step explanation:
The area of a rectangle equals length times widths, therefore we can use the information from the question to make the following equation...
108 = (2x + 8)(6)
Now we just solve the equation and get...
108 = (2x + 8)(6)
108 = 12x + 48
12x = 108 - 48
12x = 60
x = 60 / 12
x = 5
Therefore, x = 5 units.
Stan es.pdf Open u 1) Mary has more than 2 pennies in her pocket. + + + + + -5 -4 -3 -2 -1 0 1 2 3 4 5 Inequality: The dot is on because The dot is open/closed because T The arrow points towards the positives/negatives because Т. be 3. Simon has least 1
Step-by-step explanation:
All numbers belong to the set of numbers known as the real number system. The real number system consists of
every number you have ever dealt with since you were old enough to count. The numbers in the real number system
are divided into two main groups. One group is called the rational numbers and the other is called the irrational
numbers. The set of irrational numbers consists of all numbers that are not rational. This set of irrational numbers
includes those numbers that cannot be written as the ratio of two integers, non-remediate numbers.
and decimals that do not have a repeating pattern of digits. For example, pi(π),
√
2,−2.345876921... are irrational
numbers.
The set of rational numbers includes natural numbers, whole numbers, integers, numbers that can be expressed as
the ratio of two integers, a decimal number that terminates, and decimal numbers that have a repeating pattern of digits.
The natural numbers are the set of positive integers. For example, 1, 2, 3. . . are all natural numbers. The whole
numbers are the natural numbers and zero. For example, 0, 1, 2, 3. . . are all whole numbers. The integers are
the whole numbers and their opposites. For example, -2, -1, 0, 1, 2. . . are all integers. A rational number is any
number that can be expressed in the form of a
b where b 6= 0. When a rational number is expressed as a decimal, it
decimal will terminate (end) or For example, 1
2
,
√
81,−7.456 545 654 are
all rational numbers.
When you classify numbers remember that they can often belong to more than one set of numbers. If you think of
the number 3, you can call it a natural number, a whole number, an integer and a rational number.
The following table may help you to better understand the real number system.
Solve 7/4x + 5/6=4/3x - 3 for x
Answer:
x=-46/5
Step-by-step explanation:
1. subtract either 5/6 or add 3 for each side.
2. combine terms
3. x=-46/5
Help asap, best explained or best answer given will get brainliest :p
What is the slope of a line of best fit if its equation is y = −8x + 9?
1 over 9
Negative 1 over 8
−8
9
Answer:Answer: -8
Step-by-step explanation:The answer is -8 because that is the number in the m spot in y = mx + b
- 7th Grade Work -
Can someone please help me? I really need it.
Answer:
RentNSave is 0.05x+2.5 more
Step-by-step explanation:
someone plz help asap
Find :-
Equivalent to 1/27Explanation= 1/27
= 1/(3×3×3)
= 1/3³
= 3^(-3)
SinceYour answer will be option number (C.)Veryfication
Our option (c). be like 3^(-4) . 3^7
Now, we explain our ans.
= 3^(-4).3^7
Using Formula
★ a^m × a^n = a^(m + n)
So,
= 3^(-4+7)
= 3^(-3) .
proved.
___________Pls help me! Thanks!
0+7=7
1+7=8
2+7=9
3+7=10
4+7=11
5+7=12
We can find patterns.
So the answer would be +7.
In a linear function, which of the following represents the average rate of change of the function?
slope
y-intercept
independent variable
dependent variable
The slope represents the rate of change
can the counting principle be used to help you figure out the number of favorable outcomes? Why or why not
Answer:
Um i dont think so
Step-by-step explanation:
Answer:You can use the Counting Principle to find probabilities of events. The probability of any event is equal to the ratio of favorable outcomes to the total number of equally likely possible outcomes. Favorable outcomes are the outcomes you are looking for.
Step-by-step explanation:
Tyler’s class played the block game using purple, orange, and yellow bags of blocks.
- During round 1, Tyler’s group picked 4 purple blocks and 12 blocks of other colors.
- During round 2, Tyler’s group picked 11 orange blocks and 5 blocks of other colors.
- During round 3, Tyler forgot to record how many yellow blocks his group picked.
For a final round, Tyler’s group can pick one block from any of the three bags. Tyler’s group decides that picking from the orange bag would give them the best chance of winning, and that picking from the purple bag would give them the worst chance of winning. What results from the yellow bag could have lead Tyler’s group to this conclusion? Explain your reasoning.
Answer:
A
Step-by-step explanation:
- During round 1, Tyler’s group picked 4 purple blocks and 12 blocks of other colors.
Please help! Thanks!
The answer is 2. I hope this helps.
What is the length of the paintbrush in centimeters?
A. 16,200 cm
B. 1,620 cm
C. 16.2 cm
D. 0.162 cm
Answer:
if the length of the brush is = 16.2m
then in cm it is 1,620cm
(THIS IS 6TH GRADE MATH) WHATS THE EXPRESSION FOR THESE
Someone pls explain how to do this-
Answer:
3,6,6,9 (6 is not a function and has been repeated twice)
-1,-2,-5,-7
sorry if their wrong id.rk
Answer:
6 is wrong
Step-by-step explanation:
Please answer question below
please help i need this explained to me, show work and i’ll give brainlest!!
Answer:
40 minutes.
Step-by-step explanation:
First, you divide 30 minutes by 6 miles, so you can see how long it takes to complete 1 mile. It takes 5 minutes. Now, multiply 8 by 5 and you get 40 minutes.
Answer:
30 mins ---- 6 miles
? mins ---- 8 miles
30 mins - 6 miles
40 mins - 7 miles
50 mins - 8 miles
PLEASE HELP THIS IS VERY IMPORTANT
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
The scale of the graph is 1.
Point A → (4, 3)
Point E → (-5, 3)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-5-4)^2+(3-3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(0)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81 + 0}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{81}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 9[/tex]A man is trying to zombie-proof his house. He wants to cut a length of wood that will brace a door against a wall. The wall is 4 feet away from the door, and he wants the brace to rest 2 feet up the door. About how long should he cut the brace?
Answer:
Assuming you're rounding to the nearest tenth, he should cut the brace 4.5 feet long.
Step-by-step explanation:
Since this is a right triangle, you can use the a^2 + b^2 = c^2 easily.
You can use either 2 or 4 as the a or the b.
After filling in the equation, 2^2 + 4^2 = c^2, you can calculate it to find it is 4 + 16 = c^2.
If you add 16 + 4, you get 20. So now, you need to find the square root of 20 which is 4.4721 but if you round to the nearest tenth, you get 4.5^2.
He should cut the brace to 4.5 square feet.
I hope this helps :))