Answers
Answer:
68!
Step-by-step explanation:
Side c (side a being 32, and side b being 60) is equal to 68.
I like to use the Omni calculator for figuring out the missing side of the triangle (website)
hope this helps:)
Related Questions
A survey was done where boys and girls were asked if they would prefer to play inside or outside. The results of the survey are shown in the two-way frequency table.
Play inside Play outside
Boy 0.252 0.329
Girls 0.203 0.216
What percent of the boys surveyed prefer to play inside?
Enter your answer to the nearest tenth of a percent in the box.
%
Answers
Answer:
25.2% of the boys want to play inside
Step-by-step explanation:
Answer:
1/125 probability for each student so, a 0.8 percent probably of winning per student.
Step-by-step explanation:
The following two-way table represents data from a survey asking students whether they have visited alaska, hawaii, or both. a 4-column table with 3 rows. the first column has no label with entries hawaii, not hawaii, total. the second column is labeled alaska with entries 6, 8, 14. the third column is labeled not alaska with entries 15, 21, 36. the fourth column is labeled total with entries 21, 29, 50. what is the relative frequency for students who have been to alaska? what is the relative frequency for students who have been to hawaii but not alaska? what is the relative frequency for students who have not been to alaska or hawaii?
Answers
Relative frequency is frequency relative to some quantity, usually the marginal or total frequency. The needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The two way table given is:
Alaska Not Alaska Total
Hawaiii 6 15 21
Not Hawaii 8 21 29
Total 14 36 50
Calculating the needed relative frequencies one by one:
Case 1: The relative frequency for students who have been to Alaska
Total students who went to Alaska= 14Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 14/50
Case 2: The relative frequency for students who have been to Hawaii but not Alaska
Total students who went to Hawaii but not Alaska= 15Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 15/50
Case 3: The relative frequency for students who have not been to Alaska or Hawaii
Total students who haven't been to Alaska or Hawaii = total students's count - those who have been to both Hawaii and Alaska = 50 - 6 = 44Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 44/50
Thus, the needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
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In an amphitheater, there are 20 seats in the front row, 23 seats in the second row, 26 seats in the third row, and so on, in an arithmetic sequenc A) Write an explicit formula to find an. The number of seats in the nº row.
B) The last row in the amphitheater has 83 seats in it. How many rows a seats are there?
C) Write an expression using sigma notation that represents the total number of seats in the amphitheater.
D) Evaluate this expression. How many total seats are there?
Answers
For the given arithmetic sequence we have:
A) [tex]A_n = 20 + (n - 1)*3[/tex]B) 22 rows.C) [tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]D) There are 1,133 seats in total.How to write the formula for the sequence?
We know that we have 20 seats on the front row, and then we add 3 more on each row, so the formula will be:
[tex]A_n = 20 + (n - 1)*3[/tex]
This gives the number of seats on the n-th row.
B) The last row has 83 seats, then we need to solve:
[tex]A_n = 20 + (n - 1)*3 = 83\\\\(n - 1)*3 = 83 - 20 = 63\\\\n - 1 = 63/3 = 21\\\\n = 21 + 1 = 22[/tex]
So we conclude that there are 22 rows.
C) The total number of seats will be:
[tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]
D) Instead of using the sum above (we should add 22 terms) we use the general formula for the sum of N terms in an arithmetic sequence:
[tex]S_N = (N/2)*(2A_1 + (N - 1)*d)[/tex]
In this case, we replace N by 22, and d is the common difference of the sequence, which we know is equal to 3, so we wil have:
[tex]S_{22} = (22/2)*(2*20+ (22 - 1)*3) = 11*(40 + 21*3) = 1,133[/tex]
There are 1,133 seats in total.
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Expand and fully simplify 3(x + 1) + 2(3x + 4)
Answers
Answer:
[tex]\Large\boxed{\sf{9x+11}}[/tex]Step-by-step explanation:
Given:
Isolate the term of x from one side of the equation.
Use the distributive property.
DISTRIBUTIVE PROPERTY:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
Each term within the parentheses can be multiplied by a factor outside the parentheses.
3(x+1)
3*x=3x
3*1=3
Rewrite the expression down.
3x+3
3x+3+2(3x+4)
Multiply expand.
2(3x+4)
2*3x=6x
2*4=8
6x+8
3x+3+6x+8
Combine like terms.
3x+6x+3+8
Add the numbers from left to right.
3+8=11
3x+6x+11
Add.
Solutions:
3x+6x=9x
[tex]\Longrightarrow: \boxed{\sf{9x+11}}[/tex]
Therefore, the final answer is 9x+11.I hope this helps. Let me know if you have any questions.
M is the point (3, -3) and N is the point (7,5). P is a point on the line MN such that MP = 1/3MN. - (a) Find the position vector of P. (b) Calculate the magnitude of MN
Answers
Answer:
[tex]P=\left(\dfrac{13}{3},-\dfrac{1}{3}\right)[/tex]
[tex]|\overrightarrow{MN}|=4\sqrt{5}[/tex]
Step-by-step explanation:
Part (a)
[tex]x_P=\dfrac13(x_N-x_M)+x_M=\dfrac13(7-3)+3=\dfrac{13}{3}[/tex]
[tex]y_P=\dfrac13(y_N-y_M)+y_M=\dfrac13(5-(-3))+(-3)=-\dfrac13[/tex]
[tex]\implies P=\left(\dfrac{13}{3},-\dfrac{1}{3}\right)[/tex]
Part (b)
The magnitude of MN is the distance between points M and N.
Using the distance between two points formula, where
[tex](x_1,y_1)=(3,-3)[/tex] and [tex](x_2,y_2)=(7,5)[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\implies |\overrightarrow{MN}|=\sqrt{(7-3)^2+(5-(-3))^2}[/tex]
[tex]\implies |\overrightarrow{MN}|=4\sqrt{5}[/tex]
A game show contestant has answered 37 out of 44 trivia questions correctly so far. Solve the
90
equation
100
-
37 + 1 to find the number of consecutive questions the contestant needs to answer correctly to
44 + y
raise the correct answer percentage to 90%
Answers
Answer:
The contestant needs to answer the next 26 consecutive questions correctly.
Step-by-step explanation:
[tex] \frac{37 + x}{44 + x} = \frac{9}{10} [/tex]
[tex]9(44 + x) = 10(37 + x)[/tex]
[tex]396 + 9x = 370 + 10x[/tex]
[tex]x = 26[/tex]
The contestant needs to answer the next 26 consecutive questions correctly.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other.
In other words, the proportion states the equality of the two fractions or the ratios.
In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given that, a game show contestant has answered 37 out of 44 trivia questions correctly so far.
We need to solve an equation given to find the number of consecutive questions the contestant needs to answer correctly,
So, the equation is,
37+x / 44 + x = 90/100
37+x / 44 + x = 9/10
10(37+x) = 9(44+x)
370+10x = 396+9x
x = 26
Hence, the contestant needs to answer the next 26 consecutive questions correctly.
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A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards?
Answers
Answer:
3 1/3 yd^3
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
ft. = 1/3 yd.
3/3 = 1 yd.
6/3 = 2 yd.
5/3 = 1 2/3 yd.
1*2*1 2/3
=2* 1 2/3
=2 4/3
= 3 1/3 yd.^3
Matthew and Anthony each have a video game collection. The number of video games in Matthew’s collection can be represented by x. The number of video games in Anthony’s collection is 5 times the number in Matthew’s collection. The total number of video games in both collections is 72. What is x, the number of video games in Matthew’s collection?
Answers
The number of video games in Matthew’s collection is 12
To solve the problem, we need to know what simultaneous equations are
What are simultaneous equations?These are a pair of equations which contain two variables.
Now, let
x = number of video games in Matthew's collection and y = number of video games in Anthony's collection.Given that the number of video games in Anthony’s collection is 5 times the number in Matthew’s collection, we have that y = 5x (1)
Also, the total number of video games in both collections is 72.
So, x + y = 72 (2)
Substituting equation (1) into (2), we have
x + 5x = 72
6x = 72
x = 72/6
x = 12
So, the number of video games in Matthew’s collection is 12
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Julia uses a scale to weigh three identical stacks of coins.
• The scale has a maximum percent error of 3%.
• The scale says the weight of the first stack of coins is 10.0 ounces.
• The scale says the weight of the second stack of coins is 10.3 ounces
Rounded to the nearest tenth of an ounce, what is the greatest possible amount that the scale could say for the weight of the third stack of coins?
A. 9.7 ounces. b .10.0 ounces c.10.3 ounces D. 10.6 ounces
Answers
Answer: 10.6
Step-by-step explanation: it has a .3% increase each time, therefore it would be D. 10.6
Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hour. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system.
Answers
Answer:
Step-by-step explanation:
I did this before. I'm 14 :D
E-
y=20x
Eli ironed 2 more hours and got 400 shirts.
S-
y=35x
Let x be the number of shirts ironed.
400/20x = 20.
20-2=18.
That means she ironed 360 shirts prior.
If both of them were at the same speed of 18 by (let x represent). Then Samantha ironed 630 shirts while Eli ironed 360 shirts, but ironed 2 more hours which got him to get 400 shirts.
what are the solutions to the equation -5x2 + 3x = -9
Answers
Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−
Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0
Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0
Solution=3±321 over 10
Step-by-step explanation:
Answer: 1/3 as an equation
Step-by-step explanation: file attached
Round to the nearest tenth if necessary.
Find the distance between the two points.
(2, 5) and (–1, –5)
Answers
Distance formula: sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-1 -2)^2 + (-5-5)^2)
distance = sqrt(109)
Distance = 10.44
Find the slope of the line y=5x+4y=5x+4.
Answers
Answer:
[tex]\huge\boxed{\sf Slope = m = 5}[/tex]
Step-by-step explanation:
Given slope equation:
y = 5x + 4
Comparing it with the standard form of slope equation
y = mx + b
Where m is slope and b is y-intercept
Hence,
by comparing both equation, we get:
Slope = m = 5
[tex]\rule[225]{225}{2}[/tex]
|2x-5|=9 please awnser i need this for math
Answers
Answer:
7
Step-by-step explanation
2x = 14
divide by 2
FREE BRAINLIEST IF CORRECT: Write the following without the absolute value sign: |a^2| if a>0
Answers
Answer:
Step-by-step explanation:
When you square a number, whether it's positive or negative, the square is always positive. That is, a2 is positive whether a is positive or negative. Examples:
12 = 1 x 1 = 1
(-1)2 = (-1) x (-1) = 1
52 = 5 x 5 = 25
(-5)2 = (-5) x (-5) = 25
Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.
hope this helps can i get brainly pls
find the mean weight of 3,2,26,9
Answers
Answer:
10
Step-by-step explanation:
Add all the numbers : 3+2+26+9 = 40
Divide the total with the number of data you have which is 4 so 40÷4= 10
HELP ASAP!!! Reflect the triangle across the dashed line and enter the new coordinates. Enter the number that belongs in the green box. ALL ANSWERS PLEASE!!! WILL MARK BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
The triangle is being reflected over the y-axis.
The rule for a reflection over the y-axis is (x, y) → (x, -y)This means that the x-values stay the same while the y-values change.A(x, y) → (x, -y)
A(1, 4) → (1, -4)
A'(1, -4)
B(x, y) → (x, -y)
B(4, 3) → (4, -3)
B'(4, -3)
C(x, y) → (x, -y)
C(2, 1) → (2, -1)
C'(2, -1)
Hope this helps!
If 140 people were surveyed, how many preferred crab?
Answers
If 140 people were surveyed, from the given table, the number of people that preferred crab is; 42
How to work with percentages?We are given;
Total sample size; n = 140
Now, from the table we see the percentages that preffered each seafood.
Percentage that preferred Shrimp = 24%
Percentage that preferred Crab = 30%
Percentage that preferred Fish = 36%
Percentage that preferred Neither = 10%
Thus;
Number that preferred Crab = 30% * 140
Number that preferred Crab = 42 people
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The rectangular prism below has a total surface area of 158 in^2. Use the net below to determine the missing dimension, x
A. 6 in
B. 8 in
C. 12in
D. 10 in
Answers
Answer:
b
Step-by-step explanation:
How many minutes should I spend on each question with a 75 question test and a 3 and a half hour time limit?
Answers
you should try to keep it under 5 minutes.
since there will be easier ones and harder ones, its ok to take up to 10 minutes on a test as long a you try to get the easy ones done first. if you can skip questions then go back to them later, do the hardest ones first thengo back and do the easier ones afterwards.
Try to take your time when you need to. if you get stuck, think about what it says. Try to think of it another way. You also want to get as much done as you can, this is because if you miss 5-10 questions, the grade could be seriously decreased, as you might have gotten a few other questions wrong.
Make sure to do a "QC" as I call it; or a "Quick Check." If it looks good and it's reasonable then you are fine to move on. it it doesnt look right, retrace your steps. Then rewrite it if you got something else on your next try for the QC.
I hope you do good!
May luck be with you!
0/1 Hannah went to the store and spent $14. 69 on a book, $20. 99 on a shirt, and $5. 99 on a pack of pencils. If she paid with a $50 bill, what would be her change? Do not use a calculator. Don't forget a Dollar Sign $!
Answers
Answer:
$8.33
Step-by-step explanation:
$14.69 50.00
+ $20.99 - 41.67
=35.68 = $8.33
+5.99
=$41.67
A cone has a height of 6 yards and a radius of 3 yards. What is its volume? Use 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
V = 56.52
Step-by-step explanation:
Formiula
V = (1/3) * pi * r^2 * h
Givens
pi = 3.14
r = 3 yard
h = 6 yards
Solution
V = (1/3) * 3.14 * 3^2 * 6 Multiply 1/3 * 6
V = 2 * 3.14 * 9
V = 56.52
Keith bought a tree for his backyard. The graph shows the height of the tree after a certain number of years.
A. At what rate is the tree growing?
B. Write an equation for the graph.
C. Is the graph proportional?
Answers
Answer:18
Step-by-step explanation:
Its is 18 caycausecause the arrow is pointing next to it
1
What is true about the solution(s) to this system of linear equations?
On a coordinate plane, the same line has equation y = one-fourth (x minus 4) and y = one-fourth x minus 1).
The solution is (4,0).
There is no solution.
The solution is (0,−1).
There are infinitely many solutions.
Answers
The options that are true about the system of linear equations are;
A) The solution is (4,0).
C) The solution is (0,−1).
D) There are infinitely many solutions.
What is the solution to the linear equation graph?From the given linear equation graph, we see that the linear equation that is graphed is given by;
y = ¹/₄x - 1
Now, the solution to the given equation will be the value of x that corresponds with the value of y when traced on the graph.
Let us access (4, 0)
At x = 4, we have;
y = ¹/₄(4) - 1
y = 0
Thus, (4, 0) is a solution of the graph.
Let us access (0, -1)
At x = 0, we have;
y = ¹/₄(0) - 1
y = -1
Thus, there are many solutions to the graph
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the sign below shows the length of a trail park 3 1/4miles what is the length , in feet of the trail
Answers
Answer: 17160 feet
Step-by-step explanation: Convert 3.25miles to feet. Multiply by 5280
How much lower is -124 than 2,194
Answers
Answer: -124 - 2,194= -2408
(I think this is right, but if not i'm sorry!)
Answer: 2318
Step-by-step explanation: 2194- (-124)=
2318
The value of y varies directly with x, and when x = y = 25. What is the value of
HELP A GIRL OUT
Answers
Answer:
A 233.3 or 233 1/3
Step-by-step explanation:
X =1/4
Y =25
1/4 X 100= 25
2 1/3 X 100= 233.3
I’m struggling with this question need some help
Answers
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
how can i simplify 11 to the 6th power over 11 to the 4th power?
Answers
Answer:
11² = 121
Step-by-step explanation:
When you divide powers with the same base, subtract the exponents.
[tex] \dfrac{11^6}{11^4} = 11^{6 - 4} = 11^2 = 121 [/tex]
Answer:
121
Step-by-step explanation:
11 to the 6 power = 1771561
11 to the 4 power = 14641
1771561/14641 = 121
Which expression is equivalent to 5/8?
A. 8÷5
B. 8×5
C. 5÷8
D. 5×8
Answers
A fraction is equavalent to the top number divided by the bottom number.
5/8 is equivalent to 5 ÷ 8
Answer: C. 5 ÷ 8