Answers
Answer:
√(243)
Step-by-step explanation:
a2+b2=c2
c2 = Hypotenuse
a2 = Leg
b2 = Second Leg
givens
18 = c2 = Hypotenuse
9 = a2 = One Leg
9 sqaured + b squared = 18 squared
81 + b squared = 324
-81 -81
---------------------------------
b squared = 243
b = square root 243
b = √(243)
Related Questions
helpp me please
Find the missing term.
The roots of x2 − ( ) + 34 are 5 ± 3i.
Answers
Answer: 10
Step-by-step explanation:
The sum of the roots is \((5+3i)+(5-3i)=10\), so the answer is 10
rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answers
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
takes a smaller hose 4 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 20 minutes to fill the
Swimming pool. How long will it take the smaller hose to fill the pool by itself?
Do not do any rounding
Answers
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answers
Answer:
95 is the answer I took the test
A dolphin swims 15 feet below sea level, and then jumps 4 feet above sea level. How far did the dolphin rise?
Answers
Answer:
19 feet
Step-by-step explanation:
The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.
Write this in expanded form and find the sum.
Answers
9514 1404 393
Answer:
(c) 5 +15/4 +45/16 +135/64 +...; 20
Step-by-step explanation:
The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...
5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum
Of course, the terms are ...
5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...
= 5 + 15/4 + 45/16 +135/64 + ... . . . series
Together, these observations match choice C.
Estimate the line of best fit using two points on the line. 10- 8765SYON- +H+H+ -H ● IM (7.4) (10,2) 8 9 10
Answers
The equation of the line of best fit is: y = (-2/3)x + 26/3
To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the points:
m = (2 - 4) / (10 - 7)
m = -2 / 3
Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):
4 = (-2/3)(7) + b
4 = -14/3 + b
To find the value of b, we can rearrange the equation:
b = 4 + 14/3
b = 12/3 + 14/3
b = 26/3
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- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
Answers
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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Select all the fractions that are equivalent to a whole number.
1. 9/3
2. -16/8
3. 7/0
4. -5/3
5. 0/5
Answers
Why? Because 7/0 is the same as 7 which is a whole
Another math problem. Can you solve it? I can't... For a good answer I'll make it 'The Best' I hope you can help me
x² + x² + x² = x² + x²
² as in times by itself e.g. 8² is 64 (8 x 8)
Answers
Answer:
x = 0
Step-by-step explanation:
Let's simplify first:
x² + x² + x² = x² + x² =>
3x² = 2x² =>
3x² - 2x² = 0 =>
x² = 0
x = √0 = 0
Help please please please ok
Answers
Answer:
6h +210
Step-by-step explanation:
6 x h = 6h
3.5 x 6 = 210
The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
Answers
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!)
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.
Jersey Color Percentage of Players
Yellow 0.45
Blue 0.25
White 0.30
Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).
Answers
To compare the probabilities of a randomly selected player wearing a certain jersey color, we can examine the percentages provided in the table.
The probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood is the player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow). a.
According to the table, the probabilities of wearing each color jersey are as follows:
P(Yellow) = 0.45
P(Blue) = 0.25
P(White) = 0.30
Comparing these probabilities, we can determine the likelihood of a player wearing a certain jersey color.
From the given probabilities, we can conclude that the player will be more likely to wear a yellow jersey than a blue jersey because P(Yellow) > P(Blue). (0.45 > 0.25)
The statement "The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow)" is incorrect.
The probability of wearing a yellow jersey (0.45) is higher than the probability of wearing a white jersey (0.30).
Additionally, the statement "The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue)" is also incorrect. The probability of wearing a blue jersey (0.25) is lower than the probability of wearing a white jersey (0.30).
Lastly, the statement "The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White)" is also incorrect. The probability of wearing a yellow jersey (0.45) is different from the probability of wearing a white jersey (0.30).
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What is the greatest number of pencils that can be bought for $4.15?
Answers
Answer
24
Step-by-step explanation:
work out the area of this circle take pi to be 3.142 and write down all the digits given by your calculator diameter 13cm
Answers
Area of circle of diameter with 13cm is 132.74
What is area of circle?
The space a circle takes up in a two-dimensional plane is known as the area of the circle.Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r², where r is the circle's radius, is the formula for calculating a circle's surface area. The square unit—for instance, m², cm², in², etc.—is the unit of area. In square units, the area of a circle is equal to r² or d²/4 where (Pi) = 22/7 or 3.14. The ratio of a circle's circumference to its diameter is known as pi (). This unique mathematical constant exists.Given :
Diameter of circle, d = 13cm
Radius of a circle, r = d/2
=13/2
=6.5
Area of circle = πr²
= 3.142 * 6.5 * 6.5
= 132.74
Hence, the Area of circle of diameter with 13cm is 132.74.
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-
how many fractions
Should you have?
13. Mrs. Smith surveys her class about having a dog or cat. 75% of students have a dog
82% have a cat, and 65% have both a dog and a cat. What is the probability that a stude
has a dog or a cat?
what does
Or
mecn ?/75
(299
182
Answers
According to the given statements;
Probability that a student has a dog or a cat is 92%.
What is probabilty?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.
According to the given value,
student having dog= 75%
student having cat= 82%
probability that a student has a dog or a cat
P(dog or cat) = .75 + .82 - .65
P(dog or cat) = .92 = 92%
Hence , probability that a student has a dog or a cat is 92%
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Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds): 6,6, 10, 6, 8, 7, 14, 12 Find the median and mean weights of these cats. If necessary, round your answers to the nearest tenth. Median: pounds Х X ? Mean: pounds
Answers
Answer:
Median: 7.5
Mean: 8.6
Step-by-step explanation:
Median = the average of the 2 middle numbers of the set in ascending order, 6, 6, 6, 7, 8, 10, 12, 14
(7+8)/2 = 2
Mean = the sum of the numbers divided by the number of values
6 + 6+ 6+ 7 +8 +10 +12 +14/8
69/8
8.625
As shown in the diagram below, the angle ofelevation from a point on the ground to the top ofthe tree is 34º.
Answers
The height of the tree can be found as follows:
Step 1: Make a well labelled sketch of the situation, in mathematical terms, as below:
Step 2: Apply the appropriate trigonometric ratio that will help solve for the unknown side of the triangle, as follows:
\(\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \text{with respect to the 34}^o,\text{ we have:} \\ \text{opposite}=h \\ \text{adjacent =20} \\ \text{Thus:} \\ \tan 34^o=\frac{h}{20} \\ 20\times\tan 34^o=h \\ h=20\times\tan 34^o \\ \sin ce\text{ }\tan 34^o=0.6745 \\ \text{Therefore:} \\ h=20\times0.6745\text{ =13.49} \\ h=13.5ft\text{ (to the nearest tenth of a foot)} \end{gathered}\)Therefore, the height of the tree is 13.5 ft
Work out m and c for the line:
y = x + 6
Answers
Step-by-step explanation:
Given equation
y = x + 6
Comparing the given equation with y = mx + c so
slope (m) = 1
y-intercept (c) = 6
Hope it will help :)❤
1.156÷106
Please help
Will give 20 points whoever gets this right
Thank you :)
Answers
Answer:
0.0109056604
that is the answer, I used a calculator
in chess, the knight (the piece shaped like a horse) moves in an L pattern.
Answers
Answer:
That is true but still remember that playing the knight at the start can be very useful.
Express as a product. 1+2cos a
Answers
Answer:
Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).
1 + 2cos a = 2(cos a/2 + 1)
Step-by-step explanation:
We can use the trigonometric identity:
cos 2a = 1 - 2 sin^2 a
to rewrite 1 + 2cos a as:
1 + 2cos a = 1 + 2(1 - sin^2 a/2)
= 1 + 2 - 2(sin^2 a/2)
= 3 - 2(sin^2 a/2)
Now, using another trigonometric identity:
sin a = 2 sin(a/2) cos(a/2)
we can rewrite sin^2 a/2 as:
sin^2 a/2 = (1 - cos a)/2
Substituting this into the expression for 1 + 2cos a, we get:
1 + 2cos a = 3 - 2((1 - cos a)/2)
= 3 - (1 - cos a)
= 2 + cos a
Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).
1 + 2cos a = 2(cos a/2 + 1)
The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answers
Answer:
20/6 or 10/3
Step-by-step explanation:
hi i need to do a math that is in unit form
1. 259
2.814
3.553
Answers
If $22,000 is invested in an account earning 4.5% interest compounded continuously,
determine how long it will take the money to quadruple. Round to the nearest year.
Use the model A = Pet where A represents the future value of P dollars invested at
an interest rate r compounded continuously for t years.
OA) 31 years
B) 36 years
C) 3 years
D) 308 years
Answers
Answer:
approx 32years so pick answer A
Step-by-step explanation:
22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979
Solve for x
(2^2/x) (2^4/x) = 2^12
Answers
\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)
Now, since the base on both sides are equal, therefore their exponents are equal as well ~
\(\qquad \sf \dashrightarrow \: \dfrac{6}{x} = 12\)
\(\qquad \sf \dashrightarrow \:x = \dfrac{6}{12} \)
\(\qquad \sf \dashrightarrow \:x = \dfrac{1}{2} \)
or
\(\qquad \sf \dashrightarrow \:x = 0.5\)
Hope you got the required Answer ~
3.5 cm
6 cm
3.5 cm that is my question I don’t understand it’s something. With pyramids
Answers
Based on the information provided, the volume of the pyramid would be 5308.33 cubic centimeters.
How to calculate the volume of a pyramid?The volume or the space occupied by the pyramid can be calculated using the following formula
V=(1/3)Ah
In this formula, A is the area of the base and h is the height.
Area of the base: 6.5 x 3.5 = 22.75 squared centimeters.
Now, let's calculate the volume:
V = (1/3)*22.75 x 700 cm = 5308.33 cm^3 (Cubic centimeters)
Here 1 meter = 100 cm, then 7 m = 700 cm
Note: This question is incomplete; here is the missing information:
The base of a pyramid is 6.5 cm by 3.5cm and its height is 7m. What is its volume?
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What is the slope of the equation y=5/4x-7/4?
Answers
Answer:
\(\Large \boxed{\frac{5}{4} }\)
Step-by-step explanation:
The slope - intercept form of a line is written in the form :
\(\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept\)
The slope of the line is 5/4.
5/4
..............
Elizabeth has 8 ounces of chopped vegetables in a mixing bowl. She needs to have a minimum of 50 ounces for a party-sized salad recipe. The measuring cup Elizabeth uses holds 3 ounces.
Write an inequality that can be used to find the number of times, x, that Elizabeth should fill the measuring cup with chopped vegetables in order to follow the recipe. Solve the inequality, and graph the solution set in the space below. Show your work.
Answers
Answer:
the inequality is 50 = 3x -8 because Elizabeth needs 50 ounces but she already has 8 ounces, so you would have to subtract 8 from 50 first. Then to would have to see how many times 3 can fit in the difference
Visual explanation
50 = 3x - 8
take 8 from both sides
42 = 3x
divide 3 from both sides
14 = x
She needs at least 14 cups of chopped vegetables
Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3