Answers
Answer:
x = [tex]\sqrt{147}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 7² = 14²
x² + 49 = 196 ( subtract 49 from both sides )
x² = 147 ( take the square root of both sides )
x = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )
x = 12.12 cm
There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length - [tex]a^{2}+b^{2}=c^{2}[/tex]
'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.
[tex]7^{2}+x^{2} =14^{2}[/tex]
[tex]x^{2} =196-49[/tex]
[tex]x^{2} =147[/tex]
x ≈ 12.12
Related Questions
Using inductive reasoning, show that t(n+1)=t(n-2)+2t(n-1)
Answers
Answer:
uuhhhh t=2/3n-2/3
Step-by-step explanation:
Work out the length of x.
Give your answer rounded to 1 decimal place.
x
9 m
14.5 m
The diagram is not drawn accurately.
Please help
Answers
Answer:
x ≈ 17.1 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 9² + 14.5² = 81 + 210.25 = 291.25 ( take the square root of both sides )
x = [tex]\sqrt{291.25}[/tex] ≈ 17.1 m ( to 1 dec. place )
What is e called in log e?
Answers
The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.
The first few digits of Euler's number are 2.71828.
Given log(base_12)1728,
where base = 12
1728 = x
Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n
This gives you:
log(base_12)(12^3) = 3
The base 12 and the value of x = 12 cancels out, leaving you with 3.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
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find the perimeter of the figure
Answers
Answer:
30 cm
Step-by-step explanation:
For perimeter you just need to add all the outer sides.
6+6.5+4+4+9.5
Evaluate that and you get 30.
That's your answer.
(Remember perimeter is the value AROUND the figure.)
Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.
Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.
Answers
Answer: I'm sorry bro i don't know
Step-by-step explanation:
What is a 2 step equation that equals to 14
Answers
Answer:
2x + 1 = 29
Step-by-step explanation:
There are a lot of answers.
2x + 1 = 29
2x + 1 = 29 Subtract 1 from both sides
2x = 28 Divide both sides by s
x = 14
Start off knowing that x will be 14, then multiply 14 by some number and then add or subtract some number from that and put that on the other side of the equal sign.
x = 14
14 x 2 = 28 and then add 1 to that to get 29
2x + 1 = 29
Answer: Do you want x=14 or for it to equal 14, because I have it both ways. For x=14, an acceptable two step equation would be 2x-5=23. If you want it to equal 14, then you can write 5x-1=14
Step-by-step explanation:
For x=14:
2x-5=23
Add 5 on both sides
2x=28
x=14
For the equation to equal 14:
5x-1=14
Add one on both sides
5x=15
x=3
Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves up, gravity slows it. Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.
a. Find the height of the ball after four seconds
Answers
Therefore, the height of the ball after four seconds is 448 feet.
Define height.Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
We need to plug t = 4 into the equation h = -16t^2 + 176t.
h = -16(4^2) + 176(4)
h = -16(16) + 704
h = -256 + 704
h = 448 feet.
So, 448 feet is the height after four seconds.
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A plumber charges $80 for a house call and $20 per hour for labor. If the plumber worked from 2:30 pm to 8:00 pm, how much does he earn?
Answers
Answer:
The plumber would earn $190 in 5 hrs and 30 mins
Step-by-step explanation:
- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]
- We know the plumber charges the client $80 for the call and $20/hr for the work
1. I multiplied $20 x 5.5= $110+80=$190
or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]
Have a great day, hope this helped <3
will give brainliest and all 5 star and thanks
Answers
Answer:
The area of the shape shown is [tex]12.5units^2[/tex]
Step-by-step explanation:
So the formula for solving the area of trapezoids is:
(top base + bottom base) x height ÷ 2
In this case, the equation is:
(7.5 + 2.5) x 2.5 ÷ 2
Let's solve it!
(7.5 + 2.5) x 2.5 ÷ 2 =
10 x 2.5 ÷ 2 =
25 ÷ 2 =
12.5
Which will get 12.5 as an answer.
Since the unit isn't listed, we will just write [tex]unit^2[/tex] instead of [tex]cm^2[/tex] or [tex]in^2[/tex]
Answer:
12.5
Step-by-step explanation:
I split the shape into two shapes: one square, and two identical right triangles
The area of the square is a^2 so 2.5^2 so 6.25
The area of the right triangle A=ab/2 we know one side 2.5 and the other side is just 7.5-2.5 and then halved so also 2.5.
The area of this triangle is 3.125*2 because there are 2 then +6.25
=12.5
Edit: Just realized there was a much simpler way to do this lol I just normally can't do math the regular way. You can just do the area of the trapezoid
Simplify and select the answer with the appropriate restrictions for the variables.
5x2−4x3x3
Answers
Answer:-4x/6 + 5x/2
Step-by-step explanation:
just combined it
A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its registered users selected at random. For what type of bias are the survey results at risk
Answers
10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.
What type of bias are the survey results at risk for?A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.
Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.
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what is the answer to −9−(−4)=
Answers
Explanation:
-9 - (-4)
-9 + 4
-5
what is the solution to the equation 13.7y= 6.2y+ 30?
Answers
Answer:
y = 4
Step-by-step explanation:
7.5y = 30
y = 4
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
[tex]13.7y=6.2y+30[/tex]
[tex]13.7y−6.2y=30[/tex]
[tex]7.5y=30[/tex]
[tex]y = \frac{30}{7.5} [/tex]
[tex]y = 4[/tex]
Hope it is helpful....These are the numbers and I need the ratio
to thank you!
help me please it's due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answers
Answer: 1:3
Step-by-step explanation:
I'd say 1:3 but I could be wrong
You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use
Answers
On solving the provided question, we can say that by linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
the linear equation that is formed is
10p +7 (10 - p) = 80
10p + 70 - 7p = 80
3p = 70
p = 10/3
10/3 pounds of peanuts and how many pounds of raisins should you use
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Find the values of x and y.
-2x+y=-35
L
to
||
2x°
(y + 10)°
yᵒ
Answers
Answer:
x = 60 , y = 85
Step-by-step explanation:
assuming the figure is a trapezoid
• each lower base angle is supplementary to the upper base angle on the same side.
x + 2x = 180
3x = 180 ( divide both sides by 3 )
x = 60
and
y + y + 10 = 180
2y + 10 = 180 ( subtract 10 from both sides )
2y = 170 ( divide both sides by 2 )
y = 85
What is quadrant 1 2 3 and 4?
Answers
The explanation of four quadrant are explained below.
In the coordinate plane the first coordinate or the x-coordinate will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.
And the second coordinate known as the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.
By using these x and y values, we have divide the graph, into four part such as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
Here we want to know that each quadrant contains certain directions.
=> Quadrant 1 placed on 0 to 90 degrees.
=> Quadrant 2 placed on 90 to 180 degrees.
=> Quadrant 3 placed on 180 to 270 degrees.
=> Quadrant 4 placed on 270 to 360 degrees.
And the value in the quadrant are like as follows:
Quadrant I had both x and y-coordinate are positive.Quadrant II had x-coordinate is negative and y-coordinate is positive.Quadrant III had both x and y-coordinate are negative.Quadrant IV had x-coordinate is positive and y-coordinate is negative.To know more about Quadrant here.
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There are 198 calories in 4 ounces of vanilla ice cream. How many calories are in 6 ounces of vanilla ice cream?
just put the answer pls fast
Answers
Answer: If there are 198 calories in 4 ounces if ice cream it will be 396
Step-by-step explanation:
the composite bar chart shows the number of messages jon received each day for five day
Answers
Tim received 8 SMS on Monday, 4 emails on Thursday, and 0.52 of the communications were emails, which is the solution to (a), (b), and (c).
what is composite bar chart ?When two sets of data are joined and their frequencies are combined, a composite bar chart is utilized. Two pieces of data—emails and texts—are included in this inquiry, but they both fall under the same heading, "messages." With regard to question (a), it is clear from the diagram that Tim got 8 texts on Monday. In order to answer question (b), we must determine how many emails Tim received on Thursday. To do this, we must look at the bar for Thursday and divide the total number of texts by the total number of messages to determine the number of emails received. 15-11=4, indicating that Tim received 4 emails on Thursday.
given
Tim for five days, total the emails received, and then determine the percentage of emails relative to messages.
Total messages: 14+16+14+15+14=73.
Emails totaled: 6 + 10 + 10 + 4 + 8 = 38
Email to message ratio is equal to 0.52.
Emails made up 0.52 of the messages, therefore.
Tim got 8 texts on Monday, 4 emails on Thursday, and 0.52 of the messages were emails, according to an analysis of the composite bar chart we used to determine the answers to the three questions.
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The complete question is :- The composite bar chart Messages received shows the number of messages Tim received each day for five days.
a) How many texts did Tim receive on Monday?
b) How many emails did Tim receive on Thursday?
c) In total, what fraction of the messages were emails?
Give your answer in its simplest form.
Hey I really need help on this question please
Answers
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
Please help! I cant afford to fail.. PLEASE NO LINKS
Answers
Answer: The answer that I got was J.
2(2x + 3) - 5
Please and thanks
Answers
Answer:
=4x+1
Step-by-step explanation:
Let's simplify step-by-step.
2(2x+3)−5
Distribute:
=(2)(2x)+(2)(3)+−5
=4x+6+−5
Combine Like Terms:
=4x+6+−5
=(4x)+(6+−5)
Serenity worked as a waitress. She earned $12. 50 per hour and made $175 tips on
Saturday. How many hours did Serenity work if she made a total of $262. 50?
Answers
7 hours Serenity worked if she made a total of $262. 50.
How do you calculate total hours in a number?
To find the total hours, subtract the time the employee clocked in from when they clocked out.
We can start by using the following equation to find the total number of hours Serenity worked:
Total Earnings = (Hourly Wage) * (Number of Hours) + (Tips)
In this case, we know that Serenity's total earnings were $262.50, she earned $12.50 per hour and made $175 in tips on Saturday. So we can substitute these values into the equation:
$262.50 = ($12.50) * (Number of Hours) + $175
To find the number of hours, we can subtract the tips from the total earnings and divide by the hourly wage:
Number of Hours = ($262.50 - $175) / $12.50
= $87.50 / $12.50
= 7
So Serenity worked 7 hours on Saturday.
Hence, 7 hours Serenity worked if she made a total of $262. 50.
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it takes 4 pounds of apples to make 6 cups of apple sauce at this rate how much apple sauce can you make with 10 pounds of apples
Answers
Answer: 12 cups of applesauce
Step-by-step explanation:
How many solutions will the following system have? 4x+y=13 1/2}y=-2x+5
Answers
Step-by-step explanation:
I have to assume the equations are
4x + y = 13
(1/2)y = -2x + 5
let's bring both of them into a "y = ..." form :
y = -4x + 13
y = -4x + 10
now we see that both equations are lines with the same slope but different y-intersect.
so, they are parallel but not identical.
therefore, there are 0 solutions. the lines will never intersect and have no point in common.
(x - 16)2 + (y - 6)2 = 1 Translated 4 left, 2 up
Answers
Answer:
x= -4
y=2
put the values
( -4-16)2+(2-6)2=1
(-20)2+(-4)2=1
-40-8=1
-48 is not equal to 1.
Why can't the sine of an angle be greater than 1?
Answers
Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
What is an angle?An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Define sides and vertices.Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.
The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
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How do you graph exponential functions and logarithms?
Answers
Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.
Asymptotes: The graph of an exponential function does not have any asymptotes.
Domain and range: The domain and range of an exponential function are all real numbers.
Increasing or decreasing: An exponential function is always increasing.
Shape: The graph of an exponential function is concave up.
y-intercept: The y-intercept is (0,1)
x-intercept: The x-intercept does not exist.
To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.
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Are the expressions equivalen? Explain why or why not.
-7(4x+2)
-28x+14
Answers
Answer:
−56
Step-by-step explanation:
Perform addition
[tex]- 14 - 38x + 14 -28x - 28x[/tex]
For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25
B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes
Please help!!!
Answers
Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.
The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.
For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.
The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.
Step-by-step explanation: