Work out the length of x
Give your answer rounded to 1 decimal place.
(diagram not drawn accurately
Answers
Answer:
7.3 cm
Explanation:
Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²
Insert values:
x² + 8.9² = 11.5²
x² + 79.21 = 132.25
x² = 132.25 - 79.21 (subtract)
x² = 53.04
x = √53.04 (square root)
x = 7.28285 ≈ 7.3 (rounded to 1 decimal place)
11.5 cm
8.9 cm
to find:the unknown value "x"
solution:we'll have to use pythagoras theorem.
unknown value is x
[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]
[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]
[tex] {x}^{2} = 53.04[/tex]
[tex]x = \sqrt{53.04} [/tex]
[tex]x = 7.282856582[/tex]
[tex]x = 7.3 \: cm[/tex]
Related Questions
Express 0.625 as a fraction in its
simplest form.
Answers
Answer:
5/8
Step-by-step explanation:
Answer: The answer is 5/8. Try reducing using 58
Using the linear combination method, find the solution to this system of equations. Be sure to show all your steps in your work!
5x+4y=-14
3x+6y=6
Answers
Answer:
[tex]x=-6; y=4[/tex]
Step-by-step explanation:
Step 0: retwite the second equation by dividing LHS and RHS by 3.
[tex]x+2y=2[/tex]
Step 1: combine them as the first minus twice the second to eliminate y
[tex]I - 2\times II : 5x+4y -2x-4y=-14-4 \rightarrow 3x=-18 \rightarrow x= -6[/tex]
Step 2a: At this point I would replace the value of x in the second equation to easily solve for y. That will give you [tex]-6+2y=2 \rightarrow y=4[/tex]. I do imagine you're required to use the same method to solve for y even if it's slower so...
Step 2b: Combine them again, taking the first minus 5 times the second to eliminate x:
[tex]I-5II: 5x+4y-5x-10y=-14-10 \rightarrow -6y=-24 \rightarrow y=4[/tex]
In golf, par is an estimate of the number of strokes needed to put the ball in the hole. At the first hole of the course, Jenny made 1 stroke less than par, while Jérôme made 4 strokes more than par. How many more strokes did Jerome play than Jenny?
Answers
Answer:
Step-by-step explanation:
Let X be par.
Jenny made x-1 strokes
Jérôme made x+4 strokes.
So, we can use the amount of strokes made, but we have to use absolute value brackets ( | | )
|-1| + |4| = 5.
Jérôme made 5 more strokes than Jenny
Given the function h(x)=x^2-7x+6h(x)=x
2
−7x+6, determine the average rate of change of the function over the interval 1\le x \le 61≤x≤6.
Answers
Answer:
[tex]0[/tex] (no change)
Step-by-step explanation:
Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]
Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.
What is the sum of the square of 4 and square root off 144
Answers
all of 5 students got a 50% on the test, what is the average
Answers
Help me this is so confusing
Answers
The factor of the given quadratic polynomial 9x² - 12x + 4 is (3x - 2) and (3x - 2).
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic polynomial is given below.
9x² - 12x + 4
Then by the factorization, we have
9x² - 6x - 6x + 4
3x(3x - 2) - 2(3x - 2)
(3x - 2)(3x - 2)
(3x - 2)²
More about the factorization link is given below.
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1/3 / 4 what does it equal
Answers
1 1/3
hope it helps...!!
Jeff made a small flag that is shaped like a triangle. The flag has side lengths of 5 inches, 12 inches, and 13 inches. Jeff wants to describe the flag to his friend so she can make one also.
Select all statements about the flag that are true.
A. The flag is a scalene, right triangle.
B. The flag is an isosceles, acute triangle.
C. The sum of the angle measures of Jeff's flag is 180 degrees.
D. There are an infinite number of different triangular flags that can be made with the same dimensions.
Answers
Answer:
A, C
Step-by-step explanation:
A True it IS a right triangle because 5^2 + 12 ^2 = 13^2
and scalene because the leg legths are not =
C always true of triangles
if x= -2
what is
f(x)= -x²+5
Answers
Answer:
1
Step-by-step explanation:
f(x)= -х² + 5
f(-2)= -2²+5
f(-2)= -4+5
f(-2)= 1
How to find volume of sphere explain step by step
Answers
Answer: What is the easiest way to find the volume of a sphere?
Image result for How to find volume of sphere explain step by step
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
Step-by-step explanation:
Please help with question 14
Answers
Answer: have started giving out meals to the homeless "49"
estimate the answrer by rounding each fraction to the nearest whole or half and then subtracting
Answers
The estimation of the fractions to the nearest whole number is [tex]5\frac{13}{40}[/tex]
How to subtract fractions?
The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.
Therefore,
[tex]8\frac{1}{5} - 2\frac{7}{8}[/tex]
[tex]8\frac{1}{5}=\frac{41}{5}[/tex]
[tex]2\frac{7}{8} =\frac{23}{8}[/tex]
Therefore,
[tex]\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}[/tex]
Hence,
[tex]\frac{213}{40} =5\frac{13}{40}[/tex]
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What is the measure of angle A, in degrees?
Answers
===========================================================
Explanation:
Let B represent the unmarked angle on the left between angle A and the 145 degree angle.
Angle B and the 145 degree angle form a straight line of 180 degrees
B+145 = 180
B = 180-145
B = 35
Then use the fact that angles A and B form a 90 degree angle
A+B = 90
A+35 = 90
A = 90-35
A = 55
A cone has a volume of 320 cubic centimeters
&a height of 15 centimeters. Find the length
of the radius.
Answers
Answer:
4.51352cm
Step-by-step explanation:
A box contains 75red , blue and green balls . if 24% are red and 17 are blue, what fractions of the balls are not green ?
Answers
Explanation: 24% of 75 is 18. 18 + 17 = 35. 35/75 = .4666667
please tell me what 16/7+86.8 is
Answers
Answer:
89.0857
Step-by-step explanation:
Hope this helps! Have a great day!!
Question:
please tell me what 16/7+86.8 is
Answer:
89.08571429
Simplified version:
89.08
Step-by-step explanation:
So you have the fraction:
16 over 7
And you have your whole number/decimal:
86.8
What you would do is:
Set up your problem. (Always put the bigger number on top.) So what your problem should look like is 86.8 on top and the fraction on the bottom.Break down the fraction: (So your fraction would have 1. The decimal. And 2. It's way easier to work with when you have two whole numbers/decimals.)So your broken down fraction should have the numbers in this specific order: 2.28571429
Add the two number together: (Add 2.28571429 and 86.8)
You would start at the end of your problem
9 + 0 = 9
2 + 0 = 2
4 + 0 = 4
1 + 0 = 1
7 + 0 = 7
5 + 0 = 5
8 + 0 = 8
2 + 8 = 10
2 + 86 = 88 + 1 (From the 10) = 89
So, to conclude, 16/7 + 86.8 = 89.08571429
Then, simplified it is: 89.08 or 89.0/89
If you need to simplify to only one digit after the decimal, the answer would be 89
If you are wondering why then the reason why you wouldn't add the .0 is because you never add the .0 at the end. If your answer is 89.08 then you cannot take away that 0 because you only take away the 0 if its at the end of your answer.
(Examples.)
X for Don't take away 0
[tex]\sqrt[/tex] for Take away 0
89.08 X
37.30 [tex]\sqrt[/tex]
12.6802 X
15.670 [tex]\sqrt[/tex]
16.05 X
15.50 [tex]\sqrt[/tex]
6.903 X
And so on.
What is the angle of rotation of the figure above? Assume that the center of rotation is the origin. A. –360° B. –270° C. –90° D. 270°
Answers
There are 100 comic books to choose from at the local hobby store. How many different sets of 10 comic books could you choose to buy?
Answers
The number of ways for which different sets of 10 comic books could you choose to buy will be 1.731 x 10¹³.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are 100 comic books to choose from at the local hobby store.
Then the number of ways for which different sets of 10 comic books could you choose to buy will be
Total ways = ¹⁰⁰C₁₀
Total ways = 1.731 x 10¹³
More about the permutation and the combination link is given below.
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Write the number 0.00043 in standard form.
Answers
Answer:
0.00043 in standard form is 0.00043
0.00043 in scientific notation is [tex]4.3*10^{-4}[/tex]
Step-by-step explanation:
or zero and forty three hundred thousandths
Christopher's family took a road trip to mount rushmore. christopher fell asleep 65% of the way through the trip. if the total length of the trip was 960 miles, how many miles had they travelled when christopher fell asleep?
Answers
Using proportions, it is found that they had traveled 624 miles when Christopher fell asleep.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, Christopher fell asleep at a distance that is 65% of 960 miles, hence the distance they had traveled is given by:
D = 0.65 x 960 miles = 624 miles.
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A talent manager announced an audition for a female lead role in a web series. Because there are a lot of aspiring talents who auditioned, he randomly selected his choices by using the Table of Random Numbers. What sampling technique was used in this situation?
Cluster Sampling
Volunteer Sampling
Stratified Sampling
Simple Random Sampling
Answers
The sampling technique used is Simple Random Sampling option fourth would be the best choice.
What is simple random sampling?Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.
Simple random sampling selects a sample of objects at random from a population, with each item having an equal chance of being chosen.
Simple random sampling selects items for its sample from a table of random numbers or an electronic random number generator.
Thus, the sampling technique used is Simple Random Sampling option fourth would be the best choice.
Learn more about the simple random sampling here:
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Determine the equation of the circle graphed below.
Answers
Rewrite as a whole number. 63/9
Answers
Answer:
7
Step-by-step explanation:
Because 9 can go into 63, 7 times.
Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x
as the independent variable?
obor(x) = y + 3
Of(x) = -y - 3
Of(x) = -x + 3
O f(x) = x - 3
Answers
Answer:
f(x) = x - 3
Step-by-step explanation:
note that y = f(x) , then
x - y = 3 ( add y to both sides )
x = 3 + y ( subtract 3 from both sides )
x - 3 = y , that is
f(x) = x - 3
f(x) = x - 3 is the equation written in function notation, with x as the independent variable.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To write the equation x - y = 3 in function notation with x as the independent variable, we need to solve for y in terms of x.
x - y = 3
y = x - 3
Therefore, the function represented by the equation x - y = 3, with x as the independent variable, can be written in function notation as:
f(x) = x - 3
So the answer is O f(x) = x - 3.
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Congratulations I was forced to do this so I could see the question.?
Answers
Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
A. 7
B. 6
C. 5
D. 4
Answers
Please solve 10 and 11, thank you!
Answers
Answer:
10.
= 65.144065264838 units^3
11.
The half-circle is parallel to the other circle so you can find the volume of the circle by itself. Subtract 4 from 3.6 and you should be able to find the heigh of the shape between the half circles. Multiply the Circular Slab of 3.6 by 0.4. Which gives you 1.44. (Do not take this as an answer, i tried but i dont think this was a great explanation)
Step-by-step explanation:
HELP!
y=x^2-2x-3
find the values of x when y=1
Answers
Does anybody know this? A house casts a shadow that is 57 feet long at the same time a girl who is 4.7 feet tall casts a shadow that is 9.4 feet long how tall is the house do not round your answer
Answers
Answer:
h = 28.5 ft
Step-by-step explanation:
the 2 situations are similar, that is the triangles formed in both cases are similar.
then the ratios of corresponding sides are in proportion
let h be the height of the house , then
[tex]\frac{4.7}{h}[/tex] = [tex]\frac{9.4}{57}[/tex] ( cross- multiply )
9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )
h = 28.5 ft
