The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find the length of the remaining side?
Answers
Answer:
Step-by-step explanation:
Pitagora theorem is 14^2=9^2+x^2
-9^2 -9^2
so the equation is
x^2=14^2-9^2
Answer:
10.7 units
Step-by-step explanation:
Well this is actually pretty simple.
You have to use the Pythagorean Theorum formula which is [tex]a^2+b^2=c^2[/tex] and in this case we have a and c.
So c is 14 and a is 9 so we can plug those numbers in.
[tex](9)^2+b^2=(14)^2[/tex].
So 9 squared is 81 and 14 squared is 196.
So to get b by itself we have to subtract 81 by 196 which is 115.
Now we have to find the square root of 115 and b which is b and about 10.7 units.
So The length of the remaining side is 10.7 units.
Related Questions
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answers
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25Subtract. 2x+3x−6−x2+x−1x2−5x−6 x2+4x+2(x−6)(x−1) (x+2)2(x−6)(x+1) x2+6x+2(x−6)(x+1) (x+2)2(x−6)(x−1)
Answers
Answer:
Step-by-step explanation:
Which of the following postulates led to the discovery of non Euclidean geometry?
A. A straight line segment can be drawn between any two points.
B. Through a given point not on a given line, there is exactly one line
parallel to the given line.
C. All right angles are equal to one another.
D. Any straight line segment can be extended indefinitely.
Answers
The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The discovery of non-Euclidean geometry will be
The straight line segment can be drawn between any two points.Through a given point not on a given line, there is exactly one line parallel to the given line.Any straight line segment can be extended indefinitely.Then the correct option is C.
More about the geometry link is given below.
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According to a survey, 30% of US adults attend
church every Sunday. Suppose two adults from the
US are chosen at random. Let x represent the
number in this sample who attend church every
Sunday. Write the probability distribution of x.
Answers
Answer:
The probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
P(x = 0) = 0.49
P(x = 1) = 0.42
P(x = 2) = 0.09
Step-by-step explanation:
The binomial distribution has the following features:
• There are n repeated trials and are independent of each other.
• There are only two possibilities: US adults attend church every Sunday or US adults do not attend church every Sunday
• The probability of success does not change with trial to trial.
Let x represent the number in this sample who attend church every
Sunday, the probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given case
Probability of success = p = 0.30
Number of trials = n = 2
Variable of interest = x = 0, 1, 2
For P(x = 0):
Here we have x = 0, n = 2 and p = 0.30
P(x = 0) = ²C₀(0.30⁰)(1 - 0.30)²⁻⁰
P(x = 0) = 0.49
For P(x = 1):
Here we have x = 1, n = 2 and p = 0.30
P(x = 1) = ²C₁(0.30¹)(1 - 0.30)²⁻¹
P(x = 1) = 0.42
For P(x = 2):
Here we have x = 2, n = 2 and p = 0.30
P(x = 2) = ²C₂(0.30²)(1 - 0.30)²⁻²
P(x = 2) = 0.09
Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
mean = 14.75, median =
mean =
15, mode = 16
mean = 15, median = 16, mode = 16
O
mean = 14.889, median = 16, mode
= 16
mean =
15, median =
15.5, mode = 16
Answers
Answer:
I hope this helps.
Step-by-step explanation:
Square Root of 40,75,90,245,450,640,675 values to nearest hundredth show work.
Answers
Answer:
√40 ≈ 6.32
√75 ≈ 8.66
√90 ≈ 9.49
√245 ≈ 15.65
√450 ≈ 21.21
√640 ≈ 25.30
√675 ≈ 25.98
Step-by-step explanation:
You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answers
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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Connie owns x books. Her friend Alma owns
7 more than 2 times the number Connie
owns. So Alma owns 2x + 7 books.
If x is 16, what is 2x + 7?
Enter the correct answer.
Answers
Answer:
39 books
Step-by-step explanation:
Solve the equation in order of PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
2(16) + 7
Multiply 2(16) first.
2(16) = 32
Then add 7.
32 + 7 = 39
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answers
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and earn an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answers
Answer:
The company has to sell 30,000 sets.
Step-by-step explanation:
Cost of each set = $5
Sale of each set = $7
Profit on each set = $7 - $5 = $2
Let
Number of sets = x
Profit on x number of sets = ($2) · x
Recovery of initial investment = $45,000
Additional profit = $15,000
Total Profit desired = $45000 + $15000 =$60,000
Which means that we have to find the number of sets sold, which can earn us a total profit $60,000, from which $45000 are the recovery of initial investment and $15000 are additional profit.
We can conclude that:
Profit on x number of set = Total profit desired
($2) · x = $60,000
x = $60,000 / $2
x = 30,000 sets
Here are 30 best lifetime baseball batting averages of all time is shown to the right. These data can be graphically displayed as a histogram. Which of the following graphs correctly displays the data from the table? A. Graph A B. Graph B C. Graph C D. Graph D E. Graph E
Answers
Answer:
B). Graph B
Step-by-step explanation:
A Histogram is a graphic representation of data using bars varying in height as per the range of values.
In the given question, the second option correctly represents the data provided in the table using a histogram. It portrays the class ranging from 0.320 - 0.329 with an average of 1 in the first bar, from 0.330 - 0.339 with an average of 14 runs in the second bar, and moves so on till 0.360-0.369 correctly. The other options fail to portray the numerical distribution appropriately and hence, option B is the correct answer.
Can someone help a struggling person out. I forgot how to do this.
Answers
Answer:
y= -3x+3/2
Step-by-step explanation:
Write it in the form of y=mx+b because that is the y-intercept form.
So just plug it in. y=-3x+3/2
Answer
y= -3x+3/2
Step-by-step explanation:
Help i suck at math .....will mark brainiest for the correct answer
Answers
Answer:
B= 30; A = 60
Step-by-step explanation:
just that it ur welcome
Answer:
B=60, A=30
Step-by-step explanation:
Select the equivalent expression.
Answers
Answer:
Answer Choice 'A' would be correct.
I need help with please.
Answers
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
Answers
A triangle has two sides of lengths 7 and 9. What value could the length of
the third side be? Check all that apply
A, 5
B. 2
TI C. 13
D. 110
TE! 8
DIN F. 22
Answers
Answer:
5, 13, 10, 8
Step-by-step explanation:
hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.
go through each of the choices.
a. 5+7=12 12>9
b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,
c. 13+7=20 20>9
d.10+7=17 17>9
e.8+7=15 15>9
f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.
hope this helped :)
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answers
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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Which congruence statement correctly compares the two triangles shown? answers: A) ΔBCD ≅ ΔMKL B) ΔCBD ≅ ΔKLM C) ΔDCB ≅ ΔMLK D) ΔBCD ≅ ΔMLK
Answers
Answer: A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
In the given picture, it can be seen that
In Δ BCD and ΔMKL
∠B = ∠M
∠C = ∠K
∠D = ∠L
So, corresponding angles are equal.
Also,
segment BD = segment ML
segment DC = segment KL
segment BC = segment MK
So by using SSS (Side-Side-Side) postulate of congruence, we have
ΔBCD ≅ ΔMKL
Hence, the correct option is A) ΔBCD ≅ ΔMKL.
SSS (Side-Side-Side) postulate of congruence says that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruentAnswer:
A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
is this right 20 points!!!
Answers
Answer:
Brailniest
Step-by-step explanation:
0.25k+1.5-k-3.5
-0.75k-2
so you are right
Answer:
It is right
Step-by-step explanation:
0.25k - k = -0.75k
1.5 - 3.5 = 2
can you please help me its too hard
Answers
Answer:
12
Step-by-step explanation:
The area of a rectangle is l × w.
x × 11/3 = 44
x = 44 × 3/11
x = 12
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answers
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
Find the equation of the line whose slope is 2 and which passes through the point (-2, 4).
Answers
Answer:
Equation of a line is y = mx + c
where m = slope and c = y intercept
Using point ( -2 , 4) and m = 2
Equation of the line is
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
Hope this helps.
Equation of a line passing through (-2, 4) and slope '2' will be,
y = 2x + 8
Given in the question,
Slope of the line 'm' = 2Line passes through a point (-2, 4)Equation of a line passing through a point (h, k) and slope 'm' is given by the equation,
y - k = m(x - h)
Substitute the values in the given equation,
y - 4 = 2[x - (-2)]
y - 4 = 2(x + 2)
y = 2x + 4 + 4
y = 2x + 8
Therefore, equation of the line passing through (=2, 4) and slope '2' will be y = 2x + 8
Learn more,
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A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. What is the height of the pole?
Answers
Answer:
might be 20.8 lmk
Step-by-step explanation:
Answer:
x = 12√3
Step-by-step explanation:
Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answers
Answer: Number of Cavities
What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
w = –StartFraction 34 Over 13 EndFraction
w = –2
w = StartFraction 6 Over 13 EndFraction
w = 26
Answers
Answer:
W=2.615
Step-by-step explanation:
9w-36-7w=15w-2
2w-36=15w-2
15w-2w=-36+2
13w=34
w=34/13
W=2.615
Which number line shows the solution set for |g+2| > 3?
Answers
Hey there! :)
Answer:
The 2nd choice.
Step-by-step explanation:
Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:
g + 2 > 3
g > 1
-(g + 2) > 3
-g - 2 > 3
-g > 5
g < -5
Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.
**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.
Answer:
B)
Step-by-step explanation:
correct on edge test ✅
What is the value of x?
Answers
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
5 . 8Step-by-step explanation:
[tex]Hypotenuse = 8\\Adjacent = x\\ Angle = \alpha = 43\\\\Using ; SOHCAHTOA , \\Cos \alpha = \frac{adj}{hyp} \\Cos 43 =\frac{x}{8} \\0.73= \frac{x}{8} \\x = 0.73*8\\x = 5.84\\x = 5.8[/tex]
I hope i am correct
What is the slope of the line described by the equation below?
y- 9 = -2(x-8)
O A. 2
B. -2
C. -9
ОО
D. 9
SUBMIT
Answers
Answer:
B. -2
Step-by-step explanation:
If you distribute the -2, you can see that you have -2x. Your slope-intercept form y = mx + b tells you that mx is always your slope. Therefore, your answer is B.