For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answers
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
Answer:
x=6.93
Step-by-step explanation:
This is a right triangle, therefore we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.
a=x
b=11
c=13
x^2+11^2=13^2
Evaluate the exponents.
11^2=11*11=121
13^2=13*13=169
x^2+121=169
Now we must solve for x by getting x by itself. First, subtract 121 from both sides.
x^2+121-121=169-121
x^2=169-121
x^2=48
x is being squared, so we should take the square root of both sides.
√x^2=√48
x=√48
x=6.92820323
Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.
x=6.93
Related Questions
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answers
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y, to the number of hours, x? 0.02 57.5 287.5 5
Answers
Answer:
57.5
Step-by-step explanation:
The constant of proportionality is "k" in the equation ...
y = kx
It can be found from values of x and y using ...
k = y/x
For the given values, it is ...
k = (287.5 mi)/(5 h) = 57.5 mi/h
The constant of proportionality relating miles to hours is 57.5.
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answers
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
What is the solution to the inequality?
17 < 9 + x
A. X < 8
B. X < 26
C. X > 26
D. X > 8
Answers
Answer:
8 < x
Step-by-step explanation:
17 < 9 + x
Subtract 9 from each side
17-9 < 9 -9+ x
8 < x
The exponent on b when b^3 is multiplied by b^3 is__.
A.3
B.6
C.9
Answers
Answer:
B
Step-by-step explanation:
[tex]b^3\cdot b^3= \\\\b^{3+3}= \\\\b^6[/tex]
Therefore, the correct answer is 6. Hope this helps!
Answer:
b^6
Step-by-step explanation:
When multiplying number that have exponents and the same base you add the exponents.
14. Find the slope of the line graphed above.
Answers
[tex](2-8)/1[/tex]
[tex]-6/1[/tex]
[tex]=-6[/tex]
Answer:
Option C)
Step-by-step explanation:
Let's Take Any two coordinates from this graph to get the slope:
Let it be A (0, 8) B (2, -4)
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{-4-8}{2-0}[/tex]
Slope = [tex]\frac{-12}{2}[/tex]
Slope = -6
Identify examples and non-examples of the standard form of a linear function.
5x - 3y = 9
y = 1/2x - 3
2x + 3y = 0
x + y = 1
x = 6y
y = x - 2
Which are examples and which are non- examples?
Answers
Answer:
5x - 3y = 9 (Example) y = 1/2x - 3 (Non-Example) 2x + 3y = 0 (Example) x + y = 1 (Example) x = 6y (Non-Example) y = x - 2 (Non-example)Step-by-step explanation:
Standard form of the equation is given by:
Ax + By = C
Where
x and y are variablesA, B and C are constants which must be Integers. A should always be positive.Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.
5x - 3y = 9In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
y = 1/2x - 3Not in the form of Ax + By =CNON-EXAMPLE
2x + 3y = 0In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x + y = 1In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x = 6yNot in the form of Ax + By =CNON-EXAMPLE
y = x - 2Not in the form of Ax + By =CNON-EXAMPLE
Answer:
answer in the picture
Step-by-step explanation:
From an equation and solve for the following word problem. If the product of two consecutive positive even numbers is 48, what are these two numbers?
pls show full working out :)
Answers
Answer: 6 and 8
Step-by-step explanation:
Consecutive numbers mean it’s one number after another. If there are consecutive even numbers, then both numbers are even and 2 digits apart.
8 - 6 = 2
6 and 8 are consecutive even numbers because they are 2 digits apart and are both even numbers
6 * 8 = 48
The product of 6 and 8 = 48
You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is
one and a half times the width, what is the width?
4 feet
8 feet
10 feet
12 feet
Answers
Answer:
8 feet
Step-by-step explanation:
Given that 96 sq. feet of tile is bought to retile the bathroom.
It means area of bathroom is 9[tex]3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8[/tex]6 sq. feet
Width of bathroom be x
Given that the length of the bathroom is one and a half times the width
Length of bathroom in term sod width = 1 1/2* x = 3/2 x
we know area of rectangle is given by length * width
therefore area of bathroom =( x* 3/2 x) = 3/2 x^2
Also area of bathroom is 86 sq. feet, therefore
[tex]3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8[/tex]
Thus, width of bathroom is 8 feet.
The diffrence between 2 numbers is 1 and their product Is 132
Answers
Answer:
x = 12
y = 11
For any clarification, Please contact me in the comment section :)
I Hope It Helps .
Step-by-step explanation:
[tex]Let -the-unkonown- numbers-be-x-and-y \\x-y = 1 (1)\\xy = 132 (2)\\Make-x-subject-of-formula-in-equation1 \\x = 1+y\\Substitute , 1+y for- x -in -equation ,2\\y(1+y) = 132\\y + y^{2} =132\\y^{2} +y-132=0\\Solve- the-quadratic-equation.\\y = 11\\substitute- 11 -for- y- in- equation -1- 0r- 2\\x -y = 1\\x-11 = 1\\x = 1+11\\x = 12[/tex]
Please answer i need help
Answers
Answer:
[tex]452.16 inches^3[/tex]
Step-by-step explanation:
Well first we have to use the formula [tex]\pi r^2h[/tex] where for pi we will be repacking it with 3.14.
So the radius is 4 inches and the height is 9 inches.
So we have to plug them in [tex](3.14)(4)^2(9)[/tex].
So using PEMDAS we have to so [tex]4^2[/tex] first.
So [tex]4^2[/tex] is 16 and now we have to multiply it by 9 and 3.14 and we get 452.16in^3.
The slope of the line below is -3 which of the following is the point-slope form of the line? (2, -2)
Answers
Answer:
y+2=-3(x-2)
Step-by-step explanation:
y+2=-3(x-2)
For the function p defined by p(m)=2m2−4m+3, find p(13).
Answers
Answer:
[tex]\frac{17}{9}[/tex]
Step-by-step explanation:
[tex]2\left(\frac{1}{3}\right)^2-4\left(\frac{1}{3}\right)+3[/tex]
[tex]2\left(\frac{1}{9}\right)-4\left(\frac{1}{3}\right)+3[/tex]
[tex]\frac{2}{9}-\frac{4}{3}+3[/tex]
[tex]\frac{2}{9}-\frac{4}{3}+\frac{3}{1}[/tex]
[tex]\frac{2}{9}-\frac{4 \times 3}{3 \times 3}+\frac{3 \times 9}{1 \times 9}[/tex]
[tex]\frac{2}{9}-\frac{12}{9}+\frac{27}{9}[/tex]
[tex]\frac{2-12+27}{9}[/tex]
[tex]=\frac{17}{9}[/tex]
Answer:
Option C
Step-by-step explanation:
=> p(m) = [tex]2m^2-4m+3[/tex]
Putting m = [tex]\frac{1}{3}[/tex]
=> p(1/3) = [tex]2(\frac{1}{3})^2-4(\frac{1}{3} )+3[/tex]
=> p(1/3) = [tex]\frac{2}{9}-\frac{4}{3} +3[/tex]
=> p(1/3) = [tex]\frac{2-12+27}{9}[/tex]
=> p(1/3) = [tex]\frac{17}{9}[/tex]
What is the radical form for 2 1/2
Answers
Answer:
it would be √2 or 1.41421356
Step-by-step explanation:
its correct
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answers
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
The segments shown below could form a triangle.
o
O A. True
C
B Fase
Answers
Answer:
False
Step-by-step explanation:
The sum of the smaller two sides must be larger than the third side
8+7 > 15
15 >15
This is not true so the three sides cannot form a triangle
An ornithologist wants to research ospreys near the Great Lakes. Explain why the researcher would have trouble
drawing a simple random sample.
Answers
Answer:
beacuse first off ospreys are diffrent from other birds so if you draw something like a simple random sample it could be a diffrent bird
Step-by-step explanation:
my sister does osprey watching at my local park
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Birth Weight and number line from 8 to 9 in increments of 1 tenth labeled Birth Weight (in pounds.) with zero dots over 8, zero dots over 8 and 1 tenth, 2 dots over 8 and 2 tenths, 2 dots over 8 and 3 tenths, 2 dots over 8 and 4 tenths, 3 dots over 8 and 5 tenths, zero dots over 8 and 6 tenths, 1 dot over 8 and 7 tenths, zero dots over 8 and 8 tenths, 1 dot over 8 and 9 tenths, and zero dots over 9 box plot with minimum value 8 and 3 tenths, lower quartile 8 and 4 tenths, median 8 and 5 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 5 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 3 tenths, lower quartile 8 and 5 tenths, median 8 and 6 tenths, upper quartile 8 and 7 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths
Answers
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
The data provided is as follows:
X Frequency
8 0
8.1 0
8.2 2
8.3 2
8.4 2
8.5 3
8.6 0
8.7 1
8.8 0
8.9 1
9 0
So, the actual data is:
S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).The data set is arranged in ascending order.
The minimum value is, Min. = 8.2
The lower quartile is,
[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],
Q₁ = 8.3.
The median value is,
[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]
Median = 8.4
The upper quartile is,
[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],
Q₃ = 8.5.
The maximum value is, Max. = 8.9.
So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
I took the practice test
HELLO THERE. THIS IS A GEOMETRY QUESTION. ONE REAL ANSWER EQUALS ONE LIKE AND MAYBE BRAINLYIST IF IT ALLOWS ME.
Answers
Answer:
104°, 38°, 104°, 38°
Step-by-step explanation:
∠1= ∠3 as opposite angles
and ∠2= ∠4= 38°
∠1= ∠3= 180- 2*38°=104°
Evaluate 2x2 - 1 when x= 3.
O A. 35
O B. 25
O c. 5
O D. 17
Answers
Answer:[tex]2*3^{2} -1[/tex]
Step-by-step explanation:
calculate the power: 2*9-1
calculate the product or quotient:18-1
calculate the sum or difference:17
answer:17
Who described gravity mathematically
Answers
Answer:
I believe Isaac Newton did with a formula.
gravity(F=Gm1m2/ r2)
Hope this helps
Step-by-step explanation:
Answer:
Isaac Newton was the first man to do so.
Step-by-step explanation:
gravity(f=gm=1m2/ r2)
Hope this helped and please mark me brainliest!The vértices of polygon ABCD at A(1,1), B(2,3), C(3,2), and D(2,1). ABCD is reflected across the x-axis translated 2 units up to form polygon A’B’C’D’ to its coordinates.
Answers
Answer:
A' - 1,1
B' - 2,-1
C' - 3,0
D' - 2,1
Step-by-step explanation:
in order to do this problem, you would first reflect every point over the X axis. this then makes it a polygon in quadrant 4. from there, you would move each point up 2 points. this would mean that every X value stays the same. the only value that changes in this scenario is the Y value. This is not always true so do not use this rule unless you know for sure. Hope this helps!!
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answers
Answer:
38
Step-by-step explanation:
38 because
The area of the rectangle below is
. sq. units.
Answers
Answer:
A, 66
Step-by-step explanation:
A= lw
l=22
Please mark brainliest.
w=3
22*3=66
Answer:
66
Step-by-step explanation:
The area of rectangle is equal to the product of its length and height.
3 × 22
= 66
Sparkle King increased the price of a $1.15 cola by 10%. Find the increase in price and the new price.
Answers
Answer:
Increased amount is $0.115 and new price is $1.265.
Step-by-step explanation:
It is given that Sparkle King increased the price of a $1.15 cola by 10%.
Increased amount is 10% of $1.15.
Increased amount [tex]=\$1.15\times \dfrac{10}{100}=\$0.115[/tex]
So, increased amount is $0.115.
Now, new price is the sum of original price and increased amount.
New price [tex]=\$1.15+\$0.115[/tex]
[tex]=\$1.265[/tex]
Therefore, the new price is $1.265.
PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answers
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
Do the side lengths 4, 8, and 10 form a triangle
Answers
Answer:
Those side lengths 4, 8 and 10 form a triangle
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answers
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
Solve -8x+45<36 fndjdk
Answers
Answer:
x<1.125
OR
x< [tex]\frac{9}{8}[/tex]
Step-by-step explanation:
-8x+45<36
Subtract 45 from both sides
-8x<-9
Multiply both sides by -1
8x<9
Divide both sides by 8
x<1.125
Anyone help? Please
Answers
Answer:
31
Step-by-step explanation:
When two angles are complementary, their angle measures add up to 90 degrees. Therefore:
a+b=90
59+b=90
b=90-59=31 degrees
Hope this helps!
Answer:
∠a = 31°
Step-by-step explanation:
∠a+∠b=90°
∠a+59°=90°
Subtract 59° from both sides
∠a=31°
