The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.
Given :
The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
The following steps can be used in order to determine the length of the hypotenuse:
Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.
Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
Step 3 - So, the length of the hypotenuse is calculated as:
[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]
Step 4 - Simplify the above expression.
[tex]H =30\;{\rm ft}[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
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Answer:
d
Step-by-step explanation:
You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
For more information on computers, laptops and mobile devices visit
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Write an equation in point-slope form of the line
that passes through the points (5. – 1) and
(-6,-4).
Answer:
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Step-by-step explanation:
First, find the slope.
-4--1= -3
-6-5= -11
3/11 is the slope
Plug in the slope and one the the points.
y+1 = [tex]\frac{3}{11}[/tex](x-5)
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You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation:
13^5/13^x=13^4
Does anyone know how to solve this?
[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]
ANSWER: x = 1
ok done. Thank to me :>
If the x axis is positive and the y is zero what’s quadrant or axis is it in?
So I am about to ask three math points so whoever comments on this first and answers my next question will get 100 point :)
Answer:
lets get started
Step-by-step explanation:
Algebra Find the values of x and y.
Step-by-step explanation:
hope this help you::::::::::)
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Help with geometry question
Answer:
see explanation
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or
the distance from the centroid to the midpoint is one third of the median
23
LF = 2 × HL = 2 × 30 = 60
HF = HL + LF = 30 + 60 = 90
24
KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5
LE = 2 × KL = 2 × 5 = 10
25
LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12
DJ = DL + LJ = 24 + 12 = 36
Which problem would you use the following proportion to solve for?
24/x = 40/100
A. What is 40% of 24?
B. Twenty-four is 40% of what number?
C. What percent is 24 of 40?
D. Forty percent of 24 is what number?
Answer:
B
Step-by-step explanation:
40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Over 4 EndFraction.
The equation has one extraneous solution which is n ≈ 2.38450287.
Given that,
The equation;
[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]
We have to find,
How many extraneous solutions does the equation?
According to the question,
An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.
To solve the equation cross multiplication process is applied following all the steps given below.
[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y
with 0 and solve for x. The graph of the equation is attached.
n ≈ 2.38450287
Hence, The equation has one extraneous solution which is n ≈ 2.38450287
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The fraction Three-tenths is the difference of Eight-tenths and which fraction?
Answer:
[tex]\frac{11}{10}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]
so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]
since all the denominators are the same we simply add the numerators to find x
x would be 8 +3 = 11
so [tex]\frac{11}{10}[/tex] is the answer
In 2012, New York had a population of about 19 million people,
and Vermont had a population of about 626,000 people. What
is the difference in populations between New York and
Vermont?
A) 13.4 x 106
B) 1.8374 x 107
C) 1.34 x 107
D) 1.7964 x 107
Answer:
B(if the option is 10^7 instead of 107
Step-by-step explanation:
no. of people in New York=19000000
no. of people in Vermont =626,000
difference in populations = 19000000-626,000 =18374000
therefore, the difference in populations is 18374000
(which can also be written as 1.8374x10^7)
(7*10 to the power of 5)*(3*10 to the power of 2)
Step-by-step explanation:
do you mean
7×10⁵ × 3×10²
as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :
7×3 × 10⁵×10² = 21 × 10⁷
in what format do you need the result ?
21 × 10⁷
2.1 × 10⁸ (standard format)
210,000,000
i NEED help pleaseee
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
pls help mwah I also give brainlest <3
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.
A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.
Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
−5
−2
3
12
Answer:
-2
Step-by-step explanation:
f(x)≈ -0.86x+13.5
putting x=18 in f(x), we get
f(x)≈ -0.86×18+13.5
⇒ f(x)≈ -15.48+13.5
⇒ f(x)≈ -1.98
⇒ f(x)≈ -2
Answer:B
Step-by-step explanation:
The answer is B also known as -2
solve one step equation
x + 8 = -10
Answer:
[tex]x=-10-8 = -18[/tex]
Step-by-step explanation:
Answer:
x=-10-8=18
Step-by-step explanation:
How do you do this? Someone please answer quick
Answer:
b=a^2-6
Step-by-step explanation:
Answer:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
Step-by-step explanation:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
PLEASE HELP WORTH 50 POINTS!
Answer:
the question was not correctly solved
Step-by-step explanation:
A=½bh
23=½*b*h
²/1×23= bh
²/1×23=6h
46=6h
h=7.666666667 / h=23/3
I hope this is helpful
Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
What is the equation y=2x reflected across the y axis
Answer:
[tex]y = -2\, x[/tex].
Step-by-step explanation:
Find two points on the original line, [tex]y = 2\, x[/tex]:
Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].
Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].
Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].
Find the equation of the new line. The slope of the new line would be:
[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].
Equation of the new line in point-slope form:
[tex]y - 0 = (-2)\, (x - 0)[/tex].
[tex]y = -2\, x[/tex].
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Answer:
C
Step-by-step explanation:
C
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
Help? If im given the option ill give you brainliest!
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
help!!!!!!!!! I need help
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
Not drawn
to scale
(x - 2)cm
D
The diagram shows two joined rectangles.
The total area of the compound shape
ABCDEF is 36 cm
2x cm
c
By considering the areas of the two rectangles,
show that 2x2 - 5x - 18 = 0 and hence find B
the value of length AB.
x cm
A
+
(x - 4)cm
Note: Please make sure your final line only shows your final answer written as AB = ...
First find the areas of the two separate rectangles where:
Area of rectangle = length x width
Area of the small rectangle = x(x–4)
Area of small rectangle = [tex]x^{2} -4x[/tex]
Area of big rectangle = (x–2)(2x+x)
Area of big rectangle = (x–2)(3x)
Area of big rectangle = [tex]3x^{2} -6x[/tex]
The total area of the compound shape is 36, therefore:
[tex]3x^{2} -6x +x^{2} -4x=36[/tex]
[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)
By dividing this by 2, you get:
[tex]2(2x^{2} -5x-18)=0[/tex]
[tex]2x^{2} -5x-18=0[/tex]
To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.
[tex]2x^{2} -5x-18=0[/tex]
[tex](2x-9)(x+2)=0[/tex]
[tex]x=\frac{9}{2}[/tex]
[tex]x=-2[/tex]
However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.
Hope this helps :)
May I please receive help?
Answer:
Length of the shadow = 20.5 cm
Step-by-step explanation:
Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.
Definition:The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.
The algebraic representation of the Pythagorean Theorem is:
c² (hypotenuse) = a² (leg₁) + b² (leg₂)
SolutionTo solve for the given problem:
Let c = 38 m (distance from the top of the building to the tip of the shadow)
a = unknown length of the shadow
b = 32m (height of the building)
Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:
c² = a² + b²
Subtract b² from both sides:
c² - b² = a² + b² - b²
a² = c² - b²
Substitute the given values into the formula for solving a :
a² = c² - b²
a² = (38)² - (32)²
a² = 1444 - 1024
a² = 1444 - 1024
Next, take the square root of both sides to solve for a:
[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]
a = 20.49 or 20.5 cm
Therefore, the length of the shadow is 20.5 cm.
0.9 ÷ 13 = ____
0.0707÷ 70=____
32.27 ÷ 55=_____
18.2 ÷ 51=_____