The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm
Answer:
21cm3
Step-by-step explanation:
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
13 (96) - 14 - (-24)
Answer:
1210
Step-by-step explanation:
13(96)-14+24
l248-38
=1210
Multiply two negative numbers to get 18
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
(-9) × (-2) = 18Hope it helps!
mark me brainliest pls.....
Follow me! :)
Answer:
(-9*-2=18)
this * means multiply you probably already know that
Someone please answer this without trying to send me a link
Answer:
y=-2x+5
Step-by-step explanation:
y=-2x+5
What is the surface area of the cylinder shown below? Use 3.14 for π.
A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2
it is C
Step-by-step explanation:
i did the test
Answer:
The answer is actually B.
Step-by-step explanation:
I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)
multiply the polynomial
(x-1)(2x^2-5x+1) 
Answer:
2x^3 - 7x^2 + 6x - 1
Step-by-step explanation:
Thank me later lol.
Kareem said that four fifths of his age is 16years how old is Kareem?
Answer:
12.8 so about 13
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
4/5 of his age = 16
1/5 of his age = 16/4=4
which means that 5/5 of his age = 16+4 = 20
Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic
Answer:
it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
did the math
X-11=28 Show work I. Need helpp
Answer:
39-11=28 so that means X=39
Step-by-step explanation:
all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer
Answer:
x = 39
Step-by-step explanation:
step 1.
Add 11 to both sides
x - 11 = 28
x - 11 + 11 = 28 + 11
step 2. Add the numbers
− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!
The side adjacent to ∠W is …
Question 1 options:
side 34
side WU
side 90
side VW
The side adjacent to ∠W is side WU.
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Answer:
(b) side WU
Step-by-step explanation:
With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".
The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.
(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)
Find x and y and thank you
Answer:
x = 8.66
y = 5
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.
This question is incomplete, the complete question is;
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.
Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours.
Answer:
the likelihood of obtaining a sample mean of 1.98 hours or less is 0.0985
Step-by-step explanation:
Given the data in the question;
x" = 1.98
μ = 2.35
s = 1.93
n = 45
so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )
we substitute in our values,
p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )
= p( -0.37 / 0.2877
= P( - 1.29 )
from standard normal table,
P( - 1.29 ) = 0.0985
Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is 0.0985
when do we say two points are said to be collinear
Answer:
never heard of that word lol
Step-by-step explanation:
Which graph represents function f?
f(x) = (1/3)^x
Answer:
The second group represents function f.
Step-by-step explanation:
Hope it helps...
Have a great day
A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The graph that represents the function can be chosen by substituting the values and checking the function.
If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.Hence, the correct graph is B.
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Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
SHOW STEPS PLEASE...
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Answer:
(5 15/20) -(2 8/20) = 3 7/20
Step-by-step explanation:
Problems in "least common denominator" are made much easier if you are familiar with your times tables.
When you compare the denominator 4 to the denominator 20, you see that ...
20 = 5 × 4
An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.
[tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]
Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.
[tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]
Then the desired difference is ...
[tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]
4) There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many beads are in each bag? * O 700 O 600 O 820 O 580
Answer:
700 beads are in each bag.
Step-by-step explanation:
4 part question help me pls 100 points
In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?
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Answer:
there is no M in the diagram145°325°104°Step-by-step explanation:
EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.
1. There is no M
__
2. arc EF = arc EG -arc FG = 180° -35°
arc EF = 145°
__
3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI
arc EGI = 360° -arc EI = 360° -35°
arc EGI = 325°
__
4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:
arc EI = 180° -arc GI = 180° -76°
arc EI = 104°
Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!
Answer:10 to the power of 8
Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.
What is 48 divided by 613
Answer:
0.07830342577 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Answer:
0.07830343
Step-by-step explanation:
Find the mean absolute deviation (MAD) of the data in the pictograph below.
Answer:
its 1
Step-by-step explanation:
The probability that it will rain on any given day is 15% or 0.15. Find the probability it will rain at least once in the next three days.
Answer:
1/2 * 3/5 = 3/15 = 1/5
Step-by-step explanation:
Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70
The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
What is interest?Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.
For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.
Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.
Emma invested in Simple interest and Paul invested in compound interest,
We need to find the amount of both after 8 years.
Formula to be used =
Simple interest = PRT / 100 [p = principal, r = rate and t = time]
Compound interest =
A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]
So,
Emma's account after 8 years =
2000 × 6 × 8 / 100 + 2000 = $2960
Paul's account after 8 years =
A = 2000(1+0.06)⁸
A = $3187.7
Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
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Homework 2: Special Right Triangles Questions 16-24
I’ll give brainliest!
Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
Answer:
3.5
Step-by-step explanation:
Can someone help me with this
(show work)
Answer:
16
Step-by-step explanation:
$500 ÷ $31.25 = the number of the calculator that the school bought
It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.
4(x + 1) – 2x = 5 – x , what is the value of x ?
Answer:
x=3
Step-by-step explanation:
4(x+1) -2x = 5-x
divid 4 by whats in parentheses
4x+4 -2x =5-x
combind 4x and -2x
2x+4=5-x
combind 2x and x
3x+4=5
subtract 4 from 5
3x=1
3÷3 and 1÷3
x=3
Answer:
x = 0.33
Step-by-step explanation:
4(x + 1) - 2x = 5 - x
4x + 4 - 2x = 5 - x
4x - 2x + 4 = 5 - x
2x + 4 = 5 - x
2x + x + 4 = 5 - x + x
3x + 4 = 5
3x = 5 - 4
3x = 1
3x ÷ 3 = 1 ÷ 3
x = 0.33
If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?
Answer:
$150
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or: I= p * r * t