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2 years ago

What is the length of EF in the right triangle below?

Mathematics

2 answers:

Lyrx [107]2 years ago

8 0

Answer:

\sqrt(217)

Step-by-step explanation:

(19)^2=(12)^2

361 - 144 + 217

\sqrt(217)

andriy [413]2 years ago

8 0

Answer:

$\sqrt{217}units$

Step-by-step explanation:

Given : A right angled triangle EFD

Hypotenuse = ED=19 units

Base = DF =12 units

Perpendicular = EF

Solution:

To find length of EF we will use Pythagorean Theorem:

$(Hypotenuse)^{2}=(Perpendicular)^{2}+(Base)^{2}$

$ED^{2}=EF^{2}+DF^{2}$

$19^{2}=EF^{2}+12^{2}$

$361=EF^{2}+144$

$361-144=EF^{2}$

$217=EF^{2}$

$\sqrt{217} =EF$

Thus the length of EF is $\sqrt{217}units$

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Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have

frosja888 [35]

Answer:

Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.

Step-by-step explanation:

To find a fraction equivalent to 2/10, we need to multiply (or divide) the numerator and denominator by the same nonzero whole number.

As we need an equivalent fraction with a denominator greater than 10, we will need to multiply and not divide.

The first nonzero whole number we have is 1. If we multiply the numerator and denominator by 1, we get 2/10. Obviously, 2/10 is equivalent to 2/10 but the denominator is not greater than 10, so it doesn't help us.

The next whole number is 2. When we multiply the numerator and denominator by 2, we get 4/20. The denominator is not less than 20.

If we keep going, we will get 6/30, 8/40 and so on.

Therefore, Nadiya is correct.

The correct answer is the first one.

8 0

2 years ago

Read 2 more answers

What is the value of y? y = Find the following angle measures. mJKM = ° mMKL

shusha [124]

Answer: ∠JKM = $106\textdegree$ and

∠JKM = $74\textdegree$

Step-by-step explanation:

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So, $10y+6+8y-6=180\textdegree \\\\18y=180\textdegree \\\\y=\frac{180\textdegree}{18\textdegree}\\\\y=10\textdegree$

∠JKM = $10\times 10+6=100+6=106\textdegree$

and

∠MKL = $8\times 10-6=80-6=74\textdegree$

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2 years ago

Read 2 more answers

What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1

torisob [31]

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

= GJ+(HK-HJ)

= 4x+2+((6x-1)-x)

= 4x+2+6x-1-x

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

=9(4)+1

=36+1

=37

find GH and JK=?

Given:

GK=37

Formula:

GH = GJ-HJ

= 4x+2- x

= 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

= 3(4)+2

= 12+2

= 14

Formula:

JK= HK-HJ

= 6x-1- x

= 5x-1

put the value of x in the above equation:

= 5(4)-1

= 20-1

=19

8 0

2 years ago

What is the completely factored form of p4 - 16?

il63 [147K]

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Step-by-step explanation:

We have to factorize the given expression to get the final result

Given

$p^4-16\\Using\ Formula: a^2-b^2=(a+b)(a-b)\\(p^2)^2-(4)^2\\=(p^2+4)(p^2-4)$

p^2-4 can further be factored again

$=(p^2+4)[(p)^2-(2)^2]\\=(p^2+4)(p+2)(p-2)$

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Keywords: Factorization

Learn more about factorization at:

#LearnwithBrainly

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2 years ago

John needs 13 bottles of water from the store. john can only carry 3 at a time. what's the minimum number of trips john needs to

Lostsunrise [7]

The minimum amount of trips would be 5. This is because in one trip he can only carry 3, so you would take 5 times 3. You may think it should be 4 trips, but 12 is 1 short of 13,so you would have to make one extra trip to get all 13 bottles.

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2 years ago