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3 years ago

In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.

1 answer:

6 0

I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2

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Round 657 to the nearest ten

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3 years ago

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The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took vary

Genrish500 [490]

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, x.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

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3 years ago

Is a rectangular prism has a length width and height of 3/8cm, 5/8cm and 7/8 in a meter respectively then the volume of the pris

myrzilka [38]

The volume of a rectangular prism is given by the multiplication of its three dimensions: if $w, h, l$ are the width, height and length of the prism, the volume is

$V = w\cdot h\cdot l$

So, in your case, you have

$V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}$

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3 years ago

What is the solution of each equation 4z=20: z=5 z=2 z=7 z=6

uysha [10]

Answer:

43/6=z

Step-by-step explanation:

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3 years ago

9. If each of the following pairs represents a pair of equivalent rational

Oksi-84 [34.3K]

Answer:

-35/6

Step-by-step explanation:

We need to find the value of x , And the given pair of Rational numbers are equal.

Question (I) :-

→ 3/4 = 7/x

→ 7/x = 3/4

→ 1/x = 3/4 × 1/7

→ 1/x = 3/28

→ x = 28/3

Question (ii) :-

→ x/7 = -5/6

→ x = -5/6 × 7

→ x = -35/6

<h3>• Hence the value of x is -35/6 .</h3>

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3 years ago