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3 years ago

The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?

1 answer:

5 0

Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)

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1-sin60÷cos60=1-Tan30÷1+Tan30

ipn [44]

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

8 0

4 years ago

A jar contains 11red marbles, 12 blue marbles and 6 white marbles. Four marbles from the jar are selected. With each marble bein

tangare [24]

Answer:

Red on the 5th draw = 0.0907

Step-by-step explanation:

The first to fourth selections are all the same.

Blue + white = 12 + 6 = 18

The total number of marbles is 11 + 12 + 6 = 29

P(~ red) for the first four times = (18/29)^4 = 0,1484

Now on the 5th time, the first red is 11/18

So the Probability is 0.1484 * 11/18 = 0.0907

5 0

3 years ago

Without graphing, find the slope of the line that goes through

Lostsunrise [7]

Use the linear equation “slope of a line” to find the slopes of the given points. m= y2-y1/x2-x1

8 0

3 years ago

Read 2 more answers

How much will the window cost?

vekshin1

Answer:

$672

Step-by-step explanation:

First find the area so:

5*4=20ft

2^2*3.14=12.56ft

20+12.56=32.56ft

Second find the price for the area:

32.56*12=$672

Hopefully it's correct!

3 0

3 years ago

The perimeter of rectangle QRST is the same as the perimeter of rectangle LMNP which is 17x. The length of rectangle QRST is 2x+

ELEN [110]

Given;

Preimeter of QRST = Perimeter of LMNP

Perimeter of LMNP = 17x
So,
Perimeter of QRST LMNP = 17x

Now,
Length of QRST = 2x + 9
Width = ?

We know,
Perimeter = 2 (l + w)
17 x = 2 (2 x + 9 + w)
17 x = 4 x + 18 + 2 w
17 x -4 x - 18 = 2 w
13 x - 18 = 2 w
w = (13 x - 18) / 2

$w = \frac{13}{2} x-9$ <-- our answer

7 0

3 years ago