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3 years ago

14

Which statement best describes the interquartile range of this set of weights?

1 answer:

Alex Ar [27]3 years ago

6 0

Answer:

D

Step-by-step explanation:

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

2 years ago

What % of $30 is $21?

Black_prince [1.1K]

Answer:

70

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years? R

Thepotemich [5.8K]

Use the compound amount formula:

A = P*(1+r/n)^(nt)

Here,

A = $3500*(1+0.0375/12)^(12*12) = $5485.24

4 0

3 years ago

Ayo helppp ill give u anthing

kicyunya [14]

Answer:

16.9 m

Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

180 - 21 - 21 = 138

The central angle is 138 deg.

The radius is 7 m.

Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

$s = \dfrac{n}{360^\circ}2 \pi r$

$s = \dfrac{138^\circ}{360^\circ}2(3.14159)(7~m)$

$s = 16.9~m$

4 0

3 years ago

A storage container is rectangular and has a length of 15ft and a width of 4ft. It will hold 270 cubic feet of materials. What i

KonstantinChe [14]

Volume of a rectangular prism = l × w × h.

In this case,

V = 270 cubic feet

l = 15 feet

w = 4 ft

h = ?

Plug our values into the volume formula.

270 cubic feet = 15 feet × 4 feet × h.

Simplify the right side

270 = 60 × h.

Divide each side by 60.

4.5 = h

The height is 4.5 feet.

5 0

3 years ago