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3 years ago

Simplify the expression

Mathematics

2 answers:

nexus9112 [7]3 years ago

5 0

Answer:B

Step-by-step explanation:

nexus9112 [7]3 years ago

3 0

Answer:

the first one

Step-by-step explanation:

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Geometry/////

Montano1993 [528]

Answer:

A = 388.58 cm^2

Step-by-step explanation:

For a cone whose base has a radius R, and a hypotenuse S, the area is:

A = pi*R^2 + pi*R*S

Where pi = 3.14

In this case, we can see that the diameter is: 15cm

Then the radius, half of the diameter, is:

R = 15cm/2 = 7.5cm

The hypotenuse is 9cm, then S = 9cm

A = 3.14*(7.5cm)^2 + 3.14*(9cm)*(7.5cm) = 388.575 cm^2

Rounding to two decimal places, we need to look at the third one, which is a five, so we need to round up:

A = 388.58 cm^2

3 0

3 years ago

Can someone solve this?

aleksley [76]

Answer:

Considering the Law of Cosines:

$c^2=a^2+b^2-2ab*cosC$

$a=14mi; b=24mi; c=CA; C=91degrees$

$\cos \left(91^{\circ \:}\right)=-0.01745\dots$

$c^2=14^2+24^2-2(14)(24)*\cos \left(91^{\circ \:}\right)\\c^2=196+576-672*\cos \left(91^{\circ \:}\right)\\c^2=772-672*\cos \left(91^{\circ \:}\right)\\c^2=772-672*(-0.01745)\\c^2=772+11.7264\\c=\sqrt{772+11.7264} \\c=\sqrt{783.7264}\\c=27.99mi$

4 0

3 years ago

Find two positive real numbers whose product is a maximum. the sum is 80

Eduardwww [97]

Let's say the numbers are "a" and "b"

thus $\bf y=ab\qquad 
\begin{cases}
a+b=80\\
b=80-a
\end{cases}\implies y=a(80-a)\implies y=80a-a^2\\\\
-----------------------------\\\\
\cfrac{dy}{da}=80-2a$

set the derivative to 0, and check the critical points, there's only one anyway

and do a first-derivative test, to see if it's a maximum

4 0

3 years ago

Read 2 more answers

For the data set below, which of the following measures is greatest? (20, 25, 30, 31, 32, 45, 45, 80). I will give 28 points!

shutvik [7]

Answer:

D.Mean

Step-by-step explanation:

3 0

3 years ago

Determine the place value of the digit 2 in the following whole number: 3,204,000

andrey2020 [161]