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3 years ago

Solve lim x->0 (1+sinx)/cosx

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

Answer:

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

:. Lim x->0 =1

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5-2.5 , how is this 2.5?

Y_Kistochka [10]

Well 2.5 + 2.5 is 5 so 5 - 2.5 is 2.5

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3 years ago

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A cone has a radius of 24 cm and a volume of 1,920 cm cubed. What is the Volume of a similar cone with a radius of 18 cm?

Maurinko [17]

24 * 3/4 = 18

The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.

So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller

So we have 1920 * (27 / 64) = 810.

Final answer: B

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3 years ago

At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the

Furkat [3]

Answer:

w < 8 meters ( w must be greater than 0 because length cannot be 0)

Step-by-step explanation:

One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).

Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:

Rope Needed = 23 + 2w < 39

Simplifying:

$23 + 2w < 39\\2w < 39 - 23\\2w < 16\\w < 8$

The range of possible values of w is $w$ meters (of course w has to be greater than 0)

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4 years ago

HELP HELP PLEASE I NEED HELP

dimaraw [331]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

PEMDAS

<h3>tips and formulas:</h3>

order of PEMDAS

parentheses
exponent
multiplication or
division
addition
subtraction

left to right

<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>

<u> $\sf simplify \: divition: \\ \tt 14 + 33 + 0.4$ </u>
<u> $\sf simplify \: additio n : \\ \tt 47.4$ </u>

therefore

<h3>the equality is false</h3>

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3 years ago

If a is an integer, prove that (14a + 3, 21a + 4) = 1.

Firdavs [7]

Answer:

(14a+3, 21+4) = 1

Step-by-step explanation:

We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

Therefore,

(14a + 3, 21a + 4) = 1

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3 years ago