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2 years ago

IDENTIFY the ERROR. Javier wants to paint the bottom of his circular

Mathematics

1 answer:

Katarina [22]2 years ago

5 0

Answer:

step 3, 4 and 5 are incorrect

Step-by-step explanation:

area of a circle = 3.14(radius)squared

3.14 x 25squared

=3.14 x 625

=1962.5

tip area of circle equals "Pies are squared" $\pi$ $r^{2}$

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A cereal manufacturer packages breakfast cereal in individual - sized boxes measuring 2 inches by 3 inches by 4 inches. The same

Ilia_Sergeevich [38]

Answer:

2.5

Step-by-step explanation:

3 0

2 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

The greatest common factor of 60w^5y^3 and 78wy^2 is

SIZIF [17.4K]

The answer would be 6w^5y^3

4 0

2 years ago

Simplify x^3 y ^4 / 3y^4

hjlf

We can cancel out the y^4 on the top and bottom of the fraction.

this gives us...

(x^3)/3

3 0

3 years ago

A recipe says it produced the best sweet tea. In addition to using tea bags, the recipe calls for ½ cup of sugar for every 1 ½ c

Sergio [31]

Answer:

The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

$\frac{1}{2} s = \frac{3}{2}w\\\\s= 3w\\\\w = \frac{s}{3}$

Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

7 0

2 years ago

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