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2 years ago

6th grade math, some one help please. Thank you

Mathematics

1 answer:

emmainna [20.7K]2 years ago

6 0

number 1: 6x10x5= 300

1 is 300

number 2: 12x8x6=576

2 is 576

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Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for

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2 years ago

Factorise 9w² - 100<br><br><br>

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

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2 years ago

Find the volume of a cone of radius 49cm and height 10cm

den301095 [7]

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 49 cm

Height (h) = 10 cm

Volume of cone=?

Now,

Applying the formula to find the volume of cone:

$\pi \: {r}^{2} \frac{h}{3}$

Plugging the values,

$\frac{22}{7} \times {49}^{2} \times \frac{10}{3}$

$\frac{22}{7} \times 2401 \times \frac{10}{3}$

Calculate

$25153.34 \: {cm}^{3}$

Hope this helps...

Good luck on your assignment..

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2 years ago

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