Ask question

Ask question

All categories

3 years ago

13

Consider the problem 208.4 x 396.51. If I round 208.4 down to the nearest hundreds place and I round 396.51 up to the nearest hu

ndreds
place, which of the following answers is a reasonable estimate?

1 answer:

WARRIOR [948]3 years ago

6 0

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

You might be interested in

Construa o gráfico de y=2x-8

galina1969 [7]

We know that 8 times 2 is 16 so all you have to do it switch the problem around so that means y=16

6 0

3 years ago

If the ratio of radius of two spheres is 4:7, the ratio of their volume is?

Kazeer [188]

Answer:

64 : 343

Step-by-step explanation:

First use the radii to find the volume

1) Radius of first sphere is 4 (taken from 4:7 ratio)

Insert it into the equation for volume of a sphere: V=4 /3πr^3

V = (4/3)(π)(4^3)

V = (4/3)(π)(64)

V = 256/3 π

Volume of the first sphere = 256/3 π

2) Radius of the second sphere is 7 (also taken from 4:7 ratio)

Insert it into the equation for volume of a sphere: V=4 /3πr^3

V = (4/3)(π)(7^3)

V = (4/3)(π)(343)

V = 1372/3 π

Volume of the second sphere = 1372/3 π

Next, calculate the ratio by dividing the two numbers

256/3 π ÷ 1372/3 π

Answer should be 64 : 343

The simple way to do this problem is to just cube the numbers:

4:7 becomes 4^3 : 7^3 = 64 : 343

Either way works.

6 0

4 years ago

A forest ranger stands at the top of a 120 foot fire tower. He spots a fire 900 feet away from the base of the tower. What is th

allochka39001 [22]

Answer: $7.6\°$

Step-by-step explanation:

You need to draw a right triangle as the one attached, where $\alpha$ is the angle of elevation from the fire to the top of the fire tower.

You need to use the Inverse trigonometric function Arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

Observe the triangle. You can identify that:

$opposite=120\\adjacent=900$

Then, you can substitute values:

$\alpha= arctan(\frac{120}{900})$

Finally, evaluating, you get that the angle of elevation from the fire to the top of the fire tower is the following:

$\alpha =7.59\°$

Rounded to the the nearest tenth of a degree:

$\alpha\approx7.6\°$

4 0

3 years ago

What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns

Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

$A=\frac{1}{2}(9)(6)=27\ in^2$

step 2

Determine the area of the square

$A=(3^2)=9\ in^2$

step 3

Determine the probability

$P=\frac{9}{27}$

simplify

$P=\frac{1}{3}$

therefore

One-third

5 0

3 years ago

Make y the subject <br><br> M+y=s<br> Y-2g=n

lutik1710 [3]

1.) y=-M+s
2.) Y=2g+n
Hope this helped :)

8 0

3 years ago