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2 years ago

How do I solve this??

Mathematics

1 answer:

Helga [31]2 years ago

6 0

You want to use the Pythagorean Theorem: a squared+b squared=c squared

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35% of ___ days is 42 days

azamat

(35/100)*42= 14.7 days.

This principle apples to all form conversion that requires finding a percentage of a number.

5 0

2 years ago

Find limit as x approaches 1 for x-1/ x^2-3x+2

zysi [14]

I'm going to assume that you meant the following:

(x-1)

---------------

x^2-3x+2

Factoring the denominator, we get:

(x-1)

------------

(x-1)(x-2)

Notice that we have x-1 in both the numerator and the denominator. This factor cancels. HOWEVER: x can still not equal 1, which would lead to div. by zero. With the factor x-1 cancelled, we have 1 / (x-2). As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1. Thus, the limit exists and is -1.

8 0

3 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Leviafan [203]

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

6 0

3 years ago

Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly remove

adoni [48]

Answer:

0.30

Step-by-step explanation:

Given that:

Total number of trials = 61

Number of orange chews = 38

Number of cherry chews = 5

Number of peach chews = 18

Probability that next chew removed will be a peach chew ;

This is an experimental probability problem ;

Using the relation :

Experimental probability of A;

Number of successes (A) / total number of trials

Hence, Probability that next chew removed will be a peach chew ;

Experimental probability of peach chew :

Number of trails = 61 ; number of successes (peach chew) = 18

P(peach chew) = 18 / 61

P( peach chew) = 0.2950819

= 0.30 ( nearest hundredth)

4 0

2 years ago

A right rectangular prism's edge lengths are 10.5 inches, 5 inches, and 2 inches. How many unit cubes with edge lengths of .5 in

Ede4ka [16]

Answer:

840 cubes

Step-by-step explanation:

First we need to find the volume of each one:

Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3

Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3

Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:

Number of cubes = 105 / 0.125 = 840 cubes

6 0

3 years ago