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Masja [62]
3 years ago
10

The largest frog in the world is the goliath,found in west africa. It can grow to be 12 inches long. The smalest in the world is

about 2.5 as long as the goliath . About how long is the smallest frog in the world
Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

4.8 inches

Step-by-step explanation:

Given: The largest frog in the world is goliath which is 12 inches long.

           The smallest frog is about 2.5 as long as the goliath.

Lets assume the length of smallest frog be "x".

As given, smallest frog is about 2.5 as long as the goliath.

∴ we can form equation as 2.5x= 12\ inches

Solving the equation to find the value of x

2.5x= 12

Dividing both side by 2.5

⇒ x= \frac{12}{2.5}

∴ x= 4.8\ inches

Hence, the length of smallest frog is 4.8 inches.

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vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Sara lost 12 pounds over the summer by jogging each week. By winter time she had gained 4 3/8 pounds. Represent this situation w
Vika [28.1K]

The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds

<h3>Represent this situation with an expression involving signed numbers. </h3>

Let Sara's initial weight be w.

The given parameters are:

Lost = 12 pounds

Gain = 4 3/8 pounds

The situation with an expression involving signed numbers is represented as:

Weight = Initial - Lost + Gain

So, we have:

Weight = w - 12 + 4 3/8

<h3>What is the overall change in Sara’s weight?.</h3>

In (a), we have:

Weight = w - 12 + 4 3/8

The overall change is:

Change = - 12 + 4 3/8

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Change = -7 5/8

Hence, the overall change in Sara’s weight is -7 5/8 pounds

Read more about sum and difference at:

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Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

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We have a cone here conjoined to a semi-sphere.

so

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semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

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Total Volume =  15π + 18 π= 33π cubic mm

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Answer:

Step-by-step explanation:

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