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3 years ago

Can someone solve this?

Mathematics

1 answer:

inn [45]3 years ago

6 0

Answer:

1. 15 degrees.

2. 90 degrees.

3. 66 degrees.

Step-by-step explanation:

M and 2 appear to be 90 degrees. This is because there are parallel sides on the left and right of the kite. So, 2 is 90 degrees.

E and 75 are corresponding (I don't remember the postulate or whatnot) so 90 degrees plus 75 degrees is 165 degrees. There are 180 degrees in a triangle, so 180 minus 165 is 15. 1 Has to be 15 degrees.

3 is 66 degrees since it is corresponding with the angle on the other side of T (I, once again, do not remember the postulate).

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Given f(x)=4/5x + 13, find the inverse f-¹(x)<br>Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)

Elodia [21]

f-¹(x) = 69/5y
f-¹(x) = 13 + 4y/(y + 10)

<h3>How to determine the inverse </h3>

The steps involved in determining the inverse of a function are;

Replace f(x) with y in the equation describing the function
Interchange x and y
Solve for y
Replace y by f-1(x)

If f(x) = 4/5x + 13

y = 4/5y + 13

y = 4 + 65 /5y

f^-1 = 4 + 65 /5y

f^-1(x)= 69/5y

If f(x)= 3/x+10 + 4

y = 3/y + 10 + 4

y = 3 + 4y + 10/(y + 10)

y = 13 + 4y/(y + 10)

f^-1(x) = 13 + 4y/(y + 10)

Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)

Learn more about functions here:

brainly.com/question/6561461

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2 years ago

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Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish

Luba_88 [7]

Answer:

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = $\frac{1}{6}$

Total pounds of pebbles that Timothy can use = $2\frac{1}{3}$

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

$1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}$

Now, the given mixed fraction can be converted to fractional number as:

$2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}$

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

$\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}$

<em>14</em> number of fish bowls can be filled.

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