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Stels [109]
3 years ago
13

F(x)=

" class="latex-formula"> and g(x)=x^{2}

find f(g(-6)
Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer:

f(g(-6))=2\sqrt{10}

Step-by-step explanation:

first we need to find g(-6)

g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36

so g(-6)=36

so we need to find f(36)

f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}

so that's answer

f(g(-6))=2\sqrt{10}

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A bottle contains 255 coins. 1/3 of the coins are ?1.00. 110 of the coins are 50p coins. the rest are 20p coins. work out the to
aliina [53]

Answer:

£152.

Step-by-step explanation:

We have been given that a bottle contains 255 coins. 1/3 of the coins are  £1.00.

Let us find 1/3 of 255 to find the number of £1 coins.

\£1\text{ coins}=\frac{1}{3}\times 255

\£1\text{ coins}=85

This means we have £85.

We are also told that 110 of the coins are 50 p coins.

\text{Value of 50 p coins}=\£0.50\times 110

\text{Value of 50 p coins}=\£55

Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.

\text{Number of 20 p coins}=255-(85+110)

\text{Number of 20 p coins}=255-(195)

\text{Number of 20 p coins}=60

\text{Value of 20 p coins}=\£0.20\times 60

\text{Value of 20 p coins}=\£12

Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.

\text{The total value of the coins}=\£85+\£55+\£12

\text{The total value of the coins}=\£152

Therefore, the total value of the coins contained in the bottle is £152.

4 0
3 years ago
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Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

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The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

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Therefore option 2 is correct.

The perimeter of an equality triangle is

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Option 3 is incorrect.

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Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

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3 years ago
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