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Fantom [35]
3 years ago
13

Maria lives in England, where the currency used is British pounds. Maria received a gift that was worth 90 US

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

I just looked up how much is 90 dollars is worth in England and it said "67.59 Pound sterling". So 64 is the closest

Anna35 [415]3 years ago
3 0
The answer choice for your problem would be b most likely
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Hello!

To find the slope of the line that passes through the points (3, 6) and (5, 3), we will need to use the slope formula.

Slope formula is \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

Now, we should assign the given points as x1, y1 or x2, y2. The point (3, 6) can be assigned to x1, y1, and (5, 3) to x2, y2.

Now, substitute the given points into the slope formula.

\frac{3-6}{5-3} =  -\frac{3}{2}

Therefore, the slope of the line is choice A, -3/2.

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3 years ago
Prove each of these identities.
Stella [2.4K]

Answer:

Identity (a) can be re-written as

sec x\ cosec x  - cot x = tan x

which we already proven in another question, while for idenity (b)

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step A is simply expressing each function in terms of sine and cosine.

step B is adding the terms on the LHS while multiplying the one on RHS.

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a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b
nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))

Both values of x are

x1=-6+\sqrt{266}

x2=-6-\sqrt{266}

Part 2) The dimensions of the cuboid are

4\ cm, (-5+\sqrt{266})\ cm and (5+\sqrt{266})\ cm

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

V=LWH

substitute the given values

V=4(x+1)(x+11)

V=924\ cm^{3}

so

4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0

Complete the square

x^{2}+12x-230=0

x^{2}+12x=230

x^{2}+12x+36=230+36

(x+6)^{2}=266

square root both sides

x+6=(+/-)\sqrt{266}

x=-6(+/-)\sqrt{266}

so

x1=-6+\sqrt{266}

x2=-6-\sqrt{266}

therefore

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))

step 2

Find the dimensions of the cuboid

The dimensions are

4\ cm

(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm

(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm

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3 years ago
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lilavasa [31]

487.2

Find mean by adding all numbers together and then dividing by the number of numbers

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