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2 years ago

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Mathematics

2 answers:

Reil [10]2 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

Firstly, calculate the area of the rectangle with the formula:

Length x width = area

(x+6) * 3 = 3x + 18

The formula for the area of a triangle is:

$\frac{1}{2} * b * h$

We can plug the known variables into the equation and get:

$\frac{1}{2} * 8 * (x+4)$

4 * (x + 4)

4(x + 4)

4x + 16

As the two areas are the same:

4x + 16 = 3x + 18

Subtract 3x from both sides of the equation:

4x + 16 - 3x = 3x + 18 - 3x

x + 16 = 18

Subtract 16 from both sides of the equation:

x + 16 - 16 = 18 - 16

x = 2

Hope this helps!

LuckyWell [14K]2 years ago

3 0

Answer:

Step-by-step explanation:

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Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite

Over [174]

First you have to write the equation. in the scenario, use standard form.
Ax+By=C
plug the numbers in. A=2.50, B=1.25, and C is the total, 356.25. the 180 doesn't come in quite yet.
your equation is 2.50x+1.25y=356.25. now, since they only bought 180 items, you can't go past that.

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3 years ago

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Natalija [7]

Answer:

1/4 - 1/8 = 2/8 - 1/8 = 1/8

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2 years ago

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Use the Pythagorean theorem to find the distance form Emma’s house to the pool

laiz [17]

What are the measurements?

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3 years ago

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

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3 years ago

22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.

iVinArrow [24]

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

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