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kolezko [41]
4 years ago
5

12. The perimeter of a rectangle is 50 feet. The width is 5 less than the

Mathematics
1 answer:
Vlad [161]4 years ago
7 0

Step-by-step explanation:

Length = x

Width = (x-5)

Perimeter = 2 lengths + 2 widths

50 ft = x + x + (x-5) + (x-5)

50 ft = 4x - 10

60 ft = 4x

15 ft = x

length = x = 15 ft

width = (x-5) = (15 -5) = 10 ft

dimensions = length × width

= 15 ft × 10 ft

if you wanna check,

50 ft = x + x + (x-5) + (x-5)

50 ft = 15 + 15 + (15-5) + (15-5)

50 ft = 30 +(10+10)

50 ft = 30 + 20

50 ft = 50

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Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime
Anton [14]

Answer:

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount  of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed

Answer from jmonterrozar

3 0
3 years ago
What is the quotient of 4 1/4 / 2 1/5
Snezhnost [94]

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 4\frac{1}{4} we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get \frac{17}{4}. Similarly, we get the improper fraction \frac{11}{5} for converting the mixed fraction 2\frac{1}{5} .

Step 2; After conversion, it's just a matter of division. The fraction \frac{17}{4} equals 4.25 while the denominator \frac{11}{5} equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.

5 0
4 years ago
If cos⁡ x=−45, and 180° < x < 270°, what is tan⁡(2x)?
iVinArrow [24]

Tan2x =\frac{-24}{7}

<u>Step-by-step explanation:</u>

Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,

180° < x < 270° i.e. in third quadrant  . We need to find tan⁡(2x) . Let's find out:

⇒ Tan\alpha  = \frac{sin\alpha }{cos\alpha }

⇒ Tan\alpha  = \frac{\sqrt{1-(cos\alpha)^2} }{cos\alpha }

⇒ Tan\alpha  = \frac{\sqrt{1-(\frac{-4}{5})^2} }{\frac{-4}{5} }

⇒ Tan\alpha  = \frac{-5}{4}\sqrt{1-(\frac{16}{25}) }

⇒ Tan\alpha  = \frac{-5}{4}\sqrt{(\frac{25-16}{25}) }

⇒ Tan\alpha  = \frac{-5}{4}(\frac{3}{5}) }

⇒ Tan\alpha  = \frac{-3}{4} , since in third quadrant . Tan\alpha  = \frac{-3}{4} remains same .

Now , Tan2x = \frac{2tanx}{1-(tanx)^{2}}}

⇒ Tan2x = \frac{2tanx}{1-(tanx)^{2}}}

⇒ Tan2x = \frac{2(\frac{-3}{4})}{1-(\frac{-3}{4})^{2}}}

⇒ Tan2x = \frac{-3}{2}(\frac{16}{7})

⇒ Tan2x =\frac{-24}{7}

Therefore, Tan2x =\frac{-24}{7} .

5 0
4 years ago
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He p
eduard

Answer:

The second ramp needs to have 25°.

Step-by-step explanation:

Required ramp angle for driving the car from the ground = 35°.

First ramp angle = 15°

Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°

The 20° ramp angle will make the total ramp angle to be equal to 35°.

That is 15° + 20° = 35°

4 0
3 years ago
Factor this polynomial completely.<br> 12x2+x-6
jonny [76]

Answer:

(

4

x

+

3

)

(

3

x

−

2

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Step-by-step explanation:

8 0
3 years ago
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