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saveliy_v [14]
3 years ago
12

Find an expression for the area of this rectangle (2x+1) (x+8)

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0
The correct awnser is this is not a perfect rectangle because it does not have a polynomial value I hope I helped you out with this problem if so please feel free to mark me the brainliest or to give me a thanks
stepan [7]3 years ago
4 0
Assuming the brackets you have given are two of the sides of the rectangle (I apologise if that's not the case), you just need to multiply the brackets together, which means multiplying each term. Therefore: 2x × x, 2x × 8, 1 × x, and 1 × 8. The answers to these are 2x^2, 16x, x, and 8. Then you just add these terms to get 2x^2 + 17x + 8
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Lisa is on a trip of 887 miles. She has already traveled 98 miles. She has 3 days left in her trip. How many miles does she need
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3 years ago
In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.
OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

<u>s</u>inθ = <u>o</u>pposite/<u>h</u>ypotenuse           Soh

<u>c</u>osθ = <u>a</u>djacent/<u>h</u>ypotenuse          Cah

<u>t</u>anθ = <u>o</u>pposite/<u>a</u>djacent                Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the <u>hypotenuse</u>. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the <u>adjacent</u> side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has <u>hypotenuse</u> and <u>adjacent</u>: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = d*\frac{41ft}{d}     Multiply both sides by "d"

dcos77° = 41 ft                          

dcos77° / cos77° = 41 ft / cos77°        Divide both sides by cos77°

d = 41 ft / cos77°                      Input into calculator

d = 182.261874....... ft           Unrounded answer

d ≈ 182 ft                       Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

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madreJ [45]

Answer:

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tatiyna

Answer:

2

Step-by-step explanation:

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4:2 is the ratio, and that is equal to 2

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