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A rectangle has a height of t^2+7t+6t

jek_recluse [69]

Answer:

$2t^3+15t^2+19t+6$

Step-by-step explanation:

Height of the Rectangle $=t^2+7t+6$

Width of the Rectangle $=2t+1$

Area of the Rectangle = Height X Width

$=(2t+1)(t^2+7t+6)\\=2t(t^2+7t+6)+1(t^2+7t+6)\\=2t^3+14t^2+12t+t^2+7t+6\\$Collect like terms\\=2t^3+14t^2+t^2+12t+7t+6\\Area=2t^3+15t^2+19t+6\\$

The area of the rectangle is $2t^3+15t^2+19t+6$

4 0

3 years ago

Need help asap plss.

yanalaym [24]

Answer:

EF = 20 cm

Step-by-step explanation:

Here, we want to find the length of EF

To do this, we use the principle of similar triangles

The similar triangles we are considering here will be ;

FEA and FBD

when two triangles are similar, the ratio of their corresponding sides are equal

Let us calculate DC first

we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides

Using the triangle EDC

15^2 = 12^2 + DC^2

DC^2 = 225-144

DC^2 = 81

DC = 9

So the entire length of BD is 9 + 12 = 21 cm

Thus, we have it that;

Let EF be x

so DF = 15 + x

Hence;

BD/DF = AE/EF

21/15+x = 12/x

21x = 12(15 + x)

21x = 180 + 12x

21x-12x = 180

9x = 180

x = 180/9

x = 20 cm

EF = 20 cm

6 0

2 years ago

Nelson got a pack of 12 pencils. he took 3 pencils and put it in is desk at school and 2 pencils to put in is locker at school.

prohojiy [21]

1 1\2. so he had that fraction as all after

8 0

2 years ago

Convert the following percent to a decimal: 56 percent.

mihalych1998 [28]

Answer:

0.56

Step-by-step explanation:

Percent means 'per 100'. So 56% means 56 per 100 or simply 56/100. If you divide 56 by 100, you'll get 0.56.

56/100 = 0.56

5 0

2 years ago

Find the value of x. Round the length to the nearest tenth.

larisa [96]

Answer:

x = 7.9

Step-by-step explanation:

Given:

Angle - 44

Hypotenuse - 11 ft

adjacent side - x

having adjacent and hypotenuse use Cosine to solve the problem from

S-oh C-ah T-oa

cos (angle) = adjacent / hypotenuse

**Make sure your calculator is in degree mode**

cos 44 = x/11

if you cross multiply, you get

11 cos 44 = x

or to solve for x you would multiply both sides by 11 and get

11 cos 44 = x

x = 7.9

3 0

3 years ago

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