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2 years ago

Select one of the factors of the quadratic expression.

Mathematics

1 answer:

masha68 [24]2 years ago

7 0

Answer:

A) (x + 2)

Step-by-step explanation:

x^2 + 5x + 6

=(x +3)(x +2)

so (x+3) and (x+2) are the factors

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A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r

pochemuha

Answer:

$15360\,\,rupees$

Step-by-step explanation:

Let sides of the triangle be $a,b,c$

$a=40\,,\,b=24\,,\,c=32$

Semi-perimeter (s) = $\frac{a+b+c}{2}$

$=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48$

Area of one tile $=\sqrt{s(s-a)(s-b)(s-c)}$

$=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2$

So,

Area of 20 tiles $=20(384)=7680\,\,cm^2$

Cost of polishing the floor at the rate of 2 rupees per sq.cm = $7680(2)=15360\,\,rupees$

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2 years ago

PLEASE HELP ME 16 POINTS PLEASE HELP

lorasvet [3.4K]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Given m||n, find the value of x.<br> +<br> 104<br> Answer:

bearhunter [10]

Answer:

x = 104° because they are alternate interior angles and alternate interior angles are equal

Step-by-step explanation:

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2 years ago

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A portion of a roller coaster track is shown in the figure above. the roller coaster track is shown at ground level at point S a

eimsori [14]

Answer:

Step-by-step explanation:

This is classic right triangle trig. The height of the hill is 78.4 which serves as the side opposite the reference angle of 23 degrees. The side we are looking for is the hypotenuse of that triangle. The trig ratio that relates the side opposite a reference angle to the hypotenuse of the right triangle is the sin ratio. Setting it up using our values:

$sin(23)=\frac{78.4}{x}$ , where x is the unknown length of the hypotenuse. Solving for x:

$x=\frac{78.4}{sin(23)}$

Make sure your calculator is in degree mode before entering this in. You will get a length of the hypotenuse as 200.649 feet, so choice A.

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3 years ago

Michael reads 12 pages of a book in 18 minutes. If he reads at the same rate, how many pages will he read in 37 minutes?

Irina-Kira [14]

Answer:

Around 25 pages / 1.5 minute(s)

Step-by-step explanation:

18 / 12 = 1.5 minutes per paper.

So, 18 + 18 = 36 + 1 = 37 minutes

12 + 12 = 24 + 1 = 25

37 / 25 = 1.5

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3 years ago