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s344n2d4d5 [400]

4 years ago

9

Fifteen more than twice the hours Carla worked last week is the same as three times the hours she worked this week decreased by

15.She worked the same number of hours each week.How many hours did she work each week

1 answer:

Afina-wow [57]4 years ago

8 0

If you break get your teacher to break it down in a way that you will understand I only say that because I can’t answer this question

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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m

Flauer [41]

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter: p = (51+37+20):2 = 54 m

Area of triangle:

$A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2$

Rate: ₹ 3 per m².

Cost: ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm ⇒ 2b = 6 cm ⇒ b = 3 cm

p = 11:2 = 5.5

$A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2$

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

$A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2$

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm ⇒ 8x = 32 cm ⇒ x = 4 cm ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

$A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2$

8 0

3 years ago

4 sailboats to 12 motorboats

lukranit [14]

Answer:

4:12

Step-by-step explanation:

I think you asked for a ratio?

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3 years ago

The distance DA between earth and the sun is 93,000,000 miles, the distance DE between earth and the moon is 240,000 miles, and

Rudiy27

Answer:

Hi

Step-by-step explaidknation:

6 0

3 years ago

Select from the drop-down menus to correctly identify whether the given operation is closed or not closed with respect to each s

Tatiana [17]

Answer:

Real numbers are "closed" under multiplication

Irrational numbers are "not closed" under division

Integers are "closed" under subtraction

Positive ration numbers are "closed"

Hope this helps! :)

6 0

3 years ago

If dan has $3.75 and he spends 1/3 of it how much does he have left

olga_2 [115]

3.75 divided by 3= 1.25
3.75-1.25= 2.50

3 0

3 years ago

Read 2 more answers