2 - 3х + 5y +11+у? + 4х +9

The sum of two numbers is 76. The difference is 20. What are the two numbers

postnew [5]

X + y = 76
x - y = 20
------------add
2x = 96
x = 96/2
x = 48

x + y = 76
48 + y = 76
y = 76 - 48
y = 28

ur numbers are : 48 and 28

8 0

3 years ago

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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

Help please!!!!! Thank uuuu

alexgriva [62]

Answer:

H

Step-by-step explanation:

If it was the first two, it would be to small of an angle.

If it were the last two it would be a straight line.

35 degrees is the only possible one.

3 0

3 years ago

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Luanne made a photocopy of a drawing of a rectangle. The original drawing was 4.5 inches wide and 6 inches long. The copy was 6.

san4es73 [151]

The scale factor is:
$6,75/4,5 = 9/6 = 1,5$

So you divide the corresponding lengths and the ratio you get is the scale factor. Hope it helps!

8 0

3 years ago

Item 11 Identify the independent and dependent variables. The equation c=0.09s gives the amount c (in dollars) of commission a s

diamong [38]

Answer:

C is dependent variable

S is independent variable

Step-by-step explanation:

Here, give the equation, we are told to identify the independent and the dependent variable

When we talk of the independent variable, it is that variable which values does not depend on whatever values the second variable in the equation has. It is that variable that is used to find the other variable in the equation

While the dependent variable depends on the values we input in the equation. It is the variable that we arrive at after plugging different values for the independent variable

now looking at the question, the equation we have is as follows;

c = 0.09s

To get the value of c which is the cost , we have to input different values of a. As is the amount in sales that we have that will yield the value of the commission to be received

Thus, we can categorically say that the values of the commission are dependent on the values we get from the sales

Hence, while commission represents the dependent variable, the values of the sales are the independent variables

6 0

3 years ago