Doubling the quantity of a number decreased by six is less than negative thirty-six

Answers

Answer 1
Answer: Here's the formula: 2a-6 < -36

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The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m, find the length of a leg

Answers

The length of the legs of this isosceles triangle is 19 meters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two equal sides and their opposite angles are also equal.

Given, The leg of the isosceles triangle is two less than three times the length of its base.

Assuming the base to be x meter,

∴ The other two legs are (3x - 2).

The perimeter of the triangle is 45 m and we know it is the sum of the lengths of all the sides.

So,  (3x - 2) + (3x - 2) + x = 45.

7x - 4 = 45.

7x = 49.

x = 7.

So, the length of the legs are (3.7 - 2) = 19 meters.

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Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

78% of 3 feet is inches.

Answers

3 feet converted to inches is 36 inches. We need to find 78% of 36 inches. To do that you need to divide 78 by 2.7 which is 28.8 inches.(30 if you round it.)

Final answer:

To find 78% of 3 feet in inches, you can convert 3 feet to inches (giving 36 inches), then find 78% of this by multiplying by 0.78. This gives us 28.08. Therefore, 78% of 3 feet is 28.08 inches.

Explanation:

To find 78% of 3 feet in inches, first convert the feet to inches. Since 1 foot equals 12 inches, 3 feet is equivalent to 36 inches. Now, to find 78% of these 36 inches, multiply 36 by 0.78 (which is the decimal equivalent of 78%). This gives us 28.08. Therefore, 78% of 3 feet is 28.08 inches.

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Evaluate the following:Options are:
-12/(5)
0
12/(5)
The integral diverges.

Answers

Answer:

The integral diverges

Step-by-step explanation:

∫₁³ 2 / (x − 2)^(8/3) dx

∫₁³ 2 (x − 2)^(-8/3) dx

There is a discontinuity in the function at x = 2.  Splitting this into two integrals:

∫₁² 2 (x − 2)^(-8/3) dx + ∫₂³ 2 (x − 2)^(-8/3) dx

(-6/5) (x − 2)^(-5/3) |₁² + (-6/5) (x − 2)^(-5/3) |₂³

How do you solve polynomial equation by factoring
2x^3 - 12x^2 = 32x - 192

Answers

2x^3 - 12x^2 = 32x - 192\n2x^3-12x^2-32x+192=0\n2(x^3-6x^2-16x+96)=0\n2(x^2(x-6)-16(x-6))=0\n2(x^2-16)(x-6)=0\n2(x-4)(x+4)(x-6)=0\nx=4 \vee x=-4 \vee x=6

     Brandon is 6 times as old as Cora. In 4 years, Brandon will be only twice as old asCora will be then. Find Brandon’s age now.

Answers

C-Cora's\ age\ now\nB-Brandon's\ age\ now\n\nB=6C\ \ \ and\ \ \ B+4=2(C+4)\n\n6C+4=2C+8\n6C-2C=8-4\n4C=4\ \ \ \Rightarrow\ \ \ C=1\ \ \ \Rightarrow\ \ \ \ B=6\cdot1=6\n\nAns.\ Brandon\ is\ now\ 6\ years.

I NEED HELP WITH THIS PLS Q1

Answers

Answer:

B. 80, -160

Step-by-step explanation:

The common ratio between these three numbers is -2.

-10 * -2 = 20

20 * - 2 = -40

-40 * -2 = 80

80 * -2 =  -160