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Radda [10]
4 years ago
15

The perimeter of an isosceles triangle is 15.6 m. Find the lengths of its sides, if: The base is 3 m bigger than a leg.

Mathematics
1 answer:
klio [65]4 years ago
5 0

So, an isosceles triangle has 2 equal sides, we will call them x.

The base can be modeled by 3+x


So, the perimeter is equal to x + 3+x + x


So

15.6 = 3x + 3

12.6 = 3x

4.2 = x

So, the lengths of the sides are 4.2, 4.2, 7.2

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All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .75,
astra-53 [7]

Answer:

5% probability neither truck is available

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the first truck is available.

B is the probability that the second truck is available.

We have that:

A = a + (A \cap B)

In which a is the probability that the first truck is available and the second one is not A \cap B is the probability that both trucks are available.

By the same logic, we have that:

B = b + (A \cap B)

The probability that both trucks are available is .30.

This means that A \cap B = 0.3

The probability the second truck is available is .50

This means that B = 0.5. So

B = b + (A \cap B)

0.5 = b + 0.3

b = 0.2

The probability the first truck is available is .75

This means that A = 0.75. So

A = a + (A \cap B)

0.75 = a + 0.3

a = 0.45

The probability that at least one truck is available is:

A \cup B = a + b + (A \cap B) = 0.45 + 0.2 + 0.3 = 0.95

The probability that neither truck is available is:

1 - (A \cup B) = 1 - 0.95 = 0.05

5% probability neither truck is available

6 0
3 years ago
How do you find the solution of an inequality using a graph?.
Oksi-84 [34.3K]

To graph an inequality, consider the < or > sign to be a = sign and graph the equation. If the inequality is < or >, draw a dotted line to represent the equation.

Graph the equation as a solid line if the inequality is ≤ or ≥, This line divides the xy-plane into two regions: one that meets the inequality and one that does not.

When inequalities are graphed on a coordinate plane, the solutions are found in a region of the plane that is shaded. If the points on the line satisfy the inequality, as in the case of and, the boundary line for the inequality is drawn as a solid line.

Linear inequalities are not the same as linear equations, but what you know about equations can help you understand inequalities. Equations and inequalities are both mathematical statements that compare two values. 

For more information on inequality, visit :

brainly.com/question/28823603

#SPJ4

6 0
1 year ago
I don't know how to find x so i need help.
77julia77 [94]
I can help but can you tell me what kind of problem your doing.
8 0
3 years ago
Please help!!!
Nonamiya [84]

Answer:

c. 2a^3x^4-3a^3x^3+a^4x^2

d. 63x^5y^3-30x^2y^4-7x^3y^2

Step-by-step explanation:

For this exercise you need to remember the following:

 1. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

3. The Distributive property:

a(b\±c)=ab\±ac

Knowing that, you can solve the multiplication of the polynomials:

c. (-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2

d. (6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2

8 0
3 years ago
The measures of two interior angles of a triangle are 108° and 54°. What is the measure of the third angle?
vivado [14]

Answer:

Answer is 18 degree as per the question

4 0
3 years ago
Read 2 more answers
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