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lbvjy [14]
2 years ago
8

The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the

Mathematics
1 answer:
Reptile [31]2 years ago
4 0

<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

<h2>PQ = 2B = 42</h2><h2>QR = 2B = 42</h2>

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A company administers an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests tha
RoseWind [281]

Answer:

0.94

Step-by-step explanation:

The question after this basically is:

<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>

<em />

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

5 0
2 years ago
Three pounds of squid can be purchased at the market for $18. Determine the equation and represent the function that defines the
olga_2 [115]
From the information given,

3 pounds = $18

Therefore, 1 pound = 18/3 = $6 (this can be treated as a constant of proportionality) such that,

Cost,C = 6*Weight, W (pounds)

Equation;

C = 6W, where C = Cost in $, and W = Weight in pounds.
7 0
2 years ago
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
zvonat [6]

Answer:

x=-2.38

x=-4.62


Step-by-step explanation:

The question is  (2x+3)^2+8(2x+3)+11=0

<em>We let u=2x+3, so the equation becomes:</em>

u^2+8u+11=0

Where a=1, b=8, c=11


Putting it in the quadratic formula, we have:

<u>Quadratic formula:</u> \frac{-b+-\sqrt{b^2-4ac} }{2a}

Substituting we have: \frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }


<em>We let u=2x+3, so x is:</em>

<em>u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38</em>

<em>and</em>

<em>u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62</em>


The solutions of the equation is x=-2.38 (rounded to 2 decimal places), and x=-4.62 (rounded to 2 decimal places)

6 0
2 years ago
What expression is equivalent to (5z^2+3z+2)^2
nikdorinn [45]
Please see picture attached.

7 0
2 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
2 years ago
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