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3 years ago

Triangle PQR is a right triangle. if PQ= 8 , what is PR?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

5 0

It is 30-60-90 triangle, so:

$PR=\dfrac{PQ\cdot\sqrt{3}}{2}=\dfrac{8\cdot\sqrt{3}}{2}=\boxed{4\sqrt{3}}$

Answer B.

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What is the measure of abc in the figure below?

rusak2 [61]

We need to see the figure to answer the question

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3 years ago

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A Basketball Tournament starts with 128 Teams.in each round half of the teams are eliminated How Many teams remain after 5 round

Brrunno [24]

Total number of team in starting = 128 teams.

In each round half of the teams are eliminated.

Therefore, number of teams remain after first round = 128/2 = 64.

The number of teams remain after second round = 64/2 = 32.

The number of teams remain after third round = 32/2 = 16.

The number of teams remain after fourth round = 16/2 = 8.

The number of teams remain after fifth round = 8/2 = 4.

<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>

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3 years ago

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Can you explain it and help me out please

shusha [124]

Answer:

D. two real solutions

Step-by-step explanation:

p²+5 = 6p

p² - 6p +5 =0

D = b² - 4ac = (-6)² - 4*(1)*5 = 36 - 20 = 16

D > 0, so this equation has 2 real solutions

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3 years ago

Use factoring to write an expression that is equivalent to 25b^16-64c^2

avanturin [10]

We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)

To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c

Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)

4 0

3 years ago

david quiere saber cuanto requiere invertir mensualmente para obtener $30,760.08 durante 6 meses si los invierte con el 12% capi

Akimi4 [234]

Answer:

A = $32,652.44

Step-by-step explanation:

Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5

To find: How much David needs to invest monthly

Formula: $A = P(1 + r/n)^n^t$

Solution: To find, simply add principal + interest

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 30,760.08(1 + 0.12/12)(12)(0.5)

A = 30,760.08(1 + 0.01)(6)

A = $32,652.44

Therefore;

The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.

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3 years ago