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strojnjashka [21]
3 years ago
8

Triangle pqr is a right triangle. what is the best approximation of the length of segment pq? (Note:tan76°)

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

PQ = 16.04cm

Step-by-step explanation:

θ = 76°

QR = 4cm

PQ = ?

Since it's a right angle triangle,

QR = adjacent

PQ = opposite

Tanθ = opposite/adjacent

Tan76 = pq / 4

PQ = 4tan76

PQ = 4 * 4.010

PQ = 16.04cm

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The probability that Hank Aaron hits a home run on any given at-bat is 0.14, and
Liula [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
Fas
Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

  • Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
  • Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

f(x) = x^3

This function is changed to the function,

g(x) = 2f(x -3),

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

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5 0
2 years ago
9. Alicia Martin's savings account has a principle of $1,200. It earns 6% interest compounded quartly
zavuch27 [327]

Answer:

9) \$1236.27\,10)\,\$6451.07\, 11)\,\$10,152.87 \,12)\,\$907.95 \,13)\,\$4957.69

Step-by-step explanation:

9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:

A=P(1+\frac{r}{n})^{nt} ⇒ Amount (A), Principle (P), rate (r) in decimal form, number of compoundings (n) a year and t, in year or its fractions.

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=1200(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A=\$1236.27

10) Aubrey Daniel's case:

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=5725(1+\frac{0.04}{4})^{4*3}\Rightarrow A\approx \$6451.07

11) As for Angelo, similarly to Alicia.

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=9855(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$10,152.87

12) Simpson's. For semiannual n=2

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=860(1+\frac{0.055}{2})^{2*1}\Rightarrow A\approx \$907.95

13) Jana Lacey amount:

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=4860(1+\frac{0.04}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$4957.69

6 0
3 years ago
What are the fourth roots of -3+3√3i?
barxatty [35]

Answer:

Set  

−

3

+

3

√

3

i

equal to  

0

.

−

3

+

3

√

3

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=

0

Since  

−

3

+

3

√

3

i

≠

0

, there are no solutions.

Step-by-step explanation:

3 0
3 years ago
Christopher plays quarterback for a
jeka94

Answer:

70%

Step-by-step explanation:

42\div60

<u><em>Calculate</em></u>

<u><em /></u>\frac{42}{60}

<u><em>Cross out the common factor</em></u>

<u><em /></u>\frac{7}{10}

<u><em>Multiply a number to both the numerator and the denominator</em></u>

<u><em /></u>\frac{7}{10}\times\frac{10}{10}

<u><em>Write as a single fraction</em></u>

<u><em /></u>\frac{7\times10}{10\times10}

<u><em>Calculate the product or quotient</em></u>

<u><em /></u>\frac{70}{10\times10}

<u><em>Calculate the product or quotient</em></u>

<u><em /></u>\frac{70}{100}

<u><em>Rewrite a fraction with denominator equals 100 to a percentage</em></u>

<u><em /></u>70%

<em>I hope this helps you</em>

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