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4 years ago

Anyone know the answer?

Mathematics

1 answer:

yan [13]4 years ago

7 0

Answer:

Step-by-step explanation:

The angle whose sine is 5/12 = 22.62 degrees and in Quadrant II it is

180 - 22.62 degrees

The angle whose tan is (5/12) = 22.62.

So we can write α as 180 - α and β as α.

sin (α+β) = sin ( 180 - α = α) = sin 180

= 0.

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Consider the line y=10 x -1 and the point P=(2,0). (a) Write the formula for a function d(x) that describes the distance between

LuckyWell [14K]

Answer:

the formula for a function d(x) that describes the distance is $d(x)=\sqrt{101x^{2}-24x+5}$

Step-by-step explanation:

We are going to define final point $P_{f}=(2,0)$ , and initial point $P_{i}=(x,y)=(x,10x-1)$ , then we can use $d=\sqrt{(x_{f}-x_{i})^{2}+(y_{f}-y_{i})^{2}}$ , so we obtain $d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}$ , by developing it $d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}\\d(x)=\sqrt{4-4x+x^{2}+(1-10x)^{2}}\\d(x)=\sqrt{4-4x+x^{2}+1-20x+100x^{2}}\\d(x)=\sqrt{101x^{2}-24x+5}\\$

This formula describes the distance between those two points and involves x

3 0

3 years ago

Here is a map of a town.

gtnhenbr [62]

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

$1cm = 3km$

$4cm = 3km \times 4$

$4cm = 12km$

7 0

3 years ago

Condense the following logs into a single log:

mamaluj [8]

QUESTION 1

The given logarithm is

$8\log_g(x)+5\log_g(y)$

We apply the power rule of logarithms; $n\log_a(m)=\log_(m^n)$

$=\log_g(x^8)+\log_g(y^5)$

We now apply the product rule of logarithm;

$\log_a(m)+\log_a(n)=\log_a(mn)$

$=\log_g(x^8y^5)$

QUESTION 2

The given logarithm is

$8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)$

We apply the power rule of logarithm to get;

$=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)$

We apply the product to obtain;

$=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)$

We apply the quotient rule; $\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )$

$=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})$

$=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})$

7 0

3 years ago

Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ < 0

katrin [286]

Cos(θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(θ) = 257, but csc(θ) = $\frac{1}{sin(θ)}$ = 257
==> sin(θ) = $\frac{1}{257}$
it is positive, so now we can determine that is in Quadrant 2

sin(θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(θ) < 0
cos(θ) = adj/hyp
Pythereom to find the adj: $257^{2} - 1^{2} = adj ==\ \textgreater \ adj \sqrt{ 257^{2} - 1^{2} } ==\ \textgreater \ adj = 16 \sqrt{258}$

cosθ = $\frac{16 \sqrt{258} }{257} 
$
tanθ = $\frac{1}{16 \sqrt{258} }$
cosθ = $16 \sqrt{258}$

6 0

3 years ago

A={1, 2, 3, 4, 5} e B = {2, 3, 7}, determine o conjunto A - B, ou seja, os elementos que pertencem somente a A e não a B .

Lostsunrise [7]

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

7 0

3 years ago