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3 years ago

Measuring by using Trigonometry

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Answer:

x approximately = 11.971, y approximately = 0.837

Step-by-step explanation:

the 12 ft is the hypotenuse of the right angle triangle formed

Cos (theta) = adjacent/hypotenuse

so Cos(4) = x/12, solving for x = 11.971

Sin(theta) = opposite/hypotenuse

so Sin(4) = y/12, solving for y = 0.837

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What is -3(2x-3)=-15

Oksanka [162]

Answer:

Step-by-step explanation:

-3(2x-3)

-3x(-6)

-3x-6=18 because the negatives cancel each other out.

7 0

4 years ago

Read 2 more answers

Rectangle ABCD has vertices A(–6, –2), B(–3, –2),

Tatiana [17]

Answer:

A. T–4, 3(x, y)

Step-by-step explanation:

We are given that the transformation changes the rectangle ABCD to the rectangle A'B'C'D'.

The changes in the co-ordinates are given by,

A = (-6,-2) = (-6,-2) + (-4,3) = (-10,1)

B = (-3,-2) = (-3,-2) + (-4,3) = (-7,-1)

C = (-3,-6) = (-3,-6) + (-4,3) = (-7,-3)

D = (-6,-6) = (-6,-6) + (-4,3) = (-10,-3)

So, we see that the rectangle ABCD is transformed by the co-ordinates (-4,3).

That is, it is translated 4 units to the left and 3 units upwards.

Thus, option A is correct.

3 0

4 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

Use the formula r=log^10L, where r is the measurement of the Richter scale and l is the intensity, to find the Richter scale mea

Alborosie

Answer:

9.264817823

Step-by-step explanation:

If you use your calculator, press the log function button. Then type this (10 x 184,000,000). It will now give you your final answer.

7 0

2 years ago

Write the function for the following chart,

timurjin [86]

Dy/dx=1/2, 1/2, 1/2 etc

So this is a linear equation of the form y=mx+b where m=dy/dx=1/2 so

y=x/2 +b, now we can use any point to solve for the y-intercept, "b", I'll use (7,0)

0=7/2 +b

b=-7/2 so

y=x/2-7/2

y=(x-7)/2

7 0

3 years ago