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3 years ago

Trigonometry please help thank youuuu

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

x=6.3m

Step-by-step explanation:

Let the opposite side be y in 2nd triangle.

tan 27° = y/9

=> tan 27° X 9 = y

∴ y = 4.585m ≈ 4.59m

cos 43° = y/x

=> cos 43° = 4.59/x

=> cos 43° X x= 4.59

=> x = 4.59/cos 43°

∴ x = 6.276m ≈ 6.3m (corrected to 1 dp)

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Which of the following is not represented by the image below

love history [14]

Answer:

Line BD can't be represent by the image.

Explanation:

Point: Point is a dot or vertex of any figure or diagram. It represent by capital alphabet. So, B would be a point.

Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be line.

Ray: A ray is straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.

Line Segment: A line segement is straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.

Option 2 is correct.

6 0

3 years ago

An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago

a foreman must order enough sod to cover a dirt area 36 feet wide by 28 feet long. each piece of sod is 3 feet long and 12 inche

Andrews [41]

If we divide the area we have to cover by the area of a piece, we will get the number of pieces needed:

$n=\dfrac{\text{dirt area}}{\text{piece area}}=\dfrac{36\times 28}{3\times 12} = \dfrac{36\times 28}{36}=28$

3 0

3 years ago

Find the equivalent expression of the following: x3 (x2 + 5x + 7)

Kay [80]

The equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

x^3 (x^2 + 5x + 7)

Expand the expression

x^3 * x^2 + x^3 * 5x + x^3 * 7

Evaluate the product

x^5 + 5x^4 + 7x^3

Expand the expression

x^5 + 4x^4 + x^4 + 8x^3 - x^3

Hence, the equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

Read more about equivalent expression at:

brainly.com/question/27911936

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3 0

2 years ago

Find the volume of the pyramid

qaws [65]

Answer:

494 cubic meteres

Step-by-step explanation:

formula: lwh/3

(12 x 13 x 9 1/2) divided by 3= 4 x 13 x 19/2 = 52 x 19/2 = 26 x 19 = 494cubic metres

6 0

3 years ago