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2 years ago

Help please:)need asap

Mathematics

2 answers:

JulijaS [17]2 years ago

8 0

The predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75 degree fahrenheit.

<h3>Functions and values</h3>

Given the equation that expresses the temperature, in degrees fahrenheit, in London during a day in august as;

t(x) = 9sin(0.4x - 4) + 74,

where;

x is the number of hours after midnight.

If the time is 9pm after midnight, the total number of hours will be 21 hours

Substitute x = 21 into the function to have;

t(21) = 9sin(0.4(21) - 4) + 74

t(21) = 9sin(4.4) +74
t(21) = 9(0.0767)+74

t(21) = 74.69 degree fahrenheit,

Hence the predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75 degree fahrenheit.

Learn more on functions here: brainly.com/question/25638609

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gogolik [260]2 years ago

7 0

The predicted temperature is 75° Fahrenheit

<h3>What is trigonometric functions?</h3>

Trigonometric functions show the relationship between the sides and angles of a triangle.

Analysis:

t(x) = 9sin(0.4x - 4) + 74

since it is 9pm, which is 21 hours from 12 midnight, x = 21

t(21) = 9 sin( 0.4 x 21 - 4) + 74 = 75° Fahrenheit

In conclusion, the predicted temperature at 9pm is 75° Fahrenheit

Learn more about trigonometric functions: brainly.com/question/24349828

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If y varies directly as x and y = 42 when x = 6, find the equation that gives the relationship between x and y.

Troyanec [42]

Answer:

Step-by-step explanation:

since K is constant ( the same for every point) we can find k when given any point by dividing the y-coordinate by the x-coordinate.

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3 years ago

ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?

marysya [2.9K]

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

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3 years ago

Find the value of x?

galben [10]

X=4.1

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3 years ago

getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.

blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies. Half of celias candies is equal to 2/3 of emmas candies.

They had a total of 105 candies altogether.

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

$\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}$

Hence, candies with celias and emmas is 60 and 45 respectively.

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3 years ago

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beks73 [17]

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3 years ago