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4 years ago

ILL GIVE YOU BRAINLIEST!! Which is the area of this parallelogram?

Mathematics

2 answers:

irina [24]4 years ago

6 0

D: 28. This is because you find the areas of a parallelogram by multiplying base by height.

horsena [70]4 years ago

5 0

Answer:

Step-by-step explanation:

A =bh= 7 · 4 =28

plz mark brainliest

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The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers

Wilbur runs 3.2 km every morning how many feet are in 3.2 km given that 1 mile = 1.609 km and 1 mile = 5,280

Nonamiya [84]

1.609/5280 = 3.2/x....1.609 km to 5380 ft = 3.2 km to x ft
cross multiply because this is a proportion
(1.609)(x) = (5280)(3.2)
1.609x = 16896
x = 16896/1.609
x = 10,500 ft <===

5 0

4 years ago

Read 2 more answers

Help for brainliest

Flauer [41]

Your answer is B. -125 4/27

3 0

3 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The

nydimaria [60]

Answer:

30.7 ft ladder length

Step-by-step explanation:

The ladder makes the hypotenuse of a right triangle

31 feet is the opposite leg of 78 degree angle

sin 78 = opposite / hypotenuse

sin 78 = 30/ hypot

30 / (sin 78 ) = hypotenuse = 30.7 ft

7 0

2 years ago

If f(x)=3x +10 and g(x)= 2x-4 fjnd (f-g)(x)

lina2011 [118]

The value of (f-g)(x) is x + 14.

<h3>What is Function?</h3>

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, given function;

f(x) = 3x + 10 and g(x) = 2x - 4

Now,

(f - g)(x) = f(x) - g(x)

= (3x + 10) - (2x - 4)

= 3x + 10 - 2x + 4

= (3x - 2x) + (10 + 4)

(f - g)(x) = x + 14

Thus, the value of (f-g)(x) is x + 14.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

7 0

2 years ago