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3 years ago

If someone could answer this problem and explain how to do it that would be a HUGE help thanks-

Mathematics

2 answers:

nekit [7.7K]3 years ago

6 0

The answer is 19 inches. Hope it helps.

weeeeeb [17]3 years ago

5 0

Answer:

The answer to your question is 19 in²

Step-by-step explanation:

Data

angle = Ф = 25°

hypotenuse = 10 in

Area = ?

Process

1.- Calculate the long and short legs of this triangle using trigonometric functions.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side

Opposite side = hypotenuse x sin Ф

-Substitution

Opposite side = 10 x sin 25

-Result

Opposite side = 4.22 in = short leg (height)

cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

Adjacent side = hypotenuse x cosФ

-Substitution

Adjacent side = 10 x cos 25

-Result

Adjacent side = 9.06 in = long leg = base

2.- Calculate the area

Area = base x height / 2

-Substitution

Area = 9.06 x 4.22 / 2

-Result

Area = 19.12 in² ≈ 19 in²

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3 years ago

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devlian [24]

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3 years ago

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There are 68 calories in 1 serving of cereal. If a bowl holds 7 servings, how many calories are in the bowl?

maria [59]

Answer:

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Step-by-step explanation:

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3 years ago

Given z=f(x,y),x=x(u,v),y=y(u,v), with x(1,3)=2 and y(1,3)=2, calculate zu(1,3) in terms of some of the values given in the tabl

stich3 [128]

The value of zu(1,3) using the data elements represented on the table of values is q + p

<h3>How to solve the calculus expression?</h3>

The given parameters are:

z = f(x, y)

x = x(u, v)

y = y(u, v)

Where

x(1, 3) = 2 and y(1, 3) = 2

To calculate zu(1,3), we make use of:

$z_u(1,3) = f_x(x,y) * x_u(1,3) + f_y(x,y) * y_u(1,3)$

The values x(1, 3) = 2 and y(1, 3) = 2 mean that:

(x,y) = (2,2).

So, we have:

$z_u(1,3) = f_x(2,2) * x_u(1,3) + f_y(2,2) * y_u(1,3)$

From the table of values, we have:

$f_x(2,2) = q$

$x_u(1,3) = 1$

$f_y(2,2) = 1$

$y_u(1,3) = p$

So, the equation becomes

$z_u(1,3) = q * 1 + 1 * p$

Evaluate the product

$z_u(1,3) = q + p$

Hence, the value of zu(1,3) is q + p