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3 years ago

Find the area of triangle ABC. 61.73* 6.82 5.04 45.03

Mathematics

1 answer:

Alenkasestr [34]3 years ago

6 0

Answer:

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = $\frac{1}{2}$ ac sinB

with a = 5.04, c = 6.82 and B = 61.73° ← substitute values

A = 0.5 × 5.04 × 6.82 × sin61.73°

= 15.14 units² ( to 2 dec. places )

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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

4 0

3 years ago

The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of

liubo4ka [24]

Answer: No

Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.

4 0

3 years ago

A rectangle has an area of 8x2 - 2x - 45. The length of the

Savatey [412]

Answer:

$Width = W = 2x-5$

Step-by-step explanation:

Given Data:

Length of rectangle = L = $4x + 9$ ------->(Equation 1)

Area of rectangle = A = $8x^{2} - 2x -45$ square inches ------->(Equation 2)

To find out:

Width of rectangle = W = ?

Formula:

Area = A = L×W

$Width = W = \frac{A}{L}$

Solution:

$Width = W = \frac{A}{L}$

$Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}$

For complete division check the attached image.

$Width = W = 2x-5$ inches

5 0

3 years ago

Need help on range and domain

SashulF [63]

Answer:

domain is your x value, and range is your y value.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

8x(40+7)=(8x )+(8x7 what is the missing number

Hitman42 [59]

Well since the first expression says 8x(40+7) the answer would be 40 that is missing

Since your splitting 47 into 40 and 7 and multiplying both of them by 8 the answer would be 40

6 0

2 years ago