All categories

3 years ago

Calculate the area

Mathematics

2 answers:

WINSTONCH [101]3 years ago

8 0

$A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}$

OLga [1]3 years ago

3 0

Answer:

$\huge \boxed{\mathrm{35.64 \ units^2 }}$

Step-by-step explanation:

The adjacent side lengths and an angle is given.

We need to find the height of the parallelogram.

A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.

We can use trigonometric functions to solve for the height.

sin θ = opp/hyp

sin 63 = h/5

Multiplying both sides by 5.

h = 5 sin 63

h ≈ 4.45503262

Area of parallelogram = base × height

A = 8 × 4.45503262

A = 35.640261

You might be interested in

What is the distance between the point (−10, −2)(−10, −2) and the point (−4, −2)(−4, −2) ?

Gnoma [55]

In this case: x 1 = - 10, y 1 = - 2;
x 2 = - 4 , y 2 = - 2
The distance between the points :
$d = \sqrt{(x 2 - x 1 ) ^{2} + ( y 2 - y 1 ) ^{2} } = \\ =\sqrt{(-4+10) ^{2} +(-2+2) ^{2} } = \\ = \sqrt{6 ^{2}+0 ^{2} } = \sqrt{36}= 6$
Answer: d = 6

4 0

3 years ago

Read 2 more answers

In a basketball game morgan made 9 baskets each worth 2 points. Jim made the same number of points in the game but made only bas

ycow [4]

baskets that jim make is 27,cause 9times3 equal 27.

3 0

3 years ago

During hibernation a garter snake's body temperature never goes below 3 C write and graph an inequality that represents this sit

Akimi4 [234]

>3c
because it never goes BELOW which is why you put the sign

3 0

3 years ago

For all values of x

Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0

3 years ago

14.603 rounded to the nearest hundred is

stira [4]

If you mean to the nearest HUNDREDTH the answer is 14.60.

3 0

3 years ago

Read 2 more answers

Calculate the area￼

Calculate the area