All categories

3 years ago

Can help me complete this problem please :,c

Mathematics

2 answers:

il63 [147K]3 years ago

8 0

<h2>Answer:</h2>

<u>The area would be</u><u> 1728 km²</u>

<h2>Step-by-step explanation:</h2>

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the center of the circle.

So in the given diagram, by putting the values in ½ r² ∅ we get

Area = ½ 8² x 54

Area = 1728 km²

GalinKa [24]3 years ago

6 0

Answer:

= 30.144 km²

Step-by-step explanation:

Area of a sector is given by the formula;

θ/360 × πr², where θ is the angle subtended by the arc to the center of the circle, and r is the radius.

Area = 54/360 × 3.14 × 8 × 8

= 30.144 km²

You might be interested in

A street has parallel curbs 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The lengt

andreev551 [17]

Answer:

The distance, in feet, between the strip = 12 feet.

Step-by-step explanation:

From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where

CD/AB = CE/AE

CD = 40

CE = 50

AE = 15

Let AB = x

50x = 15 × 40

X = 12

The distance, in feet, between the strip is therefore 12 feet

6 0

3 years ago

Find the value of x and then the measure of each angle. You should have 3 answers.

Softa [21]

Answer:

x = 7

3x + 11 = 32

8x + 2 = 58

Step-by-step explanation:

3x + 11 + 8x + 2 = 90

11x + 13 = 90

11x = 77

x = 7

3x + 11 = 3(7) + 11 = 32

8x + 2 = 8(7) + 2 = 58

5 0

3 years ago

In triangle abc angle a +angle b =90 then sin a =

Ivan

Answer:

$sin(a)=cos(b)$

Step-by-step explanation:

we know that

In the triangle abc

if $m\angle a+m\angle b=90^o$

then

$m\angle c=90^o$

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

$sin(a)=\frac{x}{z}$

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

$cos(b)=\frac{x}{z}$

therefore

$sin(a)=cos(b)$

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

$sin(a)=cos(b)$

$cos(a)=sin(b)$

8 0

3 years ago

How many integers between 199 and 599 are multiple of 3

Reptile [31]

A.P. series would be: 201, 204, 207 .... 597
Here, a = 201, d = 3, l = 597

Now, l = a + (n - 1) d
597 = 201 + (n - 1)3
597 - 201 = 3n - 3
396 + 3 = 3n
n = 399/3
n = 133

In short, Your Answer would be 133

Hope this helps!

8 0

3 years ago

Read 2 more answers

The fact that the polynomial (3x^2+4x+5)+(2x+6) Fields a polynomial employs what property?

EleoNora [17]

Answer:

The fact that the polynomial (3x2+4x+5) + (2x+6) yields a poloynomial, employs what property?

Step-by-step explanation:

3 0

3 years ago