Can someone please help me

Please answer please

Vladimir [108]

Answer:

53.13°

Step-by-step explanation:

Using Sine rule

b / Sin B = a / Sin A

5/ Sin90 = 4 /Sin A

5/1 = 4 /SinA

Sin A = 4/5

A = arc sin(0.8)

A = 53.13010

A = 53.13 °

6 0

3 years ago

The functions g and h are given by g(x) = x + 1 and h(x) = x²

Delvig [45]

Answer:

x = - $\frac{3}{2}$ , x = 2

Step-by-step explanation:

To find h(g(x)) substitute x = g(x) into h(x) , that is

h(g(x))

= h(x + 1)

= (x + 1)²

= x² + 2x + 1

For h(g(x)) = 3x² + x - 5 , then

3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

2x² - x - 6 = 0 ← in standard form

(2x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - $\frac{3}{2}$

x - 2 = 0 ⇒ x = 2

5 0

2 years ago

Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!! I don't understand it!

katrin2010 [14]

Answer:

13.98 in²

Step-by-step explanation:

I don't understand it, either.

Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which is not an answer choice.

__

The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which is an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.

The area of a segment is given by the formula ...

A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.

Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...

A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²

Rounded to hundredths, this is ...

≈ 13.98 in²

3 0

2 years ago

8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per cus

lilavasa [31]

Answer:

<h3>2min/customer</h3>

Step-by-step explanation:

If 8 customers entered a store over the course of 16 minutes, then;

8 customers = 16 minutes.

The rate at which the customers are entering is expressed as;

Rate = Time (in minutes)/amount of customers;

Given

Time = 16 minutes

Amount of customers = 8 customers

Rate = 16min/8customers

Rate = 2min/customer

Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.

4 0

2 years ago

Pleseeeeeeeeeeeeeeee helllllpppppppppppppppppp fastttttt. urgent

Afina-wow [57]

5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.

b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.

c) To workout the area we need to divide the irregular shape into separate regular shapes. the diagram will help you! Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.

d) The diagram will show the answer!

6 0

3 years ago