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 °
Answer:
x = -
, 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 = - 
x - 2 = 0 ⇒ x = 2
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 <u>is not</u> 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 <u>is</u> 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
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.
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<em>.</em><em> </em><em>the </em><em>diagram</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>!</em><em> </em>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) <em>The</em><em> </em><em>dia</em><em>gram</em><em> </em><em>will</em><em> </em><em>show</em><em> </em><em>the</em><em> </em><em>answer</em><em>!</em>