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Hoochie [10]
3 years ago
15

Find the product of : (4sinθ + 3cosθ) (4sinθ – 3cosθ)

Mathematics
1 answer:
Pie3 years ago
7 0

Step-by-step explanation:

hopefully the picture is clear and understandable.

:)

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for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac
zloy xaker [14]
Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
6 0
3 years ago
Answer pls<br> 3278+32+3213+89321+31398
goldenfox [79]

Answer:

oop

Step-by-step explanation:

127247

sorry if wrong I kept getting notifications

3 0
2 years ago
Read 2 more answers
Gideon is painting all sides of a square pyramid-shaped decoration at the top of his fence post. A net of the decoration is show
frez [133]
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2

Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2

We then add the two areas,
Total Area = 16 + 40 = 56 in^2

Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.
6 0
3 years ago
Tina found $4.75 at the bottom of her purse and added it to her wallet. She later bought milk and eggs for $6,55 and had
wariber [46]

Step-by-step explanation:

step 1. x + 4.75 - 6.55 = 5.43

step 2. looks like b is the only answer.

7 0
3 years ago
Read 2 more answers
I need some help with 22, 24, 25
valkas [14]
22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence
5 0
3 years ago
Read 2 more answers
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