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rjkz [21]
3 years ago
9

How many solutions?

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
First of first we are going to solve the term inside the parenthesis in the right side of the equation .

30 + 6p = 7 ( p+6 ) - 5
30 + 6p = 7p + 42 - 5

Then , isolate the terms with variable to the left side of the equation and the constants to the right side of the equation .

30 + 6p = 7p + 42 - 5
6p - 7p = 42 - 5 - 30


- Combine the terms and solve for the variable p.

6p - 7p = 42 - 5 - 30
- 1p = 7
- 1p = 7

P = - 7

Therefore , the value of the variable p is - 7
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Can someone explain or help me out
Akimi4 [234]

Answer:

The bird has to fly 7.5 m

Step-by-step explanation:

Please see diagram in attached image.

Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;

1) one acute angle (15^o), and

2) the side opposite to that angle.

What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".

The trig function that relates such triangle elements is the tangent:

tan(\theta)=\frac{opposite}{adjacent} \\tan(15^o)=\frac{2\,m}{x} \\x=\frac{2\,m}{tan(15^o)} \\x=7.46 \,\,m

which rounded to the nearest tenth is: 7.5 m

8 0
4 years ago
1. Find the volume of a cone with a diameter of 14 cm and a height of 25 cm.
slega [8]

Answer:

V≈1282.82

Step-by-step explanation:

V=πr^2h

3=π·72·25

3≈1282.817

8 0
3 years ago
19. The bases of a trapezoid are 8 and 22 and the trapezoid's area is 135. Find the height
julia-pushkina [17]

Answer: 9

Step-by-step explanation:

A=(a+b)/2 *h

135= 30/2* h

135= 15 * h

135/15= h

9=h

8 0
3 years ago
Read 2 more answers
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes? *
olya-2409 [2.1K]
The answer is B (4,800)

Why?

Because we divide 3,500 feet by 5 and that will give us 600. Why we had to divide is because we need to find how many feet in minutes. So we do 600 times 8 and that gives us 4,800. Please mark me as branlist! Hope this helped! :)
6 0
4 years ago
Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabb
Setler [38]
10*10= 100

if 100 equals 1 side, then x = 4 sides


since there are 4 sides on a square you multiply 100 by 4


your answer is 400 units²



Hope this helps!!!


please rate, thank, and mark as brainliest!!!! :)
8 0
4 years ago
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