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uranmaximum [27]
4 years ago
8

Pls solve for angle 2.

Mathematics
1 answer:
dedylja [7]4 years ago
6 0
We know that with a straight line, the resulting angle is 180.
So, knowing this:
6x+12+5x+3=180
Solve for x
11x+15=180
11x=165
x=15
Plug x back into your respective angles
Angle 1: 6(15)+12=102 degrees
Angle 2: 5(15)+3=78 degrees
Therefore angle 2 is 78 degrees.
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A submarine is only allowed to change its depth by rising toward the surface in 50 METER STAGES. it starts off at -225 meters. H
omeli [17]

Answer:

It will take 5 stages to reach the surface.

Step-by-step explanation:

-225/50=4.5 or what times 4.5 equals -225

Then the problem says to round up so 4.5 becomes 5.

5 0
3 years ago
Solve for y: - √(y) = -5
Serggg [28]
-sqrt(y) = -5

Multiply each side by (-) negative sign: sqrt(y) = 5

Square each side: y = 25

Answer: (C) 25

 


3 0
3 years ago
Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.
wolverine [178]

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve 5x^{2} + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

5x^{2} + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± \sqrt{b^2 - 4 (ac)}/ 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2±\sqrt{2^2 - 4(5 - 1)}/ 2 ⋅ 5

Simplify.

x = -2 ± 2 \sqrt{6}/ 10

x = -1 ± \sqrt{6}/ 5

Exact Form:

x = -1 ± \sqrt{6}/ 5

4 0
3 years ago
A luxury resort is offering an incentive discount. If you book your room six months in advance, you will save 15% off the price
Anna [14]

Answer:the total discounted cost for your stay is $1948.2

Step-by-step explanation:

If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be

15/100 × 382 = 0.15 × 382 = $57.3

The cost of the room for a night would be

382 - 57.3 = $324.7

Since you are staying for six nights,

the total discounted cost for your stay would be

324.7 × 6 = $1948.2

8 0
3 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
3 years ago
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