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Darina [25.2K]
2 years ago
12

Help me with this question please

Mathematics
1 answer:
Rom4ik [11]2 years ago
5 0

Answer:

A

Step-by-step explanation:

5 is the hypotenuse, 3  is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.

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Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She
ivann1987 [24]

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

7 0
2 years ago
Combine like terms to simplify.<br><br> 5z + 3z - 1/2y+ 2y
Rashid [163]

Answer:

8z-2.5y

Step-by-step explanation:

5+3=8

1/2+ 2= 2.5

7 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
Maurinko [17]

Answer:

y=-4/5 x + 7

Step-by-step explanation:

Subtract 8 x by 8 x. Do not put 8 x under 10 y or 70.

Then divide 10 by all of the terms.

Then you have: y= 7  - 8/10 x

But then you have to flip 7 and - 8/10 x

And get y= -8/10 x + 7

Simplified is y= 4/5 x + 7

REMEMBER: y=m x + b

M= Slope

B= y-intercept

6 0
3 years ago
X² – 4x – 12=0 <br> solve by completing the square
Juliette [100K]

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

4 0
3 years ago
A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
butalik [34]

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

V = \pi r^{2} h

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal (V_{m}) can be found by subtracting the internal volume (V_{i}) from the external volume (V_{e}):

V_{m} = V_{e} - V_{i}

V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h    

The external radius is given by the sum of the internal radius with the tickness:

r_{e} = t + r_{i}

Hence, the volume is:

V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3}

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

4 0
3 years ago
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