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8_murik_8 [283]
3 years ago
7

Solving a system of linear equations algebraically:

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

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the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a
ycow [4]

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123

⇒ x = \tan ^{-1} (3.125) = 72.25 degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)

8 0
3 years ago
Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi.
Brrunno [24]
The surface area of the sphere:
A = 4 r² π 
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A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
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5 0
3 years ago
4. Miguel is helping his mom paint his home. He finished 2 rooms in ⅓ of an hour. How many rooms can he paint in 1 hour?
lilavasa [31]

Answer: 6

Step-by-step explanation:

Let's use a rule of three here.

2 rooms in 1/3 h

x rooms in 1 h

\frac{2}{x}=\frac{\frac{1}{3} }{1}

Solve for x;

x=\frac{2*1}{\frac{1}{3} }

Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.

1/3 inverted is 3/1 or 3

x=(2*1)*3

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8 0
3 years ago
Line segment MN is graphed in the first and second quadrants of a coordinate plane. The segment is translated 2 units up, then r
Ksju [112]

Answer:

Step-by-step explanation:

Since the line segment is only being translated and reflected it would still maintain its length. This is pretty much the only characteristic that would remain the same as te original line segment. It would not maintain the same x-axis positions for both endpoints of the line segment. This is because when it is translated 2 units up it is only moving on the y-axis and not the x-axis. But when it is reflected over the y-axis the endpoints flip and become the opposite values.

6 0
3 years ago
If the farmers market sold 35% of its produce and has 280 peaches remaining, how many peaches did it have?
PSYCHO15rus [73]

100-35 = 65%

280/0.65 = 430

 he had 430 peaches


3 0
3 years ago
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