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azamat
3 years ago
11

9+3r<2+2r and -3-5r<6-4r

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

-9 < r < -7

Step-by-step explanation:

9 + 3r < 2 + 2r

r < -7

-3 - 5r < 6 - 4r

-9 <  r

r > -9

-9 < r < -7

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Find the circumference of the circle and round to the nearest tenth
VLD [36.1K]

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

d = 14.4 --- diameter

Required

Determine the circumference

The circumference is calculated as:

C =\pi d

So, we have:

C =\pi * 14.4

Take pi a 3.14

C =3.14 * 14.4

C =45.216

Approximate

C =45.2yd

4 0
3 years ago
The ratio of width to length of a rectangle is 7:10.The width of the rectangle is 91 cm.
kvasek [131]

Answer:

Length= 130 cm

For, Width= 91 cm

Step-by-step explanation:

Ratio of the width to the length of the rectangle = 7:10

Width of the rectangle= 91 cm

\frac{Width}{Length} =\frac{7}{10}

As, Width = 91 cm

\frac{91}{Length} =\frac{7}{10}

On, Cross multiplication the fraction:

91*10=7*Length

7*Length=910

Dividing by '7' both the sides:

Length=\frac{910}{7}\\\\ Length=130cm

6 0
3 years ago
3.5 m
marysya [2.9K]

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

4 0
3 years ago
K=10t−19<br> Find the output, k, when the input, t is, -7.
aalyn [17]
K= 10(-7) -19
k= -70-19
k=-89
4 0
3 years ago
Factor the quadratic expression in the equation y = 2x2 + 8x - 154 and find the zeros of the equation. Then
Tema [17]

Answer:

zeros: -11 , 7

Line of symmetry: x = -2

Step-by-step explanation:

y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)

y = 0

x = - 11 or x = 7

line of symmetry: x = 1/2 (-11 + 7) = -2

2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162

vertex (h , k): h = -2 , k = -162

Line of symmetry: x = -2

6 0
3 years ago
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