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antiseptic1488 [7]
3 years ago
6

Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is

8
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0
13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
x=3
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Can anyone help with the answers to all these questions with an explanation please?
saveliy_v [14]

ANSWER:

1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07  mm

EXPLANATION:

<em>1. Know that the circumference formula for a full circle is:</em>

C = 2\pi r

The value of pi (\pi) = 3.14

The radius (r) will be given in the diagrams.

<em>2. Now we can figure out the perimeters. </em>

<u>Shape One: Semi-circle</u>

C = 2 x 3.14 x 5

C = 31.4 cm

Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).

P = \frac{31.4}{2} +10

P = 25.7 cm ≈ 25.70 cm

<u>Shape Two: Semi-circle</u>

C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)

C = 37.68 cm

Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).

P = \frac{37.68}{2}+12

P = 30.84 cm

<u>Shape Three: Quadrant</u>

C = 2 x 3.14 x 3

C = 18.84 km

Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).

P = \frac{18.84}{4} +6

P = 10.71 km

<u>Shape Four: Quadrant</u>

C = 2 x 3.14 x 0.3

C = 1.884 km

Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).

P = \frac{1.884}{4} + 0.6

P = 1.071 km ≈ 1.07 km

<u>Shape Five</u>

C = 2 x 3.14 x 1

C = 6.28 cm

For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:

C =  6.28 - \frac{6.28}{4}

C = 6.28 - 1.57

C = 4.71 cm

Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.

P = 4.71 + 2

P = 6.71 cm

<u>Shape Six</u>

C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)

C = 9.42 cm

Do the same thing you did for Shape 5.

C = 9.42 - \frac{9.42}{4}

C = 7.065 mm

Then add the flat sides (1.5 + 1.5 = 3) to this circumference.

P = 7.065 + 3

P = 10.065 mm ≈ 10.07 mm

7 0
3 years ago
What is the solution to the trigonometric inequality 2sin(x)+3&gt;sin^2(x) over the interval 0&lt;=x&lt;=2pi radians?
densk [106]

Answer:

A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.

Find Limit of f (x) as x approaches 2 f(x), if it exists.

2

0.3

0

DNE

Step-by-step explanation:

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ivann1987 [24]

Answer:

Expand the polynomial using the FOIL method.

x2-5x+6

Step-by-step explanation:

happy to help.

4 0
3 years ago
12 multiplied by 9-7i
kherson [118]

Answer:

108 - 84i

Step-by-step explanation:

12( 9-7i)

Distribute

12*9 - 12*7i

108 - 84i

6 0
3 years ago
Read 2 more answers
Use the diagram to solve for x.
Andreyy89
0 this is what I got
3 0
3 years ago
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