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xenn [34]
3 years ago
14

a model train has an engine and six boxcars. The engine is 12 cm long and each boxcar is 7 cm long. there is a 1 cm space betwee

n cars. how long is the train?
Mathematics
1 answer:
dexar [7]3 years ago
3 0
7 spaces total
7 × 1cm = 7cm

6 box cars
6 × 7cm = 42cm

1 engine
1 × 12cm = 12cm

7cm + 42cm + 12 cm = 61cm

The train is 61cm long.
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For this right triangle, what is the cosine of angle C?
ollegr [7]

Answer:

A  cos C = 12/13

Step-by-step explanation:

cos theta = adjacent side/ hypotenuse

cos C = BC/AC

But we don't know BC, but we can find it using the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +BC^2 = 13^2

25 + BC ^2 =169

Subtract 25 from each side

BC^2 = 169-25

BC ^2 = 144

Taking the square root of each side

BC =12

cos C = 12/13

3 0
3 years ago
What value of z makes the equation z+6÷13=4 true?
netineya [11]

Answer:

z = 46/13

Step-by-step explanation:

Step 1: Write equation

z + 6 ÷ 13 = 4

Step 2: Solve for <em>z</em>

  1. Rewrite: z + 6/13 = 4
  2. Subtract 6/13 on both sides; z = 46/13

Step 3: Check

<em>Plug in z to verify it's a solution.</em>

46/13 + 6/13 = 4

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4 = 4

6 0
4 years ago
Which complex number has a distance of V17 from the origin on the complex plane?
Nataly_w [17]

Answer:

4-i

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

\sqrt{a^2+b^2}

a+bi

4-i

\sqrt{4^2-i^2}

\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}

The complex number that has a distance of \sqrt{17} is 4-i.

5 0
4 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
iragen [17]

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

8 0
3 years ago
What property is (C+2+0=c+2
frosja888 [35]

Answer:

Communitive Property of Addition

Step-by-step explanation:

Example of Comunitive Property of Multiplecation:

a+b = b+a

6 0
3 years ago
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