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deff fn [24]
2 years ago
8

The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is the actual distance between the cities?

Mathematics
1 answer:
AnnZ [28]2 years ago
4 0

Answer:

78 km!

Step-by-step explanation:

13 cm * 6 km per cm = 78 km in actual distance

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Dom Grady has completed 21 out of 25 passes for his football team. What percentage of his total passes has he completed? Explain
BabaBlast [244]

Answer:

84%

Step-by-step explanation:

Completed passes: 21

total: 25

fraction: 21/25

21/25 x100

= 84

He has completed 84% of passes.

7 0
3 years ago
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Simplify:<br> 2 11/12 + 5 1/2 + 3 3/8<br> Write you answer as a mixed number.
zysi [14]

Answer:

2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8} (write them out and convert them all into mixed fractions)

\frac{35}{12} + \frac{11}{2} + \frac{27}{8} (find the LCD aka least common denominator)

\frac{70}{24} + \frac{132}{24}  + \frac{81}{24} (add all numerators together)

\frac{283}{24}  (this is improper, so you need to convert back to mixed by dividing)

11\frac{19}{24} (this is your answer)

3 0
3 years ago
Please help me with these, oh sweet jesus
Lelechka [254]

Answer:

77.  \cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} xProved

78.  \sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ] Proved

79. \cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x Proved.

80. \sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x Proved.

Step-by-step explanation:

77. Left hand side

= \cot^{6} x

= \cot^{4} x \times \cot^{2} x

= \cot^{4}x [\csc^{2}x - 1]  

{Since we know, \csc^{2} x - \cot^{2}x = 1}

= \cot^{4} x \csc^{2}x - \cot^{4} x  

= Right hand side (Proved)

78. Left hand side

= \sec^{4}x \tan^{2} x

= \sec^{2} x [1 + \tan^{2}x] \tan^{2} x  

{Since \sec^{2}x - \tan^{2}x = 1}

= \sec^{2}x [\tan^{2}x + \tan^{4}x ]

= Right hand side (Proved)

79. Left hand side  

= \cos^{3} x\sin^{2} x

= \cos x[1 - \sin^{2} x] \sin^{2} x

{Since \sin^{2}x + \cos^{2} x = 1}

= [\sin^{2}x - \sin^{4}x] \cos x

= Right hand side

80. Left hand side  

= \sin^{4}x - \cos^{4}x

= [\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x

{Since \sin^{2}x + \cos^{2} x = 1}

= 1 - 2\cos^{2} x[1 - \cos^{2}x ]

= 1 - 2\cos^{2}x + 2 \cos^{4} x

= Right hand side. (Proved)

7 0
3 years ago
A bag contains 3 triangles, 4 squares, 5 pentagons, and 6 hexagons. If one shape is randomly chosen, what is the probability tha
e-lub [12.9K]

I’d say that it’s definitely random choice for the squares, pentagons, and hexagons. But, if we are looking at how common it would be between the 3 of them, then I would say that it would be one of the hexagons, because there are more hexagons than any of the other shapes in the bag.

3 0
3 years ago
Please help! Solve for g
7nadin3 [17]

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

5 0
2 years ago
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