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Paladinen [302]
3 years ago
8

∠a = 5x – 5º. ∠ b = 3x + 13º. Solve the x then find the measure of ∠ b.

Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer: X= 4 and angle B = 26

Step-by-step explanation: 5x-5=3x+13

Subtract 3x and add 5 to both sides. Divide both sides by 2.

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Please help me! A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup
SpyIntel [72]

The cost for each serving of soup is $0.62

<u>Step-by-step explanation:</u>

Diameter =3.5 inches

Radius = 1.75 inches

Height = 5 inches

Each serving of soup = 15 cubic inches

Cost of the can = $1.99

Volume of the can = π(1.75 x 1.75) 5

= (3.14) (3.0625) 5

= 48.08 cubic inches

For 48 cubic inches of soup the cost is $1.99

For 15 cubic inches of soup the coat will be,

Cost = (15x1.99) /48

= $0.62

The cost for each serving of soup is $0.62

6 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0
3 years ago
Y = -8<br><br> Y = -2x - 12 <br><br> Solve this equation by substitution
aliina [53]

Answer:

x = - 2

Step-by-step explanation:

- 8 = - 2x - 12

- 8 + 12 = - 2x - 12 + 12

- 2x = 4

- 2x ÷ - 2 = 4 ÷ - 2

x = - 2

5 0
3 years ago
Heeeeeelp! I’m literally so behind
olchik [2.2K]

Answer:

That would be 9 my good sir ( or ma'am )

Step-by-step explanation:

basicly round the 61 so that there would not be a remainder and divide 54 by 6 you will get 9, so therefore the same case is for 540 by 60.

Have a nice day

7 0
3 years ago
Help me please I really need!!! :)
WITCHER [35]

Answer:

\huge\boxed{\sf x = 1.8}

Step-by-step explanation:

\sf 2x-1.5 = 2.1\\\\Add \ 1.5 \ to \ both \ sides\\\\2x = 2.1 + 1.5\\\\2x = 3.6\\\\Divide \ 2 \ to \ both \ sides\\\\x = 3.6 / 2\\\\x = 1.8\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
5 0
3 years ago
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