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KIM [24]
3 years ago
8

The measure of two complementary angles are (4x + 3)° and (x + 4)°. What is the measure of the larger angle?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

69.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees so we have the equation:

4x + 3 + x + 4 = 90

5x + 7 = 90

5x = 83

x = 16.6

The larger angle = 4x + 3

= 4(16.6) + 3

= 69.4 degrees (answer).

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Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could r
8090 [49]

Options :

Negative 2 and one-third meters

Negative three-fourths meters

Negative one-fourth meters

Negative 1 and

StartFraction 5 Over 6 EndFraction meters

Answer: Negative three-fourths meters

Step-by-step explanation:

Given the following :

Depth Location of Emerald :

Between - 1/2 and - 1 2/3

The answer will be the option which lies between the two depth points.

-1/2 = - 0.5 ( upper bound)

-1 2/3 = - 1.667 ( lower bound)

The option which lies inbetween :

- 1.667 and - 0.5

Taking each option :

Negative 2 and one-third meters = - 2 1/3 = - 2.33

Negative three-fourths meters = - 3/4 = - 0.75

Negative one-fourth meters = - 1/4 = - 0.25

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3 years ago
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What is the value of a in the equation 3a + b = 54, when b = 9?
lions [1.4K]
3a + b = 54
Substitute b for 9
3a + 9 = 54
Subtract 9 to both sides
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Divide 3 to both sides
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3 years ago
Stuck on this question
sashaice [31]

Answer:

9262

Step-by-step explanation:

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3 years ago
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviati
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Answer: the probability the mean weight will exceed 2.1 ounces is 0.09

Step-by-step explanation:

Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 2

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the probability that the mean weight will exceed 2.1 ounces is expressed as

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For x = 2.1

z = (2.1 - 2)/(0.3/√16) = 1.33

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4 years ago
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