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3 years ago

Solve for x, given a=117. Round your answer to one decimal place.

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

x = 63

Step-by-step explanation:

We can find the value of x by multiplying the difference of large arc to small arc with 1/2

if a = 117° then the large arc would be 243

1/2 × (243 - 117) = 63

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What does x equal? Please help

Norma-Jean [14]

Answer:

x=-9

Step-by-step explanation:

$9^{2x-3}=27^{2x+4}\\(3^2)^{2x-3}=(3^3)^{2x+4}\\3^{2(2x-3)}=3^{3(2x+4)}\\3^{4x-6}=3^{6x+12}$

As the bases(3) are same,

we can conclude that the powers are equal.

Hence,

$4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9$

8 0

3 years ago

Explain how an estimate helps you place the decimal point when multiplying 3.9 × 5.3

4vir4ik [10]

An estimate helps you place the decimal point when multiplying because if you find out how many decimals there are and once you are done doing you estimated multiplication you put two decimal points after that.

Hope I helped some what and didn't make you confused.

4 0

3 years ago

Please help!

Tcecarenko [31]

1. -1/3 - (-1/2) = .16666666666666

2. -8

Hope it helps, if you need it in fractions, you can always convert it :)

8 0

3 years ago

Read 2 more answers

Please answer fast The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5),

hammer [34]

Answer:

See below ~

Step-by-step explanation:

Drawing the rectangle (Refer attachment)

Horizontal sides

There are two x-values present : 1 and 6
Find the difference
6 - 1 = 5
The horizontal sides of the rectangle are 5 units long

Vertical sides

Two y-values are present : 4 and 5
Find the difference
5 - 4 = 1
The vertical sides of the rectangle are 1 unit long

Perimeter

2(Horizontal side + Vertical side)
2(5 + 1)
2(6)
12
The perimeter of the rectangle is 12 units

3 0

2 years ago

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati

just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 330, \sigma = 12$