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3 years ago

What is the value of x

Mathematics

1 answer:

taurus [48]3 years ago

7 0

B. 30 degrees

All of the sides should add up to 180 because it is a triangle, so 100 + 50 = 150. 180 - 150 = 30

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What is the domain of the square root function graphed below?

Fed [463]

Where is the graph show the graph

7 0

3 years ago

Please help very urgent

Alik [6]

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

3 years ago

Read 2 more answers

Mrs. Nelson has a rectangular flower box that is 5 feet long and 2 feet tall she wants the width of the box to be no more than 5

Marina CMI [18]

I believe the possible volumes are 5 ft long, 4 ft wide and 2 ft deep
5 ft long, 3 ft wide and 2 ft deep
5 ft long 2 ft wide and 2 ft deep
5 ft long, 1 ft wide and 2 ft deep

3 0

3 years ago

Read 2 more answers

In the linear equation: 8x - 2y = 16, the slope of this line is

mr_godi [17]

Answer:

x - y = 1

Step-by-step explanation:

by divided by two on both sides then dividing by 8 on both sides and we are left with x - y = 1

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3 years ago

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Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric tha

liq [111]

Answer:

The correct answer is fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

Step-by-step explanation:

Jimmy's costume requires ⅞ + ½ + 1 $\frac{3}{4}$ yards of fabric = $\frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8}$ yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× ( $\frac{21}{24} + \frac{12}{24} + \frac{40}{24}$ ) yards of what Jimmy needs = $\frac{73}{8}$ yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

7 0

4 years ago