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Mama L [17]
3 years ago
10

Find the value of x. ​

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

180-98=92

32+92=114

180-114

x=66°

Step-by-step explanation:

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A cylinder has a height of 16 feet and a diameter of 10 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the near
Mrac [35]

Answer:

1256 cubic feet

Step-by-step explanation:

Cylinder formula- Pi x Radius squared x The height = the volume

The radius in this problem is 5, 5 squared is 25. 25 x 16= 400. And 400 x 3.14= 1256 cubic inches.

6 0
4 years ago
(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
lana [24]

Given:

The sequence is:

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

The given sequence can be written as

\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...

The sign are alternative and the absolute value of each term can be defined by the expression \dfrac{17}{n^3}, where n is a natural number.

So, the required formula is:

a_n=(-1)^{n+1}\dfrac{17}{n^3}

Therefore, the formula for nth term in the given sequence is a_n=(-1)^{n+1}\dfrac{17}{n^3}.

8 0
3 years ago
The set of life spans of an appliance is normally distributed with a mean y = 48 months and a standard deviation or
Kamila [148]

Answer:

The set of life spans of an appliance is normally distributed with a mean µ= 48 months and a standard deviation σ= 8 months. ... Thanh finds that his grade on the test has a z-score of -2.5. ... are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Evaluate the expression when a=2 and b=20. 50a - 2b + 6 = [ ? ]​
masha68 [24]

Hey there! I'm happy to help!

Let's plug in the values for a and b.

50(2)-2(20)+6

If a number is next to the parentheses you multiply.

100-40+6

60+6

66

Have a wonderful day! :D

3 0
3 years ago
Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
nlexa [21]

Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

6 0
3 years ago
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