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3 years ago

Find the value of x.

Mathematics

1 answer:

juin [17]3 years ago

5 0

These two angles add up to 180 degrees, so:

(5x) + (x + 24) = 180

6x + 24 = 180

6x = 156

x = 26

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The volume v of a cylinder is computed using the values 2.2 m for diameter and 6.8 m for height. use the linear approximation to

geniusboy [140]

A linear approximation to the error in volume can be written as

... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h

For V=(π/4)·d²·h, this is

... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h

Using ∆d = 0.05d and ∆h = 0.05h, this becomes

... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V

The nominal volume is

... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³

Then the maximum error in volume is

... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³

_____

Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.

4 0

3 years ago

You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $13.65. For Account B, th

Rama09 [41]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

For account A, the simple interest earned after 21 months is $13.65. The interest rate is 3.9% for Account A

Let y represent the principal for account B. Therefore

P = x

I = $13.65

T = 21/12 = 1.75 years

R = 3.9

Therefore

13.65 = (x × 3.9 × 1.75)/100

1365 = 6.825x

x = 1365/6.825 = $200

For account B, the simple interest earned after 30 months is $40.25. The interest rate is 2.3% for Account B

Let x represent the principal for account A. Therefore

P = y

I = $40.25

T = 30/12 = 2.5 years

R = 2.3

Therefore

40.25 = (y × 2.3 × 2.5)/100

4025 = 5.75y

y = 4025/5.75 = $700

The principal for account A is $200

The principal for account B is $700

For account A, interest earned in the first month is

13.65/21 = $0.65

For account B, interest earned in the first month is

40.25/30= $1.34

Account B earned the most interest in the first month(the same interest is earned every month)

3 0

4 years ago

Add. Show Your Work.

PIT_PIT [208]

Hey there :)

$1 \frac{4}{5} + 1\frac{6}{10}$

Change mixed fraction into an improper fraction
$\frac{9}{5} + \frac{16}{10}$
$\frac{16}{10}$ : are both even numbers, so you can further simplify by dividing by 2
$\frac{16/2}{10/2} = \frac{8}{5}$

To add fractions, we need same denominator to proceed. Here we have no problem since both denominators are 5

$\frac{9}{5}+ \frac{8}{5} = \frac{9+8}{5}$
$\frac{17}{5}$

As a mixed fraction: $3 \frac{2}{5}$
______________________________________________________

$2 \frac{3}{4} - 1\frac{2}{8}$

Let us change the mixed fraction into an improper fraction:
$\frac{11}{4} - \frac{10}{8}$
$\frac{10}{8}$ : You can further simplify this since both are divisible by 2
$\frac{10/2}{8/2} = \frac{5}{4}$

We have the same denominator set for subtraction, so you do not have to find common denominators
$\frac{11}{4}- \frac{5}{4} = \frac{11-5}{4}$
$\frac{6}{4}$

As a mixed fraction: $1\frac{2}{4} = 1\frac{1}{2}$

6 0

3 years ago

Megan buys shorts and a tee shirt.

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The answer is 18.

As half of 36 is 18

3 0

3 years ago

Read 2 more answers

Find the value of x if -x+4=-9

vladimir1956 [14]

Answer:

-13

Step-by-step explanation:

x+4=-9

-4 -4

x= -13

If you did 9+4 you'd get 13. But instead its negative because x is negative.

6 0

3 years ago