Can anyone help me with this

4.5 + pi (3.14) is

sweet [91]

<span>b because
</span><span>irrational because it is a repeating decimal.</span>

6 0

3 years ago

Find the value of x and y

Marysya12 [62]

Answer:

x=36 y=48

Step-by-step explanation:

4 0

2 years ago

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

Please show the working and answer. you can take a picture for the working.

baherus [9]

Answer:

(a) The area of the triangle is approximately 39.0223 cm²

(b) ∠SQR is approximately 55.582°

Step-by-step explanation:

(a) By sin rule, we have;

SQ/(sin(∠SPQ)) = PQ/(sin(∠PSQ)), which gives;

5.4/(sin(52°)) = 6.8/(sin(∠PSQ))

∴ (sin(∠PSQ)) = (6.8/5.4) × (sin(52°)) ≈ 0.9923

∠PSQ = sin⁻¹(0.9923) ≈ 82.88976°

Similarly, we have;

5.4/(sin(52°)) = SP/(sin(180 - 52 - 82.88976))

Where, 180 - 52 - 82.88976 = ∠PQS = 45.11024

SP = 5.4/(sin(52°))×(sin(180 - 52 - 82.88976)) ≈ 4.8549

Given that RS : SP = 2 : 1, we have;

RS = 2 × SP = 2 × 4.8549 ≈ 9.7098

We have by cosine rule, $\overline {RQ}$ ² = $\overline {SQ}$ ² + $\overline {SR}$ ² - 2 × $\overline {SQ}$ × $\overline {SR}$ × cos(∠QSR)

∠QSR and ∠PSQ are supplementary angles, therefore;

∠QSR = 180° - ∠PSQ = 180° - 82.88976° = 97.11024°

∠QSR = 97.11024°

Therefore;

$\overline {RQ}$ ² = 5.4² + 9.7098² - 2 × 5.4×9.7098× cos(97.11024)

$\overline {RQ}$ ² ≈ 136.42

$\overline {RQ}$ = √(136.42) ≈ 11.6799

The area of the triangle = 1/2 × $\overline {PQ}$ × $\overline {PR}$ × sin(∠SPQ)

By substituting the values, we have;

1/2 × $\overline {PQ}$ × $\overline {PR}$ × sin(∠SPQ)

1/2 × 6.8 × (4.8549 + 9.7098) × sin(52°) ≈ 39.0223 cm²

The area of the triangle ≈ 39.0223 cm²

(b) By sin rule, we have;

$\overline {RS}$ /(sin(∠SQR)) = $\overline {RQ}$ /(sin(∠QSR))

By substituting, we have;

9.7098/(sin(∠SQR)) = 11.6799/(sin(97.11024))

sin(∠SQR) = 9.7098/(11.6799/(sin(97.11024))) ≈ 0.82493

∠SQR = sin⁻¹(0.82493) ≈ 55.582°.

8 0

3 years ago

Holly drove 100 miles in 4 hours, and Yemi drove 100 miles in 5 hours. How can you compare the speeds of Holly and Yemi? Explain

Lelu [443]

The first thing that yo do is divide 100 by 5 for Yemi and that's how fast she drove which is 20 miles per hour. And then you do the same thing for Holly 100 divided by 4 which is 25 mph. So Holly is driving faster than Yemi. So you can compare them by dividing the miles by hours for both of them.

3 0

3 years ago