Pascal wants to ride his bike to and from school 3 days a week. His house is 2.58 kilometers from his school. How many meters wi

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

PIT_PIT [12445]

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

$\frac{77^\circ}{2}=38.5^\circ$

In the initial triangle, we will apply the "Cosine formula" as follows:-

$\cos 38.5^\circ=\frac{Base}{Hypotenuse}$

$cos 38.5^\circ=\frac{40}{Hypotenuse}$

$\\\\0.782=\frac{40}{Hypotenuse}$

$\\\\Hypotenuse=\frac{40}{0.782}$

$=51.15\ cm$

4 0

3 months ago

Joshua Freeman has a family membership in his company’s health insurance plan with the benefits shown. His recent non-network he

AnnZ [12381]

The co-payment for his doctor visits totals:

10 x 18 = $180.

For his physical therapy sessions, the co-payment amounts to:

10 x 20% x 150 = $300.

When you sum both co-payments, it totals $480.

8 0

3 months ago

A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags

Svet_ta [12734]

Answer:

The total weight of 15 bags is 258.21 kilograms.

The combined volume of 15 bags is 2.222 cubic yards.

Step-by-step explanation:

In terms of dimensions, a pound is equivalent to 0.453 kilograms, and a cubic yard is equal to 27 cubic feet. We'll calculate the weight and volume for 15 bags by utilizing these conversions:

Weight

$x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}$

$x = 258.21\,kg$

The total weight of 15 bags equals 258.21 kilograms.

Volume

$x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}$

$x = 2.222\,yd^{3}$

The total volume of 15 bags sums up to 2.222 cubic yards.

7 0

2 months ago