A 3ft vertical post casts a 24in shadow at the same time a pine tree casts a 30ft shadow. How tall is the pine tree?

A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter a

Ann [662]

The perimeter of the actual object is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

3 0

3 years ago

An equation is given.

statuscvo [17]

You can use (-25,-5) it fits the equation and it’s in the solution set

5 0

3 years ago

Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10

JulijaS [17]

Answer:

7, 10 and 15

Step-by-step explanation:

Given

$S_1= 3$ --- Students already enrolled

$Total = 10\ (less)$

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

$S_1 + x < Total$

Make x the subject

$x < Total - S_1$

Substitute values for Total and S1

$x < 10 - 3$

$x < 7$

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

7 0

3 years ago

S $1,595 deposit for 10 years at a simple interest rate of 8%

o-na [289]

Answer:

$2,871.00

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1595(1 + (0.08 × 10)) = 2871

A = $2,871.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.

6 0

3 years ago

2, 8, 32, 128 what is the 11th term

Deffense [45]

The answer is 8,388,608

8 0

3 years ago

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