If logarithm of 5832 be 6, Find thw base?

HELP FAST. A circle with radius of 3 cm sits inside a 8 cm x 7 cm rectangle.

defon

Answer:

27.73 cm

1. Find the area of the rectangle: 8x7=56 cm

2. Find the area of the circle: pi x 3 squared= 28.2743338....cm

3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm

4. Round to the nearest hundredth: 27.73 cm

4 0

3 years ago

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

2 years ago

Read 2 more answers

39-(15z+48)/27=35 what is z

Hatshy [7]

39-(15z+48)/27=35 39-35=(15z+48)/27 4=(15z+48)/27 108=15z+48 108-48=15z 60=15z z=60/15 z=4

7 0

2 years ago

What is equivalent to k/2

Mazyrski [523]

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

8 0

2 years ago

Bianca had a weekly allowance of $8.50 two years ago. Last year, her weekly allowance was $9.75. This year, Bianca's weekly allo

Natasha_Volkova [10]

Answer:

No

Step-by-step explanation:

In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of

9.75 - 8.50 = 1.25 dollar change

1.25 / 8.50 = 0.147 or a 14.7% increase

Between the second and third year, there was a change of

12 - 9.75 = 2.25 dollar change

2.25 / 9.75 = 0.23 or 23% increase

Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.

3 0

2 years ago

If logarithm of 5832 be 6, Find thw base?​

If logarithm of 5832 be 6, Find thw base?