Slope-intercept from by steps

95.81 rounded to the nearest whole number

Nady [450]

The nearest whole number would be 96

8 0

3 years ago

A square ceiling has a diagonal of 23 ft. Shelton wants to put molding around the perimeter of the ceiling. The molding is sold

Hatshy [7]

Answer:

Minimum 66 feet of molding that he needs.

Step-by-step explanation:

Given that a square ceiling has a diagonal of 23 ft.

If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²

⇒ 2a² = 23²

⇒ a = 16.2634 feet (Approximate)

Now, the perimeter of the square ceiling will be 4a = 65.05 feet.

If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)

6 0

3 years ago

Read 2 more answers

Which angles are corresponding angles?

konstantin123 [22]

Answer:

A. 7 and 3

&

B. 1 and 5

Step-by-step explanation:

Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

The answers are:

•8 and 4

•5 and 1

•7 and 3

•6 and 2

I hope this helps! I'm sorry if it's wrong.

3 0

3 years ago

Need help again asap please! Find the sum of the first 30 terms of the sequence below an=3n+2

hoa [83]

$S_{30}$ = 1455

generate a few terms of the sequence using $a_{n}$ = 3n + 2

$a_{1}$ = ( 3 × 1) + 2 = 5

$a_{2}$ = (3 × 2) + 2 = 8

$a_{3}$ = (3 × 3 ) + 2 = 11

$a_{4}$ = (3 × 4 ) + 2 = 14

$a_{5}$ = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using $S_{n}$ = $\frac{n}{2}$ [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and $a_{1}$ = 5

$S_{30}$ = $\frac{30}{2}$ [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455

3 0

3 years ago

Read 2 more answers

A lake has a large population of fish. On average, there are 2,400 fish in the lake, but this number can vary by as much as 155.

AleksAgata [21]

Answer:

Minimum population of fish in lake = 2400 - 155 = 2245

Maximum population of fish in lake = 2400 + 155 = 2555

Step-by-step explanation:

population of fish in lake = 2400

Variation of fish = 155

it means that while current population of fish is 2400, the number can increase or decrease by maximum upto 155.

For example

for increase

population of fish can 2400 + 2, 2400 + 70, 2400 + 130 etc

but it cannot be beyond 2400 + 155.

It cannot be 2400 + 156

similarly for decrease

population of fish can 2400 - 3, 2400 - 95, 2400 - 144 etc

but it cannot be less that 2400 - 155.

It cannot be 2400 - 156

Hence population can fish in lake can be between 2400 - 155 and 2400 + 155

minimum population of fish in lake = 2400 - 155 = 2245

maximum population of fish in lake = 2400 + 155 = 2555

4 0

3 years ago