Write the first five terms of a numerical pattern that begins with 5 and then adds 6

1 answer:

7 0

This pattern forms an arithmetic sequence with the first term $a_1=5$ . The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,

$a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29$

The first terms of this sequence are 5, 11, 17, 23,29.

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Steel loading ramps are used to load a

tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

Therefore, the length of the ramp is 6.25 feet.

6 0

3 years ago

Flour is sold in 3-pound bags. How many pounds are in 7 bags?

Mariana [72]

Answer:

try multiplying 3x7 would be 21