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3 years ago

Determine if the sequence below is arithmetic or geometric and determine the

1 answer:

6 0

A1=5
a2=15
a3=45
a2/a1=15/5=3
a3/a4=45/15=3
Sequence is geometric-the ration of each term and previous term is CONSTANT. Ratio is: 3
There is no common difference (d), as sequins not arithmetic.

d=a(n) - a(n-1)
a(n) is last term
a(n-1) is the previous term
d=45-15
d=30
d=15-5=10
The difference between each number in sequence is not the same therefore, there is not common difference.

Good luck.

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The lateral surface area of cone A is equal to the lateral surface area of cylinder B.

Natasha2012 [34]

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

= 2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

4 0

3 years ago

Find the distance between (–6, 5) and (3, 0). round to the nearest tenth if necessary. a 106.1 b –10.3 c 10.3 d 5.8

AleksandrR [38]

$\sqrt{81 + 25 } = \sqrt{106}$
it will be around 10,3

4 0

3 years ago

HELP ME PLEASE, I'D LIKE TO UNDERSTAND HOW TO DO THIS TOO SO I'LL GIVE BRAINLY FOR THE RIGHT ANSWER WITH GOOD AND UNDERSTANDING

umka2103 [35]

Answer:

34 goes in the blank.

Step-by-step explanation:

Triangle ABC is congruent to triangle TUV implies the following:

Angle A is congruent to angle T.

Angle B is congruent to angle U.

Angle C is congruent to angle V.

Side AB is congruent to side TU.

Side BC is congruent to side UV.

Side CA is congruent to side VT.

Note: Order tells you everything in a congruence statement.

Since side BC is congruent to UV, then the measure of side BC is equal to the measure of side UV.

8x+2=7x+6

Subtract 7x on both sides:

1x+2=6

x+2=6

Subtract 2 on both sides:

x=6-2

x=4

So if x=4, then the measure of side BC is 8x+2=8(4)+2=32+2=34.

So the measure of BC is 34 cm.

5 0

4 years ago

Point A lies outside of plane P. How many lines can be drawn perpendicular to plane P through point A?

Ivanshal [37]

<em>Answer</em>

D) 1

<em>Explanation</em>

A perpendicular line makes a angle of 90° with a line or a plane.

If a line is to be drawn from a point to a line or a plain it can only be one. In this case a line is to be drawn through a point A to a plane P. If the line is to be perpendicular, then is is only one.

From the choices, the appropriate answer is D) 1

3 0

3 years ago

Read 2 more answers

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

Vesna [10]

Answer:

3 ft by 8 ft

Step-by-step explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft

4 0

3 years ago