All categories

3 years ago

Area of this composite shape

Mathematics

1 answer:

Bad White [126]3 years ago

3 0

Answer:

40 in^2

Step-by-step explanation:

Separate the shape into a square and a triangle. Find the measurements of each shape then find the sum.

You might be interested in

2. Simplify the following expression.<br> – 2(3x – 5) – 12x - 2

aniked [119]

Answer:

-18x+8

Step-by-step explanation:

First you have to distribute the -2 to the 3x and the -5 in the parenthesis giving you -6x+10-12x-2.

Next you combine like terms which gives you -18x+8

3 0

3 years ago

A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?

fomenos

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

$a_n=3^n+4$

From this explicit formula,

First term of the sequence will be,

$a_1=(3^1)+4$

$a_1=7$

Second term of the sequence,

$a_2=(3^2)+4$

$a_2$ = 13

3rd term of the sequence,

$a_{3}=(3^3)+4$

= 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

$a_n=3a_{n-1}-8$

$a_2=3(a_1)-8$

$a_2=3(7)-8$

$a_2=21-8$ = 13

$a_3=3a_2-8$

$a_3=3(13)-8$

= 39 - 8

= 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

5 0

3 years ago

I need help understanding how to solve this problem .

ladessa [460]

5*2x|x|-6=24

10*|x|-6=24

10*|x|=30

Divided both sides of the equation by 10

|x|=3

X=3 X=-3

4 0

3 years ago

A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second. The function h(t)=-16t^2+55t+4

Shalnov [3]

Answer:

Time in seconds when the ball is 4 feet above the ground is:

t= 0.6 and 2.9.

6 0

3 years ago

X-y=3<br> X+2y=-6<br> Solve using substitution

Tresset [83]

X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
3y=-6-3
3y=-9
y=-3

X+2y=-6
X+2(-3)=-6
X-6=-6
X=0

3 0

3 years ago