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Tcecarenko [31]
3 years ago
14

Find the area of the shape shown below.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Answer:

<em>32 units² </em>

Step-by-step explanation:

A_{1} = 4(2 + 2 + 6) ÷ 2 = 20

A_{2} = (2 × 2) ÷ 2 = 2

A_{3} = 2² = 4

A_{4} = 2 × 6 ÷ 2 = 6

A = A_{1} + A_{2} + A_{3} + A_{4} = <em>32 units²</em>

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a sample of unknown liquid has a volume of 12.0ml and a mass off 6g, what is its density? and how did you do the problem?
maw [93]

Answer:


Step-by-step explanation:

The equation for solving for density is:

Density = mass / volume

Then plug in the values:

Density = 6 g / 12 mL

Divide and don't forget the units!

Density = 0.5 g/mL


5 0
4 years ago
I need help with solving this
leva [86]

Answer:

49

Step-by-step explanation:

Positive 49 not -49

3 0
3 years ago
Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
A=130(1.05)^x by what percent does the balence increase each year?
frosja888 [35]

Answer:

5%

Step-by-step explanation:

The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:

A = P (1 +r) ^ t

A= amount of the balance after a period of t

P= principal, the initial money deposit

r= rate

t= time

The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.

The value of rate (r) will be:

(1+r) = 1.05

r= 1.05-1= 0.05 = 5%

6 0
4 years ago
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT!!
Montano1993 [528]

Answer:

the second one  +1.5 m/s

Step-by-step explanation:

to find the velocity you need to find the slope of the two points then just put it into the time (s) and position (m) terms which equals +1.5 m/s

7 0
3 years ago
Read 2 more answers
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