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disa [49]
3 years ago
14

Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right a

ngles.
What is the area of Maori's shape?

A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

B) 48cm²

Step-by-step explanation:

find the area of the 2 rectangles

A = bh

A = 9×4

A = 36

A = bh

A = 6×2

A = 12

add them up you get 48cm²

You might be interested in
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
kondaur [170]

Answer: A. profit of $4500

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

    r(x) = x² + 6x + 10

  - <u>c(x) = x² - 4x + 5</u>

(r - c)(x) =     10x + 5


(r - c)(4) = 10(4) + 5

           =  40 + 5

           = 45

(r - c)(x) represents the profit (in hundreds of dollars) in x months

(r - c)(4) represents the profit (in hundreds of dollars) in 4 months

So, the new store will have a profit of $4500 in 4 months

3 0
3 years ago
The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex
mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

(6,112,50), (8,150), (11,206.25)

step 1

Find the slope with the first and second point

(6,112,50), (8,150)

m=(150-112.50)/(8-6)=18.75

step 2

Find the slope with the first and third point

(6,112,50), (11,206.25)

m=(206.25-112.50)/(11-6)=18.75

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0
3 years ago
Isreal has $57 in the bank. He adds $32 to it each month. He wants to buy a bike that cost $435. Every month the bike's price is
wlad13 [49]

Answer:

9

Step-by-step explanation:

57 + 32x equals 435 - 10x

42 x equals 378

x equals 9

5 0
3 years ago
Solve for this equation. x-2/5=1/5
Studentka2010 [4]

Answer:

3/5   or

0.6

Step-by-step explanation:

You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.

x - 2/5 = 1/5                        Add 2/5 to both sides

x - 2/5 + 2/5 = 1/5 + 2/5     The left side cancels to 0.

x = 1/5 + 2/5                       The denominators (bottom the fraction) are the same. Just add the tops.

x = (1 + 2)/5

x = 3/5

=======================

If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5

2

÷

5

=

0.4

By the same method, 1/5 = 0.2

Substitute into the original equation

x - 0.4 = 0.2                       Add 0.4 to both sides

x - 0.4 +0.4 = 0.2 + 0.4    The left side reduces just to x

x = 0.2 +0.4

x = 0.6

If you let your calculator do the work, like this

3

÷

5              

=

0.6

The answers are the same.

7 0
3 years ago
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