All categories

3 years ago

Find the shaded area .

Mathematics

2 answers:

Monica [59]3 years ago

5 0

Answer:

152cm^2

Step-by-step explanation:

Find area of whole rectangle = 12 * 18 = 216cm^2

Find area of smaller square = 8 * 8 = 64cm^2

Take away the larger area from the smaller area = 216 - 64 = 152cm^2

(^2 indicates cm squared)

Hope this helps :)

jeka943 years ago

5 0

Answer:

Area of the given figure is 152 sq.cm

Step-by-step explanation:

area of given figure (A)

= area of rectangle - area of minor square

=》A = (12 × 18) - (8 × 8)

=》A = 216 - 64

=》A = 152 sq.cm

You might be interested in

Find the perimeter of the figure.<br>(Please show work)

xxMikexx [17]

Answer:

27.2 units (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

5 0

4 years ago

Brianna needs $73 more and molly needs $65 more before they both can afford a bike. If they combine their money, they can get a

Yuliya22 [10]

(x-73) + (x-65) = x

2x - 138 = x

2x - x = 138

x = $138 cost of the bike

8 0

3 years ago

Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into fo

nlexa [21]

Answer:

14,062.5ft^2

Step-by-step explanation:

A farmer has a given length of fencing. Since this fencing is used to enclose a rectangular area, before it is then divided it into four pens using the same provided fencing material. This will definitely lead to five lengths of fencing which come along one side of the rectangle to form four pens.

Let us assume that the length of the each of the five sides be xft.

Then let the length of each of the two sides in the be yft.

Since the total length of fencing available is 750 feet.

Then we can have an equation of such:

5x+2y=750

Making y the subject

2y = 750-5x

y = 750-5x/2. ........1

The area of the rectangular region is given by:

A = xy. ......... 2

Combining (1) in (2) to find the area

A(x)= x. (750−5x)/2

=750x−5x^2/2 ........... (*)

Going by the means of first diffential calculus.

A(x)=750x−5x^2/2

A'(x) = 750-10x/2

Setting A'(x) = 0

750-10x/2 = 0

750-10x = 2×0

750-10x = 0

750= 10x

x = 750/10

x = 75

Now that we have x = 75

We can now substitute into equation (*)

A(x) = 750×75-5×75^2/2

= (56250-28125)/2

= 28126/2

= 14062.5

Hence the rectangular region of maximum area is

14062.5ft^2

5 0

3 years ago

CAN SOMEONE PLEASE HELP!!!!

dalvyx [7]

Answer:

4/3 - 1.333 - 133.33%

4/25 - 0.16 - 16%

9/200 - 0.045 - 4.5

1/5 - 0.20 - 20%

Step-by-step explanation:

each are in order :)

4 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

KengaRu [80]

Answer:

0.139

Step-by-step explanation:

We are given that

Total number of cards=52

n=18

We have to find the probability of drawing at least 7 spades

Total number of spaded in deck of 52 cards=13

Probability of getting spade= $p=\frac{13}{52}=\frac{1}{4}$

Probability, $P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting no spade= $q=1-p=1-\frac{1}{4}=\frac{3}{4}$

By binomial theorem of probability

$P(X=x)=\binom{n}r}p^rq^{n-r}$

P(x $\geq 7)=1-P(x\leq 6)$

The probability of drawing at least 7 spades= $1-\sum_{r=0}^{6}\binom{18}{r}(\frac{3}{4})^{18-r}(\frac{1}{4})^r$

The probability of drawing at least 7 spades=0.139

4 0

3 years ago