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3 years ago

Help please thank you

Mathematics

1 answer:

leva [86]3 years ago

8 0

Answer:

200.06

Step-by-step explanation:

Area= πr2

Divide 16/2 to get radius

A= 3.14 x 8 x 8

A= 3.14 x 64

A= 200.06

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A rectangle has a length that is 2 meters more than the width. The area of the rectangle is 288 square meters. Find the dimensio

Rufina [12.5K]

Answer:

L = 18 and w = 16

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.

$A = l*w\\288 = w(2+w)\\288 = w^2 + 2w$

To solve for w, move 288 to the other side by subtraction. Then factor and solve.

$w^2 + 2w - 288 = 0 \\(w +18)(w-16) = 0\\$

Set each factor equal to 0 and solve.

w - 16 = 0 so w = 16

w + 18 = 0 so w = -18

Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.

This means the length is 16 + 2 = 18.

7 0

3 years ago

Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's an

elena-14-01-66 [18.8K]

Complete question :

Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?

Answer:

0; 792 ; 100396 ; 30408224 ; 18643560 ;

Step-by-step explanation:

Number of cards in a deck = 52

Number of cards to be drawn = 7

Using combination:

nCr = n! ÷ (n-r)!r!

A.)

Number of 5's in a deck = 4

4C7 = 0

(B.)

only 8s, 9s, and 10s,

Number of 8, 9 and 10's = 4 *3 = 12

12C7 = 12! ÷ 5!7! = 792

(C)

no 8s, 9s, and 10s ;

Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560

(D)

exactly 2 jacks or kings,

Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44

8C2 * 44C5 = 28 * 1086008 = 30408224

(e) 5 spades and 2 hearts?

Number of spades = 13

Number of hearts = 13

13C5 * 13C2

1287 * 78 = 100396

4 0

3 years ago

Study the exercises in which both addends are negative. What do you notice about the sum?

Sav [38]

This question would be a lot better if you had actually included the exercises. When a question talks about other questions that you already did, you need to include those too. Otherwise we don't know what the question is talking about. Fortunately I was able to figure it out without seeing the exercises, but just for future reference, you should include that extra information.

When two addends(things you add together) are negative, adding them is a lot like adding positive numbers; you just have a negative sign on the sum. For example,
4 + 5 = 9
-4 + -5 = -9

7 0

3 years ago

ANSWER SUPER QUICK

faltersainse [42]

Answer: The required equation is $x=(7\times12-34.5)\div8\frac{1}{4}$

Maria can cut 6 sections from the remaining rope.

Step-by-step explanation:

The total length of rope = 7 feet

since 1 feet = 12 inches

Therefore, 7 feet= $7\times 12=84\ inches$

Let x be the number of sections.

Since the instructions are to use 34.5 inches of rope to tie a tarp on top the the tent. Then, the remaining rope should be cut 8 1/4 inch sections to tie tent to stakes in the ground.

then the required equation will be

$x=(7\times12-34.5)\div8\frac{1}{4}\\\Rightarrow\ x=(84-34.5)\div \frac{33}{4}\\\Rightarrow\ x=49.5\div8.25\\\Rightarrow\ x=6$

So, maria can cut 6 sections.

3 0

3 years ago

(-8m + 1) + (3m + 7)= 9m + 10m

hoa [83]

Answer:

m=1/3

Step-by-step explanation:

trust

4 0

3 years ago