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2 years ago

What is the area of the figure? Enter your answer in the box.

Mathematics

1 answer:

nordsb [41]2 years ago

6 0

Answer:

The area of the figure = 112 in²

Step-by-step explanation:

The figure consist of:

1) A square of side length of 10 in.

2) A right triangle with a base of (10 - 6 = 4 in) and a height of (16 - 10 = 6 in)

So,

The area of the square = (side length)² = 10² = 100 in²

The area of the triangle = 0.5 * height * base = 0.5 * 6 * 4 = 12 in²

So,

The total area = 100 + 12 = 112 in²

<u>The area of the figure = 112 in²</u>

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Can someone help me i keep getting different answer!!

spayn [35]

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

6 0

2 years ago

PLEASE HELP I HAVE 20 MINS TO TURN THIS IN AND I HAVE 3 QUESTIONS LEFT:

dlinn [17]

The answer is 360 miles since he can drive 60 miles per hour so just multiply 60x6 and your answer is 360

3 0

2 years ago

Read 2 more answers

Select True or False for each statement. 1 4 9 + 7 6 9 is equal to 8 1 9 . 5 5 6 + 3 3 6 is equal to 8 2 6 . 4 5 8 − 2 4 8 is eq

Elena L [17]

Answer:

(1) False

(2) False

(3). False

(4) False

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

(1). Given, 149 + 769 = 819

By calculating 149 + 769 = 918

Hence, False

(2). Given, 556 + 336 = 826

By calculating 556 + 336 = 892

Hence, False

(3). Given, 458 - 248 = 238

By calculating 458 - 248 = 210

Hence, False

(4). Given, 658 - 228 = 438

By calculating 658 - 228 = 430

Hence, False

4 0

2 years ago

Hi please help,i really need it and so appreciate it:)

nadya68 [22]

Hey there!

12 ≥ 5f - 18

5f - 18 ≤ 12

ADD 18 to BOTH SIDES

5f - 18 + 18 ≤ 12 + 18

SIMPLIFY IT!

5f ≤ 30

DIVIDE 5 to BOTH SIDES

5f/5 ≤ 30/5

SIMPLIFY IT!

f ≤ 6

Therefore, your answer is: f ≤ 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

7 0

1 year ago

Graph the functions and approximate an x-value in which the exponential function exceeds the polynomial function. y = 4x y = 7x2

nordsb [41]

Answer:

The Exponential function is

$y=4^x$

And the polynomial function is

$y=7 x^2 +4 x -2$

And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as

$4^x> 7 x^2 +4 x -2$

1. When , x= -1

LHS

$4^{-1}=\frac{1}{4}=0.25$

RHS

$=7*(-1)^2 +4 *(-1)-2\\\\=7-4-2=1$

2. When , x=0

L HS

$4^0=1$

RHS

$7*0+4*0-2= -2$

3. When ,x= 0.5

L HS

$4^{0.5}=2$

RHS

$=7*0.25 +4*0.5 -2\\\\= 1.75+2-2\\\\=1.75$

4. When , x=2

LHS

$4^{2}=16$

RHS

$=7*4^2+4*4-2\\\\=112+16-2\\\\=126$

The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5

But,there is other value for which exponential function exceeds the polynomial function is , x=2.

5 0

2 years ago