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FrozenT [24]
3 years ago
7

Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg o

f the triangles is equal to 4 units. What is the area of the remaining octagon?
Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

368 sq. units.

Step-by-step explanation:

We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.

Now, the four isosceles right triangles have one leg equal to 4 units.  

Therefore, the area of four triangles = 4 \times ( \frac{1}{2} \times 4 \times 4) = 32 sq. units.

Now, we have the area of the given square is (20 × 20) = 400 sq. units.

Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)

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Denise would like to purchase a computer that costs$2000. Create and solve an inequality in order to determine the least amount
photoshop1234 [79]

The question is incomplete. Here is the complete question:

Denise earns $30 an hour. She wants to purchase a computer that costs $2000. Create and solve an inequality to determine the least amount of hours she must work in order to be able to purchase the computer.

Answer:

30h\geq 2000\ or\\h\geq67

Denise has to work at least 67 hours in order to buy a computer that costs $2000.

Step-by-step explanation:

Given:

Hourly earning of Denise is $30.

Let the number of hours Denise works be 'h'.

Now, total earning of Denise can be calculated using the unitary method and is given as:

Total\ money=\textrm{Hourly earning}\times \textrm{Total hours worked}\\Total\ money=30\times h\\Total\ money=30h

Now, total money earned by Denise must be at least $2000 in order to purchase a computer. Therefore, the inequality is given as:

30h\geq 2000\\h\geq \frac{2000}{30}\\h\geq 66.7

Therefore, Denise has to work at least 67 hours in order to buy a computer that costs $2000.

7 0
2 years ago
Mrs Rahlee bought 300 yards of ribbon to make flowers. She used 1.22 yards to make one large flower. She made 200 such large flo
Mamont248 [21]
So 1.22 per large flower
200 large flowers
1.22 times 200=244 yards used
subtract
300-244=56

56=100 smal flowers
divide both sides by 100
0.56=1 small flower
the answer is 0.56 yards=1 flower
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2 years ago
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Help i’m an idiot…….
OLga [1]

Answer: you're not an idiot

3 0
2 years ago
Find X in this question
Andreas93 [3]

Answer:

Step-by-step explanation:

∠1 = 38    {Vertically opposite angles}

∠2 = 39 + 36 = 75

Exterior angle equals the sum of opposite interior angles.

x = ∠1 +∠2        

 = 38 + 75

x = 113

7 0
3 years ago
A larger number is one less than five times a smaller number. The sum of
Andre45 [30]

Answer:

whichever of these formats you need its the same answer (16/6) or 2.66666 or (2 and 2/3rds)

Step-by-step explanation:

replace smaller variable with x for example

(x) + (5x-1) = 17

6x-1=17

6x=16

x=(16/6 or 2.666666 or 2and2/3)

6 0
3 years ago
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