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tino4ka555 [31]
3 years ago
12

Abc is an isosceles and right triangle whose hypotenuse measures 8 inches. use the pythagorean theorem to determine the length o

f each leg
Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
Because the triangle ABC is isosceles, the leg of the triangle has the same length. For example, the length of one leg is a, then the other leg is a too.

Input the numbers to pythagorean formula
a² + b² = c²
a² + a² = 8²
2a² = 64
a² = 64/2
a² = 32
a = √32
a = √16 × √2
a = 4√2

The length of each leg is 4√2 inches
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40 (pts)
Ber [7]

Answer:

m<Q = 92 degrees

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary.

Angles O and Q are opposite angles, so they are supplementary, so their measures add up to 180 degrees.

m<O + m<Q = 180

2x + 2x + 4 = 180

4x + 4 = 180

4x = 176

x = 44

m<Q = 2x + 4 = 2(44) + 4 = 92


4 0
3 years ago
Read 2 more answers
1 1/3 miles in 1/4 hours
Romashka [77]

Answer:

So even though it'll be a little strange, you do just take the miles and divide by the hours.  Since 1 1/3 is the same as 4/3 then the rate = (4/3)/(1/4).  

That's the same as 4/3 * 4 = 16/3 miles per hour.  Or 5 1/3 miles per hour.

Step-by-step explanation:

6 0
3 years ago
Jack ran 150 miles a week.Joanna ran 39 mote times than Jack.How many miles did Joanna run?​
Alecsey [184]

Answer:

5850 miles

Step-by-step explanation:

150 X 39 = 5850

We multiple because it says Joanna ran 39 more TIMES than Jack.

Joanna ran 5850 miles.

3 0
3 years ago
a book store cost $80 a day to keep open, and it spends $15 for each book that it sells. if each book sells for $23, what is the
aalyn [17]

The break even point for this book store is 10

<em><u>Solution:</u></em>

Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells

Cost to open the book store = $ 80

<em><u>The formula for solving the break even point (BEP) is:</u></em>

BEP = \frac{\text{Fixed cost}}{\text{Selling price - variable cost}}

Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases

Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased

In this problem,

Fixed cost = $ 80

Selling price = $ 23

Variable cost = $ 15

Therefore,

BEP = \frac{80}{23-15}\\\\BEP = \frac{80}{8}\\\\BEP = 10

Thus break even point for this book store is 10

In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost

6 0
4 years ago
Read 2 more answers
Help please, please anybody
bezimeni [28]

Answer:

the answer is the third one 3

4 0
3 years ago
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