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Lunna [17]
2 years ago
9

16. The Pythagorean Theorem states that a ^ 2 + b ^ 2 = c ^ 2 if a and b represent the lengths of the legs of a right triangle a

nd c represents the length of the hypotenuse. aFind the length of the hypotenuse if the lengths of the legs are 9 cm and 12 cm. b. Find the length of each leg of an isosceles right triangle whose hypotenuse is 10 cm Round the nearest tenth of a centimeter
Mathematics
2 answers:
Bad White [126]2 years ago
6 0

Step-by-step explanation:

a. Pythagoras formula stated above

so 9²+12²

81+144 is 225

√252 is 15cm

b. in this question well have to use surds

an isosceles triangle had a 90 and 2x45 degree angles

we hypotenuse is 10cm

√a²+a² =10cm

√2a² is 10cm which makes

a√2 equals 10

then rearrange

a=10/√2= 5√2

the answer is 5√2

Ksivusya [100]2 years ago
3 0

Answer: 25

Step-by-step explanation:

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Express 0.96 as a fraction
svp [43]
Since 6 is in the hundredths place,

96/100

You can divide that by two for a different, but equal fraction.

48/50, 24/25

24/25 is the simplest form.

I hope this helped you!
~kaikers
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2 years ago
Salma made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces
IRINA_888 [86]

Answer:

$3.30

Step-by-step explanation:

2.60*6= $15.60 beads per necklace

35.40-15.60= $19.80 total pendant

19.80/6= $3.30 per pendant

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2 years ago
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Which of the following verbal expression represents the algebraic expression x/2+5
ycow [4]
It would be 5 more than half of a number.
6 0
3 years ago
A woman takes 12 equal-sized steps. She walks a total of 10 yards
kiruha [24]

Answer:

Each step is 30 inches

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3 0
2 years ago
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
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