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spin [16.1K]
3 years ago
15

Solve for b Pythagorean

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

The figure shows a right triangle at each corner with legs 3 and b and hypotenuse 4. The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse:

3² + b² = 4² . . . . . . put the numbers into the Pythagorean formula

9 + b² = 16 . . . . . . . evaluate the squares

b² = 16 - 9 = 7 . . . . subtract 9 to isolate the variable

b = √7 . . . . . . . . . . undo the square operation by taking the square root

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A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr
miv72 [106K]

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88     Eqn 1

5x+2y=25      Eqn 2

Multiplying Eqn 2 by 4

4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\

Subtracting Eqn 1 from Eqn 3

(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12

Dividing both sides by 8

\frac{8x}{8}=\frac{12}{8}\\x=1.5

Putting x=1.5 in Eqn 1

12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70

Dividing both sides by 8

\frac{8y}{8}=\frac{70}{8}\\y=8.75

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11334714
  • brainly.com/question/11345547

#LearnwithBrainly

5 0
3 years ago
What is the modulus of 6 + 7i?
lions [1.4K]
\sqrt{6^2+7^2}=\sqrt{85}
3 0
3 years ago
Read 2 more answers
An infinite number of ratios are equivalent to 3:8. How
Inessa05 [86]

Answer:

See below, please!

Step-by-step explanation:

There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.

For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?

Hope this helped!

3 0
3 years ago
Apply the distributive property using the greatest common factor to write an equivalent expression. Enter your answers in the bo
Lilit [14]

Solution:

0.3 × 2.7

Using Distributive property of multiplication with respect to subtraction the value of multiplication of two rationals or two decimals

⇒0.3 × (3-0.3)

⇒ 0.3 × 3 - 0.3 × 0.3

⇒ 0.9 - 0.09

= 0.81

H C F of 0.3 and 2.7 is 0.3.

The Equivalent of product of 0.3 × 2.7 are

1.→0.9 × 0.9

2.→→ 3 × 0.27

5 0
3 years ago
HELP ASAP! WILL MARK BRAINLIEST!!​
malfutka [58]

Answer:

r = 6

Step-by-step explanation:

V(cyl) = π · r² · h

144π =  π · r² · 4

144 = r² · 4

<u>144</u> = r²

 4

r = \sqrt{144} ÷ \sqrt{4}

r = 12/2

r = 6

5 0
2 years ago
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