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Mamont248 [21]
3 years ago
5

I’m a right triangle the length of the hypotenuse is 12and the length of one leg is 8 . What is the length of the other leg?

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

other leg is 8.94

Step-by-step explanation:

Pythagorean Theorem  is a² + b² = c²

a and b are legs

c is the hypotenuse

8² + b² = 12²

64 + b² = 144

-64          -64

        b² = 80

        √b² = √80

         b ≈ 8.94

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jar contains pink and green marbles in the ratio 3 : 4. When John replaces 5 of the green marbles with 8 pink marbles, the ratio
nikklg [1K]

Answer:

52:49

Step-by-step explanation:

pink:green

The ratio of pink to green marbles is

3k:4k

He removes 5 green marbles and adds 8 pink marbles.

Now the ratio of pink to green marbles is

(3k + 8):(4k - 5)

This rario is equal to 29:23.

(3k + 8)/(4k - 5) = 29/23

29(4k - 5) = 23(3k + 8)

116k - 145 = 69k + 184

47k = 329

k = 7

Original amounts:

3 * k = 3 * 7 = 21 pink

4 * k = 4 * 7 = 28 green

Original total = 21 + 28 = 49

Amounts after replacement:

3k + 8 = 3(7) + 8 = 29 pink

4k - 5 = 4(7) - 5 = 23 green

Total after replacement = 23 + 29 = 52

Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.

8 0
3 years ago
What is the slope-intercept form of 3x=9y
grin007 [14]
3x = 9y
9y = 3x
y = 3x/9
y = 1/3x

The slope is 1/3
7 0
3 years ago
-16+5n=-7(-6+8n)+3<br><br> what is the work for this ?? this is the like only one i cant get
uranmaximum [27]
-16 + 5n = -7(-6 + 8n) + 3   Given
-16 + 5n = 42 - 56n + 3   Distribute
-16 + 5n = 45 - 56n   Collect like terms
61n = 61   Add 56n to the left side and add 16 to the right side
n = 1   Divide 61 from both sides

The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.

Hope this helps!
4 0
4 years ago
W is how many units?
lidiya [134]
W is 5 units
w=(P-2l)/2
w=(30-2(10))/2
w=(30-20)/2
w=(10)/2
w=10/2
w=5
7 0
4 years ago
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
Mkey [24]

we know that


1) scale factor is equal to \frac{1}{10}


2) The ratio of the perimeters of the triangles is equal to the ratio of the measures of the sides


3) the longest side of ∆ABC=[scale factor]*the longest side of ∆DEF

the longest side of ∆ABC=\frac{1}{10}*40

the longest side of ∆ABC=4 units


the answer part a) is

the longest side of ∆ABC is 4 units


Part b)

The ratio of the area of ∆ABC to the area of ∆DEF is equal to the scale factor squared

so

[scale factor]^{2} =(\frac{1}{10})^{2} \\ \\ =\frac{1}{100} \\ \\ =0.01


therefore


the answer part b) is

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

6 0
3 years ago
Read 2 more answers
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