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const2013 [10]
2 years ago
10

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 ​centimeters, and the l

ength of the other leg is 23 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters.
Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Mathematics
1 answer:
rjkz [21]2 years ago
7 0

1. Use the Pythagorean Theorem because this is a right triangle:

a^2 + b^2 = c^2

34^2 + 23^2 = c^2

√ 1685 = c

c = 41

answer: 41

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There is a bag filled with 4 blue and 5 red marbles.
gavmur [86]

1) first pick red 5/9 blue 4/9


2) second pick when red has been picked red now becomes 4/8, blue stays 4/8


2) Second pick when blue has been picked blue now becomes 3/8, red stays 5/8


Mind you, you only need both different colours so:

first pick red 5/9 x sec pick blue 4/8 = 20/72

and first pick blue 4/9 x sec pick red 5/8 = 20/72

add both up 20/72 + 20/72 = 40/72 = 5/9

6 0
3 years ago
The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim
nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be  a*10^b and another be  c*10^d, when we divide, we will follow the rule shown below:

\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})

Now, we use the information given to find the ratio:

\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

0.1833*10^4=1833

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

7 0
3 years ago
Read 2 more answers
Given ƒ(x) = 3x + 9, find x when ƒ(x) = 21.
Dima020 [189]
3x + 9 = 21
3x = 12
x = 4
7 0
2 years ago
Read 2 more answers
Is this a function??????
Vitek1552 [10]

Answer: yes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3c/4 - 2c/4 = 4 (solve with work please)
xxMikexx [17]

Simplifying

2c + 3 = 3c + -4

Reorder the terms:

3 + 2c = 3c + -4

Reorder the terms:

3 + 2c = -4 + 3c

Solving

3 + 2c = -4 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

3 + 2c + -3c = -4 + 3c + -3c

Combine like terms: 2c + -3c = -1c

3 + -1c = -4 + 3c + -3c

Combine like terms: 3c + -3c = 0

3 + -1c = -4 + 0

3 + -1c = -4

Add '-3' to each side of the equation.

3 + -3 + -1c = -4 + -3

Combine like terms: 3 + -3 = 0

0 + -1c = -4 + -3

-1c = -4 + -3

Combine like terms: -4 + -3 = -7

-1c = -7

Divide each side by '-1'.

c = 7

Simplifying

c = 7

3 0
3 years ago
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