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love history [14]
3 years ago
13

Find The length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14

feet. Leave your answer as a simplified radical.
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

a = 8√2

Step-by-step explanation:

a² + b² = c²

a² +14² = 18²

a² + 196 = 324

Subtract 196 from both side

a² = 128

Take the square root of both sides

a = √128

a = √(64 * 2)

a = 8√2

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The average number of points you scored in the first 9 basketball games of the season was 23. What do you need in the 10th game
Vlada [557]

Answer:

B. 10n-207

Step-by-step explanation:

Given,

The average number of points of 9 games = 23,

∵ Sum of observations = their average × number of observations

So, the total points for 9 games = 9 × 23 = 207,

Now, if the average of 10 games is n,

Then the total points for 10 games = 10n,

Hence, the number of points earned in 10th game = the total points for 10 games - the total points for 9 games

= 10n - 207

i.e. OPTION B is correct.

3 0
3 years ago
On a piece of paper, graph y>-2x-2. Then determine which answer choice matches the graph you drew.
Svetlanka [38]

Answer:

Graph B

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Read 2 more answers
The area of a rectangular plank is 4500 cm². The plank was broken into two pieces, one of which is a square and the other a rect
svp [43]

Answer:

Xs=30cm and As=900 cm^{2}

Step-by-step explanation:

At=As+Ar; A=b.h and At=4500 cm^{2}, then:  At=(x+120)x so

(x+120)x=4500, x^{2} +120x-4500=0 Applying cuadratic equation formula:\frac{120+-\sqrt{120^{2} -4.1.-4500} }{2} =-\frac{120+-\sqrt{14400+18000} }{2}= x1=30 and x2=-150, finally Xs=30cm, and As=900cm^{2}

3 0
3 years ago
Read 2 more answers
Store A sells lawnmower fuel for $4.00 per gallon. Store B sells containers of fuel for $4.00 each. The cost of fuel at either s
Anika [276]

Answer:

$8.00 your welcome

7 0
3 years ago
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Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value
sineoko [7]

The value of the logarithmic expression  \log _a (\frac{x^3y}{z^4} ) is 24.

Given the following logarithmic expressions \log _ax = 3, \log _ay = 7, \log _az = -2 , we are to find the value of \log _a (\frac{x^3y}{z^4} )

from the above \log _ax = 3, x = a^3

\log _ay = 7, y = a^7

Substituting x = a^3, y = a^7  and z = a^{-2} into the log function\log _a (\frac{x^3y}{z^4} )  we will have;

\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>
  • In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
  • Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0
1 year ago
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