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Reptile [31]
2 years ago
9

12. Given a right triangle with the length

Mathematics
1 answer:
faltersainse [42]2 years ago
6 0

Answer:

G. 12 cm

Step-by-step explanation:

Length of one leg of right triangle = a = 9 cm

Length of hypotenuse = c = 15 cm

Length of the other leg = b = ?

Applying pythagorean theorem, c² = a² + b², we have:

15² = 9² + b²

15² - 9² = b²

144 = b²

b = √144

b = 12

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A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to r
r-ruslan [8.4K]

Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

Total rental cost(Company A)=Cost per day+Total rate

where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

Equating equation 1 to equation 2

70+0.5 m=20+0.6 m

0.6 m-0.5 m=70-20

0.1 m=50

m=50/0.1

m=500 miles

The rental cost for Company A and Company B will be the same after 500 miles

7 0
3 years ago
PLEASE SOLVE 20 POINTS
Soloha48 [4]

Answer:

1. Not possible. The slope of such a line is undefined. Its equation is x=7.

2. y = 3x -2

3. The slope is undefined. (The line is a vertical line.)

Step-by-step explanation:

1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.

In slope-intercept form, the equation would be useless:

... y = (undefined)x + (no such value)

If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:

... x = 7

2. The slope of the perpendicular line is the negative reciprocal of this:

... m = -1/(-1/3) = 3

In point-slope form, the equation of the perpendicular line through the given point is ...

... y = 3(x -2) +4

... y = 3x -2 . . . . . . . . simplified to slope-intercept form

3. The slope is computed from ...

... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined

The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...

... x = -1

_____

* If your point is really (77, 88), then the line has equation x = 77.

8 0
3 years ago
Read 2 more answers
Sin xy\xkhi ( x , y )->(0, 3)
MakcuM [25]

Answer:

sin xy / x = 0

Step-by-step explanation:

thay x = 0 và y = 3 vào sin xy / x ta có:

sin (0*3) / 0 = sin (0) = 0

8 0
2 years ago
5- One month Selena made 4 withdrawals for $ 20and 2 withdrawals for $ 80 from her account .Howdid the withdrawals change the am
notsponge [240]

Answer: total withdrawal: 80+ 160= 240

Step-by-step explanation:

She withdrawl from her bank acount for 4 times for 20 dollars means that you multiply 20 with 4= 80 and she also made two withdrawal for 80 so you take 80 mutiply by 2= 160 plus all together is the total amount of withdrawal that she took from the bank

6 0
3 years ago
−1/3−(−1/2)
Radda [10]

Hi ;-)

-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}

6 0
2 years ago
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