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Veronika [31]
3 years ago
6

1 A notebook costs $4.30 plus sales tax. If Lila paid $4.58 for her new notebook, how much was the sales tax rate? A 5.5% B 6.5%

C 6% D 7%​
Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer:

B 6.5%

Step-by-step explanation:

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A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0
3 years ago
There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the rec
Vsevolod [243]

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

3 0
3 years ago
9. If the area of square 1 is 250 units?, and the area of square 3 is
Aleks [24]

Answer:

185 units.

Step-by-step explanation:

So first, I subtracted: 250 - 120 = 130

I divided 130 by 2. I got 65.

I subtracted 65 from 250 and I got 185.

Proof it is correct:

185 - 120 = 65

AND

250 - 185 = 65

--

5 0
3 years ago
Car A travels 185 miles in 8 hours. Car B travels
svetoff [14.1K]
Car B because 334 divided by 5= 41 mph
8 0
3 years ago
Find the equation of a line that runs through
MAVERICK [17]

Answer:

The equation of a line that runs through  (-6,2) and is parallel to a line with a slope of (-1/4)     is  x + 4y  - 2 = 0

Step-by-step explanation:

Slope of the parallel  equation is m 1 = (-1/4)

<em>If the two liner are parallel the, slope of both lines are equal.</em>

⇒The slope of the equation of line = m2  = m1  = -(1/4)

The point (x0, y0)  = (-6,2)

Now, by THE POINT SLOPE FORMULA:  The equation of a line is given as

( y - y0)  =  m (x -x0)

Now, here the equation of line is given as:

y - 2 = (\frac{-1}{4}) (x - (-6))   \implies  4(y-2) = -1(x + 6)

or, 4y - 8 + x + 6 = 0

or, x + 4y  - 2 = 0

Hence, the required line equation is  x + 4y  - 2 = 0

7 0
3 years ago
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