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2 years ago

The price of a wallet is $31.95 and the sales tax is 7.5%.

Mathematics

1 answer:

Musya8 [376]2 years ago

8 0

Answer:

34.35

Step-by-step explanation:

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Find Z.............

Arada [10]

Answer:

x = 40 degrees

Step-by-step explanation:

We are given that AB and CD are parallel to each other and they are cut by a transversal.

The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.

Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.

Angle z = 40 degrees

5 0

2 years ago

What is the equation of the circle with center (1, -1) that passes through the point (5, 7)?

Inessa [10]

Answer:

Equation of the circle =

80 = ( x - 1)^2 + (y + 1)^2

Step-by-step explanation:

Center = (1 , -1)

Point = ( 5 , 7)

Eqn of a circle is

r^2 = (x - h)^2 + (y - k)^2

We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r

Using the center (1, -1)

h - 1

k - -1

r^2 = (x - 1)^2 + ( y - -1)^2

r^2 = (x - 1)^2 + (y + 1)^2

With the point ( 5,7)

x = 5

y = 7

r^2 = ( 5 - 1)^2 + ( 7 + 1)^2

= 4^2 + 8^2

= 16 + 64

= 80

r^2 = 80

r = square root of 80

r = 8.94

The r = 8.94 , which means the equation of the circle is

80 = (x - 1)^2 + ( y + 1)^2

5 0

2 years ago

Can someone please help me with this

BARSIC [14]

I’m not 100% but my best guess is 20.

3 0

3 years ago

I will give 13 points to whoever answers this

Lady_Fox [76]

It’s square of pie because the lines don’t match up to you

4 0

2 years ago

I geologist note is that the land alone at fault line moved 24.8 cm over the past 175 years on average how much did the land mor

zmey [24]

First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

$\frac{24.8\ cm}{175\ years}$

To find the distance per year, we'll need to find the unit rate of this ratio in terms of years. The word unit refers to the number 1 (coming from the Latin root uni- ); a unit rate involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

$\frac{24.8\ cm}{175\ years}\div \frac{175}{175} \approx 
\frac{0.14\ cm}{1\ year}$

We have our answer: approximately 0.14 cm or 1.4 mm per year

3 0

2 years ago