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3 years ago

If a dart were thrown randomly at the dart board shown below, what is the

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer: A. 31%

Step-by-step explanation:

First you need to find the area within each circle. This can be found by using the formula: pi * r^2

The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.

196 * pi = 615.75216

64 * pi = 201.06193

Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.

615.75216 / 201.06913 = 3.06239

3.06239 rounds up to 3.1

Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.

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Solve the equation. 2 ( 4z - 1) = 3(z+2) Z=

sveta [45]

Answer:

$z = \frac{8}{5}$

Step-by-step explanation:

Calculate for the value of $z$ :

$2(4z - 1) = 3(z + 2)$

-Use Distributive Property on both left and right:

$2(4z - 1) = 3(z + 2)$

$8z - 2 = 3z + 6$

-Take $3z$ and subtract $8z$ :

$8z - 3z - 2 = 3z - 3z + 6$

$5z - 2 = 6$

-Add $2$ to both sides:

$5z - 2 + 2 = 6 + 2$

$5z = 8$

-Take $5z$ and divide on both sides:

$\frac{5z}{5} = \frac{8}{5}$

$z = \frac{8}{5}$

Therefore, the value of $z$ is $\frac{8}{5}$ .

4 0

4 years ago

Nendndnfbffjfjfjfjfjf

Whitepunk [10]

Answer:

a or c would be your answer hope this helps

Step-by-step explanation:

3 0

3 years ago

Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane conta

Alexandra [31]

Answer: (b) exactly one plane contains a given line and a point not on the line.

Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).