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Alla [95]
3 years ago
14

Solve for X ...........

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

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Ms. Lado can type 76 words every minute. Ms. Priya can type 65 words every minute. ​How many more words can Ms. Lado type than M
kondor19780726 [428]

Answer:

935 words

Step-by-step explanation:

76*85=6460

65*85=5525

6460-5525=935

5 0
4 years ago
Read 2 more answers
A waffle cone has a height of 10 centimeters and a diameter of 6 centimeters. To the nearest tenth of a cubic centimeter, approx
salantis [7]

Answer:

94.2 cm^3.

Step-by-step explanation:

Volume of a cone = 1/3πr^2h

The radius of the cone = 1/2 * 6 = 3

So here the volume is:

1/3 * π *  3^2 * 10

= 94.247

3 0
3 years ago
The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has
gizmo_the_mogwai [7]

Answer:

F(x) = -3(x + 2)² - 2

Step-by-step explanation:

In the picture attached, the graph is shown.

F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2

8 0
4 years ago
According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean
mrs_skeptik [129]

Answer:

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean

The minimum value that is within 3 standard deviations of the mean is 96.57.

The maximum value that is within 3 standard deviations of the mean is 100.11.

Step-by-step explanation:

Chebyshev's theorem states that a minimum of 89% of the values lie within 3 standard deviation of the mean.

So

Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the​ mean?

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean.

What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the​ mean?

We have that the mean \mu is 98.34 and the standard deviation \sigma is 0.59. So:

Minimum

Mi = \mu - 3\sigma = 98.34 - 3(0.59) = 96.57

Maximum

Ma = \mu + 3\sigma = 98.34 + 3(0.59) = 100.11

8 0
3 years ago
Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step
vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

F.

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

G.

12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

H.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

J.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0
3 years ago
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