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k0ka [10]
3 years ago
15

Find the value of The X

Mathematics
1 answer:
Volgvan3 years ago
6 0

Hi there!

\large\boxed{x = 3.6}

We can use the Pythagorean theorem to solve, where:

CT² = CP² + PT²

Thus:

CT² = 5² + 7²

CT² = 74

CT = √74 = 8.60

To solve for x, we must subtract the radius from CT to solve:

x = CT - 5

8.6 - 5 = 3.6

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The measure of angle 1 is 102°.<br><br> What is the measure of angle 2?
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

∠1 & ∠2 are co interior angles. co interior angles are supplementary.

∠1 + ∠2 = 180

102 + ∠2 = 180

        ∠2 = 180 - 102

       ∠2 = 78°

6 0
2 years ago
A psychologist thinks that listening to Mozart helps people think. She gives subjects a set of puzzles and measure how many they
BigorU [14]

Answer: 0.8

Step-by-step explanation:

Let's assume that 5 puzzles were solved in 5mins. That is, 1min for each puzzle to be solved.

From our assumption, our sample size will be 5.

The probability that a subject will solve more than 1 puzzle will be number of occurrence from 2 to 5 which is 4.

This gives: 4/5 = 0.8 to one decimal place.

4 0
4 years ago
(6,-13);y=2/9x- 5 write it in slope-intercept form
Amiraneli [1.4K]

Answer:

y=2/9x-14.33

Step-by-step explanation:

y=2/9x- 5

then y=2/9x+b

enter points (6,-13)

-13=12/9+b

-13-12/9=b

-14.33=b

y=2/9x-14.33

8 0
3 years ago
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6\text { m}6 m6, space, m lon
iren [92.7K]

First aquarium dimensions:

Length = 6 m.

Width = 4 m and

Height = 2 meter.

Second aquarium dimensions:

Length = 8 m.

Width = 9 m and

Height = 3 meter.

We know formula for volume of a cuboidal box = Length*Width*Height.

Plugging values of length, width and height of first aquarium in formula of volume. We get

V1 = 6*4*2 = 48 m^3.

Plugging values of length, width and height of second aquarium in formula of volume. We get

V2 = 8*9*3 = 216 m^3.

In order to find the total cubic meters of space do the sea turtles have in their habitat, we need to add both volumes.

Therefore, Total voulme of both aquarium = V1 +V2 = 48+216 = 264 m^3.

Therefore, total 264 m^3 cubic meters of space the sea turtles have in their habitat.

8 0
3 years ago
Choose the definition for the function. <br> Please help me!!!
Zina [86]

Answer:

The answer is B

Step-by-step explanation:

1)

These are in Y = MX + B form

The first line has a positive slope, so the coefficient "M" is positive.

The second line has a negative slope, so the coefficient "M" is negative.

2)

The first line has a filled in dot at Y = 2.

Since it's to the left (less than X direction)...

X <= 0

The second has an empty circle at Y = 4.

Since the line goes to the right....

0 < X

3)

Also, the "+2" and the "+4" in the equation as the "+ B" indicates where each line will cross the Y axis.

From these things, we can infer that B is the correct answer.

8 0
3 years ago
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