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3 years ago

Based on the diagram, which is a true statement?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

7 0

Answer:

top god's menu back door distract 9 call scars double knot thunderous gone away gone day SKZ ALL AROUND THE WORLD

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aleksley [76]

Answer:

1.55 feet.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle R = 24°

Hypothenus = RS = 3.8 feet

Opposite = ST = x

The value of x can be obtained by using the sine ratio. This is illustrated below:

Sine R = Opposite / Hypothenus

Sine 24 = x / 3.8

Cross multiply

x = 3.8 × Sine 24

x = 3.8 × 0.4067

x = 1.55 feet

Thus, the Lenght ST is 1.55 feet.

3 0

3 years ago

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

Finger [1]

Answer:

P(X = 0) = 0.0176

P(X = 1) = 0.2348

P(X = 2) = 0.7476

Step-by-step explanation:

Because there are 2 mechanical components you have 3 differents scenarios:

1. The 2 components dont meet the specification (X = 0)

2. 1 of the 2 component doesnt meet the specification (X = 1)

3. The 2 components meet the specification. (X = 2)

P(A) = 0.89

The probability that A doesnt meet the specification is 1- P(A) = 0.11

P(B) = 0.84

The probability that A doesnt meet the specification is 1- P(B) = 0.16

Then using those probabilities to determine the probabilities of each scenario you get:

1. The 2 components dont meet the specification

P (X = 0) = (1 - P(A)) * (1- P(B))

P (X = 0) = 0.11 * 0.16 = 0.0176

2. 1 of the 2 component doesnt meet the specification (X = 1)

P (X = 1) = P(A)*(1- P(B)) + P(B)*(1 - P(A)) /// (The probability that A meets specification and B doesnt or B that meets specification and A doesnt)

P (X = 1) = 0.89*0.16 + 0.84*0.11 = 0.2348

3. The 2 components meet the specification. (X = 2)

P(X = 2) = 0.89*0.84 = 0.7476

7 0

3 years ago

See the picture below

nika2105 [10]

Answer:

Surface Area = 66.4 square centimeters

Volume = 31.52 cubic centimeters

Surface Area = 113.1 square centimeters

Volume = 113.1 cubic centimeters

Step-by-step explanation:

Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height

Where base is 4 and height is 6.3

Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4

And area of square which is base^2 = 4 ^ 2 = 16

Surface Area = 50.4 + 16 = 66.4 square centimeters

Volume of Pyramid is 1/3 * area of base * height

To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.

Now we can use pythagorean theorem to find height:

height ^ 2 + 2 ^ 2 = 6.3 ^ 2

height^2 + 4 = 39.69

height^2 = 39.69 - 4

height^2 = 35.69

height = 5.97

Now, Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters

Surface area of sphere is given by:

Surface Area of Sphere = $4\pi r^2$

radius, r, is given as 3, so

Surface Area of Sphere = $4\pi(3)^2=113.1$ square centimeter

Volume of Sphere is given by $\frac{4}{3}\pi r^3$

We know radius is 3, so

Volume of Sphere = $\frac{4}{3}\pi (3)^3= 113.1$ cubic centimeters

*they are the same

4 0

3 years ago

Can someone please help me on the second on please thanks:)

eimsori [14]

Since she spent $9.72 and deposited $9.72 her bank balance did not change at all. She basically paid off how much she spent on lunch on Wednesday.

7 0

3 years ago

Read 2 more answers

7. (3 pt) What is the distance between points (−2, 8) and (6, −2)? Round to the nearest tenth of a unit.

inysia [295]

The Exact answer is 12.80625, Rounded to the tenth is 12.8

8 0

3 years ago