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3 years ago

14

A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train?

1 answer:

Ivenika [448]3 years ago

8 0

Speed of the train : distance traveled / time of the travel = 10.1/(0.5)=20.2 mph

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What is 78/780 in simplest form

Irina18 [472]

0.1 or 1/10 is in simplest form

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3 years ago

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The measure of an inscribed angle in a circle is ______ the measure of the intercepted arc.

xxMikexx [17]

C. Half

<u>Explanation:</u>

An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.

Inscribed angles that intercept the same arc are congruent.

An image is inserted for your reference.

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3 years ago

A= x^2 -30x+225 The polynomial represents the area (in square feet) of the square playground. a. Write a polynomial that represe

Setler [38]

Answer:

a) The polynomial is equivalent to $A = (x-15)^{2}$ , and the side length of the playground is $x -15$ feet.

b) The perimeter of the playground, measured in feet, is $p = 4\cdot (x-15)$ .

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If $A = x^{2}-30\cdot x +225$ is the area of the square, then must be a perfect square trinomial, that is:

$(x-a)^{2} = x^{2}-2\cdot a\cdot x + a^{2}$ (1)

Then, we must observe the following properties:

$-2\cdot a = -30$ (2)

$a = 15$

$a^{2} = 225$ (3)

$a = 15$

Therefore, the polynomial is equivalent to $A = (x-15)^{2}$ , and the side length of the playground is $x -15$ feet.

b) The perimeter of a square equals four times the side length. That is:

$p = 4\cdot (x-15)$

The perimeter of the playground, measured in feet, is $p = 4\cdot (x-15)$ .

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3 years ago

I need help with this problem ASAP!

Karo-lina-s [1.5K]

Form a right angle triangle joining both given points to the origin, we get:

Perpendicular = 2 ( distance is always positive)

Base = 4 ( same logic)

Applying Pythagorus theorem

Hypotenuse = root of ( perpendicular squared + base squared)

Hypotenuse = root of 20 = 2 * root 5

Using x instead of theta

Sin x = perpendicular/hypotenuse

Cos x = base/hypotenuse

Sin x = -1/ root 5

Cos x = -2/ root 5

High probability of this answer being wrong.

Double check recommended.

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3 years ago

Will MARK BRAINLIEST!!! Jason invests $8,264 in an account that earns an annual interest rate of 4%. What will be the balance of

alexdok [17]

Answer:

Its the last choice

Step-by-step explanation:

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3 years ago