MATHEMATICS HIGH SCHOOL

During which stage of engine operation does the burning mixture of air and fuel force the piston downward? A. Compression
B. Ignition
C. Power
D. Exhaust

Answers

Answer 1
Answer: the answer would be B

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. Convert 5π/3 to degrees
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Solve the system of equations 3x+2y=14 2x-4y=4

Answers

3x + 2y = 14....multiply by 2
2x - 4y = 4
----------------
6x + 4y = 28 (result of multiplying by 2)
2x - 4y = 4
----------------add
8x = 32
x = 32/8
x = 4

2x - 4y = 4
2(4) - 4y = 4
8 - 4y = 4
-4y = 4 - 8
-4y = -4
y = -4/-4
y = 1

solution is (4,1)

The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. find the measure of the angle.

Answers

The measure of the angle is 50°.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Complementary Angle

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let's assume that the angle is x.

The supplementary angle of x is (180°-x).

The complementary angle of x is (90°-x).

According to the question,

(180°-x) =  4(90°-x)-30°,

(180°-x) =  4(90°-x)-30°

180 - x =  360 - 4x - 30

4x - x = 360 - 30 -180

3x = 150

x = 50°

Hence, the measure of the angle is 50°.

Learn more about Supplementary and Complementary angles:

brainly.com/question/3027144

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.Polygon ABCD is________ to create parallelogram A′B′C′D′.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Polygon ABCD is________ to create parallelogram A″B″C″D″.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Answers

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

Given that

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

According to the question

1. Polygon ABCD is________ to create parallelogram A′B′C′D′.

The quadrilateral ABCD draws the counterclockwise rotation of 270 degrees centered at the origin.

Suppose point A is attached to the arrow in red from the center (0,0). The arrow is now moved 270 counterclockwise. the new position of A marked A'. A' will also be "on" the axis as A was or is "on" the axis.  

Rotation of 270 degrees on Coordinate Axes

Centered at origin

(x, y) → (y, -x )

(2, 3) → (3, -2)

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

2. Polygon ABCD is________ to create parallelogram A″B″C″D″.

Rotation of 90 degrees on Coordinate Axes

(3, -2) -> (2, 3)

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

To know more about Rotation click the link given below.

brainly.com/question/3511113
Parallelogram ABCD is reflected across the x-axis to create parallelogram A'B'C'D'. Parallelogram A'B'C'D' maintains the same distance from the x-axis for all points. Parallelogram ABCD has positive x-values and positive y-values, and parallelogram A'B'C'D' has positive x-values and negative y-values, which also define this transition.

Parallelogram ABCD has positive x-values and positive y-values. Parallelogram A''B''C''D'' has negative x-values and positive y-values. If we look at point B in both parallelograms, point B in ABCD is located at point (2,3), and point B in A''B''C''D'' is located at point (-3, 2). This means that parallelogram A'B'C'D' was rotated about the origin 270 degrees clockwise, or 90 degrees counter-clockwise, due to the flipping of x and y values and the change in the x-value's sign.

Which of the following best represents the average rate at which a person can quickly walk?3 steps per hours

3 steps per second

30 steps per minute

30 steps per second

Answers

B. 3 steps per second

Answer:

B. 3 steps per second

Step-by-step explanation:

Fill in the common equivalents. 1.) 66 2/3%
= ?/?

Answers

well 66 is 66 and 2/3 is 66.6 repeating so 66 

A box is x inches high, (2x + 3) inches wide, and (2x + 5) inches long. In terms of x, what is the volume (V) of the box?A) V = 4x3 + 15x


B) V = 4x3 + 4x2 + 5x


C) V = 4x3 + 4x2 + 15x


D) V = 4x3 + 16x2 + 15x

Answers

V = lwh
V = x(2x + 3)(2x + 5)
V = x(2x(2x + 5) + 3(2x + 5))
V = x(2x(2x) + 2x(5) + 3(2x) + 3(5))
V = x(4x² + 10x + 6x + 15)
V = x(4x² + 16x + 15)
V = x(4x²) + x(16x) + x(15)
V = 4x³ + 16x² + 15c

The answer is D.
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