MATHEMATICS HIGH SCHOOL

Round 40.8534 by one decimal point

Answers

Answer 1

Answer:

Answer:

40.9

Step-by-step explanation:

if you rounded to 2 decimal places the answer would be:

40.83.

because the second number after the decimal is 5 or more, we have to round upwards.

this brings us to 40.9 which has 1 decimal place.

Answer 2

Answer:

Answer:

40.9

Step-by-step explanation:

8 is beside 5 which is a large number so you add 1 to 8

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The measure of two complementary angles are represented by x+5 and 4x - 15 find the value of x
-10n + 3(8+8n)=-6(n-4)
A car travels 180 miles in 3 hours, which is a rate
Solve equation: –6 + 3x = –9
Prove that 1 - cosx / sinx = sinx / 1 + cosx how?

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.

Answers

$d=160-25t$

Step-by-step explanation:

Let $d$ be the distance between Kayden and safe zone at any time.

It is given that initially $d=160$

Lrt her speed be $v$

Since the speed is constant,the distance covered by her in $t$ seconds= $v* t$

So,the distance between her and safe zone after $t$ seconds is $160-vt$

It is given that after $3$ seconds, $d=85$

So, $160-3v=85$

$3v=75$

$v=25$

So, $d=160-3t$

Answer:

y=-25x+160

Step-by-step explanation:

In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five times the measure of the smallest angle equals the sum of the measures of the other two angles. Find the measures of the three angles.

Answers

Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees

Final answer:

To solve the problem, we apply the properties of a triangle and make a system of linear equations. Setting up appropriate mathematical expressions for angles and solving the equation gives the angles as 30, 80 and 70 degrees.

Explanation:

This problem involves angles in a triangle and can be solved through linear equations. We know from the problem that the largest angle is 20 degrees more than twice the smallest angle, and 5 times the smallest angle equals the sum of the measures of the other two angles.

Let's denote the smallest angle as x. Thus the largest angle becomes 2x + 20.
The third angle, due to the property that the sum of angles in a triangle equals 180, would be 180 - x - (2x + 20).
You can insert the expression of the third angle into the second equation from problem statement, which gives: 5x = x + 2x + 20. Solving this equation gives x = 30.
Therefore, the angles are: 30 degrees, 2*30 + 20 = 80 degrees and 180 - 30 - 80 = 70 degrees.

Solution verification:

The sum of all angles is indeed 180 degrees.
The largest angle is indeed 20 degrees more than twice the smallest one.
Five times the smallest angle is indeed equal to the sum of the two other angles.

Learn more about Triangle Angles here:

brainly.com/question/36906039

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A football is kicked toward the goal. The height of the ball is modeled by the function h(x) = -16t^2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?A. x = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground

B. x = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

C. x = 4; it takes 4 seconds to reach the maximum height and 4 seconds to fall back to the ground

D. x = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground

Answers

We will solve the equation: $-16 x^(2) +64t=0$
t(-16 t + 64 )=0, t1=0,
-16t+64=0, 16 t = 64, t2=4
This is a square function ( graph : parabola ) with the zeroes: t1=0 and t2=4.
The axis of symmetry is x=2. It takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground (Answer: A).

Answer:

Step-by-step explanation:

How many Times greater is the value of 3 in 300 then the value of the 3 in 300

Answers

Simple division:

300/3 = 100.

30/3 = 10.

100/10=10

Therefore the answer is 10.

a square rotated about its center by 360° maps on to itself at (1, 2, 3, or 4) different angles of rotation.

Answers

A square rotated around its center maps onto itself every 90° of rotation.
If you rotate it a full 360°, then that happens 4 times.

Answer: no rotation because only reflections through the center of a square can map it onto itself

Which equation can be used to represent six added to twice the sum of a number and four is equal to one-half of the difference of three and the number?

Answers

six added to twice the sum of a number and four is equal to one-half of the difference of thee and the number.

Let x be the number.

6 + 2(x + 4) = 1/2 * (3-x)

Find the value of x.

6 + 2x + 8 = 3/2 - x/2
2x + x/2 = 3/2 - 8 - 6
2x + x/2 = 3/2 - 14
2(2x + x/2) = 2(3/2 - 14)
4x + x = 3 - 28
5x = -25
x = -25/5
x = -5

To check: x = -5

6 + 2(x + 4) = 1/2 * (3-x)

6 + 2(-5+4) = 1/2 * (3 - (-5))
6 + 2 (-1) = 1/2 * (3 + 5)
6 - 2 = 1/2 (8)
4 = 4

Answer: Opion A

(A) 6 + 2(X + 4)= 1/2(3-X) <=========+ 100 %

Step-by-step explanation:

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