Given: Triangle ABC with AB = 42 and BC = 20. Which of the following are possible lengths for AC?

Answer:

21.63 m

Step-by-step explanation:

Given :

Hypotenus = 42 m

Base = 36 m

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Height = √42²-36²

Height = √1764 - 1296

Height = √468

= 21.63 m

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

Answer:

-131

Step-by-step explanation:

Use -5 in place of x

f(x) = –2x^3+ 3x – 6

f(x) = -2*-5^3+3*5-6

Answer:

Your answer is C!

Answer:

47

Step-by-step explanation:

Answer:

80 degree is the measure of third angle

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can substitute the x value given, -3, into our equation, y = x^2, to get what the y would be:

y = x^2

y = (-3)^2

When a negative number is squared, it is positive, so (-3)^2 = 9, and:

y = 9

This is option b

Answer:

B) 9

Step-by-step explanation:

We are given the equation y = x^2 for the table, and a x value.

To find the y value that corresponds to that x value, we must plug the x value in the equation.

Y =x^2

Y= -3^2

Y=9

Answer:

No

Step-by-step explanation:

For example, 50% can be written as just 0.5

the answer is on the page it is a screenshot explaining how to do it

Answer:

6.28 cm

Step-by-step explanation:

Given,

Diameter = 2 cm

pi = 3.14

To find : Circumference ( circle ) = ?

Radius ( r )

= Diameter / 2

= 2 / 2

= 1 cm

Formula : -

Circumference ( circle ) = 2 pi r

2 pi 4

= 2 × 3.14 × 1

= 6.28 cm

Answer:

6.28

Step-by-step explanation:

radius= diameter/2

r=2/2=1

circumference formula=2[tex]\pi[/tex]r

[tex]\pi[/tex]=22/7 or 3.14

So,

2[tex]\pi[/tex]r= 2*3.14*1= 6.28

Answer:

$ 7

Step-by-step explanation:

To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.

$7.23 rounded to the nearest dollar = $7

Answer:

if two parallel lines are cut by a transversal, then alternate interior angles are congruent

Step-by-step explanation:

3x+2y=2------------1

-3x+5y=5-----------2

adding 1 and 2 we get

7y=7

y=1

and from (1),we get

3x+2×1=2

3x=0

x=0 is the required value of x.

We want to solve the given system of equations by using the addition method.

The solution is x = 0.

So we start with the system of equations:

3x + 2y = 2

-3x + 5y = 5

We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:

(3x + 2y) + (-3x + 5y) = 2 + 5

Now we simplify this to get:

7y = 7

Solving for y, we get:

y = 7/7 = 1

Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:

3x + 2*1  = 2

3*x = 2 - 2 = 0

x = 0

Then we can conclude that the value of x is 0.

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Answer:

B. 37.5 sq in

Step-by-step explanation:

sana po makatulong ☺️

Answer:

Step-by-step explanation: Let the original price of the bicycle be $x. If the original price was first discounted by 50% and then discounted an additional 10%, the total percentage discount will be 60%.

Step-by-step explanation:

Answer:

115°

Step-by-step explanation:

65 +65 = 130

360-130= 230

230÷2= 115

Therefore, the midpoint of segment AB is M (2, 3/2).

The midpoint formula is a method to determine the midpoint of a line segment.

To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:

midpoint x-coordinate = (x1 + x2)/2

midpoint x-coordinate = (-3 + 7)/2

midpoint x-coordinate = 4/2

midpoint x-coordinate = 2

Now, let's find the y-coordinate of M by applying the midpoint formula:

midpoint y-coordinate = (y1 + y2)/2

midpoint y-coordinate = (6 + (-3))/2

midpoint y-coordinate = 3/2

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Answer:

48 degrees

Step-by-step explanation:

inscribed angle is always equal to the measure of the arc

Answer:

area = b+h / lengthxwidth

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20

Answer:

Before Tax Price: $20.00

Sale Tax: 10.00% or $2.00

After Tax Price: $22.00

Step-by-step explanation:

Answer:

The answer is 45 degrees

Answer: x = 45°

Step-by-step explanation:

since the total angle of that corner is 90°, and one of the angle is 45°

Answer: 124

Step-by-step explanation:  7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.

Answer:

124

Step-by-step explanation:

Answer:

D, No trend or association

The values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively

The function is given as:

f(x) = 5^2x

For f(-1), we have x = -1

This gives

f(-1) = 5^(2 * -1)

f(-1) = 0.04

For f(0), we have x = 0

This gives

f(0) = 5^(2 * 0)

f(0) = 1

For f(2), we have x = 2

This gives

f(2) = 5^(2 * 2)

f(2) = 625

Hence, the values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively

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Answer:

1) Yes

2)No

3)Yes

Step-by-step explanation:

Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!

Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

To find given lengths form a right triangle or not.

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.

Thus, find out which set of lengths will form a right triangle:

9, 40, 41 will form a right triangle, because:

41² = 40² + 9²

1,681 = 1,681

Also, the rest set of lengths will not form a right triangle.

Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

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