Triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.



a2+b2=c282+172=15264+289=225353 ≠ 225



What mistake did Sofia make?




Sofia made a calculation error.


Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.


Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.


Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.

Answer:

x = 58

Step-by-step explanation:

that is a 90 degree angle - 32 degrees = 58 degrees

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

Answer:

its c

Step-by-step explanation:

Answer:

22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.

SHOW ANSWER

Step-by-step explanation:

Answer:

The last answer choice

Step-by-step explanation:

22.407 < 22.416

Answer:

3.5

Step-by-step explanation:

3.5 + 3.5 = 7

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

Hey there!

The answer is 13 boys and 16 girls.

We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:

(x + 3) + x = 29

NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:

x + 3 + x = 29

Add like terms:

2x + 3 = 29

Subtract 3 from both sides:

2x = 26

Divide both sides by 2:

x = 13

Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.

Have a terrificly amazing day! :D

Answer:

Answer:

-35π/18 radians

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Honestly when I did the math I got closest to b so I think it's B hope his helps

Answer:

B

Step-by-step explanation:

3(d+2)-12d-2

3d+6-12d-2

3d+6-12-2

3d+4-12d= -9+4

Answer:

the answer is y^3+11y^2+22y-6

Answer:

y³ + 11y² + 22y - 6

Step-by-step explanation:

(y + 3)(y² + 8y - 2)

y(y² + 8y - 2)+ 3(y² + 8y - 2)

y³ + 8y² - 2y + 3y² + 24y - 6

y³ + 11y² + 22y - 6

Answer:

2262 in³

Step-by-step explanation:

Given that:

Height, h = 20 inches

Radius, r = 6 inches

Volume of a cylinder is given as :

V = πr²h

V = π * 6² * 20

V = π * 36 * 20

V = 2261.9467 in³

Hence, Nicholas pot can hold about 2262 in³ of soup

Answer:

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.

Step-by-step explanation:

Answer:23

Step-by-step explanation:

Answer:

1. =−2

2.

3.

4. a=1

5. x=-1/2

6. x=4.2

Step-by-step explanation:

Answer:

75+3x=180

Step-by-step explanation:

Answer:

75 + 3x = 180

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

45 + 30 + 3x = 180

75 + 3x = 180

Answer:

J

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Let number of pages=x

60% of x=114

x=114×100/60=190

pages left=190-114=76

Answer:

c

Step-by-step explanation:

Answer:

5. 2=1+1

6. 0= -3*0

7.2=3*0+2

Answer:

The rhombus because is the same shape

Answer:

Well, seems this'll be a long answer... *ahem*

So, the properties of a Kite are that they have

-Two pairs of consecutive sides

-No opposite sides

-Perpendicular diagonals

-One set of equal angles

The properties of a Trapezoid are that

-It has exactly 1 pair of opposite sides parallel

-It has congruent lower base angles

-Congruent upper base angles (both of these apply only if isosceles)

-Any lower base angle is supplementary to any upper base angle (applies to all)

The properties of a Square are that it has:

-Parallel opposite sides

-Congruent opposite sides

-Congruent opposite angles

-Bisecting diagonals

-Congruent diagonals

-Perpendicular diagonals

-All sides are congruent

-Consecutive angles are supplementary

-Contains four right angles

The properties of a Parallelogram are

-Parallel opposite sides

-Congruent opposite sides

-Congruent opposite angles

-Bisecting diagonals

-Consecutive angles are supplementary

The properties of a Rectangle are

-Consecutive angles are supplementary

-Contains four right angles

-Has all the properties of a parallelogram

The properties of a Rhombus are

-Has all the properties of a parallelogram

-Four sides are equal in length

-Diagonals are perpendicular

-Diagonals bisect each pair of opposite angles

Step-by-step explanation:

Hope you have a wonderful day, and also that this helped! (Even though I know it's quite long) :D

Answer:

x = 27

Step-by-step explanation:

Hello There!

The first thing we want to do is find the measure of arc AD

remember the circumference of a circle in degrees is 360

so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360

360 - 112 - 97 = 151

so arc AD = 151

now to find x

if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc

For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)

Now what we want to do is plug in the known information and solve for angle B

∠B = 1/2 ( 151 - 97 )

151 - 97 =54

54/2=27

so we can conclude that x = 27

Answer:

3, -3

Step-by-step explanation:

3 has an absolute value of 3 because it is 3 units away from zero.

-3 has an absolute value of 3 because it is 3 units away from zero.

I hope this helps!!

Answer:H

Step-by-step explanation:

The distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.

An arc is a smooth curve that joins two endpoints. The arc is mostly referred to as a part of the circle.

As it is given that the length of the hand of the clock is 10 cm, and the movement of the hand of the clock is from 12 to 3 therefore, the movement is about 90°.

Now, if we see the movement of the hand of the clock it will be along the arc of the circle, therefore, the length of the arc with a radius of 10 cm and angle of 90° can be written as,

[tex]\text{Length of the arc} = 2\pi r \times \dfrac{\theta}{360^o}[/tex]

                            [tex]= 2 \times \pi \times 10 \times\dfrac{90}{360}\\\\= 2 \times \pi \times 10 \times\dfrac{1}{4}\\\\= 15.7143\rm\ cm[/tex]

Hence, the distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.

Learn more about Arc:

https://brainly.com/question/14732475

Answer:

y=6/7x

Step-by-step explanation:

You need to find the slope.  The rise is 18 and the run is 21.  18/21 simplifies to 6/7

Answer: [tex]\dfrac{14}{10}\ kg[/tex]

Step-by-step explanation:

Given

Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar

If henry added the two amounts, the net weight of the two is

[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]

Answer:

Joe's present age = 36 years

Vika's present age = 20 years

Step-by-step explanation:

Let us represent the present age of

Joe = x

Vika = y

Joe's age exceeds by Vika's age by 16 years.

x = y + 16...... Equation 1

Four years ago, Joe was twice as old as Vika.

x - 4 = 2(y - 4)

x - 4 = 2y - 8........ Equation 2

We substitute y + 16 for x

y + 16 - 4 = 2y - 8

Collect like terms

16 - 4 + 8 = 2y - y

y = 20 years

We solve for x

x = y + 16...... Equation 1

x = 20 + 16

x = 36 years

Therefore, Joe's present age = 36 years

Vika's present age = 20 years