Directions: Assume that each triangle shown below is a right triangle. The hypotenuse, or side C, is opposite the 900 ‘white box’ shown in the triangle. Determine the length of the third side of the right triangle using the Pythagorean theorem.

Answer:

[tex]\text{(C) }110^{\circ}[/tex]

Step-by-step explanation:

The angle marked [tex]110^{\circ}[/tex] and the angle marked by [tex]x[/tex] are vertical angles (on opposite sides of the intersection of two lines). All vertical angles are equal, therefore [tex]x=\boxed{\text{(C) }110^{\circ}}[/tex].

Answer:

g = 8

Step-by-step explanation:

32 g = 4 g squared if you move it over, so divide both sides by 1 g and you get 4g = 32, so g = 8

Answer:

g is 8

Step-by-step explanation:

Answer:

O = 41 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the graphic shows that this triangle has 2 equal sides. that means that both angles at O and at M are equal.

so, we know all three angles and can calculate

7y + 2×(4y - 15) = 180

7y + 8y - 30 = 180

15y = 210

y = 14

so, the angle at O is

O = 4×14 -15 = 56 - 15 = 41 degrees

Answer:

decimal = 1.20527

Step-by-step explanation:

[tex]\frac{a}{b} = (\frac{9}{7})^{-3} \div (\frac{3}{7})^1[/tex]

  [tex]=(\frac{7}{9})^3 \times \frac{7}{3}\\\\[/tex]

[tex](\frac{a}{b})^2 = ((\frac{7}{9})^3)^2 \times (\frac{7}{3})^2\\\\[/tex]

      [tex]= \frac{7^6 \times 7^2}{9^6 \times 3^2}\\\\= \frac{7^8}{9^6 \times 9}\\\\=\frac{7^8}{9^7}\\\\=\frac{7^7 \times 7}{9^7}\\\\= 7 \times \frac{7^7}{9^7}\\\\= 7 \times (\frac{7}{9})^7[/tex]

      [tex]=\frac{5764801}{4782969}[/tex]      

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

Answer:

Part A:

The inequality would be less than or equal to, since the temperature isn't greater than 6, but the phrase doesn't get rid of the possibility that it could be less than 6. Hope that makes sense!

Also, the inequality sign would be: ≤

Part B:

For the graph, you woulld plot a closed circle on the 6, with an arrow heading left.

Hope this helps!

Answer:

7.58

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.

I got this answer from Gauthmath and i think you should try it to.

hope this was the answer you were looking for.

Answer:

B

Step-by-step explanation:

All the angles in a rhombus are not always 90 degrees.

Hope that this helps!

Answer:

x=-3

Step-by-step explanation:

Answer:

g = [tex]-\frac{2x}{3} -1[/tex]

Step-by-step explanation:

Divide each term by -3 and simplify.

[tex]g(x)=\frac{2x}{-3} +\frac{3}{-3}[/tex]

[tex]g(x)=-\frac{2x}{3} -1[/tex]  

The negative sign has to go in the whole number position

3/ -3 = -1 so the addition sign no longer exist since 1 is negative

Answer:

Answer:

The integers could be 21 and 22

or -22 and -21

Step-by-step explanation:

If two integers are consecutive, then it means that their difference is just 1

if we have the initial value as x , then the other value could be x-1 or x + 1

let us go with x-1

So the product here is;

x(x-1) = 462

x^2-x = 462

x^2 -x -462 = 0

x^2 -22x + 21x - 462 = 0

x(x-22) + 21(x-22) = 0

(x + 21)(x-22) = 0

x = -21 or x = 22

If x = -21

x -1 = -21-1 = -22

if x = 22

x -1 = 22-1 = 21

Answer: average time in minutes that it will take to drive from campus to workplace

Step-by-step explanation:

The dependent variable refers to the variable that the researcher is testing or measuring in an experiment. Let's say for example, we want to know the impact of reading on the examination score of a student. In this case, the dependent variable will be the examination score of the student since that's what we're measuring.

With regards to the question, the dependent variable is average time in minutes that it will take to drive from campus to workplace.

Answer:

D. a line graph

Step-by-step explanation:

Answer:

6 and 7

Step-by-step explanation:

It is vertical angles (plural) - a pair of non-adjacent angles formed when two lines intersect. There are two pair of vertical angles with intersecting lines, they are across from each other.

Answer:

the answer is 3 and 7 third one

Answer:

a.0.25

b.15/100=3/20

c.17*100/40=1700/40=42.5%

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer: A quadrilateral with four interior acute angles

Step-by-step explanation:

If you add four angles for quadrilateral = 360 & acute angle is less than 90 degrees so it isn't possible.

Answer:

x = -6

Step-by-step explanation:

Answer:

A.) 4 x (y + 7)

Step-by-step explanation:

4 times means that you are going to be multiplying something by 4. It says 4 times the sum of y and 7. This means that you are going to multiply whatever y and 7 equal by 4. Sum means addition. So that's going to be that you are multiplying what the combined total of y and 7 is by 4.

I hope this helped :)

Answer:

See attachment

Step-by-step explanation:

Required

How much wood needed (i.e. the surface area)

The question is incomplete, as the net of the triangular prism is not given. So, I will answer with the attached net.

To calculate the surface area, we simply calculate the area of each face of the net.

The area of the net is as follows:

Area= 2 * Area of Triangle + 2 * Area of 2 Congruent Rectangles + Area of the third rectangle

So, we have:

[tex]Area = 2 * \frac{1}{2} * 6 * 5 + 2 * 8 * 7 + 8 * 6[/tex]

[tex]Area = 30 + 112 + 48[/tex]

[tex]Area = 190cm^2[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Think of this as a circle in a larger circle, and the area thats only taken by one circle is the area of the path.

One Circle has area 11.5, while the other has a area of 15.5

The area of the smaller circle is 11.5^2*pi or 132.25pi

The area of the larger circle is 15.5^2*pi or 240.25pi

The area of the path is 108pi or 339.12

Answer:

1.31

Step-by-step explanation:

= [tex]\frac{64}{56}[/tex]^2 x [tex]\frac{1}{2.92}[/tex]^3 x 2.48

= 1.31 x 0.40 x 2.48

= 0.524 x 2.48

= 1.31

:)

Answer was verified and rounded

Answer:

Step-by-step explanation:

In order to find the max height the ball reached, we have to complete the square on that quadratic. That will also, conveniently so, give us the number of seconds it will take the ball to reach that max height, that answer to part b. Let's begin to complete the square. Normally, you would move the constant over to the other side of the equals sign, but there is no constant here. The next step is to get the leading coefficient to be a 1, and ours right now is a -15. So we have to factor it out. Here's where we start the process of completing the square.

[tex]-15(t^2-\frac{20}{3}t)=0[/tex] Next step is to take half the linear term, square it, and add it to both sides. Our linear term is 20/3. Half of 20/3 is 20/6, and 20/6 squared is 400/36.

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0+???[/tex] Because this is an equation, what we add to the left side also has to be added to the right. BUT we didn't just add in 400/36, because we have that -15 out front as a multiplier that refuses to be ignored. What we actually added in was -15(400/36):

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0-\frac{500}{3}[/tex]

The reason we do this is to create a perfect square binomial on the left which will serve as the number of seconds, h, in the vertex (h, k), where h is the number of seconds it takes the ball to reach its max height, k. Simplifying both sides then gives us:

[tex]-15(t-\frac{20}{6})^2=-\frac{500}{3}[/tex] Finally, we will move the right side over by the left and set the quadratic back equal to h(t):

[tex]h(t)=-15(t^2-\frac{20}{3})^2+\frac{500}{3}[/tex] and from that you can determine that the vertex is [tex](\frac{20}{3},\frac{500}{3})[/tex].

The answer to a. is vound in the second number of our vertex: k, the max height. The max of the golf ball was 500/3 feet or 166 2/3 feet.

Part b is found in the first number of the vertex: h, the number of seconds it took the golf ball to reach that max height. The time it took was 3 1/3 seconds.

Part c. is to state the domain (the time) and the range (the height) of the ball.

Domain is

D: {x | 0 ≤ x ≤ 3 1/3} and

Range is

R: {y | 0 ≤ y ≤ 166 2/3}

Answer:

Respuesta. a la sucesión porque no cumple con la regla general.

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

$5.50*8= $44

$44*5= $220

Hope it helps!