A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Hypotenuse (x) of the right triangle = [tex] \sqrt{7² \: + \: 11²} [/tex]

Hypotenuse (x) of the right triangle = [tex] \sqrt{49 \: + \: 121} [/tex]

Hypotenuse (x) of the right triangle = [tex] \sqrt{170} [/tex]

Hypotenuse (x) of the right triangle = 13

The hypotenuse (x) of the right triangle is 13 m.

Answer:14m+9=23

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

[tex] \dfrac{ \sqrt{3} }{4} {a}^{2} [/tex]

where,

=》

[tex] \dfrac{ \sqrt{3} }{4} \times 8 \times 8[/tex]

=》

[tex] \sqrt{3} \times 16[/tex]

=》

[tex]16 \sqrt{3} \: \: \: cm {}^{2} [/tex]

or

=》

[tex]27.71 \: \: cm {}^{2} [/tex]

Answer:

i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal.  Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

rearrange them first add 48 to both sides of equations. simplify them 104 = 8y y=-13

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{y}{BC}[/tex]

BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° = [tex]\frac{y}{BC+CD}[/tex]

tan(15)° = [tex]\frac{y}{BC+40}[/tex]

BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]

BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)

From equation (1) and (2),

[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]

[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]

[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.

Answer:

6 gallons and 2 pints

Thank for posting the pic, it makes sense now!

Answer:

The positions can be filled in 2730 ways

Step-by-step explanation:

The number of all posible ways is equal to the number of possibilities of who can become the manager, times the number of possibilities of who can become the associate manager, times the number of possibilities of who can become the assistant manager.

Now...

The number of possibilities of who can become the associate manager = 15

The number of possibilities of who can become the associate manager = 14

(it decrease by one because one person already got the position of manager)

The number of possibilities of who can become the assistant manager = 13

(based on the same logic as for the number of who can become the associate manager)

So now we know the number of ways equals...

15 x 14 x 13 = 2730  

Answer: 1/4

Step-by-step explanation:

In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.

Answer:

$35.00

Step-by-step explanation:

Add the exacted prices of the five books together.

5.99 + 6.00 + 6.45 + 7.75 + 7.99 = 34.18

The number closest to 34.18 on the list of choices is 35.00.

Have a nice day :)

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

2a=a+10+44°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

2a-a=54°

a=54°

.so

exterior angle=2×54°=108°is your answer

Answer: 5 (4x + 7)

Step-by-step explanation:Wouldn't it be 5(4x+7). So I guess the sign it's looking for is an addition symbol.

Answer:

x= 25.5 not rounded x=25.51393657

Step-by-step explanation:

Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.

tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5

Answer:

f=A%27(-0.25%2C0.75)%5C%5C%5C%5CB%27(1.75%2C-0.25)%5C%5C%5C%5CC%27(-1%2C-0.25)

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case you know that the triangle ABC was dilated by this scale factor:

With the origin as the center of dilation.

Since:

It is a Reduction.

You can identify that the vertices of the triangle ABC are:

So you need to multiply the coordinates of each vertex  of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get:

Answer:

25 units^2

Step-by-step explanation:

Answer:

3.5 qt or 3 qt and 2c

Step-by-step explanation:

4 cups makes 1 quart

14/4 = 3.5

Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D

Answer:

The answer to this question is 65

Answer:

65°

Step-by-step explanation:

180-50

=130

130/2

=65°

the other side is also 65 ° because this is an isosceles triangle.

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]

If this helped you a Brainliest would be appreciated!

Answer:

0.75

Step-by-step explanation:

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

Answer:

48p^2 +4p-4

Step-by-step explanation:

Use Foil Method

First: 8p*6p=48p^2

Outsides: 8p*2=16p

Insides: -2*6p=-12p

Lasts: -2* 2=-4

simplify:

48p^2 +16p - 12p -4

ANSWER 48p^2 +4p-4

Have a great day!

Answer:

Therefore the answer is

[tex]48p^{2} + 4p - 4[/tex]

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

Answer:

4)it has infinitely many solutions

Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

Y = 8000/1000= 8

Y= 8*20

Y= 160