Pedrito gastó la cuarta parte de su propina en golosinas, las dos quintas partes en juegos y la octava parte se la regaló a su hermano menor. ¿Qué fracción de su propina todavía le queda?

Answer:

C. sides of 3, 4 and 7

can't form a triangle.

the longest side (7) must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

Answer:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

The required value of the measure of the angle x is 108°. Option A is correct.

The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.

The angle can be defined as the one line inclined over another line.

A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.

Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°

Thus, the required value of the measure of the angle x is 108°.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

4 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The additive inverse is the value that must be added to the number to give zero.

- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0

           ↑ additive inverse

Answer:

Quadrant IV

Step-by-step explanation:

On the graph, the x-axis numbers are positive and the y-axis numbers are negative

Answer:

74.5

Step-by-step explanation:

Answer:

7/12 < 2/3 < 17/24 < 3/4

Step-by-step explanation:

least to greatest

Answer:

lateral area = pi x radius x slant height

slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50

3.14 x 30 x 50 = 4710m^3

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

3.15 ft

Step-by-step explanation:      

                                                                                              V

Volume of a cylinder:  πr²h.  Solving for r², we get r² = ---------

                                                                                             πh

Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or

1.58 ft, so that the diameter is 2r, or 3.15 ft

The diameter of the base of the cylinder is 3.15 ft.

Answer:

8.375

Step-by-step explanation:

5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75

8.25 + 8.5 = 16.75

16.75/2 = 8.375

Answer:

-2

Step-by-step explanation:

-6(x-8)=60

x-8=60/-6

x-8=-10

x=-10+8

x=-2

Answer:

10.53

Step-by-step explanation:

Given :

Height of building = 17m

John's eye level = 2 m

Total height (including eye level) = 17+2 = 19m

Angle of depression, θ = 61°

Let distance between John's friend and building = d

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 61° = 19 / d

1.8040477 = 19 / d

d = 19 / 1.8040477

d = 10.53

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

Answer:

1331 ft³

Step-by-step explanation:

The volume of a cube = (edge length)³

From the above question,

Edge length = 11 ft

The volume of the cube = (11 ft)³

= (11 ft × 11 ft × 11 ft)

= 1331 ft³

The volume of the cube = 1331 ft³

Answer:

25 degrees

Step-by-step explanation:

Haha, awesome! Just did a problem like this!

All angles add up to 180, so set it up like this:

2x + 1 + 5x + 5 + 90 = 18

Combine like terms.

7x + 96 = 180

7x = 84

x = 12

Plug x back into 2x + 1

2(12) + 1

24 + 1

= 25 degrees

While we're at it...

5(12) + 5

60 + 5

= 65 degrees (for the other angle)

25 + 65 + 90 = 180

Math checks out & we're good to go!

Hope this helped. :) <3

Answer:

$1.59

Step-by-step explanation:

monthly finance charge = average daily balance x monthly interest

monthly interest = 14,99% / 12 = 1.249%

1.249% x $127.50 = $1.59

126=12%+44%+16%=72%

175/100=1.75

1.75*72=126

so there was 175 people in the server

Answer:A.

Step-by-step explanation:

add the numbers together

23.8 + 12.1 + -17.6+ 31.3 = 49.6

then divide by number of numbers(4)

49.6/4=12.4

Answer:

100%

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

But here are some "multiples of 30 degrees:"

60, 90, 120, 180, 150, and so on.  Start with "30 degrees" and multiply that by various positive integers:  2, 3, 4, 6, 5, and so on, to obtain "multiples of 30 degrees."

Answer: It’s UNBIASED!

Step-by-step explanation:

Answer:

Both cultures will have the same population after 11 hours.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A culture of 100 bacteria grows at a continuous rate of 20%.

This means that [tex]P(0) = 100, r = 0.2[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{1}(t) = 100(1+0.2)^t[/tex]

[tex]P_{1}(t) = 100(1.2)^t[/tex]

The other culture starts to hours later, and we want to take that time as a parameter. So

[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]

Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:

[tex]P_{1}(t) = 144(1.2)^t[/tex]

Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.

This means that [tex]P(0) = 60, r = 0.3[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{2}(t) = 60(1+0.3)^t[/tex]

[tex]P_{2}(t) = 60(1.3)^t[/tex]

After how many hours do both cultures have the same population?

This is t for which:

[tex]P_{1}(t) = P_{2}(t)[/tex]

So

[tex]144(1.2)^t = 60(1.3)^t[/tex]

[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]

[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]

[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]

[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]

[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]

[tex]t = 11[/tex]

Both cultures will have the same population after 11 hours.

Answer: I got this answer from the internet hopefully this helps

Resultant force will act on 65° N of W.

Step-by-step explanation:

The direction of the resulting force upon the piling, to the nearest degree is gotten as; A = 60°

As given in the question one bulldozer exerts force of 1850 pounds in western direction and another pushes with a force of 3250 pounds in northern direction.

Now, we have to find angle A which is an angle between 1850 pounds of force and resultant force F.

Thus;

tan A= Force on North direction/ Force on west direction

tan A = 3250/1850

tan A = 1.7568

A = tan⁻¹1.7568

A = 60.35°

To the nearest degree is A = 60°

Read more about resultant force direction at; https://brainly.com/question/14626208

Answer:

x = 31

Step-by-step explanation:

The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].

Vertex N matches up with vertex Y.

Vertex P matches up with vertex Z.

Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.

Corresponding sides are in proportion.  To find the proportion between the two triangles, you use known sides from each.

[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.

To find  x , notice that it is side NO which corresponds to side YO from the large triangle.

Answer:

hope this helps you.......

Step-by-step explanation:

sorry for the bad picture

hope it helps you

have a good day

Answer:

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

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

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

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