Si uno de los ángulos de un triángulo rectángulo mide 37 grados y el lado opuesto mide 60 cm cuánto debe morir el cateto opuesto ?

Answer: 68 1/18

Step-by-step explanation:

Area of the large rectangle:

11 1/3 x 7 = 79 1/3

Area of tiled floor:

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/18

Answer:

68 1/18

Step-by-step explanation:

7 x 11 1/3 = 79 1/3

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/8

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Answer: 130.8 on acellus

Step-by-step explanation:

Answer:

The answer is 7(tan 50°)

Step-by-step explanation:

So first you need to find which formula you will be using to do this you need to find if you're talking about the hypotenuse, opposite, or adjacent.

The side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

The side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

There are 3 formulas:

sin A = Opposite side/Hypotenuse = BC/AB

cos A = Adjacent side/Hypotenuse = AC/AB

tan A = Opposite side/Adjacent side = BC/AC

There is one formula that has Opposite and Adjacent which is tangent so thats the formula you'll use  

Next you plug in the values that you have so your formula will look like this:

Tan 50° = x/7

A will always be where you plug in the angle and then you plug in the information according to what side it is  

Every time that x is the numerator you will just multiply both sides by the denominator which gives you:

7(tan 50°)

Which is your answer :))

Answer:

tangent 50 degrees over 7

Step-by-step explanation: Got it right on the test

Answer:

Its c i just did the math

Step-by-step explanation:

Answer:

D  2^2 x 5 x 7

Step-by-step explanation:

140 -> 7 and 20

7 is prime

20 -> 5 and 4

5 is prime

4 -> 2 and 2

2 is prime

Answer:

I'm always right B-) SHEESH

Answer:

C! I remember this hehehehe xD

Answer:

I can't really see the question. Maybe the below will help anyway

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Answer:

A)  14.2 years     B)  23.84 years

Step-by-step explanation:

 A = P( 1 + r/n)^nt      P = 2500  A = 2P = 5000   r = 0.05  n = 1   FInd t

                                                   A = 8000     Find t

I used a financial calculator to find this

t = 14.2 years

A = P( 1 + r)^t

A/P = ( 1 + r)^t

5000/2500 = (1.05)^t

 2 = 1.05^t        I don't remember how to solve this for t

8000/2500 = 1.05^t         t = 23.84      according to the fin calculator

Answer:

{5}

Step-by-step explanation:

Set of counting numbers:

Set of numbers you count with, starting from 1. So

C = {1,2,3,4,5,....}

Proper subset of a set:

A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.

In this question:

The set of counting numbers is C = {1,2,3,4,5,....}

Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.

Answer:

20

Step-by-step explanation:

its is 20 for both because the 0 and 20 are the same.

Answer:

C. 4.5 inches

Step-by-step explanation:

Given the following data;

Force, F = 10 pounds

Extension, e = 3 inches

First of all, we would determine the spring constant (k) using the following formula;

Force = spring constant * extension

10 = spring constant * 3

Spring constant = 10/3

Spring constant = 3.33 pounds per inches.

Next, we would find the extension of the spring when a force of 15 pounds is applied;

F = ke

15 = 3.33 * e

Extension, e = 15/3.33

Extension, e = 4.5 inches.

This question is incomplete, the complete question is;

If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answer:

Each person lost $25

Step-by-step explanation:

Given the data in the question;

Number people that invested = 8

Amount each invested = $500

worth after a year the collection = $3,800

Now, the amount each person lost will be;

[tex]Lost_{each-person[/tex] = Total loss / total number of persons

[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8

[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8

[tex]Lost_{each-person[/tex] = 200 / 8

[tex]Lost_{each-person[/tex] = 25

Therefore, each person lost $25

Answer:

Median = 13.5

Mean = 12.5

Step-by-step explanation:

9514 1404 393

Answer:

  (p, h) = (32, 11)

Step-by-step explanation:

We can write an expression for p using the first equation, then substitute that into the second equation.

  4.5(43-h) +12h = 276 . . . . substitute for p

  193.5 +7.5h = 276 . . . . . . eliminate parentheses

  7.5h = 82.5 . . . . . . . . . . . . subtract 193.5

  h = 82.5/7.5 = 11 . . . . . . . . divide by the coefficient of h

  p = 43 -11 = 32

The solution is (p, h) = (32, 11).

Answer:

5, 3

Step-by-step explanation:

1,-1  enlarged by 4

New coordinates = 4 + 1 = 5

-1 + 4 = 3

The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.

The scale factor is defined as the ratio of modified change in length to

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3

Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

Learn more about Scale factors here:

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Answer:

Jdjdkdjdjdjdjfjfjdjfjdkdjdjdjdjdjdjdjfjjff

Answer:

tenths

Step-by-step explanation:

0.2 is two tenths

so twotenths

Answer:

tenths

Step-by-step explanation:

from the decimal it would go

.tenths hundreds thousands

Answer:

See attachment for plots

Step-by-step explanation:

Given

The attached equations and points

Required

Plot the graph for each

[tex](a)\ y = x + 3[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

[tex]y =x +3[/tex]

[tex]y =-2 +3 =1[/tex] ------ [tex](-2,1)[/tex]

[tex]y =0 +3 =3[/tex] ---- [tex](0,3)[/tex]

[tex]y =2 +3 =5[/tex] ----- [tex](2,5)[/tex]

[tex](b)\ y = \frac{1}{2}x - 2[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

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

[tex]y = \frac{1}{2}*-2 - 2= -3[/tex] ------ [tex](-2,-3)[/tex]

[tex]y = \frac{1}{2}*0 - 2= -2[/tex] ---- [tex](0,-2)[/tex]

[tex]y = \frac{1}{2}*2 - 2= -1[/tex] ----- [tex](2,-1)[/tex]

See attachment for both plot

Answer:

the 1st one

Step-by-step explanation:

The graph A satisfy the condition. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The graph has the maximum value at 3 and the minimum value at –9.

In the graph A, the curve start from the minimum of negative 9 and reaches to the maximum value of 3.

Then the graph A satisfy the condition.

Then the correct option is A.

More about the maximum and minimum value of the function link is given below.

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Answer:

56

Step-by-step explanation:

Answer:

0.56 or 56

Step-by-step explanation:

3.92/0.07 is 56 if you wanted to place it in decimal for you would have to move the decimal point 2 places over to get a decimal.

We can see here that the choice that describes the slope is: D. None of the choices are correct.

In mathematics, slope refers to the measure of the steepness or incline of a line. It quantifies how much a line rises or falls as it moves horizontally from one point to another. Slope is often denoted by the letter "m" and can be calculated using the formula:

slope (m) = (change in y-coordinates) / (change in x-coordinates)

Slope is a fundamental concept in algebra and geometry and has various applications. It helps in determining the direction, steepness, rate of change, and relationships between variables. Slope is used in analyzing lines, calculating rates, graphing linear equations, finding equations of lines, and solving many real-life problems involving lines and gradients.

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Answer:

6

Step-by-step explanation:

the values that meet this requirement, 18 ≤ x < 30, are:

18, 18, 21, 24, 25, 29

Answer:

Its D

Step-by-step explanation:

Given, they are supplementry

hence their sum is 180 degree

now, 2x+5+3x-10=180

or, 5x-5=180

or, 5x=185

or, x=185÷5

or, x=37

Then, here we have measures of angle k is

3×37-19

=101

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]