Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros cúbicos ¿cuánto debe medir la arista de la bodega?

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

Step-by-step explanation:

Given

5y + 68 = 3y + 96 (vertically opposite angles) and

3x + 18 = 5x + 2 (vertically opposite angles)

Now solve for x.

[tex]3x + 18 = 5x + 2 \\ 3x + 18 - 5x = 2 \\ - 2x + 18 = 2 \\ - 2x = 2 - 18 \\ - 2x = - 16 \\ x = - 16 \div - 2 \\ = 8[/tex]

Now Solve for y.

[tex]5y + 68 = 3y + 96 \\ 5y + 68 - 3y = 96 \\ 2y + 68 = 96 \\ 2y = 96 - 68 \\ 2y = 28 \\ y = 14[/tex]

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Answer:

The second one

Step-by-step explanation:

A visual for law of sines can be found below

Sin (an angles) over its opposite side length is equal to sin ( a different angle) over its opposite side length

In the given triangle we are given side length BC and side length AB

we are also given AB's opposite angle  (40)

And we need to find side length BC's opposite angle (A)

That being said we are given enough information to set up an equation using the law of sines

Remember angle A's opposite side length is 16 and the angle that has a measure of 40 degrees' opposite side length is 12

so the equation would look like...

[tex]\frac{sin(40)}{12} =\frac{sin(A)}{16}[/tex]

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

Answer:

1.41

Step-by-step explanation:

8.47÷6 = 1.4116

Answer:

129

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360, so you add 71+112+48 and subtract it from 360 to get x

Answer:

-3/4

Step-by-step explanation:

The slope is -3/4

The line goes down three and four left.  

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

Answer:

y=40x-30

Step-by-step explanation:

Answer:

1. We want to write an equation in the form:

Ix - bI ≤ c

Such that the solutions are the range  −1 ≤ x ≤ 3

First, the extremes of the range are: - 1 and 3

Half of the difference between these values is:

m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2

Now let's go to the lower extreme, and add this value, we get:

-1 + m = -1 + 2 = 1

(if we go to the upper value and we subtract m, we get the same)

This is the mid-value of the solution interval, and we will define it as M

We now can write the absolute value inequality as:

I x - MI ≤ m

In our case, we get:

Ix - 1I ≤ 2

2.

Now we want to have the solution set given by:

x ≤ -9

x ≥ -5

In this case, we will have an equation of the form:

Ix - MI ≥ m

(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).

So let's do the same than in the above case:

m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2

M = -9 + 2 = -7

Replacing these in the absolute value inequality we got:

Ix - (-7)I ≥ 2

Ix + 7I ≥ 2

Answer:

18.73 feets

Step-by-step explanation:

Given that:

Horizontal distance between ground and foot of flagpole = 7 feets

Lenght of wire = 20 feets

The height of the flagpole, h can be obtained using Pythagoras :

Adjacent = sqrt( hypotenus² - opposite²)

Height of flagpole = sqrt((length of wire)² - (horizontal distance between ground and flagpole)²)

Let height of flagpole = h

h = sqrt(20² - 7²)

h = sqrt(400 - 49)

h = sqrt(351)

h = 18.73 feets

x = 5/2 or x = 1/3

C is the answer.

Answer:

x = 5/2 or x = 1/3

Step-by-step explanation:

Simplify  

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Substitute the values  a = 6 ,  b = − 17 , and  c = 5  into the quadratic formula and solve for  x .

17 ±sqrt(-17)^2-4*(6*5)

_________________

2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 ,  1 /3

Answer:

If figures are similar, corresponding sides have same ratio.

Side IJ x is corresponding with QR, and side HK with PS:

Ratio of corresponding sides:

Answer:

B

Step-by-step explanation:

Because my teacher gave us the answer.

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

[tex]y=11[/tex]

The predicted value at [tex]x=17[/tex] is 11.

The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = [tex]3.8-11[/tex]

Residual = [tex]-7.2[/tex]

Therefore, the residual for the given point is -7.2.

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

49.41

Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom +   left side + square root of right side squared.

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)

Answer:

75.51%

Step-by-step explanation:

hopefully this helps

x/100 = 74/98

98x = 7,400

x = 7,400/98

× = 75.51 % of 98

Answer: 1/2 times 6x equals 3x  and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]

[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]

[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]

[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]

[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{= \dfrac{40}{1}}[/tex]

[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

7x - 16y = -224

Step-by-step explanation:

Standard Form:

Ax + By = C

y= 7/16x+14

-7/16x + y = 14  

(Multiply everything by 16)

-7x + 16y = 224

(Multiply everything by -1)

7x - 16y = -224

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

Answer:

63°

Step-by-step explanation:

First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.

Knowing this we can then subtract

90° - 27° = 63°

Answer:

63

Step-by-step explanation:

The measure of a right angle is always 90 so

90-27=63