A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14
4
1
​
start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1
​
start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

Answer:

y = 3x - 1

Step-by-step explanation:

→ Substitute x = 1 into all the equations to get y = 2

y = 3x - 1 ⇔ ( 3 × 1 ) - 1 = 2

Answer:

D

Step-by-step explanation:

You can answer this question without even worrying about slope if you know how the y-intercept should be. The y-intercept is where the line crosses the y-axis(the vertical line with the y label in case that needs to be explained.) With that alone, you can determine that the y-intercept is -1 and thus the answer is D. For the slope, try to find a point on the line that is on the grid (A good one is (0,-1) ). Then move from that point to the next point where two of the lines meet like (1,2). Slope is rise/run so you go 3 up and 1 to the right for 3/1 which equals 3.

Answer:

1. 6.96500 kilogramos

2. 3.95 kilogramos

Answer:

s=0

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1) / x2-x1)

   -1 = (s-6)/(-3 - -9)

   -1 = (s-6)/(-3 +9)

   -1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0

Answer:

[tex] \large\sf \: s = 0[/tex]

Value of s is 0.

Step-by-step explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

Answer:

[tex]\bar x = 3.0[/tex]

Step-by-step explanation:

Given

[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]

Required

The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]

[tex]\bar x = \frac{15.0}{5}[/tex]

[tex]\bar x = 3.0[/tex]

Answer:

When  x =  -2     P  ( -2 ;  5)

When   x = -1       Q  (  -1 ; 2)

When   x  = 0       R  ( 0 ;  1)

Step-by-step explanation:

y =  x²  +  1

When    x  =  -2

y  =  ( -2)²  + 1        y  =  5     point  P  ( -2 ;  5)

When  x  =  -  1

y  =  (  -1)² + 1         y  =  2     point  Q  ( -1 ; 2 )

When x   =  0

y  =  (0)²  +  1         y  =  1      point   R  (  0 ;  1 )

Answer:

Step-by-step explanation:

Answer: same distance but different side

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

8.00 +(0.06x) = 18.27

0.08x = 18.27 - 6.00

0.08x = 12.56

12.56/0.08=

157

Answer:

Y= (4, -5)

Step-by-step explanation:

________________

Z corresponds to D

W corresponds to A and

X correspondents to B

rotate it in your mind

from D to C gives you a good clue where to place Y.

4,-5 is correct

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Answer:

No

Step-by-step explanation:

The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Answer:

Step-by-step explanation:

Though the difference is the same, the original value is different. Therefore they are not the same.

Percentage increase from  50 to 70

                                                 [tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]

Percentage decrease from 70 to 50

                                                 [tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]

Answer:

The answer is D because when you plug in 0 for the x value, you get positive 2

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

Read more about leading coefficient at:

https://brainly.com/question/19624646

#SPJ6

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

Step-by-step explanation:

the answer is in the above image

Step-by-step explanation:

eso es cierto y correcto por supuesto, es tan obvio

Answer:

-12

hope this helps!

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Answer:

A) 1x 9^6

B) 1 x (2/3)^4

C) 1 x 4.5^6

hope that helps!

add me as a friend if you can:)

Answer:

A.  [tex]9^{6}[/tex]

B. [tex](\frac{2}{3} )^{4}[/tex]

C. [tex]4.5^{6}[/tex]

Step-by-step explanation:

- the 1 in the front dosn't matter since 1 times "number" is going to be that number

A. There are six 9's multiplying by each eachother

B. There are four (2/3)'s multiplying by each eachother

C. There are six 4.5's multiplying by each eachother

Answer:

I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Step-by-step explanation:

a)

[tex](3x-4y+2z)^2\\=9x^2+16y^2+4z^2+2.3.(-4)xy+2.3.2xz+2.(-4).2yz\\=9x^2+16y^2+4z^2-24xy+12xz-16yz[/tex]

b)

[tex](4a+1)^3\\= 64a^3+3.(4a)^2.1+3.4a.1^2+1\\=64a^3+48a^2+12a+1\\[/tex]

Answer:

1/6

Step-by-step explanation:

6^-2  / 6^-1

We know that a^b / a^c = a^(b-c)

6^(-2 - -1) = 6^(-2+1) = 6^-1

We know that a^-b = 1/a^b

1 /6^1 = 1/6

Answer:

1/6

Step-by-step explanation:

When dividing by exponents, you need to subtract the exponent from top to bottom. Ex: 5^3/5^2=5^1 which is just one, because you subtract 3 and two. In this case, 6^-2 / 6^-1 gets us 6^-1 which is the same thing as 1/6^1. Because remember, a^-x = 1/a^x.

Hope this helps!

:)

Answer:

C

Step-by-step explanation:

Let find the measure of the angle supplementary to Angle 1.

[tex] \frac{123 + 84}{2} = 103.5[/tex]

Angle 1 is supplementary to that angle so

[tex]103.5 + x = 180[/tex]

[tex]x = 76.5[/tex]

Answer:

angle 3 = 79 degree

Step-by-step explanation:

given:

angle 1 = 98 degree

angle 2 : 19 degree

angle 3 =?

angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)

19 + angle 3 = 98

angle 3 = 98 - 19

angle 3 = 79 degree