What is the surface area of the square pyramid?

3,456 m²

9,984 m²

1,296 m²

2,160 m²

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

Answer:

Don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Step-by-step explanation:

Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:

[tex]A = w\cdot l[/tex] (1)

[tex]p = 2\cdot (w+l)[/tex] (2)

Donde:

[tex]A[/tex] - Área, en metros cuadrados.

[tex]p[/tex] - Perímetro, en metros.

[tex]w[/tex] - Ancho, en metros.

[tex]l[/tex] - Longitud, en metros.

Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):

[tex]w = \frac{p}{2}-l[/tex]

Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:

[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]

[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)

A continuación, obtenemos la primera y segunda derivada de (3):

[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)

[tex]A'' = -2[/tex] (5)

Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:

[tex]\frac{p}{2}-2\cdot l = 0[/tex]

[tex]2\cdot l = \frac{p}{2}[/tex]

[tex]l = \frac{p}{4}[/tex]

Por (5), sabemos que ese valor crítico está asociado al área máxima.

Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:

[tex]l = 25\,m[/tex]

Ahora, tenemos el ancho de la figura por (2):

[tex]w = \frac{p}{2}-l[/tex]

[tex]w = 25\,m[/tex]

En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

Answer: the answer is 5/24

Step-by-step explanation:

If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3

Hope this helps ^^

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

Answer:

Step-by-step explanation:

pls mark brainliest if correct :)

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

(-2, 5), 6, 12

Step-by-step explanation:

Center: (-2, 5)

Radius: 6

Diameter: 12

Answer:

325 hot dogs were eaten during the contest.

Step-by-step explanation:

Just add all the hot dogs together. Wow, it's a lot though. :)

Step-by-step explanation:

the lebgth to form the right angle is e9

Answer: 6.5

Step-by-step explanation:

1 (to the power of 5) is 1 and 5 (to the power of 2) is 25.

25 (to the power of 0) is 1 and 5 (to the power of 1) is 5.

1 + 25 = 26 and 1 - 5 = -4.

Since the slash means division in math and any number to the power of 0 is always 1.

The answer would be: -6.5.

The solution for the expression  [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex] after simplifying is,

[tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)} = \frac{- 13}{2}[/tex]

We have to give that,

The expression to simplify is,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Simplify the expression by simplifying each term in a given fraction,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Since,

1⁵ = 1

5² = 5 × 5

= 25

25⁰ = 25

5¹ = 5

Substitute all the values,

⇒ [tex]\frac{(1 + 25)}{(1 - 5)}[/tex]

⇒ [tex]\frac{26}{-4}[/tex]

⇒ [tex]\frac{-26}{4}[/tex]

Simplify the fraction in simplest form,

⇒ [tex]\frac{- 13}{2}[/tex]

Hence, The solution is, - 13/2

To learn more about the fraction visit:

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Answer:

W = 6.75

L = 20.25

Step-by-step explanation:

2(w + 3w) = 54

8w = 54

w = 6.75

L = 20.25

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

Answer:b, c, a

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex] of the flowers are red

[tex]\frac{1}{3}[/tex] of the flowers are white

to get the white flowers, add the two fraction and subtract them from 1

fraction of white flowers

Part- B

Fraction of flower red or Pink

[tex]\Rightarrow \dfrac{3}{8}+\dfrac{1}{3}=\dfrac{17}{24}[/tex]

Part-C

fraction of flowers that are white

[tex]\Rightarrow 1-\dfrac{3}{8}-\dfrac{1}{3}\\\\\Rightarrow 1-\dfrac{9+8}{24}\\\\\Rightarrow 1-\dfrac{17}{24}=\dfrac{7}{24}[/tex]

Answer:

dogs = 2

cats = 80

Step-by-step explanation:

Here I will assume that cats and dogs are proportional

c = y d, if you substitue, you get

10 = y 4, which rearranged, becomes

y = 10/4 = 2.5

now that we know y, we can work out x and y, the missing dogs and cats

4 = 2.5 d

here, dogs = 2

c = 2.5 * 32

2.5 * 32 = 80

here, cats = 80

Answer:

Answer should be 5/2 I thinkkkkk

Answer:

2.5 or can be 5/2

Step-by-step explanation:

Answer:

The percentage change (an increase) wa 40%.

Step-by-step explanation:

The beginning number of acres was 100; adding 40 more brought that to 140 acres.  This was an increase.  Dividing the increase (40) by the starting value (100) yields 0.40.  Finally, multiplying this result by 100% yields 40%.

The percentage change (an increase) wa 40%.

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

Answer:

1/2

Step-by-step explanation:

In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.

The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.

The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.

Thus the correct option is A, B and C.

To know more about ratio, visit;

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Your question is incomplete most probably your full question was:

what ratio below is not equivalent to the ratio 10:35

A. 3:5

B. 2:4

C. 1:3

D. 2:7

Answer:

3x-x+2=4

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

vertical sides  are congruent

x+30=101

x=71

Answer:

4x10=40

34x10=340

40+340+3= 383

Step-by-step explanation:

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 = (-1) * (-3)

So, Now we can write

[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]