While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?

Answer:

Step-by-step explanation:

FromHello, Volent strawberry is here to help!

Answer: 15.0 yd2

I hope this helps!

Bye have a nice day!

From: Miko

Answer:

1. Multiply the two legs of the triangle

  3 x 10 = 30

2. Divide that number by 2

  30 / 2 = 15

The area of the triangle is 15 yd2

x-x

Answer:

Hello there! I believe b or d

Answer: 5x 5y

Step-by-step explanation: because of the length

Answer:

Step-by-step explanation:

1:30

Answer:

c=-1

Step-by-step explanation:

Multiply both sides by 4

[tex]\frac{-11c-35}{4}\cdot \:4=4c\cdot \:4-2\cdot \:4[/tex]

Simplify

[tex]-11c-35=16c-8[/tex]

Add 35 to both sides

[tex]-11c-16c=16c+27-16c[/tex]

Simplify

-27c=27

Divide both sides by 27

[tex]\frac{-27c}{-27}=\frac{27}{-27}[/tex]

Simplify

c= -1

mark brainliest please!

Answer:

125 ft/hr

Step-by-step explanation:

dx/dt = (800-300)/(6-2) = 500/4 = 125

Answer:

55%.

Step-by-step explanation:

1) the final percentage can be calculated if $124 is x% and 80 is 100%. Then

2)   [tex]\frac{80}{100} =\frac{124}{x}; \ = > \ x=\frac{124*5}{4}=155 \%[/tex]

3) the required increase is:

155-100=55%

Answer: hii

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hopefully this helps you

- Matthew

Answer:

1/4

Step-by-step explanation:

Using points (0 ; 1) and (4 ; 2)

m= y2-y1 / x2-x1

= 2-1 /4-0

= 1/4

The gradient of the blue line is, 1/4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the blue line are (3, -3) and (3, -6).

Now,

Since, The equation of line passes through the points (4, 2) and (8, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 2) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The gradient of the blue line is, 1/4

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Answer:

you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.

Step-by-step explanation:

Answer:

the answer is in the picture

Answer:

  x = 26

Step-by-step explanation:

The length marked x is the hypotenuse of a right triangle with legs 10 and 24. The Pythagorean theorem can be used to find the value of x.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

  x² = 10² +24²

  x² = 100 +576 = 676 . . . . simplify

  x = √676 . . . . . . . take the square root

  x = 26

Answer:

The hypotenuse is 26 units

Step-by-step explanation:

Step 1:  Determine the value of x

Pythagorean theorem:  [tex]a^2 + b^2 = c^2[/tex]

[tex](24)^2+(10)^2=c^2[/tex]

[tex]576 + 100 = c^2[/tex]

[tex]676 = c^2[/tex]

[tex]26 = c[/tex]

Answer: The hypotenuse is 26 units

The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²

Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw

Given the following:

Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)

Area of the composite figure = 58.5 ft²

Learn more about the area of a composite figure on:

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Answer:

x = -7, y = -3 yup you did it right!

Step-by-step explanation:

Solve the following system:

{-2 y + x = -1 | (equation 1)

8 y - 5 x = 11 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

x - 2 y = -1 | (equation 2)

Add 1/5 × (equation 1) to equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - (2 y)/5 = 6/5 | (equation 2)

Multiply equation 2 by 5/2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{-(5 x) + 8 y = 11 | (equation 1)

0 x + y = -3 | (equation 2)

Subtract 8 × (equation 2) from equation 1:

{-(5 x) + 0 y = 35 | (equation 1)

0 x + y = -3 | (equation 2)

Divide equation 1 by -5:

{x + 0 y = -7 | (equation 1)

0 x + y = -3 | (equation 2)

Collect results:

Answer: {x = -7, y = -3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Volume of a cube can be represented as :} [/tex]

[tex] \textsf{And the side length is given as a} [/tex]

[tex] \textsf{So, volume of the given cube is :} [/tex]

Answer:

the square root of 120

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=13^2

a^2+49=169

a^2=120

a= the square root of 120

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

The three positive numbers whose sum is 27 will be 14, 1, and 12.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

Suppose the three positive numbers are x, y and z.

If the summation of numbers is 27.

⇒ x + y + z = 27 --- (1)

⇒ z = 27 - x - y

Suppose the square sum of the number be S.

∴ S = x² + y² + z²

⇒ S = x²+ y² + (27 - x - y)² --- (2)

We will optimize the function, partially differentiating it with respect to x and y, and setting dS/dx = 0 to get the minimum value of S.

2x + 2(27- x - y)(-1) = 0

2x - 54 + 2x + 2y = 0

4x + 2y - 54 = 0

y = 27 - 2x --- (3)

Differentiate partially with respect to y as

2y + 2(27 - x - y)(-1) = 0

2y - 54 + 2x + 2y = 0

4y + 2x - 54 = 0

x = 54 - 2y --- (4)

Substitute the value of y = 27 - 2x in the equation (4),

x = 12 - 2(27 - 2x)

x = 12 - 54 + 4x

4x - x = 54 - 12

3x = 42

⇒ x = 14

By substituting x = 14 in equation (3)

y =2(14) - 27

y = 28 - 27

⇒ y = 1

Substitute the values of x and y in equation (1),

14 + (1) + z = 27

z = -14+27-1

z= 12

Thus, the three positive numbers whose sum is 27 will be 14, 1, and 12.

Learn more about the number here:

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Answer:

Number of gallons in the tank after one hour.

Answer:

Step-by-step explanation:

The formula for the area of a triangle gives a relationship between area, height, and base length. The problem statement gives the area, and it gives another relation between height and base length. Using these two relations, you can solve for the dimensions of the triangle.

__

The side to which the altitude is measured is called the "base" in the area formula. The altitude is called the "height." The relation between them given by the area formula is ...

  A = 1/2bh

  51 = 1/2bh . . . . . . using the given value for area

The other relation given by the problem statement is that the base is 1 less than 3 times the height:

  b = 3h -1 . . . . . . . base is 1 less than 3 times altitude

__

Using this second equation to substitute for 'b' in the first equation, we have ...

  51 = 1/2(3h -1)h

  102 = 3h² -h . . . . multiply by 2, eliminate parentheses

  3h² -h -102 = 0 . . . . . put in standard form

  3h² -18h +17h -102 = 0 . . . . . prepare to factor

  3h(h -6) +17(h -6) = 0 . . . . . factor pairs of terms

  (3h +17)(h -6) = 0 . . . . . . . . finish factoring

Solutions are the values of h that make these factors zero:

  3h +17 = 0   ⇒   h = -17/3

  h -6 = 0   ⇒   h = 6

We know that dimensions in a geometry problem must be positive, so the solution here is h = 6. Then b = 3h -1 = 3(6) -1 = 17. The dimensions are all in inches.

The length of the side is 17 inches; the altitude to that side is 6 inches.

Answer:

[tex]\sec^2(\alpha)=1+\tan^2(\alpha)[/tex]

[tex]\csc^2(\alpha)=1+\cot^2(\alpha)[/tex]

[tex]\cot^2(\alpha)=\dfrac{1}{\tan^2(\alpha)}[/tex]

[tex]\begin{aligned}\sec^2(\alpha) \cdot \csc^2(\alpha) & = (1+\tan^2(\alpha))(1+\cot^2(\alpha))\\\\ & =1+\cot^2(\alpha)+\tan^2(\alpha)+tan^2(\alpha)\cot^2(\alpha)\\\\ & = 1+\cot^2(\alpha)+\tan^2(\alpha)+\tan^2(\alpha) \cdot \dfrac{1}{\tan^2(\alpha)}\\\\ & = 1+\cot^2(\alpha)+\tan^2(\alpha)+ \dfrac{\tan^2(\alpha)}{\tan^2(\alpha)}\\\\& = 1+\cot^2(\alpha)+\tan^2(\alpha)+1\\\\& = \tan^2(\alpha)+\cot^2(\alpha)+2\end{aligned}[/tex]

Answer:

See below ~

Step-by-step explanation:

Trigonometric Identies (needed)

Solving

Expanding the LHS

∴ Hence, we have proved the left hand side of the equation is equal to the right hand side.

Answer:

819 is the answer

Step-by-step explanation:

formula for volume is LxWxH

since volume is length * width * height, the volume for this will be 9 * 7 * 13 = 819cm^3

53

hope it helps...!!!!

Step-by-step explanation:

Nine sided polygon has an angle of 360/9=40 degrees at one vertex.

So the angles opposite the radius=(180–40)/2==140/2=70degrees.

solving for Base(side): 1/2s=5.cos70= 3.42 units Ans

P=9(5+3.42)=75.78 units Ans.

I search it. ‍♀️

Answer:

The answer is

→ [tex]4 + 7i[/tex]

Step-by-step explanation:

[tex]((-2) + (3 * i)) * (1 - (2 * i)) = 4+7i[/tex]

Therefore, [tex]4+7i[/tex] is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/22/2022 at 12:39 PM

(To avoid plagarism, by users whom decide to copy.)

See screenshots below to prove my point that [tex]4+7i[/tex] is your answer...

Answer:

64x -72

Step-by-step explanation:

9(6x-8)+10x = (multiply by 9)

54x -72 +10x

sum similar terms

64x -72

Answer:

64x-72

Step-by-step explanation:

Trust me lol.