What is the area of the triangle?
8 cm
14 cm

Volume of a cylinder will be 113.112cm³.

The volume of a cylinder can be calculated using the formula

V = π r² h,

where r is the base radius and h is the height

Plugging in the values, we get

V = 3.142 × (2 cm)² × 9 cm

V = 113.112 cm³

The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.

Step-by-step explanation:

The given is,

           Decorative steel made from circular circle of 6 stems

           The length of the stem is 45 cm

Step:1

         We need to find the total length of the steel used in the decorative steel,

          Let,  T - Total length of the steel

                  L - Length of the stem

                  n - Number of stems used in steel frame

Step:2

       Formula to find the total length of the steel is,

                            [tex]T=[/tex] [tex]l[/tex] × [tex]n[/tex]

       From given,

                  [tex]l[/tex] = 45 cm

                 [tex]n[/tex] = 6 stems

       Substitute the values in formula,

                          [tex]T =[/tex] ( 45 × 6 )

                              = 270

                        [tex]T =[/tex] 270 cm

Result:

         The total length of the steel used in the frame is 270 cm.

The total length of steel used in the decorative steel frame, made with 6 stems of 45cm each, is 270cm.

To solve this question, we simply need to multiply the length of each stem by the number of stems used in the decorative steel. As stated, each stem measures 45cm, and there are 6 stems used in total.

Therefore, the total length of steel used in the frame would be calculated as follows:

So, the total length of steel used in the frame is 270cm.

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The value of the variable 'K' at t = 3 will be 37.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

K = 13t - 2

The value of the variable K at t = 3 will be given as,

K = 13t - 2

K = 13 x 3 - 2

K = 39 - 2

K = 37

The value of the variable 'K' at t = 3 will be 37.

More about the function link is given below.

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Answer:

75x + 375 [tex]\geq[/tex] 7500

      -375       -375

_________________

75x [tex]\geq[/tex] 7125

divide both sides by 75

x is greater than or equal to 95

95 or more to reach goal

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two brothers get three pounds to share is the answee.

2 brothers will share 3 pounds. Divide 3 pounds by 2 people:

3/2 = 1-1/2 pounds per person.

3 brothers will share 2 pounds. Divide 2 pounds by 3 people:

2/3 = 2/3 pounds per person.

The 2 brothers sharing 3 pounds will have more apples each.

Answer:

reflecting across y-axis

Step-by-step explanation:

I hope this helps :)

Answer:

0.0625

Step-by-step explanation:

Answer: [tex]4^{-2}[/tex]

Step-by-step explanation:

Equation:

[tex]4^4*4^{-7} *4^1[/tex]

When multiplying exponents with the same base, you can add the exponents together to find your answer:

4 + (-7) + 1

Answer:

112

Step-by-step explanation:

When something is related proportionally, that means that multiply by some value constant k, will result in the output.

Thus, to find k, all you have to do is divide y/x

14/6 = 7/3 = k

kx = y

48*7/3 = y = 112

Answer:

1/2.

Step-by-step explanation:

There are 2 quadrilaterals which have 4 congruent sides in the list: A square and a rhombus, The square  is the one with four right angles.

So the required  probability  is 1/2.

The probability that the shape has four right angles, given that it has four congruent sides is 1/2.

Probability is the ratio that shows the likelihood of an event occurring from a given set of other events.

It is given that there are 5 shapes.

There are 2 shapes that have congruent sides. They are rhombus and square.

There are 2 shapes that have right angles. They are the square and the rectangle.

P( shape has four right angles, given that it has four congruent sides ) = number of shapes with four congruent sides and four right angles/number of shapes with congruent sides = 1/2

Therefore, we have found that the probability that the shape has four right angles, given that it has four congruent sides is 1/2.

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Answer:

hope this helps you to understand

Answer:

6 inches

Step-by-step explanation:

The volume of a box can be calculated with the simple formula [tex]l\cdot w\cdot h[/tex], where l represents length, w represents width, and h represents height. You know that [tex]6\cdot 13\cdot h=468[/tex], so dividing both sides by 13 and 6 yields h=6 inches. Hope this helps!

Answer:

The height is 6

Step-by-step explanation:

468 divided by (13 x 6) = height

13 x 6 = 78

468 divided by 78 = 6

Answer:

25

Step-by-step explanation:

5x5

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

so

[tex]z^3=\frac{x}{y}[/tex]

we have

[tex]x=972\ cm^3\\y=36\ cm^3[/tex]

substitute

[tex]z^3=\frac{972}{36}[/tex]

Simplify

[tex]z^3=27\\z=3[/tex]

therefore

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

so

[tex]z^2=\frac{x}{y}[/tex]

we have

[tex]x=594\ cm^2[/tex]

[tex]z=3[/tex]

substitute

[tex]3^2=\frac{594}{y}[/tex]

solve for y

[tex]y=\frac{594}{9}=66\ cm^2[/tex]

therefore

The surface area of the smaller prism is 66 square centimeters

Answer:

43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16=43

Answer:

The value of 3 to the 3rd power + 4 to the 2nd power is 43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16= 43

Answer:

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Step-by-step explanation:

Polar form is

r(cos(theta) + isin(theta))

r = sqrt[(-10/sqrt3)² + (10)²]

r = sqrt(400/3)

r = 20/sqrt(3)

tan^-1[10 ÷ (10/sqrt(3))] = π/3

Theta: -π + π/3 = -2π/3

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Step-by-step explanation:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]17^{2} -8.5^{2} = 216.75[/tex]

[tex]\sqrt{216.75}[/tex] = 14.72243186

Now, we use another formula to find the area of the triangle: [tex]\frac{Base*Height}{2}[/tex]

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = 125.1406708

Answer:

(- 2, - 3 )

Step-by-step explanation:

Given the 2 equations

2x - 4y = 8 → (1)

y = [tex]\frac{3}{2}[/tex] x → (2)

Substitute y = [tex]\frac{3}{2}[/tex] x into (1)

2x - 4([tex]\frac{3}{2}[/tex] x ) = 8

2x - 6x = 8

- 4x = 8 ( divide both sides by - 4 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{3}{2}[/tex] × - 2 = - 3

Solution is (- 2, - 3 )

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

combine 2x and 4x to get 6x. Add 5 to 37 to get 42. divide the 6 and 42 to get x=7

Answer:

4.

Step-by-step explanation:

Hope this helps!

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

Answer:

8

Step-by-step explanation:

2x2 is 4 and x 2 is 8. I think im right?

Answer: 8

Step-by-step explanation:

Answer:

(3,-2)

Step-by-step explanation:

reflection over why axis will make the x coordinate positive.

Anything that doesn't show $1.04 is wrong.

Answer: D.

Step-by-step explanation:

7 x (2+3) = 7 x (3+2)

7 x (5) = 7 x (5)

35 = 35

Due to the Commutative Property of Multiplication

Answer:

D

Step-by-step explanation:

7 times 5 equal 35,

and 7 times (3+2) equals 35,

so the D equation are right.

You may have wondered what Euler's Identity means

[tex]e^{i \pi} = -1[/tex]

I hate to break it to you but it just means

[tex]\cos \pi + i \sin \pi = -1 + 0i[/tex]

Equating respective real and imaginary parts,

[tex]\cos \pi = -1, \qquad \sin \pi = 0[/tex]

which you probably already knew.

From the first part,

[tex]\pi = \arccos(-1)[/tex]

That's in the principal value range of cosine.

[tex]\pi = \textrm{Arccos}(-1)[/tex]

Answer: π

Answer:

p > 10.67

Step-by-step explanation:

Given the inequality -1 1/2p < -16

Before we can represent the inequality on a graph we just simplify it first. On simplification:

-1 1/2p < -16

(-3/2)p < -16

Multiplying both sides by 2

-3p < -32

Dividing both sides by -3 will change the sense of the inequality as shown:

p > -32/-3

p > 32/3

p > 10.67

Find the graph of the resulting inequality in the attachment.

Answer:

Graph A since these idiots cant just put the answer.

Step-by-step explanation:

Answer:

[tex]15(14a) = 210a[/tex]

Step-by-step explanation:

We want to simplify the expression 15(14a) using the distributive property.

We rewrite as:

[tex]15(14a) = 15(10a + 4a)[/tex]

According to the distributive property:

[tex]a(b + c) = ab + ac[/tex]

This implies that:

[tex]15(14a) = 15 \times 10a + 15 \times 4a[/tex]

We simplify to obtain:

[tex]15(14a) = 150a + 60a[/tex]

Add on the right to get:

[tex]15(14a) = 210a[/tex]

Answer:

6

Step-by-step explanation:

Anastasia thinks of a positive integer, say x

Barry doubles Anastasia's number.

Connor trebles Barry's number.

Damion multiplies Connor's number by 6.

Total of the Four Numbers=x+2x+3x+18x=24x

To find the value of x that makes 24x the smallest  perfect square

First, express it as a product of prime factors

[tex]24x=2 X 2 X 2 X 3 X x=2^3X3Xx\\$Multiply both sides by 2 and 3 to make the powers even\\24 X 2 X 3=2^3X3X2 X 3=2^4X3^2\\$24 X [2 X 3]=144 which is a perfect square\\Therefore, x=6[/tex]

Anastasia's initial number could be denoted as 'a'. This number is modified by Barry, Connor, and Damion, and the sum of all these numbers is a perfect square. The smallest positive integer for 'a' that achieves this is 1.

Let's denote the number that Anastasia thought of as 'a'. Barry doubles this number, so his number becomes '2a'. Connor triples Barry's number, so his number becomes '6a'. Damion multiplies Connor's number by 6, so his number becomes '36a'. The total of these four numbers must be a perfect square. So the sum 'a + 2a + 6a + 36a' equals a perfect square. That simplifies to '45a', which is equal to a perfect square.

The smallest positive integer when multiplied by 45 and is a perfect square would be when 'a = 1' as 45 itself is not a perfect square. So, the smallest positive integer that Anastasia could have thought of is 1.

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Answer:

Is 1

Step-by-step explanation:

Just got it right people. Trust me