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netineya [11]
3 years ago
10

Carson uses cubes to make a pattern of shapes. The first shape has a height of

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

The total number of cubes in each shape will alternate between even and odd.

The length of each shape will alternate between even numbers and odd numbers  

Step-by-step explanation:

I have drawn a picture of the cubes below.

The cubes for Step 1 are black.

Those added in Step 2 are pink.

Each step has cubes of a different colour.

\begin{array}{cccc}\textbf{Step} & \textbf{Height} &\textbf{Length} & \textbf{Cubes}\\1& 2 & 2 & 2\\2 & 3 & 3 & 9\\3& 4 & 4 & 16\\4 & 5 & 5 & 25\\5 & 6 & 6 & 36\\\end{array}

The total number of cubes in each shape (Column 4 in the table) alternates between even and odd.

The length of each shape (Column 3 in the table) alternates between even and odd.

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Write the sum of 18+36 as the product of their GCF and another sum.
Orlov [11]
18 + 36 = 18(1+2)

GCF is 18.
4 0
3 years ago
What are the values of M and theta in the diagram below
Montano1993 [528]

Answer:

The correct answer is m=\frac{\sqrt{3} }{2} and θ = 30º.

Step-by-step explanation:

First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is \frac{1}{2} and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) = \frac{\frac{1}{2} }{H}

where H is the hypotenuse, in this case, the radio.

θ = sin^{-1} (\frac{\frac{1}{2} }{1})

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) = \frac{m}{H}

m = cos 30º * H

m = \frac{\frac{\sqrt{3} }{2} }{1}

m = \frac{\sqrt{3} }{2}

Have a nice day!

3 0
3 years ago
Read 2 more answers
Sally invests $300 in a lawn mowing business to buy a mower and other supplies. she charges $20 for each lawn she mows. write an
Mrac [35]
Y= X x 20 would be the answer
4 0
4 years ago
Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KO
solong [7]

Answer:

Angle Angle Angle (AAA) property

Step-by-step explanation:

A right angled triangle is a triangle that has one of its angles to equal 90^{0}. It could be in the form of an isosceles triangle or an acute angled triangle.

The given question compares the congruence properties of two triangles, KOM and LNM.

Thus,

<KOM = <LNM (right angle theorem)

<LMN = <KMO (common angles to both triangles)

⇒ <OKM = <NLM (property of a triangle i.e sum of angle in a triangle is 180^{0})

ΔKOM = ΔLNM (congruence property)

Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.

7 0
4 years ago
2:7 and 10,000:35,000 are they equivalent ratios answer
Sergeeva-Olga [200]

Answer:

yes

Step-by-step explanation:

Turn them both into fractions:

2/7 and 10,000/35,000

Simplify

10,000/35,000

  • Divide the top and bottom by 5,000

2/7 = 10,000/35,000

7 0
2 years ago
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