Answer:
Step-by-step explanation: the other angle is equal to his simmetrical, cause the triangle is isosceles, so is value is x. The sum of the angle in a triangle must be 180°
Answer:
72 inches
Step-by-step explanation:
12 × 6 = 72
Answer: There are 72 inches in 6 feet
To find the GCF of the two terms, continuous division must be done.
What can be used to divide both terms such that there is not a remainder?
Start small, let's take 2. It could be a GCF.
Move up higher, say 3. Yes, it can be a GCF.
To see if there might be a greater common factor, divide the constants by 3.
48/3 = 16
81/3 = 27
Upon inspection and contemplation, there is no more common factor between 16 and 27. So, 3 is the GCF.
Moving on, when it comes to variables. The variable with the least exponents is easily the GCF. For the variable m, the GCF is m2 and for n, the GCF is n.
Combining the three, we have the overall GCF = 3m2n
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
<em><u>Solution:</u></em>
Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin
<em><u>To find: height of each penguin</u></em>
From given question,
Let "e" be the height of emperor penguin
Let "g" be the height of galapagos penguin
Total height of two penguins = 169 centimeter
Therefore,
height of emperor penguin + height of galapagos penguin = 169
e + g = 169 ---- eqn 1
The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin
height of emperor penguin = 22 + 2(height of galapagos penguin)
e = 22 + 2g --- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
g = 169 - e ------- eqn 3
Substitute eqn 3 in eqn 2
e = 22 + 2(169 - e)
e = 22 + 338 - 2e
e + 2e = 360
3e = 360
<h3>e = 120</h3>
Thus from eqn 3,
g = 169 - 120
<h3>g = 49</h3>
Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
