△BCD is a right triangle. The length of the hypotenuse is 19cm. The length of one of the legs is 13 cm. What is the length of th
e other leg? (Answer must be a decimal rounded to the nearest tenth.)
1 answer:
Answer:
13.86 to the nearest tenth.
Step-by-step explanation:
A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.
The longest side is called the hypotenuse.
One of the shorter side is called the opposite.
The other shorter side is called the adjacent.
From the information given,
The length of the hypotenuse = 19cm
The length of the opposite side = 13cm
The length of the adjacent side = xcm
Applying Pythagoras theorem,
Hypothenuse ^2 = adjacent^2 + opposite ^2
19^2 = x^2 + 13^2
x^2 = 361 - 169 = 192
x = √192 = 13.8564
= 13.86 to the nearest tenth.
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Answer:
Step-by-step explanation:
We are asked to represent as the product of the GCF and another sum.
First of all, we will find the greatest common factor of 18 and 24.
Factors of 18: 1, 2, 3, 6, 9, 18.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
We can see that greatest common factor of 18 and 24 is 6. Let us write our given expression as product.
Factor our 6:
Therefore, our required expression would be .
Divide 4w to every term separately.
48/4 = 12
w^3/w = w^2
So our first term is 12w^2.
128/4 = 32
w^2/w = w
So our second term is 32w.
4w/4w = 1
Anything divided by itself is 1.
-1/4w, this can't be simplified further, so this is our last term.
So we have:
48/4 = 12
w^3/w = w^2
So our first term is 12w^2.
128/4 = 32
w^2/w = w
So our second term is 32w.
4w/4w = 1
Anything divided by itself is 1.
-1/4w, this can't be simplified further, so this is our last term.
So we have: