22.
pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse
if the hypotenuse is 4 meters long, c = 4.
if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.
if we have c²=a²+b², we can solve for b.
subtract a² both sides to get c²-a²=b², and then square root both sides to get
b = √(c²-a²)
plugging in our info we get
b = √(4²-3²) = √(16 -9) = √7
so the answer is √7 meters for 22
23
two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.
notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.
x = 6 and y = 8
The answer is D. 0.6666666.
The number of guests coming to Doug McDougal party can be calculated to be 23 people.
<h3>What number of people are coming?</h3>
Doug invited 138 guests and out of this, only 1/6 will be coming.
The number of people coming is therefore:
= Number invited x Proportion coming
Solving gives:
= 138 x 1/6
= 23 people
Find out more on problems involving proportions at brainly.com/question/14581282.
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Answer:

Step-by-step explanation:
To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.
So


We find the square of both sides of the equation. So




Nothing times 6 equals 64 because 6 times 10 is 60 and 6 times 11 is 66 so nothing times 6 equals 64