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
Answer:
the cost of one hot chocolate is $2.
Step-by-step explanation:
Let x be the hot chocolate cost and y be the newspaper cost.
Given:
A newspaper and three hot chocolates cost $7
So, the equation is
--------(1)
Two newspapers and two hot chocolates cost $6
So, the second equation is.
---------(2)
Find one hot chocolate cost?
Solve equation 1 for y.
Put y value in equation 2
negative sign is cancelled both side.
Therefore, the cost of one hot chocolate is $2.
Answer:
The senior tickets are 9 dollars and 30 cents.
Step-by-step explanation:
Answer:
C 89a + 2c)
Step-by-step explanation:
The largest factor of both 8 and 16 is 8. So, 8 = GCF
factor out an 8 and you get 8(a + 2c)
To check if you are correct, multiply and see if you get what you started with.
Answer:
length = 17cm, width = 10cm
Step-by-step explanation:
2L + 2w = 54
L = w + 7
Substitute:
2(w + 7) + 2w = 54
2w + 14 + 2w = 54
4w = 40
w = 10
L = 10 + 7 = 17
