45 45 90 triangle
legs are x and hypotonuse=x√2
10=furst x
10=x
hypotonuse=10√2
that hypotonuse is the leg of the other triangle
the hypotonuse is √2 times that
10√2=x of bigger triangle
hypotonuse=x√2=10√2 times √2=10*2=20
answer is 20 units
The two events are independent, because the selection of the first color (red) does not modifiy the probabilities of the second color (orange). Then the combined probability is the product of the two independent events:
1/7 * 1/7 = 1 / 49
Answer: option C. 1/49
Answer:
Cost of one bush = x = $9
Cost of one bonsai tree = y = $32
Step-by-step explanation:
Let Cost of one bush = x
Cost of one bonsai tree = y
From the expression: A company paid $ 391 for 15 bushes and 8 bonsai trees
We made equation:
and From the expression: They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 , we made equation:
Solving both equations simultaneously we can find value of x and y
Let:
We will use elimination method to solve these equations.
Multiply eq(1) by 5 and eq(2) by 8 and subtract
So, value of x=9
Now finding value of y by putting value of x in equation 1
So, value of y=32
Cost of one bush = x = $9
Cost of one bonsai tree = y = $32
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
Answer:
The fraction will increase by 100%
Step-by-step explanation:
Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):
You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).