Answer:
We will need about 3.3 gallons of red paint.
Step-by-step explanation:
Let
- w = amount of white paint
The amount of red paint is half the amount of white paint.
r = 1/2 w
w = 2r [1]
We need to make a total of 10 gallons. Then,
r + w = 10 [2]
Replacing [1] in [2]
r + (2r) = 10
3r = 10
r = 3.3
We will need about 3.3 gallons of red paint.
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
It would be b)-6561 not the others
The probability of there being zero males is given by:

Similarly the probability of there being zero females is also 1/16.
The probability there will be at least 1 male and 1 female is therefore:

The answer is: 7/8.
Answer:
Marco will need
of material to make the kite
Step-by-step explanation:
we know that
To know how much material Marco will need to make the kite, the area must be calculated.
Remember that the area of the kite is equal to
![A=\frac{1}{2}[d1*d2]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bd1%2Ad2%5D)
where
d1 and d2 are the diagonals of the kite
we have


substitute
![A=\frac{1}{2}[2*3]=3\ ft^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B2%2A3%5D%3D3%5C%20ft%5E%7B2%7D)