Answer:
30
Step-by-step explanation:
If CUB is 78 and that’s the full angle just to 48 minus 78 and you get your answer.
Answer:
y = 3/5x + 62/5
Step-by-step explanation:
Equation of a line with two points is
m = y - y_1 / x - x _1
m = y_2 - y_1 / x_2 - x _1
Equating both
y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1
Using what we are provided with
(-4 , 10)(16 , -2)
x_1 = -4
y_1 = 40
x_2 = 16
y_2 = -2
Imputing the values
10 - (-2) / 16 - (-4) = y - 10 / x - (-4)
10 + 2 /16 + 4 = y - 10 / x + 4
12 / 20 = y - 10 / x + 4
Lets cross multiply
12 ( x + 4) = 20(y - 10)
Open the brackets
12x + 48 = 20y - 200
12x + 48 + 200 = 20y
12x + 248 = 20y
Following this equation of line
y = mx + C
20y = 12x + 248
Let's divide through by 20 to get y.
20y / 20 = 12x + 248 / 20
y = 12x + 248 / 20
We can separate it by
y = 12x / 20 + 248 / 20
y = 3/5x + 62/5
Therefore, the equation of the line is
y = 3/5x + 62/5
Answer:
53.3324
Step-by-step explanation:
given that a thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F.
By Newton law of cooling we have
T(t) = 
where T (t) is temperature at time t,T =surrounding temperature = 40, T0 =70 = initial temperature
After half minute thermometer reads 60° F. Using this we can find k

So equation is

When t=1,
we get

In order to know what is the reasonable amount of tile for
Mandana to order, you have to divide the choices with the area of the floor and
deduct with 1 and multiply by 100. You have to assess if the answer you will
get will fall between 15% and 20% which is the goal of Mandana.
<span>a.
</span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this
does not fall between 15% and 20%
<span>b.
</span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this
fall between 15% and 20%
<span>c.
</span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this
does not fall between 15% and 20%
<span>d.
</span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this
does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order
that is between 15% and 20% extra of the materials is 138 square feet.