Answer:
the answer is A. 47
Step-by-step explanation:
tanθ = 15/14
the answer for 15/14 comes out to be about 1.0714 and so you put that value into your calculator using the sin^-1 button. it should look something like this sin^-1(1.0714) and press enter and you'll get 46.974 and round will result in 47
Answer:
yes $56 is correct
Step-by-step explanation:
The 3 part of the ratio relates to $42 , then
$42 ÷ 3 = $14 ← value of 1 part of the ratio , then
4 parts = 4 × $14 = $56
Step-by-step explanation:
Equation 1
Equation 2
To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150
Then let's call n1 and n2 the two numbers and a the number before x^2 (6)
ax^2+sx+fn = (ax + n1)(x + n2/a)
Numbers are -15 and +10
-15+10 = -5
-15*10 = -150
So
(6x-15)(x + 10/6)
Or write it as a sum
6x^2 + 10x - 15x - 25
And factor
6x^2 + 10x = 2x(3x+5)
-15x-25 = -5(3x+5)
(2x-5)(3x+5)
9514 1404 393
Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
- DF/DE = AC/AB ⇒ DF/9 = 16/18
- DF/AC = DE/AB ⇒ DF/16 = 9/18
- DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice D
- AC/DF = AB/DE ⇒ 16/DF = 18/9
Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
