The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232
Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
a) ABD and CBD are Supplementary angles and need to equal 180 degrees
Subtract 117 from 180 for CBD:
CBD = 180 - 117 = 63 degrees
b) In triangles the the shortest side would be opposite the shortest angle.
Since angle D is 56 degrees ( the smallest inside angle) then side BC would be the shortest side.
c) The side opposite the largest angle would be the longest.
Angle B is 63 degrees ( the largest) so side CD is the longest.
Answer: Its a function
Step-by-step explanation:
