Answer:
46
Step-by-step explanation:
Solution :
Remember that the sum of complementary angles is always 90°.
First, finding the value of x :
Set up an equation :
( Being complementary angles )
Solve for x
{ Remove unnecessary parentheses }
{ Combine like terms }
{ Subtract 3 from 30 }
{ Move 27 to right hand side and change it's sign }
{ Subtract 27 from 90}
{ Divide both sides by 9 }
The value of X is 7°
Now, Replacing the value of x in order to find the value of B
{ Plug the value of x }
{ Multiply 7 by 7 }
{ Subtract 3 from 49 }
The measure of B is 46°
Answer:
The answer is
.
Step-by-step explanation:
☆Remember:

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Answer:
Wyatt wrote the correct expression
Step-by-step explanation:
Here we are to evaluate which of the students wrote an expression with the highest common factor being 8c
For Tanya; 32c + 16c; 16c( 2 + 1); This is wrong as the highest common factor is 16c
For Wyatt, we have 8c - 48cd; factorizing, we have 8c(1-6cd); This is correct
For Xavier we have 36c-24c; 8 is not a factor of 36, so it won’t work
For Yang 8c + 40; 8(c+ 5); what we are trying to look for is 8c and not 8 so this is wrong also
A square with 1,536 soldiers are not possible, i.e. the square root of 1,536 is about 39.191, which means that 1,536 is not a square a number. In order for it to be a square number, we have to round up 39.191 (because it says "how many more soldiers") to 40 and 40×40=1,600 and 1,600-1,536, so we need 64 more soldiers.
The greatest 4 digit number is simple. If the square root of 10,000 is 100, than, one can assume that because 100-1=99, the resulting answer of 99×99 is less than 10,000, meaning that is is 4 digits. 99×99=9,801.
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by
, where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:


Then, we simplify the expression by algebraic means:

Roots of the polynomial are, respectively:

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.