Answer:
a) 94 degrees lower
b) -17 degrees
Step-by-step explanation:
you should draw a number line to visualize what i'm saying..
basically any number that has a greater value but is negative is obviously lower than a smaller negative value
for example: take -563 that is a lot less than -31 because its farther down the number line
okay to find the answer to question a) you need to obviously find the difference between -29 and 65 to do that you need to count the space in between -29 and 65 on a number line.
There's actually a much easier method just use your common sense and some math: so you can say the distance from 0 to 65 is … 65 and the distance from -29 to 0 is 29 so to find the total distance you add them up and you get your answer! (94)
for b) its even easier you just take the number -29 and add 12 from it to get closer to 0 so to do that you need to subtract 12 to get a smaller number but bigger value on the number line (if you draw this one out it will make sense). And the answer is... -17! I hope this made sense :)
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.
<h3>What is compound interest?</h3>
The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
In this problem, we have that the parameters are given as follows:
A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.
Hence the time in years is found as follows:
t = 6.6
More can be learned about compound interest at brainly.com/question/25781328
#SPJ1
Answer:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
Step-by-step explanation:
Given the coordinate (x, y), if reflected over the y-axis, the resulting coordinate will be (-x, y):
Given the coordinates of the triangle expressed as:
A(1. 5), B(2, 3), and C(5, 4)
When these coordinates are reflected over the y-axis, the results will be:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
<em>Note that the x coordinates were negated while the y-coordinates remains unchanged</em>
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