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vfiekz [6]
3 years ago
14

The measurement of one angle of a right triangle is 61º.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

29

Step-by-step explanation:

if it is a right triangle, one of the angles are already 90 degrees. by giving me another angle, 61, all I have to do is add the 61 and 90 then subtract it from 180. A triangle is half of a square, a squares angles add together to make 360 degrees. a triangle is half of a square, so the angles add up to 180. that is why we subtract 151 from 180. doing that gives us the answer of 29. the third angle must be 29 degrees

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Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
3 years ago
The expression (8-3)^2-(5-2)^2 is equivalent to what numerical expression
Tresset [83]
(8-3)²-(5-2)²
Follow the PEMDAS
P-Parenthesis
E-Exponents
M/D-Multiplication/Division
A/S-Addition/Subtraction
clear the numerals in the parenthesis:
(5)²-(3)²
Now do the exponents:
=25-9
=16
Its just: (5)²-(3)²
7 0
3 years ago
Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What
ss7ja [257]
I beilieve its 3:1. I am not completely sure though

6 0
3 years ago
Read 2 more answers
suppose the probality that it will rain tomorrow is 0.59. what is the probality that it will not rain tomorrow​
kykrilka [37]

Answer: 0.41

Step-by-step explanation: 0.59 is 59%. To find the percentage of chance that it will not rain, you subtract 1 (which is 100%) minus 0.59. You get an answer of 0.41 (or 41% if you prefer.)

7 0
3 years ago
NEED HELP ASAP
poizon [28]
The answer is -4,0 4,8 because u would solve for one variable in one of the equations and then substitute the result into the other
5 0
3 years ago
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