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Ann [662]
2 years ago
13

Decompose 7.846 and round to the nearest tenth and hundredths.

Mathematics
1 answer:
Nataliya [291]2 years ago
3 0
7.846 decomposed is:

7 + 0.8 + 0.04 + 0.006

or, to see it more clearly:

7.000 + 0.800 + 0.040 + 0.006

Rounded to the nearest tenth: 7.8
Rounded to the nearest hundredth: 7.85

I hope that's what you meant :)
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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D
Ivahew [28]
Check the picture below.

\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D

\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D

7 0
3 years ago
Does anyone know the minim value of the function f(x) =2x^2 -4x -6?. I’m online due to my quarantine and am looking for extra he
navik [9.2K]

Answer:

f(x) = - 8

Explanation:

The given function is

f(x) =2x^2 -4x -6

The first step is to find the derivative of the function. Recall, if

y = ax^b

y' = abx^(b - 1)

Thus,

f'(x) = 4x - 4

We would equate f'(x) to zero and solve for x. We have

4x - 4 = 0

4x = 4

x = 4/4

x = 1

We would substitute x = 1 into the original function and solve for f(x) or y. It becomes

f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6

f(1) = - 8

Thus, the minimum value is f(x) = - 8

4 0
1 year ago
Let f(x) = 5x – 3 and g(x) = -2x + 7. Find f(x) + g(x).
notka56 [123]

f(x) + g(x) = 5x - 3 - 2x + 7

               = 3x + 4

Hope this helps! If you have any questions, feel free to ask.

5 0
3 years ago
Hannah buys (2 1/5) dried fruit for 1.50 how much will she pay for 1 pound?
Vlada [557]
1.5x1/5=.3
half of 1.5 (because of 2 lbs of dried fruit ) is .75
.75+.3=.78 cents for 1 lb
8 0
3 years ago
When f(n)=-8 what is the value of n?
Lelu [443]

Answer:

20 the answer is 20 because you plug in 4 for n.

8 0
3 years ago
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