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Varvara68 [4.7K]
2 years ago
8

A robot can complete 8 tasks in 5 hour. Each task takes the same amount of time.

Mathematics
1 answer:
slava [35]2 years ago
7 0

Answer:

if you're asking how long each task takes, it should take 37.5 minutes per task.

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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

3 0
2 years ago
Where is the blue dot on the number line?
earnstyle [38]

<em>Answer:</em>

–6.8

<em>Method:</em>

Counting backwards from –7 to –6.5

5 0
2 years ago
Read 2 more answers
Lynn is a single mother with two children's . She qualifies to file as head of household her total income was $27267 last year h
storchak [24]

Answer:

$3,078.04

Step-by-step explanation:

-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.

-Her tax is then calculated as;

#10% bracket;

Tax=Taxable \ Income \times Tax \ Rate\\\\=9700\times 10\%\\\\\\=\$970.00

#12% Tax bracket:

Tax=Taxable \ Income \times Tax \ Rate\\\\=(27267-9700)\times 12\%\\\\\\=\$2108.04

The total tax=970+2108.04=$3,078.04

Hence, Lynn owes $3,078.04 in taxes.

7 0
3 years ago
Find an equation of the tangent line to the curve at the given point. y = x + tan(x) at (pi, pi)
S_A_V [24]
<span>Differentiating :

y' = 1 + sec^2(x),
</span><span>
cosπ=−1</span><span>

plug in pi = -1 ,for x:

1 + sec^2(pi) = 1 +  (-1)^2 
                      = 2</span>
8 0
3 years ago
What is the 5% of 300
garik1379 [7]
15
300*5/100 =15
That's all
5 0
3 years ago
Read 2 more answers
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