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myrzilka [38]
3 years ago
7

A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10

knots. If the total trip took 4.0 hours, how far is the harbor from the island?
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

A on edu2020

Step-by-step explanation:

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15x²у⁴ (over) Зху² =
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5XY^2

Step-by-step explanation:

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Reduce 25/35 to lowest terms
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Answer:

 \frac{5}{7}

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 35 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

35 ÷ 5

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Kwesi is putting on sunscreen. He uses 3ml to cover 45 cm2 ​​ of his skin. He wants to know how many milliliters of sunscreen g
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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

8 0
3 years ago
From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How t
torisob [31]

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

5 0
3 years ago
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