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velikii [3]
3 years ago
13

Find the value of the angle θ rounded to 1 DP.

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Sin 21 = \frac{opposite side}{hypotenuse}

Sin 21 = \frac{BC}{15}

0.3583 = \frac{BC}{15}

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = \frac{opposite side}{adjacent side}

Tan ∅ = \frac{4}{5.37}= 0.7448

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

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State an equation you could use to find the value of x. Then find the value of x in simplest form.
Alex17521 [72]
You can use the Pythagorean Theorem:

a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)

So the equation is 2x^2=98 (simplest form) and x=7

Hope this helps
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3 years ago
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6 0
3 years ago
A turtle moves an an average speed of 12 inches/hour. How long does it take the turtle to travel 8 inches?
Korvikt [17]

Answer:

40 minutes

Step-by-step explanation:

We can solve this problem through finding the proportion...

Let the time taken to travel 8 inches at the speed be x

Hence, 12:60 :: 8:x

We must multiply the extremes and the nears..

Hence,

12x=60×8

x=60×8/12

x=40 minutes

7 0
3 years ago
one days discharge at its mouth, 3 trillion gallons, could supply all of country A’s household for 5 months. how much water an a
serious [3.7K]

let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

we know the discharge for one day is 3E12 gallons, and that'd do just fine for country A for 5 months.  How many gallons in 1 month only?

\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x

if there are 200million inhabitants in A, namely 200E6 or 2E8 inhabitants, how many gallons per inhabitant from all those 6E11 gallons?

\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x

5 0
4 years ago
Convert the angle to radians. Leave As a multiple of π. -90
alexdok [17]

Answer:

-90° = 3π/2 radians

Step-by-step explanation:

Keep in mind that -90° represents a 90° clockwise rotation from the positive x-axis. This is the same as a 360°-90°=270° counter-clockwise rotation from the positive x-axis.

To convert from degrees to radians, we simply multiply the degrees by π/180 radians. So, the answer is (270)(π/180)=(270π/180)=3π/2 radians

7 0
3 years ago
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