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Verdich [7]
2 years ago
11

The radius of a circle is 4 kilometers. What is the circumference?

Mathematics
1 answer:
zaharov [31]2 years ago
3 0

Answer:

25.12 kilometers

Step-by-step explanation:

c = 2\pi \: r

C = 2 × 3.14 × 4

C = 25.12

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Please help me ASAP. This is for Trigonometry, Math
Rufina [12.5K]

Answer:  C) exactly one triangle

<u>Step-by-step explanation:</u>

Given: ∠A = 45°, ∠B = 65°, side c = 4 cm

By the Triangle Sum Theorem, ∠C = 70°

Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}

Thus, there is exactly one triangle.

5 0
3 years ago
10. The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of packs of do
Anna71 [15]

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby  \begin{array}{llll} k=constant\ of\\ \qquad  variation \end{array}\\\\ -------------------------------

\bf \begin{array}{ccll} \stackrel{x}{packs}&\stackrel{y}{\stackrel{food}{oz}}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 4&96\\ 5&120\\ 6&144 \end{array}\impliedby \textit{we know that } \begin{cases} x=4\\ y=96 \end{cases} \\\\\\ 96=k4\implies \cfrac{96}{4}=k\implies 24=k

6 0
3 years ago
The ratio of students wearing sandals to those wearing sneakers is 5 : 1. If there are 30 students in the class, and all of them
mart [117]

Answer:

Step-by-step explanation:

6 0
3 years ago
1 2/5m-3/5(2/3m+1) How do you solve this problem
igor_vitrenko [27]

Step-by-step explanation:

I am not sure what you mean by "solve".

I assume you mean simplify the expression.

and then it is very tricky to find the true original expression the way you typed it.

I think you meant

1 2/(5m) - 3/(5(2/(3m + 1)))

1 = 5m/5m

1 2/(5m) = (5m+2)/5m

3/(5(2/(3m + 1))) = 3/(10/(3m + 1)) = 3/1 / (10/(3m + 1))

when dividing by a fraction, it is the same as multiplying with the upside-down fraction

so, this is the same as

3/1 × (3m + 1)/10 = (3(3m + 1)) / (10×1) = (9m + 3)/10

this would give us in total

(5m + 2)/5m - (9m + 3)/10

to do the subtraction we need to bring both fractions to the save denominator (lower part).

it seems to me the easiest one would be 10m.

so,

2×(5m + 2)/10m - m×(9m + 3)/10m =

= (10m + 4)/10m - (9m² + 3m)/10m =

= (10m + 4 - 9m² - 3m)/10m = (-9m² + 7m + 4)/10m

if we want to transform this back to a sum of fractions :

4/10m - (9m² - 7m)/10m = 2/5m - (9m - 7)/10

5 0
2 years ago
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