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4 years ago

I cannot figure this one out please help

Mathematics

1 answer:

RideAnS [48]4 years ago

8 0

(7 x 500,000) + (7 x 80) because it will turn out the same answer but is easier

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A group of 485 people takes a canoe trip. They fill up all available canoes that each hld 3 people with 273 people. The rest of

olga2289 [7]

Number of people in the canoes which hold 2 people =

485 - 273 = 212 therefore there are 212 / 2 = 106 canoes holding 2 people.

The number of canoes holding 3 people = 273/3 = 91

Total number of canoes = 106 + 91

= 197 (answer)

Hope this helps

7 0

3 years ago

In right triangle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M).

Juliette [100K]

Option A:

$$\cos M=\frac{19}{20}$

Solution:

The image of the triangle is attached below.

Given data:

$$\sin L=\frac{19}{20}$

Using trigonometric ratio formulas,

$$\sin L=\frac{\text { Opposite side of } L}{\text { Hypotenuse }}$

$$\sin L=\frac{MN}{LM}$

So, MN = 19 and LM = 20

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

$LM^2=LN^2+MN^2$

$20^2=LN^2+19^2$

$400=LN^2+361$

Subtract 361 from both sides,

39 = LN²

Taking square root on both sides,

$LN=\sqrt{39}$

$$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}$

$$\cos M=\frac{\text { Adjacent side of } M}{\text { Hypotenuse }}$

$$\cos M=\frac{MN}{LM}$

$$\cos M=\frac{19}{20}$

Hence option A is the correct answer.

7 0

4 years ago

Point P is the center of the circle in the figure above. What is the value of x?

LenaWriter [7]

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

$20 + \frac{x}{2} + 20 + (360 - x) = 360$

$20 + \frac{x}{2} + 20 + 360 - x = 360$

Collect like terms

$20 + 20 + 360 + \frac{x}{2} - x = 360$

$400 + \frac{x}{2} - x = 360$

Subtract 400 from each side 

$400 + \frac{x}{2} - x - 400 = 360 - 400$

$\frac{x}{2} - x = -40$

$\frac{x - 2x}{2} = -40$

$\frac{-x}{2} = -40$

Multiply both sides by 2

$\frac{-x}{2} \times 2 = -40 \times 2$

$-x = -80$

Divide both sides by -1

$\frac{-x}{-1} = \frac{-80}{-1}$

$x = 80$

3 0

3 years ago

The table is shows the fraction of the votes that each candidate received. If 230 students voted, how many students voted for ea

barxatty [35]

3/5 * 230 = 138 votes for Nyemi

3/10 * 230 = 69 votes for Luke

1/10 * 230 = 23 votes for Natalie

***************** DOUBLE-CHECK ****************

138 + 69 + 23 = 230 Correct!!

6 0

3 years ago

Read 2 more answers

ASAP FOR BRAINIEST AND MANY POINTS

myrzilka [38]

Answer:

addition I hope this is right

4 0

4 years ago