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KonstantinChe [14]

2 years ago

9

Find the measure of the missing angle of a triangle, if two of its angles are 75 degree and 65 degree respectively. please show

work

1 answer:

kirill115 [55]2 years ago

6 0

The sum of the angles in a triangle is 180°. That is ...
75° +65° +(missing angle) = 180°
(missing angle) = 180° -75° -65°
(missing angle) = 40°

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A campground has cabins that can each hold 28 campers there are 148 campers visiting the campground.how many cabins are full if

Rainbow [258]

For this case, the first thing we must do is define variables.

We have then:

x: number of cabins

y: number of campers

We now write the equation that models the problem:

$y = 28x$

We know that there are 148 campers.

Therefore, substituting y = 148 in the given equation we have:

$148 = 28x$

From here, we clear the value of x:

$x = \frac{148}{28}\\x = 5.29$

Therefore, the number of full cabins is:

$x = 5$

Answer:

The number of full cabins is:

$x = 5$

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3 years ago

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Exponents how do you do them

konstantin123 [22]

3 to the power of 5

you multiply 3 times 5 instead of 3 times 3 times 3 times 3 times 3
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7 0

2 years ago

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Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 ca

Anastasy [175]

Answer:

there are 11 big-bags and 24 small-bags.

Step-by-step explanation:

there are x big-bags and y small-bags.

so now we can know:

(1) x + y = 35

(2) 12x + 7y = 300

in (1),we can do like this:

both left and right x7

then (x + y)x7 = 35 x 7

then 7x + 7y = 35 x 7

then 7x + 7y = 245

now,

(1)7x + 7y =245

(2)12x + 7y = 300

we can both left and right do this: (2) - (1)

then

(12x + 7y) - (7x + 7y) = 300 -245

then

12x + 7y - 7x - 7y = 300 -245

then

12x - 7x +7y - 7y =300 -245

then

5x =55

then

5x ÷ 5 = 55 ÷ 5

then

x = 11

because

x + y =35;x=11

so

11 + y =35

11+ y -11 = 35 -11

then

y = 24

now we know:there are 11 big-bags and 24 small-bags.

3 0

2 years ago

A recipe call for 2 eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?

WINSTONCH [101]

You will need 7 eggs, 1 egg=5 pancakes so 7 eggs is 35 pancakes

5 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st

Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

$Tan\theta = \frac{15}{8}$

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

$cos(\theta) = \frac{-8}{17}$

By comparison

$Adj = -8\ and\ Hyp = 17$

Using Pythagoras

$Hyp^2 = Adj^2 + Opp^2$

By Substitution

$17^2 = (-8)^2 + Opp^2$

$289 = 64 + Opp^2$

Subtract 64 from both sides

$289 - 64 = 64 - 64 + Opp^2$

$225 = Opp^2$

Take square roots of both sides

$\sqrt{225} = \sqrt{Opp^2}$

$\sqrt{225} = Opp$

$15 = Opp$

$Opp = 15$

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

$Opp = -15$

From trigonometry

$Sin\theta = \frac{Opp}{Hyp}$

$Sin\theta = \frac{-15}{17}$

Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

$Tan\theta = \frac{-15}{17} * \frac{-17}{8}$

$Tan\theta = \frac{-15 * -17}{17 * 8}$

$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

5 0

2 years ago