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3 years ago

Please help Right triangles and trigonometry quiz two on Khan Academy

Mathematics

1 answer:

Sedbober [7]3 years ago

8 0

Answer:

AC = 2.44

Step-by-step explanation:

Reference angle = 26°

Opposite side = AC = ?

Adjacent side = BC = 5

Applying TOA, we have:

Tan 26 = opp/adj

Tan 26 = AC/5

multiply both sides by 5

Tan 26 × 5 = AC

AC = 2.44 (nearest hundredth)

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Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

6 0

3 years ago

Change 90 1/5 to equivalent fraction

vazorg [7]

90 can be written as 450/5 plus the 1/5. Together, it can be written as 451/5.

4 0

3 years ago

ernie thinks he is being stalked by his own shadow. if the ratio of ernie's height to his shadow's height is 1.5 to 1, and ernie

Anna71 [15]

The height of Ernies shadow is 4 feet when his height is 6 feet.

<h3>equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the length of his shadow. Given that the ratio of ernie's height to his shadow's height is 1.5 to 1. Hence:

(1.5/2.5) * y = 6
y = 10 feet

(1/2.5) * 10 = x

x = 4 feet

The height of Ernies shadow is 4 feet when his height is 6 feet.

Find out more on equation at: brainly.com/question/13763238

7 0

3 years ago

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

rosijanka [135]

Answer:

$g(x)=\sqrt{x}-6$ , x>=0

Step-by-step explanation:

$f(x)=(x+6)^2$

To find the inverse function , replace f(x) by y

$y=(x+6)^2$

Replace x with y and y with x

$x=(y+6)^2$

Solve the equation for y

take square root on both sides

$+\sqrt{x} =y+6$

Now subtract 6 from both sides

$+\sqrt{x}-6=y$

replace y with g(x)

$g(x)=\sqrt{x}-6$

7 0

3 years ago

Please help me with this problem

alexira [117]

The answer is B, 3/4 miles to 1/2 inch which means 1.5 miles to 1 inch, because in the second map, the inches were divided by 2, making the map smaller, therefore we should double the scale to get the same measurments

5 0

3 years ago