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2 years ago

6

A kangaroo hops 2 kilometers in 3 minutes. At this rate:

1 answer:

nikitadnepr [17]2 years ago

3 0

It takes 7 minutes and 30 seconds to travel 5 kilometers because first you divide 3 and 2 to figure out how many minutes is 1 kilometer and you get 1.5 then you multiply 5 and 1.5 to get the minutes of 5 kilometers. Also the kangaroo travels 1.3 kilometers in 2 minutes

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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?

dem82 [27]

Answer:

Value of $\sec \theta = \frac{5}{4}$

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of $\sec \theta$ .

By definition of secants;

$\sec \theta = \frac{1}{\cos \theta}$

Now, first find the cosine of angle $\theta$

As the point (12 , -9) lies in the IV quadrant , where $\cos \theta > 0$

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

$(Hypotenuse side)^2= (12)^2 + (-9)^2 = 144 + 81 = 225$

or

$Hypotenuse = \sqrt{225} =15 units$

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

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

then;

$\cos \theta = \frac{12}{15} = \frac{4}{5}$

and

$\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}$

therefore, the value of $\sec \theta$ is, $\frac{5}{4}$

5 0

3 years ago

Read 2 more answers

Check my work? <br> i’ll mark brainliest:)

Rufina [12.5K]

yes, you’re right. .

8 0

2 years ago

Read 2 more answers

I need help on number 2 through 9

Phantasy [73]

3: terms/ 12, 8r, -3, s, -5, 15t coefficients/ 8r, 1s, 15t

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3 years ago

Can someone help me with this

loris [4]

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

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2 years ago

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Water rushes over Niagara falls at the rate of 180 million cubic feet every 30 minutes. How much water goes over the falls in 1

Nadusha1986 [10]

Answer:

180'000'000/30 = 6'000'000 ft³

Step-by-step explanation:

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3 years ago