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2 years ago

√24 is between which 2 numbers? Question 6 options: 1 and 2 2 and 3 3 and 4 4 and 5

2 answers:

6 0

The answer is: between 4 and 5

The way I figured this answer was by simply finding the square of the numbers

$1^{2} = 1$
$2^{2} =4$
$3^{2} =9$
$4^{2} =16$
$5^{2} =25$

Since 24 is between 16 and 25 then that has to be your answer.

ziro4ka [17]2 years ago

3 0

The answer is 4 and 5

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Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0

2 years ago

Carla pays $20 per month for her phone service, plus $0.08 for each long

Kisachek [45]

Answer:

Slope = 0.08 dollars per minutes.

Step-by-step explanation:

Carla pays $20 per month for her phone service, plus $0.08 for each long-distance minute used.

Therefore, if Carla talks for m minutes in the long-distance call, then the situation can be modeled by the equation

C = 20 + 0.08m ............ (1), where C is the total cost for her phone service per month.

Here, 20 is the fixed price and 0.08m is the variable price for her phone charges.

This equation (1) represents a straight line with y-intercept as 20 and the slope as 0.08, where m plotted along x-axis and C is plotted along the y-axis. (Answer)

3 0

3 years ago

Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west at 18 mi/h. At what rate (in

matrenka [14]

Answer:

The rate at which the distance between the two cars is increasing is 30 mi/h

Step-by-step explanation:

Given;

speed of the first car, v₁ = 24 mi/h

speed of the second car, v₂ = 18 mi/h

Two hours later, the position of the cars is calculated as;

position of the first car, d₁ = 24 mi/h x 2 h = 48 mi

position of the second car, d₂ = 18 mi/h x 2 h = 36 mi

The displacement of the two car is calculated as;

displacement, d² = 48² + 36²

d² = 3600

d = √3600

d = 60 mi

The rate at which this displacement is changing = (60 mi) / (2h)

= 30 mi/h

4 0

2 years ago

A square cake is cut into 16 equal parts. ben ears 7/16 of the cake. bell eats ¼ of the cake. what fraction of the cake is left?

Alexxx [7]

Set both fraction to a common denominator

7/16 and 4/16

now add them together

7/16 + 4/16 = 11/16

now subtract that from a full cake

16/16 - 11/16 = 5/16

there are 5/16 of the cake left

4 0

3 years ago

Digiron [165]

Answer:

Step-by-step explanation:

7 0

2 years ago