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3 years ago

Compare 8 ⋅ 107 to 2 ⋅ 104.

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

107 x 8 is 856 compared to 2 x 104 which is 208

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Here are 20 students in Jacob's homeroom. Five students bring their lunch to school. The rest eat lunch in the cafeteria. In sim

murzikaleks [220]

Answer: 3/4

Step-by-step explanation:

Number of students in Jacob's homeroom = 20.

Number of students who bring their lunch to school = 5

Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:

= 20 - 5

= 15

Fraction that eats in the cafeteria will be: = 15/20 = 3/4

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3 years ago

Tell whether the rates form a proportion.

pav-90 [236]

Answer: no

Step-by-step explanation: the answer is no

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3 years ago

How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides =?

lubasha [3.4K]

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides

5 0

3 years ago

Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and

zzz [600]

Answer:

$\bold{sin(38^\circ)=cos(52^\circ)}$

Step-by-step explanation:

Given that $\triangle KJL$ is a right angled triangle.

$\angle JKL = 52^\circ\\\angle KLJ = 38^\circ$

and

$\angle KJL = 90^\circ$

Kindly refer to the attached image of $\triangle KJL$ in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given $\triangle KJL$ .

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}$ ....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

$cos\theta =\dfrac{Base}{Hypotenuse}$

$cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}$ ....... (2)

By (1) and (2):

sin(38°) $\neq$ cos(38°).

$cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}$ ...... (3)

Comparing equations (1) and (3):

we get the both are same.

$\therefore \bold{sin(38^\circ)=cos(52^\circ)}$

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3 years ago

What is the amount of snow that can be placed in this globe if it is 4.7 inches wide?

zepelin [54]

Answer:

The awnswer is D. 54.3in^3

Step-by-step explanation:

7 0

3 years ago