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3 years ago

Use the distributive property and the greatest common factor to rewrite the sum 56 + 98.

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Take 7 times 4 and 7 times 8
. 7(4)(8)

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Make a table of 4 additional speeds equivalent to 50 miles per hour.

Nostrana [21]

Answer:

80.4672kmh

22.352m/s

43.4488 knots

73.3333 fps

Step-by-step explanation:

8 0

4 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.

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

6 0

3 years ago

Jasmine has only $46.50 to spend at forever 21. She wants to buy a shirt that costs $19, including tax, and some bracelets that

ivanzaharov [21]

46.50 - 19 = 5.50x

We get the 46.50 from her budget and the 19 from the shirt she wants to buy. If we subtract 19 from 46.50, we'll get the amount of money Jasmine can spend on bracelets.

46.50 - 19 = 27.50

She has $27.50 to spend on bracelets. Now, we divide that by 5.50 (the price of a bracelet) to see how many she can buy.

27.50 ÷ 5.50 = 5

Jasmine can buy 5 bracelets.

Hope this helps!

4 0

4 years ago

If john run 2.5 miles everyday, how many miles will he run in a month of 30?

Lapatulllka [165]

Answer:

2,250 miles per day.

Step-by-step explanation:

John runs 2.5 miles per day. In a period of 30 months, you can averagely take 30 days in each month.

So, 30 x 30 = 900 days in 30 months.

To find the number of miles ran in 900 days,

900 x 2.5 = 2,250 miles per day.

Hope this helps.

6 0

3 years ago

The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the n

Alecsey [184]

Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x

8 0

4 years ago