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2 years ago

10

Which algebraic expression represents the difference of e squared and twenty-one? A. E2+21 b.21 times e2 c. E2 - 21 d. 21 divide

d by e2

1 answer:

Digiron [165]2 years ago

6 0

Answer: c. E2 - 21

Step-by-step explanation:

difference means to subtract

Now, e squared=E² and twenty-one=21

Therefore the difference of e squared and twenty-one is E2 - 21

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For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on

Genrish500 [490]

<h3>Answer: 3 m/s^2</h3>

=======================================================

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.

8 0

3 years ago

Why does sin54°≈0.809≈cos36° in a right triangle?

allsm [11]

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

7 0

2 years ago

Geometry checkpoint question

Dmitrij [34]

First blank : Distributive property

Second : Simplify

Third : Subtraction property of Equality

Fourth : Division property of Equality

6 0

2 years ago

The area of a circle is 121π ft². What is the circumference, in feet?

olasank [31]

Answer:

· Area = pi*r^2. 121 = pi*r^2. Solve for r. Circumference = 2*pi*r. plug r into that equation and solve for Circumference

Use the given functions to set up and simplify f e e t . 121 π f t 2 = f e e t = f e 2 t

Step-by-step explanation:

4 0

2 years ago

The following is the frequency distribution for the speed of a sample of automobiles traveling on an interstate highway. Speed (

svlad2 [7]

Answer:

Standard Deviation is 18.57 .

Step-by-step explanation:

We are given the frequency distribution for the speed of a sample of automobiles traveling on an interstate highway;

Speed (mph) Frequency (f) X X*f X - $Xbar$ $(X-Xbar)^{2}$

50 - 54 4 52 208 52 - 65 = -13 169

55 - 59 3 57 171 57 - 65 = -8 64

60 - 64 2 62 124 62 - 65 = -3 9

65 - 69 5 67 335 67 - 65 = 2 4

70 - 74 2 72 144 72 - 65 = 7 49

75 - 79 <u> 5 </u> 77 <u> 385 </u> 77 - 65 = 12 144

<u> ∑f = 21 </u> ∑X*<u>f = 1367 </u>

Mean of the data, $Xbar$ = $\frac{\sum Xf}{\sum f}$

= $\frac{1367}{21}$ = 65.09 ≈ 65 .

Now, Standard deviation, s = $\sqrt{\frac{\sum f*(X-Xbar)^{2} }{n-1}}$

s = $\sqrt{\frac{(4*169)+(3*64)+(2*9)+(5*4)+(2*49)+(5*144)}{6-1} }$ = $\sqrt{\frac{1724}{5} }$ = 18.57

Therefore, standard deviation is 18.57 .

5 0

3 years ago