Which expression is equivalent to the expression shown?
(542
258
56
5
204

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Work Shown:

L = theta*r

12 = theta*4

12/4 = theta

3 = theta

theta = 3 radians, choice C is the answer.

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Side note: The formula L = theta*r only works if theta is in radians.

If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.

Answer:

42

Step-by-step explanation:

15/4 x 2/1 x 28/5 = 840/20 = 42

Answer:

k=0.12d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given points:

The graph should have a same x-value with a different y-value.

From the list we have only point (5, 3) which makes this a non-functional relationship.

Correct choice is B

Points here are

As per definition of function

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

Answer:

2

Step-by-step explanation:

the first point and where the line turns

Answer:

180degrees

Step-by-step explanation:

Given the expression cos^2x - cos x - 2 = 0

Let P = cos x

P^2 - P - 2 = 0

Factorize

P^2 - 2P + P - 2 =0

P(P-2)+1(P-2) = 0

P-2 = 0 and P + 1 = 0

P = 2 and P = -1

Since P = cos x

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the require angle is 180degrees

Answer:

Step-by-step explanation:

Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120

Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60

Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.

9514 1404 393

Answer:

  birr 80

Step-by-step explanation:

The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...

  16/7 × (birr 35) = birr 80

Answer:

A = 12 feet²

Step-by-step explanation:

Given that,

The width of a rectangular garden is (6 − 2√3) ft.

The length of the garden is (3 + √3) ft.

We need to find the area of the garden. The area of a rectangle is given by :

A = lb

Put all the values,

A = (6 − 2√3)(3 + √3)

A = 12 feet²

So, the area of the garden is equal to 12 feet².

Answer:

Use notes and youll get an answer

Step-by-step explanation:

Answer:

[tex] \frac{x + 7 }{x - 3} [/tex]

Step-by-step explanation:

First factorize both expressions

[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]

Now you can cross out x+4

and you'll be left with

[tex] \frac{x + 7}{x - 3} [/tex]

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC = \triangle DE F[/tex]

Required

Which would not prove the similarity

[tex]\triangle ABC = \triangle DE F[/tex]  implies that:

The following angles are congruent

[tex]\angle A = \angle D[/tex]

[tex]\angle B =\angle E[/tex]

[tex]\angle C =\angle F[/tex]

And the following lengths are congruent

[tex]AB = DE[/tex]

[tex]BC =EF[/tex]

[tex]CA = FD[/tex]

The options are not clear; so, it's a bit difficult to select the correct option.

Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

Answer:

y = -1/30x + 14

Step-by-step explanation:

Height (changing by -1) is the dependent variable, therefore is represented by y

Time (changing by +30) is the independent variable, therefore is represented by x

14 = where we started from

Slope = Change in y / Change in x

Slope = -1/30x

Equation = -1/30x + 14

Hope this helps!

Answer:

Step-by-step explanation:

principal=rs 9450

time=5 years

rate=6%

Interest=PTR/100

=9450*5*6/100

=283500/100

=rs 2835

Total amount=Interest+principal

=rs 2835+rs 9450

=rs12285

Answer:

7.48

Step-by-step explanation:

[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]

Answer:

The range is 8.

Step-by-step explanation:

The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.

9 - 1 = 8

Have a nice day!

and tell me if I am wrong.

Answer: I'm going to say 3

Step-by-step explanation:

Answer:

Hello! answer: 45 degrees

Step-by-step explanation:

90 - 45 = 45 therefore x = 45 hope that helps!

Answer:

90 minus 45 equals 45 so x is 45 :)

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

Answer:

A) 7p^5q^4

Step-by-step explanation:

to get 5pq² to equal 35p^6q^6 you must multiply by:

7p^5q^4 because you must add the exponents

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

Answer:

2 cuts

Step-by-step explanation:

Get the height of the tree first

Using SOH CAH TOA identity;

Sin theta = opp/hyp

Sin 70 = /6

H = 6sin70

H = 6(0.9397)

H = 5.6381

Hence the height of the tree is 5.64m

Initial cut = 4m

Remaining height of trunk = 5.64 - 4 = 1.64

This means that he only need to make 2 cuts to cart the whole tree away

Answer:

-2x-15

Step-by-step explanation:

Answer: C. -2x-15

Step-by-step explanation: 5 + 5(x – 4) – 7x

5(x-4)-7x+5

(5x-5×4)-7x+5

5x-20-7x+5

5x-7x-20+5

-2x-15

Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.