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2 years ago

Choose ALL of the fractions below which are equivalent (equal in value) to 40/60

1 answer:

7 0

E and F and B are your correct answers, 40/60 equals 2/3 and F is a automatic choice answer, divide the n/d for letter E By 2 and you get 2/3. B is also correct if you divide the n/d by 6, you get 2/3. Enjoy the lesson and happy studying:)

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$

8 0

3 years ago

The bigger of two numbers is four more

Otrada [13]

Answer:

X=the smaller

y=the larger

The bigger of two numbers is four more than the smaller, then:

y=x+4

one more than twice the smaller is the same as the larger, then

1+2x=y

We have the following system of equations:

y=x+4

y=2x+1

We solve this system by equal values method:

x+4=2x+1

x-2x=1-4

-x=-3

x=3

We find the value of "y"now:

y=x+4

y=3+4

y=7

the values of x and y are:

x=3

y=7

Step-by-step explanation:

7 0

3 years ago

The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse

diamong [38]

Answer: The answer is cosine of that acute angle.

Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

$\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.$

Thus, the ratio is cosine of the acute angle.

7 0

3 years ago

Find the measure of the exterior angle shown

RUDIKE [14]

Answer:

• exterior angle of a triangle is equal to sum of opposite interior angle

(6x-7) = (103-x) + 2x

6x-7 = 103 - x + 2x

6x-7 = 103 + x

6x - 7 - x -103 = 0

6x - x - 110 = 0

5x - 110 = 0

5x = 110

x = 110/5

x = 22

as exterior angle is (6x-7)

= 6 × 22 - 7

= 125

-> Exterior angle is 125°

pls do mark as brainliest. . . ☺

5 0

3 years ago

If y=kx and k is constant, what's the<br> proportional relationship between x and y?

Anon25 [30]

Answer: k

Step-by-step explanation:

5 0

1 year ago