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3 years ago

(Will give Brainliest & Many Many Points <3 Please help quickly!)

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

D] f(n) = f(n − 1) + (−7)

Step-by-step explanation:

since you already know is an arithmetic series, you have to find the common difference.

87 - 94 = -7

80 - 87 = -7

73 - 80 = -7

the formula for the nth term is f(n) = f(n-1) + d

where f(n-1) is the previous term and d is the common difference, so if youu substitute you get:

f(n) = f(n-1) + d

f(n) = f(n-1) + (-7)

dolphi86 [110]3 years ago

3 0

Answer:

Step-by-step explanation:

f(n) - f(n-1) = 87 - 94

f(n) - f(n-1) = -7

f(n) = f(n-1) - 7

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3 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

3 years ago

Find the length of UC on the attached diagram. Thank you!

ValentinkaMS [17]

<h2>Answer </h2>

The length of UC is 18

<h2>Explanation </h2>

First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.

We can infer from our picture that JN is 82 + 105, so JN = 187

We can also infer that JU = JH + HU

JU = 22 + 96

JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

$UC=JN-(JU+CN)$

$UC=187-(118+51)$

$UC=18$

We can conclude that the length of UC is 18.

3 0

3 years ago

Read 2 more answers

The length of a rectangle is 12 inches. The width of the rectangle is 5 inches. Mia says the perimeter is 60 in2 and the area is

larisa86 [58]

Answer:

Mia is incorrect.

Step-by-step explanation:

She confused the area and perimeter.

Area is length x width, in this case 12 x 5 = 60

Perimeter is length² × width², and in this case, it is 12² × 5² = 34

Area = 60 inches

Perimeter = 34 inches

Hope that helps and have a great day!

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3 years ago

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Luden [163]

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