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lozanna [386]
3 years ago
14

the arithmetic sequence a sub i is defined by the formula a sub 1 =-4910 a sub i-1 +8 find the sum of the first 575 terms in the

sequence​
Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

10

Step-by-step explanation:

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Please help for number 8 I don't understand.
Ksju [112]

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

8 0
3 years ago
-11.
dalvyx [7]

Answer:

<em>A(2,3) has a distance of 2 to the y-axis</em>

<em>B(-3,2) has a distance of 3 to the y-axis</em>

<em>C(2,-3) has a distance of 2 to the y-axis</em>

<em>D(-3,-2) has a distance of 3 to the y-axis</em>

Step-by-step explanation:

<u>Distance of a point to an axis</u>

Given a point (x,y) its rectangular coordinates are defined as the distances from the point to each axis with respect to the origin (0,0).

For example, the point (5,4) has a distance of 5 from the y-axis and a distance of 4 from the x-axis.

Generally speaking, point (x,y) has a distance |x| from the y-axis and a distance |y| from the x-axis.

The absolute value bars are used because the distance is always positive.

Apply that to the points:

A(2,3) has a distance of 2 to the y-axis

B(-3,2) has a distance of 3 to the y-axis

C(2,-3) has a distance of 2 to the y-axis

D(-3,-2) has a distance of 3 to the y-axis

8 0
3 years ago
Luis went to the bank he deposited $20 into his savings account and withdrew $40 from his checking account. Write integers to de
aliina [53]

Answer:

Savings Account: x+20

Checking Account:x-40

7 0
3 years ago
PLEASE HELP IN MATH . ( PLEASE GIVE EXPLANATION )<br> 5 EASY POINTS
Black_prince [1.1K]
The answer is "Design B bulbs will likely last longer than design A bulbs."

The box in a box plot represents the middle 50% of the data. The box for the design B bulbs is farther out than the box for the design A bulbs. Therefore, design B bulbs last longer on average than design A bulbs.
7 0
3 years ago
Dak Prescott sucks<br> period <br> i dare you argue
Alexxx [7]

and btw go easy on his injury cowboys! till i die

Step-by-step explanation: my reasons:

The kind of dreams where you wake up and can’t stop smiling.

The smell before and after it rains.

The sound of rain against a rooftop.

The feeling you get when you’re dancing.

The person (or people) that mean the most to you. Stay alive for them.

Trying out new recipes.

The feeling you get when your favorite song comes on the radio.

Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.

7 0
3 years ago
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