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3 years ago

write the first six terms of the arithmetic sequence with the first term a1 =90 , and common differnce, d=9

1 answer:

8 0

Given a1 = 90
Common difference = adding
90 + 9 = 99, second term
99 + 9 = 108, third term
And keep doing that
You would get
90, 99, 108, 117, 126, 135

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Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea

77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

-n = -26

n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

3 0

3 years ago

A city planner wants to build a road perpendicular to D Street. What is the slope of the new road?

Romashka-Z-Leto [24]

Answer:

The slope of the new road is 0.

Step-by-step explanation:

the slope of d street line is tan(90)

[if the angle made by a line with x axis is $\alpha$ then, the slope of that line will be tan( $\alpha$ ) ]

here, the angle made by the d street line with x axis is 90 degrees.

if a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis .

so, the slope of new road will be tan(0) = 0

7 0

3 years ago

Read 2 more answers

I’m a bit confused on how to solve this problem, and could use some help!

weqwewe [10]

Answer:

Okay to start with we know this side isn't congruent to our side with 55 degrees looking at this side we can see that x is not 95 degrees because it is an acute angle so A is crossed out. Next this side isn't congruent like I said so B is crossed out. C is possible but the angle wouldn't be as wide as it is if we had 59 degrees so C is incorrect. Leaving us with D 70 degrees hope this helps and sorry if I got it wrong!

Step-by-step explanation:

4 0

3 years ago

Find each indicated product <br>1) 2s(s-4) <br>2) (w+7) (w+3)<br>3) (x+9) (x-2) 4) (2t-1) (t+5)

Andrej [43]

Answer:

1) 2s(s-4

Ans:

$2(−4)$

$22−8$

2)(w+7) (w+3)

Ans:

$(+7)(+3)$

$(+3)+7(+3)$

$2+3+7(+3)$

$2+3+7+21$

$2+10+21$

4 0

2 years ago

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0

3 years ago

write the first six terms of the arithmetic sequence with the first term a1 =90 , and common differnce, d=9​

write the first six terms of the arithmetic sequence with the first term a1 =90 , and common differnce, d=9