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nekit [7.7K]
3 years ago
12

Mr. Sutherland has 824 pencils in his desk.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

6 weeks

Step-by-step explanation:

824 - 764 = 60 / 10 = 6

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Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11
kap26 [50]
An = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

4 0
3 years ago
In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.
xxTIMURxx [149]

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

  • The centroid of a triangle is the intersection of the three medians of the triangle
  • Each median connecting a vertex with the midpoint of the opposite side
  • The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

5 0
2 years ago
If f(x)= 3x+1 is reflect across the y-axis; what would the slope & y-intercept be? *
Elden [556K]

Answer: f(x) = -3x + 1

So the slope is -3 and the y-intercept is 1

Step-by-step explanation:

This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3

7 0
2 years ago
For z = 2cispi/6, find z^5 in reactangular form.
andrey2020 [161]

Answer:

heyyyyyheyyyyyyyyyyyyyyyyyyyyyyyyyyheyyyyyyyyyyyyyyyyyyyyyyyyyyy

D that's the answer dont worry Ik I got u

6 0
3 years ago
a parking garage has 6 levels. Each level has 15 row. Each row has the same number of parking spaces. there are 2,250 parking sp
Mandarinka [93]
To start with, we know there’s a definite amount of parking spaces in all(2,250) and we also know each level(6 in all) had 15 rows of parking spaces.

Equation

A = Parking spots per row


A = 2,250 Divided by(6 levels times 15 rows)

A= 2,250 Divided by 90


A = 25

The correct answer is 25 parking spots per row

To check this answer we can do

25 spots per row, Times 15 rows per level, Times the total amount of levels (6)

= the total amount of parking spots

25*15*6= 2,250

True


This confirms this answer as correct. Hope this helps.
6 0
2 years ago
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