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Sever21 [200]
2 years ago
9

Select the correct answer. The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the numb

er? Р-4 B. -2 C.-1 D. 1 ​
Mathematics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

n = 1

Step-by-step explanation:

n - 6 = 5(n-2)

n - 6 = 5n - 10

-6 +10 = 5n - n

4 = 4n

n = 4/4

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Solve the formula for the area of a triangle A = (1/2) bh for height h
Hitman42 [59]
A = (1/2) bh for height h

2A = bh

first multiply both sides by 2 then divide both sides by b

Area of triangle = (1/2)bh

A = (1/2)bh

2A = bh

h = 2A/b

110 = 1/2(11)h

110 = 5.5h

110/5.5 = 20

The answer Is H = 20

Hope this helps (:
4 0
3 years ago
The hourly wage of workers was raised from $11.50 to 13.67 in 7 years
neonofarm [45]

Answer:

$13.67 - $11.50

So the raise over 7 years was $2.17

So to find the annual raise in the wage:

$2.17 / 7 = 0.31

His wage was raised <u>.31 every year</u>.

6 0
2 years ago
Name a point that is between 50 and 60 units away from (7,-2) and state the distance between the two points.
laila [671]

Let the required point be (a,b)

The distance of (a,b) from (7,-2) is

= \sqrt{(a-7)^2+(b+2)^2}

But this distance needs to be betweem 50 & 60

So

50

Squaring all sides

2500 < (a-7)² + (b+2)² < 3600

Let a = 7

So we have

2500 < (b+2)² <3600

b+2 < 60    or  b+2 > -60   => b <58 or b > -62

Also

b+2 >50    or b + 2 < -50  => b >48 or B < -52

Let us take one value of b < 58 say b = 50

So now we have the point as (7, 50)

The other point is (7,-2)

Distance between them

= \sqrt{(7-7)^2+(50+2)^2}= \sqrt{(52)^2}=52

This is between 50 & 60

Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)


6 0
3 years ago
Read 2 more answers
Convert Зcis 180° to rectangular form.<br> А. -3<br> в. -3i<br> с. з<br> D. Зі.
Sunny_sXe [5.5K]

Answer:

-3

Step-by-step explanation:

3 cis(180^\circ) means 3(\cos(180^\circ)+i \sin(180^\circ))

What is the x-coordinate value that corresponds to \theta=180^\circ. That value is -1.

What is the y-coordinate value that corresponds to \theta=180^\circ. That value is 0.

So this implies \cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0.

3 cis(180^\circ)  

3(\cos(180^\circ)+i \sin(180^\circ))

3(-1+i (0))

3(-1+0)

3(-1)

-3

5 0
3 years ago
Given the functions f(n) = 11 and g(n) = (3/4)n − 1, combine them to create a geometric sequence, an, and solve for the 9th term
Elina [12.6K]

Answer:

12345

Step-by-step explanation:

6 0
3 years ago
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