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3 years ago

7

The number of toy rockets made by an assembly for 8 hours forms an arithmetic sequence. If the line produced 40 rockets in hour

one and 43 rockets in hour two, how many rockets will be produced in hour 7?
A. 47
B. 301
C. 51
D. 58

1 answer:

zubka84 [21]3 years ago

4 0

Answer:

58

Step-by-step explanation:

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Help!! <br><br> I think I got these wrong, so please help!! Thank you!

Andrew [12]

Answer:

(x+3)(x+4)(x-4)

x+2 and x-3 are not factors but x-4 is

Step-by-step explanation:

let's factor it :)

x^3 + 3x^2 - 16x -48

first we will factor this:

x^3 + 3x^2

x^2(x + 3)

then factor the second part :

- 16x - 48

-16(x + 3)

so now,

x^2(x + 3) - 16(x + 3)

factor out x+3

(x+3)(x^2 - 16)

factor x^2 - 16

(x+3)(x+4)(x-4)

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2 years ago

Find the point, M, that is two-sevenths of the distance from A(-9, 2) to B(-2, -12).

Softa [21]

(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)

Selection B is appropriate.

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3 years ago

The triangles are similar

hoa [83]

Answer:

Part 1) $x=16\ units$

Part 2) $x=23\ units$

Part 3) $AE=20\ units$

Part 4) $x= 6.25\ units$

Part 5) $x=26.67\ in$

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

$2.5x+7.5=2x+10$

$2.5x-2x=10-7.5$

$0.5x=2.5$

$x=5\ units$

$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

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2 years ago

Read 2 more answers

How do I find the missing sides in this triangle?

stiv31 [10]

Answer:

This is a 30-60-90 triangle so you would do this formula:

Short side (opposite the 30 degree angle) = x.

Hypotenuse (opposite the 90 degree angle) = 2x.

Long side (opposite the 60 degree angle) = x√3.

Step-by-step explanation:

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2 years ago

If f(x) =2x+3 then the point (1,5) is on the graph of f true or false

ss7ja [257]

F(x)=y=2x+3
P (1,5)
Substitute x and y:
5=2*(1)+3
5=5 true
Point P (1,5) is on the graph of f.

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3 years ago