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3 years ago

15

What is the 1 in the 110

1 answer:

dezoksy [38]3 years ago

8 0

You can divide 110 by 1 to see how many 1's go in 110:
110/1 = 110

This means that there are 110 1's in 110.

Hope this helps! :)

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When finding the product (x – 3)(x + 4), what would you add to get the final answer?

kotykmax [81]

When multiplying out you get:

x2+4x-3x-12....

so you'd be adding the +4x to the -3x

x2 + x - 12

6 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

The volume of an irregularly shaped geometric object is usually determined by the _____ of _____ it displays.

Arturiano [62]

<span>Volume; Liquid its the answer to your question</span>

6 0

3 years ago

Read 2 more answers

Which shapes contain at least one right angle?<br><br> Select each correct answer.

Andrej [43]

1: Trapezoid
2: rectangle!

STEP BY STEP EXPLINATION

A right angle is exactly 90 degrees, so if the pentagon has 108 degree angles, it’s not a right Angle!

The parallelogram has 107 degree angles and 73 degree angles, it’s not exactly 90.
The trapezoid has two right angles! The two sides make a right angle at the vertex! So, it has a right angle!
Same thing for the rectangle!

HOPE THIS HELPS! HAVE A GREAT DAY!

8 0

2 years ago

Read 2 more answers

What is the slope of the line?<br> 3(y - 1) = 2x + 2<br> Choose 1 answer:

fenix001 [56]

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

4 0

4 years ago