The quotient of m2 – 9 divided by m-3 is a) m-3 b) m+3 c) m

1/2 sq. unit 1/2 sq. unit 1 sq. unit 1/2 sq. unit 1/2 sq. unit What is the area of the entire rectangle in square units? Explain

neonofarm [45]

Answer:

3 sq. units

Step-by-step explanation:

Entire area is the sum of areas of sections:

A = 1/2 + 1/2 + 1 + 1/2 + 1/2 =
1+ 4*1/2 =
1 + 2 =
3 sq. units

4 0

3 years ago

The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the r

iris [78.8K]

If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²

If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in

The height is 9.6 in.

3 0

3 years ago

A ribbon is 1.28 meters long. A rope is 2.34 meters longer than the ribbon. How long

satela [25.4K]

Answer:

4.02m

Step-by-step explanation:

carry 1 1

1 . 2 8

+ 2 . 7 4

4 . 0 2

just add the two given numbers

5 0

3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

A change machine changes dollar bills into quarters and nickels. If you receive 12 coins after inserting a dollar bill, how many

Rudik [331]

Well, given that a quarter equals 5 nickels, we can reason that, in order to get 12 coins, we would have to get 10 nickels (equals 50 cents) and 2 quarters (the other 50 cents, to make a dollar).

You didn't say whether you needed this expressed in a mathematical formula, but knowing the answer already, it shouldn't be hard to come up with one if necessary.

Hope this helps.

3 0

4 years ago

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