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STALIN [3.7K]
3 years ago
12

Find the area of a rectangle with a length of 12 inches and a width of 10 inches.

Mathematics
2 answers:
maxonik [38]3 years ago
6 0
The area is 120 inches

almond37 [142]3 years ago
5 0
Area=lenght times width
length=12in
width=10in
area=12in times 10in=120 in² or 120 square inches
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SUPREME COURT The first Chief Justice of the U.S. Supreme Court, John Jay, served 2079 days
sashaice [31]

Answer:

John Roberts must serve a minimum of 12, 543 days to surpass John Mrshall's record of justice.

Step-by-step explanation:

John Marshall = 2079 + 10, 463 = 12, 542 days

Now, we have to add 1 more day to pass John Marshall because if we do not, we would only be on the same level as John Marshall and NOT EXCEEDING him.

4 0
2 years ago
Factor x^2a^2 + 3xa^2 + 2a^2. Show your work.
kotegsom [21]
x^2a^2 + 3xa^2 + 2a^2= \\ a^2(x^2+3x+2)= \\a^2(x^2+2x +x+2)= \\a^2(x(x+2)+(x+2))= \\a^2(x+2)(x+1)
4 0
3 years ago
Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
2 years ago
Read 2 more answers
What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?
CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}

Step 3: the graph the point

4 0
1 year ago
What number is in the middle of 25 and 50?
Firdavs [7]
(50-25)/2
25/2
12.5
25+12.5=37.5
6 0
3 years ago
Read 2 more answers
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