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ladessa [460]
2 years ago
8

Help with 1 and 2 please

Mathematics
1 answer:
Anna35 [415]2 years ago
4 0

Answer:

love your nails, can u bring it a bit closer tho?

Step-by-step explanation:

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Can you please help me find the area? Thank you. :)))
Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

A=w\cdot l

For our rectangle w=12 in and l=20 in, the area is:

\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

A=\frac{b\cdot h}{2}

For our triangle, the base is b=4in and the height is h=6in, then the area is:

\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}

The area of the figure is 228in²

8 0
1 year ago
Hhheleppppp urgggeenttt
tekilochka [14]
They intercept at (-1,5)
6 0
3 years ago
Which point on the number line best represents the approximate value of 38?
Genrish500 [490]

Answer: Q

Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.

4 0
2 years ago
Read 2 more answers
#18-4: Douglas invests $550 in high-yield savings account. The account pays 2.1% simple interest annually. If he doesn't add or
kap26 [50]

Answer:

No

Step-by-step explanation:

You want to calculate the interest on $550 at 2.1% interest per year after 4 years.

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

P is the principal amount, $550.00.

r is the interest rate, 2.1% per year, or in decimal form, 2.1/100=0.021.

t is the time involved, 4 years.

So, t is 4 year time periods.

To find the simple interest, we multiply 550 × 0.021 × 4 to get that:

The interest is: $46.20

3 0
3 years ago
Identify p, q, and r if necessary. Then translate each argument to symbals and use a truth table to decide if the argument is va
anzhelika [568]
Answer:

Explanation:

Let p denote the statement "It snows", and q denote tthe statement "I can go snowboarding"

The we need to draw a table for

(p => q)v(-p => q)

p q -p -q p=>q -p => -q (p => q)v(-p => q)

T T F F T T T

T F F T F T T

F T T F T F T

F F T T T T T

The argument is valid, since the last column has truth all through.

5 0
1 year ago
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