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NemiM [27]
3 years ago
12

What is the area of parallelogram H=4 in b=7 in

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

A = 28 in²

Step-by-step explanation:

Equation for the area of a parallelogram: <em>A = b * h</em>

Plug in: A = 7 in * 4 in

Solve: A = 28 in²

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Let ∠X and ∠Y be complementary. If sin(X) =
Lena [83]
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

8 0
3 years ago
Factorise 2x^2 - 3x -2 &lt; 0
Galina-37 [17]
Step 1: Factor 2 x^{2} - 3x -2
1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite -3x as the sum of x and -4x

2 x^{2} +x-4x-2\ \textless \ 0


Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.

</span>x(2x+1)-2(2x+1)\ \textless \ 0
<span>
Step 3: </span>Factor out the common term 2x+1

(2x+1)(x-2)\ \textless \ 0

Step 4: Solve for x

1. Ask: When will (2x+1)(x-2) equal zero?
2. Answer: When 2x + 1 = 0 or x-2=0
3. <span>Solve each of the 2 equations above:

</span>x=- \frac{1}{2} ,2
<span>
Step 5: </span>From the values of x <span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2

Step 6: P</span><span>ick a test point for each interval

</span>For the interval x\ \textless \ - \frac{1}{2} &#10;
Lets pick x=-1. Then, 2(-1) ^{2} -3 * -1 -2 \ \textless \  0
After simplifying, we get 3\ \textless \ 0, Which is false. 
Drop this interval.
<span>
For this interval - \frac{1}{2} \ \textless \ x\ \textless \ 2
Lets pick x=0. Then, 2* 0^{2} - 3 * 0-2\ \textless \ 0. After simplifying, we get -2\ \textless \ 0, which is true. Keep this <span>interval.

For the interval </span>x\ \textgreater \ 2

Lets pick x = 3. Then, 2 * 3  ^{2} -3*3-2\ \textless \ 0. After simplifying, we get 7\ \textless \ 0, Which is false. Drop this interval.

.Step 7: Therefore, 
- \frac{1}{2} \ \textless \ x\ \textless \ 2

Done! :)</span>
4 0
4 years ago
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
qaws [65]

Answer:

b slow

Step-by-step explanation:

6 0
2 years ago
Students in Mrs. Palmer's third grade class are working on times tables, and they demonstrate mastery by passing tests. Evan has
hammer [34]

Answer: Don't know

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Winona got her hair cut for $21. She left a 15% tip for the hair stylist. What is the total amount of money Winona paid?
Amanda [17]

Answer:

$24.15

Step-by-step explanation:

What you do is you take 15% and make it into a decimal which is .15.

Then you times it by $21. 21*.15=3.15.

You then take the $3.15 and add it to $21 to get

$24.15 as your answer.

5 0
3 years ago
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