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VMariaS [17]
3 years ago
5

Simplify

iv%204" id="TexFormula1" title="(5 + 1) ^{2} - (11 + 3 ^{2} ) \div 4" alt="(5 + 1) ^{2} - (11 + 3 ^{2} ) \div 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

31

Step-by-step explanation:

Evaluate following the order set out in the acronym PEMDAS

That is parenthesis, exponents, multiplication, division, addition, subtraction

Given

(5 + 1)² - (11 + 3² ) ÷ 4

= 6² - (11 + 9) ÷ 4

= 36 - 20 ÷ 4 ← division before subtraction

= 36 - 5

= 31

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Find the length of B to the nearest tenth using the Pythagorean theorem.​
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Step-by-step explanation:

Here

BC=P=10

AC=B=b

AB=H=15

then using fourmula

h^2= p^2+ b^2

b^2= 15×15 - 10× 10

b^2= 125

b=11.2

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Why do we need to know about unit rates
allochka39001 [22]

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because they allow us to make direct comparisons

Step-by-step explanation:

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Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180
Oduvanchick [21]
<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

4 + 2 sin(x)= 14-8 sin(x)

<h3>2. Subtract "4" from both sides of the equation.</h3>

-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10

<h3>4. Divide both sides by 10.</h3>

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<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

arcsin(sin(x))=arcsin(1)\\ \\x=90

<h3>6. Conclude.</h3>

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3 0
1 year ago
Which statement describes the transformation that would map triangle M to triangle N on this grid
wariber [46]

Answer:

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Step-by-step explanation:

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harkovskaia [24]
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Here line 1 is 3x - 7y = 42
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m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
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y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15
4 0
3 years ago
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