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2 years ago

In ΔEFG, f = 1.2 inches, ∠E=55° and ∠F=109°. Find the length of e, to the nearest 10th of an inch.

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

3 0

Answer:

e = 1.04

Step-by-step explanation:

To find e, we apply the sine rule

e/sineE = f/sineF

e/sine55 = 1.2/sine109

e/0.8192 = 1.2/0.9455

0.9455e = 1.2 x 0.8192

e = 0.9830/0.9455

e = 1.0397

to nearest tenth = 1.04inch

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3/4 + (1/3 ÷ 1/6) - (-1/2) =?

stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

$\frac{3}{4} =0.75$

$-\frac{1}{2} =-0.5$

(We will do something different for $\frac{1}{3}$ and $\frac{1}{6}$ .)

✦ Divide:

$\frac{1}{3}$ ÷ $\frac{1}{6}=2$

(Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)

✦ Simplified Equation:

$0.75+2-(-0.5)$

✦ Add:

$0.75+2=2.75$

✦ Subtract:

$2.75-(-0.5)=3.25$

(Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

$\frac{13}{4}$ (Exact Form)

$3~ \frac{1}{4}$ (Mixed Number Form)

$3.25$ (Decimal Form)

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

8 0

2 years ago

What property proves equivalency?

Olenka [21]

Answer:

i think its c.distributive

8 0

2 years ago

Is the function even,odd or neither and how do you know?<br><br> ASAP

wlad13 [49]

Answer:

Odd

Step-by-step explanation:

6 0

2 years ago

Given that e= 2i – 5j + 9k and f= 8i + 15j + k, find 3f – 2e.

ipn [44]

Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)

3(8i + 15j + k) = 24i + 45j + 3k

-2(2i - 5j + 9k) = -4i + 10j - 18k

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Simplify. Combine like terms

24i - 4i + 45j + 10j + 3k - 18k

(24i - 4i) + (45j + 10j) + (3k - 18k)

20i + 55j - 15k is your answer, or (C)

-------------------------------------------------------------------------------------------------------------------

hope this helps

5 0

2 years ago

Read 2 more answers

Divide f(x) by d(x), and write a summary statement in the form indicated.

Mandarinka [93]

Answer:

The correct option is B) $f(x) =(x^2+1)(x^2+4x+5)$

Step-by-step explanation:

Consider the provided function.

$f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5$ and $d(x) = x^2+1$

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor: $\frac{x^4}{x^2}=x^2$

Write the calculated result in upper part of the table.

Multiply it by the divisor: $x^2(x^2+1)=x^4+x^2$

Now Subtract the dividend from the obtained result:

$(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5$

Again divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{4x^3}{x^2}=4x$

Write the calculated result in upper part of the table.

Multiply it by the divisor: $4x(x^2+1)=4x^3+4x$

Subtract the dividend:

$(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5$

Divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{5x^2}{x^2}=5$

Multiply it by the divisor: $5(x^2+1)=5x^2+5$

Subtract the dividend:

$(5x^2+5)-(5x^2+5)=0$

Therefore,

Dividend = $x^4 + 4x^3 + 6x^2 + 4x + 5$

Divisor = $x^2+1$

Quotient = $x^2+4x+5$

Remainder = 0

Dividend = Divisor × Quotient + Remainder

$f(x) = (x^2+1)(x^2+4x+5)$

Hence, the correct option is B) $f(x) =(x^2+1)(x^2+4x+5)$

3 0

2 years ago