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4 years ago

What is 73+84=. On Saxon math

Mathematics

1 answer:

ivann1987 [24]4 years ago

4 0

Answer:

157

Step-by-step explanation:

You just have to take 73+84, and here is the equation.

73+84=157

First, add the numbers in the ones place.

3+4=7

Now you know that the ones place is 7, we find the tens place.

7+8=15

Since only a 1-digit number can fill up a place, we bring the one over to the hundreds place.

Hence, the answer 157.

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Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, âˆ’1), B(4, âˆ’3, 0), C(1

zavuch27 [327]

Answer:

Angle at vertex A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19 x 2√5)= 10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19 x √19)= (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19 x 2√5)= 10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex A : 59.2° B: 61.7° C : 59.1°

7 0

4 years ago

1.13 Thank you! (Sorry it’s so blurry)

VikaD [51]

$\sqrt[8]{48^4}$ can be rewritten as $48^4$ to the $\frac{1}{8}$ power:

$(48^4)^ \frac{1}{8}$

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

$(48^ \frac{1}{2})$

This is equivalent to $\sqrt{48}$ , so now, we just simplify:

$\sqrt{48}= \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}$

So:

$\sqrt[8]{48^4} =4 \sqrt{3}$

4 0

4 years ago

!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!

docker41 [41]

Answer:

d. x = -3

Step-by-step explanation:

$\sqrt{(x + 3)}$ ÷ (x+8)(x-2) = 0