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3 years ago

Which planet is 10 times as far as earth is from the sun?

Mathematics

2 answers:

leonid [27]3 years ago

7 0

The planet saturn is 10 times as far as earth is from the earth

ExtremeBDS [4]3 years ago

4 0

Saturn is about 10 times as far as earth from the sun

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(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no

Anni [7]

Answer:

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

Step-by-step explanation:

Given that

Vector a , a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

$V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\ 0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k$

The unit vectors

$V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}$

First vector

$V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}$

Second vector

$V=- \dfrac{-15i+12j+4k}{\sqrt{385}}$

5 0

3 years ago

A family wants to purchase a house that costs $145,000. They plan to take out a $115,000 mortgage on the house and put $30,00

AysviL [449]

Answer:

A. 15-year mortgage =$141,478.20

30-year mortgage =$187,707.60

B. $46,229.40

Step-by-step explanation:

A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.

Calculation for 15-year mortgage

Cost amount to save for 15-year mortgage=$785.99*15-year*12 months

Cost amount to save for 15-year mortgage =$141,478.20

Calculation for 30-year mortgage

Cost amount to save for 30-year mortgage =$521.41*30-year*12 months

Cost amount to save for 30-year mortgage =$187,707.60

B. Calculation for How much would they save if they selected the 15-year mortgage

Using this formula

Amount to save=30-year mortgage -15-year mortgage

Let plug in the formula

Amount to save=$187,707.60-$141,478.20

Amount to save=$46,229.40

Therefore How much would they save if they selected the 15-year mortgage will be $46,229.40

5 0

3 years ago

Anthony makes candies. FIrst, he mixes 1 cup of cream with 2 cups of chocolate. In all, he uses 9 cups of these two ingredients

lisabon 2012 [21]

Answer:

3 cups of cream

2 cups of chocolate

Step-by-step explanation:

9/3 = 3

1 x 3 = 3

2 x 3 = 6

6+3 = 9

5 0

3 years ago

Read 2 more answers

Is the given answer a reasonable solution to the problem? 7.92 • 10.21 = 808.632

azamat

Yea its is reasonable. Hope i helped :)

3 0

2 years ago

The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4

aniked [119]

So for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25

8 0

2 years ago