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3 years ago

Find the dolphins rate in miles per hour if it swims 665,280 ft in 3 hours?

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer:

221,760

Step-by-step explanation:

665,280 divided by 3=221,760

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For what values of q are the two vectors A = i + j + kq each other and B-iq-23 + 2kg perpendicular to

Sloan [31]

Answer:

The value of q are 0.781,-1.281.

Step-by-step explanation:

Given : Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$ are perpendicular to each other.

To find : The value of q ?

Solution :

When two vectors are perpendicular to each other then their dot product is zero.

i.e. $\vec{A}\cdot \vec{B}=0$

Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$

$(i+j+kq)\cdot (iq-2j+2kq)=0$

$(1)(q)+(1)(-2)+(q)(2q)=0$

$q-2+2q^2=0$

$2q^2+q-2=0$

Using quadratic formula,

$q=\frac{-1\pm\sqrt{1^2-4(2)(-2)}}{2(2)}$

$q=\frac{-1\pm\sqrt{17}}{4}$

$q=\frac{-1+\sqrt{17}}{4},\frac{-1-\sqrt{17}}{4}$

$q=0.781,-1.281$

Therefore, The value of q are 0.781,-1.281.

6 0

3 years ago

Please tell me how to do it thank you

Triss [41]

Answer:

First set: 0.95. Second set: 0.86. Third set: 0.88.

Step-by-step explanation:

Imagine that these are not decimals, they are regular numbers (for example: 0.88 is turned into 88). You would determine which one is the greatest depending on which one is higher (like 44 is higher than 32). Therefor the first set: 0.95 the second set: 0.86 the third set: 0.88.

6 0

3 years ago

Hi:) I need help with part 9(ii) ? Thanks :)!

Goshia [24]

Answer:

see explanation

Step-by-step explanation:

Given

2BD = 7BT , then

2(d - b ) = 7(t - b) ← distribute both sides

2d - 2b = 7t - 7b ( add 7b to both sides )

2d + 5b = 7t, thus

2 $\left[\begin{array}{ccc}10.5\\10\\\end{array}\right]$ + 5 $\left[\begin{array}{ccc}0\\3\\\end{array}\right]$ = 7t

$\left[\begin{array}{ccc}21\\20\\\end{array}\right]$ + $\left[\begin{array}{ccc}0\\15\\\end{array}\right]$ = 7t

$\left[\begin{array}{ccc}21\\35\\\end{array}\right]$ = 7t , thus

t = $\frac{1}{7}$ $\left[\begin{array}{ccc}21\\35\\\end{array}\right]$ = $\left[\begin{array}{ccc}3\\5\\\end{array}\right]$

Hence T = (3, 5 )

8 0

3 years ago

Read 2 more answers

Do line segments with the given lengths form a right triangle? State whether the line segments with the given lengths form a rig

Dvinal [7]

Given:

19, 180, 181

To be able to determine if the given lengths form a right triangle, the following condition must be met:

$\text{ a}^2\text{ + }b^2=c^2$

Let's check.

a.) At a = 19, b = 180, c = 181

$\begin{gathered} \text{ a}^2\text{ + }b^2=c^2 \\ (19)^2+(180)^2=(181)^2 \\ 361\text{ + 32,400 = 32,761} \\ 32,761\text{ = 32,761} \end{gathered}$

Therefore, the given lengths could form a right triangle at a = 19, b = 180 and c = 181.

The answer is yes.

It just happened to be that we got the right answer on the first try, you must also examine at a = 180, b = 181, c = 19 and a = 181, b = 19, c = 180 if the first try didn't meet the right condition.

If you failed to get, then the given lengths could not form a right triangle. The answer would be no.

4 0

1 year ago

M<RPS = 6x +11°<br>help

Fudgin [204]

Answer:

its still 6x + 11 they dont add

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers