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3 years ago

Which number comes next in the pattern write your answer in the box below 8.80,8.45,8.10,7.75 --------

Mathematics

2 answers:

eimsori [14]3 years ago

7 0

Find the difference between each number:

8.80 - 8.45 = 0.35

8.45 - 8.10 = 0.35

8.10 - 7.75 = 0.35

The next number in the series is 0.35 less then the previous number.

Next number = 7.75 - 0.35 = 7.40

Answer: 7.40

viktelen [127]3 years ago

3 0

Answer:

Step-by-step explanation:

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

Solve by completing the square p^2 +10p - 3 = 0

Mrac [35]

Solving $p^2 +10p - 3 = 0$ by completing the square method we get $(p+5)^2-28=0$

Step-by-step explanation:

We need to solve by completing the square method.

We are given: $p^2 +10p - 3 = 0$

The Completing square method is: (a+b)^2 = a^2+2ab+b^2

Solving:

$p^2 +10p - 3 = 0\\For \,\,making\,\,perfect\,\,square\,\,we\,\,add\,\,and\,\,subtract\,\,(5)^2\\p^2+2(p)(5)^2+(5)^2-3-(5)^2=0\\(p+5)^2-3-25=0\\(p+5)^2-28=0$

Solving $p^2 +10p - 3 = 0$ by completing the square method we get $(p+5)^2-28=0$

Keywords: completing the square method.

Learn more about completing the square method at:

#learnwithBrainly

7 0

3 years ago

Parrel lines and angles how do I do this one

zzz [600]

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

4 0

3 years ago

Lisa drove 240 miles, then increased her speed by 20 miles per hour for 540 miles. If the second part of the drive took 3 hours

Sever21 [200]

Let u be speed while Lisa drove 240 miles and t be the time in completing 240 miles.

We have been given that Lisa increased her speed 20 mph than initial speed over next 540 miles. So her speed on next 540 miles will be $u+20$ mph.

Further more we are given that she took 3 hours more to complete the next 540 miles of the trip than she took in completing initial 240 miles. So she took $(t+3)$ hours in completing next 540 miles.