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4 years ago

Read the numbers and decide what the next number should be. 20 30 40 50 60 70

2 answers:

6 0

They are asking for pattern recognition of a sequence of numbers. If you follow the pattern the next logical number will be 80

goldenfox [79]4 years ago

4 0

80 Because the numbers are going up by 10

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Let

Maksim231197 [3]

Answer:

3.3

Step-by-step explanation:

We determine the plane formed by $u_1$ and $u_2$ . The normal to the plane is given by their cross product:

$u_1\times u_2$

$\begin{pmatrix} - 2\\ - 4\\ 1 \end{pmatrix}\times\begin{pmatrix} - 4\\ 1 \\ - 4\end{pmatrix}=\begin{pmatrix} 15 \\ - 12\\ - 18\end{pmatrix}$

The equation of the plane is then given by

$15x-12y-18z=0$

The distance between a vector $\begin{pmatrix} x_1 \\ y_1 \\ z_1 \end{pmatrix}$ and a plane $Ax+By+Cz +D =0$ is given by

$d=\dfrac{|Ax_1+By_1+Cz_1 +D|}{\sqrt{A^2+B^2+C^2}}$

Comparing,

$A = 15,\ B = - 12,\ C = -18,\ D = 0,\ x_1=3,\ y_1 =-8, \ z_1 =3$

Substituting,

$d=\dfrac{|(15\times3)+(-12\times-8)+(-18\times3)+0|}{\sqrt{15^2+(-12)^2+(-18)^2}}$

$d=\dfrac{|45+96-54|}{\sqrt{225+144+324}}=\dfrac{87}{\sqrt{693}}$

$d =\dfrac{87}{26.32\ldots}\approx 3.3$

4 0

3 years ago

What type of polygon is shown?

tino4ka555 [31]

concave heptagon.

hope this helps

5 0

3 years ago

Read 2 more answers

How to ceheck if a function is differnteribable at 0,0 multi?

professor190 [17]

0.0 x 1 or x 0 is still 0

4 0

4 years ago

A family is going on a trip for 3 days. The total coast for the hotel is $336. One hundred dolkars a day was budgeted for food.

Airida [17]

$212, 100 for food and 112 for average hotel cost.

6 0

3 years ago

Read 2 more answers

Anyone help me please

Nuetrik [128]

Answer:

2,799 square cm

Step-by-step explanation:

Volume of cone: (1/3)π(9^2)(40)=1,080π

Volume of cylinder: π(3^2)(21)=189π

1,080π - 189π = 891π = 2799.2 square cm

4 0

2 years ago