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lawyer [7]
3 years ago
15

Anrnav was 1.5m tall in the last couple years his height increased by 20%

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

1.8 meters

Step-by-step explanation:

It was easy for me

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Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of pain
blsea [12.9K]

Answer:

16

Step-by-step explanation:

4x3=12 tins of white paint

12+4=16 total tins

5 0
3 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
Which congruence theorem can be used to prove △ABC ≅ △DEF?<br><br> AAS<br> ASA<br> HL<br> SAS
Delicious77 [7]

Answer:

HL

Step-by-step explanation:

Use the HL Congruence Theorem to prove that the triangles are congruent.

8 0
3 years ago
What is the answer to this problem ,you have to simplify
Andreyy89
Y^8/y^5 When multiplying exponents with the same base, you add the exponents
8 0
4 years ago
Read 2 more answers
I need help with 1-9 please!
Margaret [11]

1-First let’s list the numbers between 210 to 220, except the even ones since they’re a multiple of 2:

211; 213; 215; 217; 219

Let’s remove 213, and 219 because they’re multiples of 3 (2+1+3=6; 2+1+9=12), 215 is multiple of 5, so let’s remove it.

That leave’s is with 211, and 217.

We can remove 217, because it’s a multiple of 7, leaving us with 211.

2- It’s deductive reasoning, because you started with a more general idea.

3- {-7, -6, -5, -4, -3, -2, -1, 0, 1}

4- {x e R, x>=-2}

5-{-1, 0, 1}

6- {x∣-4≤ x ≤6}

7- [-20, ♾ )

8- On a number line, make a circle around -1, and continue the line to minus infinity.

9- On a number line, make a circle on -3, and continue to minus infinity. Make a ring on 0, and continue to infinity.

8 0
3 years ago
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