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3 years ago

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

Mathematics

2 answers:

mezya [45]3 years ago

7 0

Answer:

$NO= 31.2$

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

$KL = 51.6$

$LM= 38$

$OP = 23$

Required

Find NO

This will be calculated using the following equivalent ratios:

$NO : OP = KL : LM$

This gives:

$NO : 23= 51.6: 38$

Express as fraction

$\frac{NO }{ 23}= \frac{51.6}{ 38}$

Make NO the subject

$NO= \frac{51.6}{ 38} * 23$

$NO= \frac{51.6* 23}{ 38}$

$NO= \frac{1186.8}{ 38}$

$NO= 31.2$ --- approximated

shutvik [7]3 years ago

6 0

Answer:

x≈ 16.9

Step-by-step explanation:

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Can someone help me find an equation for both of these ❤️

Nitella [24]

Answer and Step-by-step explanation:

First equation:

y = -4x + 9

This equation has a negative slope (a slope that does downwards) and has a positive y-intercept (at (0, 9)).

Second Equation:

y = -4x - 4

This equation is parallel to the first line because it has the same slope. It also has a negative y-intercept (at (0, -4)).

#teamtrees #PAW (Plant And Water)

4 0

3 years ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

Hey guys. Just need help checking my equation. I have x = -0.6. thanks.

Novosadov [1.4K]

$12 - 4( - 3x + 5) - 8x = 20 \\ 12 + 12x - 20 - 8x = 20 \\ 4x - 8 = 20 \\ 4x = 28 \\ x = 7$
Not quite

3 0

3 years ago

Find the number that comes after 144five

Over [174]

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+ 1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five. Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward. When 1 is added to the next 4, the result will be 0 with 1 carried backward. 1 added to 1 = 2, all in base 5. Figures in base 5 cannot exceed 4. The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

7 0

2 years ago

(6 + (–2)) + 2 • (–8) • 42 = ________ A.1024 B.768 C.–256 D.–252

inna [77]

It should be -668 maybe answer B is a typo

5 0

2 years ago