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Afina-wow [57]
3 years ago
8

Solve the inequality for w

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

w ≥ 23

Step-by-step explanation:

Add 3 to both sides of this inequality, obtaining:

w ≥ 23.  In other words, w must be 23 or larger.  Symbolically:  [23, infinity)

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What means lateral in math
Len [333]
Lateral surface area is the sum of all sides of a 3D object EXCEPT it's top and bottom bases.
7 0
3 years ago
the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of th
kobusy [5.1K]

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

7 0
2 years ago
9. Which point of view is most likely to be uni eliable in a story?
QveST [7]

This question includes some misspelled words; here is the correct question:

Which point of view is most likely to be unreliable in a story?

All points of view in a story are equally reliable.

The first person narrator is most likely to be unreliable.

All points of view in a story are equally unreliable.

The third-person point of view is most likely to be unreliable.

The correct answer is The first-person narrator is most likely to be unreliable.

Explanation:

In a narrative text, an unreliable narrator implies the narrator lies on purpose to the reader, or his/her version of the story is not completely accurate. This feature of narration occurs mainly if the story, novel, etc. includes a first-person narrator. This is because in a first-person narrator, the thoughts, feelings, and point of view of one of the characters prevail, and this causes the events told are subjective and therefore more likely to be inaccurate. Also, this does not occur if there is a third-person narrator because in this case the narrator acts as an observer and this makes it more objective.

5 0
3 years ago
The sycamore grove contains 30 sycamo
Zinaida [17]

Answer:

40 trees

Step-by-step explanation:

Let the total number of trees be x.

75% of all the sycamore trees in the park are 30 trees.

So,75%of x=30

or,(75/100)*x=30

or,x=(30*100)/75

or,x=40 [ANS]

7 0
3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
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