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3 years ago

TIMED***Which equation is represented by the graph below?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

From the graph we observe:
If x = 0 then y = 1/2 (because e⁰ = 1)

$\displaystyle \bf \\
\Longrightarrow~~\boxed{\bf y = \frac{1}{2} e^x}$

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Answer:

The answer would be B.

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3 years ago

A student stands 20 m away from the foot

Ostrovityanka [42]

Answer:

Height of tree is $\approx$ 15 m.

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

$\angle C$ = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled $\triangle TPC$

$tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m$

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 $\approx$ 15 m

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3 years ago

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3 years ago

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ziro4ka [17]

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3 years ago

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nexus9112 [7]

The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
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3 years ago