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3 years ago

Evulate r s+14s when r=6 and s =1/4

Mathematics

1 answer:

NISA [10]3 years ago

3 0

Answer:

Step-by-step explanation:

I'm going to assume the expression is (r)(s) + 14s

In order to evaluate this expression We'll need to input the values of r and s into the expression.

(6)(1/4) + 14(1/4)

(6/4) + (14/4)

20/4

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In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes

ddd [48]

Answer:

The answer for A is A- 3.75

And the answer for B is B- 16

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2 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

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3 years ago

How many moles are in 30.0g of N2

vazorg [7]

Answer:1.0709

Step-by-step explanation:

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3 years ago

Read 2 more answers

If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?

nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

8 0

3 years ago

I need help with this question

Nastasia [14]

Answer:

120 cm³

Step-by-step explanation:

V = (1/3)×base area×height

= (1÷3)×(4×9)×10

=120

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3 years ago