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2 years ago

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Amanda was 48 inches. she grew n inches last year and is now 56.5 in write expression that represents the number of inches Amand

a grew

2 answers:

ad-work [718]2 years ago

4 0

56.5 - 48 = 8.5
Amanda grew 8.5 inches.

Elina [12.6K]2 years ago

3 0

She grew 8.5 inches.

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I have a quiz on this tomorrow and i'm completely lost someone please help

Minchanka [31]

All the points on those lines are a part of the domains and the ranges. The domain points are the "x" values of the points on those lines. The range points are the "y" values of the points on those lines.

The first square in the top left hand corner:
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3 years ago

What is 87/297 in simplest form??

castortr0y [4]

Answer:

Reduce 87/297 to lowest terms

The simplest form of 87297 is 2999.

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2 years ago

The diagram shows a sector of a circle radius 10 cm. the angle is 135 degrees

Black_prince [1.1K]

Answer:

The perimeter is 43.6 cm

Step-by-step explanation:

In this question, we are tasked with calculating the perimeter of the sector.

Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.

Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius

Let’s calculate the length of the arc.

Mathematically, this is theta/360 * 2 * pi * r

where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm

Thus, we have

135/360 * 2 * 22/7 * 10 = 23.57 cm

Adding two radii to this, we have;

23.57 + 2(10)

= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place

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3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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3 years ago

Order these numbers from least to greatest.<br> 2<br> 12/5<br> 2.47<br> square root of 3

Arturiano [62]

Answer:

square root, 2,12/5,2.47

Step-by-step explanation:

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3 years ago