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3 years ago

Select the shapes that are similar to shape A.

Mathematics

1 answer:

sergeinik [125]3 years ago

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8xf(0)+4xg(-8)= solve this

Virty [35]

The Answer is: -32xg

7 0

3 years ago

the two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si

STatiana [176]

Let the length of the shorter sides be x, then
Perimeter = x + x + x + 5
29 = 3x + 5
3x = 29 - 5 = 24
x = 24/3 = 8

Therefore, the length of longest side is 8 + 5 = 13 m.

4 0

3 years ago

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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.

8 0

3 years ago

Can someone help me and show the work pls.

Ivan

(1 & 2/3) ft = (1 ft) + (2/3 ft)

(1 & 2/3) ft = 12 inches + 12*(2/3) inches

(1 & 2/3) ft = 12 inches + 8 inches

(1 & 2/3) ft = 20 inches

If the tree grows 5 inches per year, then it will take 4 years to get to 20 inches since 5*4 = 20. You can also divide to get 20/5 = 4.

So it takes 4 years for the tree to grow 1&2/3 feet tall.

8 0

3 years ago

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Find the arc length of the

Agata [3.3K]

Answer:

Circle circumference = radius * 2 * PI

Arc Length = radius * 2 * PI * Central Angle / 360 degrees

Arc Length = 7 * 2 * PI * (1/4)

= 3.5 * PI

= 10.9955742876

Arc Length = 10.996 (rounded)

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers