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3 years ago

12

Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original pric

e.

1 answer:

koban [17]3 years ago

8 0

The increase is $5000-$4000=$1000. The ratio of this increase to the original price is

$1000
-------- = 1/4 (no units of measurement here)
$4000

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Find the missing side length, and enter your answer in the box below. If

Savatey [412]

The missing side length is c = 25 units.

Step-by-step explanation:

Step 1:

The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.

As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.

The length of the hypotenuse is given as c units.

Step 2:

According to Pythagoras theorem,

$c^{2} = 24^{2} + 7^{2} = 576 + 49.$

$c^{2} = 625, c = 25.$

So the missing length, c of the given triangle is 25 units.

8 0

2 years ago

Hi please help me thanksss<br>pls provide workings too thanks :)

anygoal [31]

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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Verified by Toppr

We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0

2 years ago

Antonio had his hair cut at the salon. After he returned home, he realized he had accidentally tipped the stylist 114% of the co

stepan [7]

=>C

1.14*20.95=23.883

5 0

2 years ago

Matti built a greenhouse in his backyard as shown below

Vanyuwa [196]

well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

$\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}\times \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3$

4 0

2 years ago

Read 2 more answers

The Blue Ridge Parkway is 469 miles long. The parkway is a road that runs through 29 Virginia and North Carolina counties. Jenny

DedPeter [7]

Answer:

281/2/5 miles

Step-by-step explanation:

469/5 = 93.8

93.8x3 = 281.4

= 281/2/5 miles

Please mark as Brainliest, thank you!

8 0

2 years ago