All categories

3 years ago

A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

You might be interested in

If vx = 7.60 units and vy = -6.60 units, determine the magnitude of v⃗ .

Liula [17]

To find the magnitude of a vector, take the components, square them, then add them, then take the square root. This is very similar to the Pythagorean Theorem.

For your particular problem, I’ve included a picture showing how that specific calculation is done. :)

4 0

3 years ago

Read 2 more answers

Math linear functions

Ivenika [448]

Answer:

60x-80

Step-by-step explanation:

per hour is x and the fee is negative 80

5 0

4 years ago

For a system of linear equations, the solution for the system is__

amm1812

For a system of linear equations, the solution for the system is____.

Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
Picture:

8 0

2 years ago

A college student Earned $6500 during summer vacation working as a waiter. The student invested Part of the money at 10% and the

Juliette [100K]

Answer:

The amount invested at 10% rate is $ 2200

Step-by-step explanation:

Given as :

The total amount earn by student = $6500

The total interest received at the end of year = $607

Let the amount invested at 10% rate = $x

So, The amount invested at 9% rate = ($6500 - $x)

Let the time for which money invested = 1 year

<u>Now from Simple Interest method :</u>

SI = $\frac{principal\times Rate\times Time}{100}$

Or, SI_1 + SI_2 = $\frac{x\times 10\times 1}{100}$ + $\frac{(6500-x)l\times 9\times 1}{100}$

Or, SI_1 + SI_2 = $(\frac{10x}{100})+\frac{(6500-x)\times 9}{100}$

Or, $607 × 100 = 10x + (6500-x) × 9

Or, $60700 = 10x- 9x + 58500

Or, $60700 - $58500 = x

Or , 2200 = x

∴ x = 2200

So, The amount invested at 10% rate = $x = $ 2200

Hence The amount invested at 10% rate is $ 2200 Answer

5 0

4 years ago

The student council had six fund raisers during the school year. They raised $212, $205, $206, $190, $188, and $195. Using the c

Rus_ich [418]

Answer:

$1200

Step-by-step explanation:

The clustering method for estimation is a method used for estimating the sums and products of numbers. This method is used when the numbers that are to be multiplied or added are near in value to a single number.

Given the money raised by six fund raisers:

$212, $205, $206, $190, $188, and $195

The numbers are to be added to find the total money raised. i.e.:

$212 + $205 + $206 + $190 + $188 + $195

But all the numbers are close to $200. Hence:

Using clustering method = $200 + $200 + $200 + $200 + $200 + $200 = 6 * $200 = $1200

4 0

3 years ago