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expeople1 [14]
1 year ago
10

Karen's furniture store advertised a table at 23% discount. The original selling price was $123, and the sale price was $100. Wh

at is the sales price?
Mathematics
1 answer:
Vlad [161]1 year ago
3 0

Using the original selling price calculate the real sales price that it should be if there is a discount of 23%

\begin{gathered} SalesPrice=OrigalPrice\cdot(1-0.23) \\ SalesPrice=123\cdot(0.77) \\ SalesPrice=94.71 \end{gathered}

The sales price is higher than it should be.

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What is cos P?  Right triangle PQR with a short leg measuring 5, a long leg measuring 12, and the hypotenuse as 13
OLga [1]
It depends how you name the sides of triangle.
Look at picture at the result.

cos\alpha=\frac{12}{13}\\
cos\beta=\frac{5}{13}

PS. Sorry for my terrible drawing but I did it as fast as possible :)

3 0
3 years ago
Find the lateral surface area of the figure.
Brut [27]

Surface area of the cylinder = 816.4 sq. ft.

Solution:

Height of the cylinder = 21 ft

Diameter of the cylinder = 10 ft

Radius of the cylinder = 10 ÷ 2 = 5 ft

Use the value of \pi = 3.14

Surface area of the cylinder = 2 \pi r h+2 \pi r^{2}

Substitute the given values in the surface area formula, we get

Surface area of the cylinder $=2\times3.14\times 5\times 21+2 \times3.14\times 5^2

                                               =659.4+157

                                               =816.4 ft²

Hence the surface area of the cylinder is 816.4 sq. ft.

7 0
3 years ago
Read 2 more answers
The actual distance between parks is 24 miles On a map these parks are 8 inches apart How many miles are equal to one inch on th
vaieri [72.5K]

Each inch in the map is equivalent to 8 miles.

Explanation:

There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.

So 8 inches on that particular map = 24 miles in real life.

To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.

\frac{8}{8} inches on the map = \frac{24}{8} miles between the two parks in real life,

1 inch on that particular map = 3 miles in real life.

So each inch on the given map is equal to 8 miles in real life.

5 0
3 years ago
The perimeter of the rectangle is 28 units.
riadik2000 [5.3K]

Answer:

7 units

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Math help ( 20 pts )
Nimfa-mama [501]
A) The answer is 24 m

x - the distance from the spot on the beach to the parking lot

Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24

Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
</span>

b) The answer is 40 m.

x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.

First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m

Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m

Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m

Thus the distance from the parking lot to get the refreshment stand is 40 m.
6 0
3 years ago
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