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disa [49]
3 years ago
7

Solve: 10 sin^2(X) - 3sin(X) - 1 = 0

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

(2u - 1)(5u + 1) =0

Step-by-step explanation:

The two subtractions in the equation means that it will be a plus and a minus and 10u would not get -3 nor -1

You might be interested in
If the price of an object went up 25% to $10.25 what was the original price?
Naily [24]

Answer:

$8.20

Step-by-step explanation:

125% = 10.25

1% = 0.082

100% = 8.20

8 0
3 years ago
A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below
nirvana33 [79]

The missing figure is attached

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

<em>To find the cost per square units find the lateral area (they will made the walls only) of the rectangular prism and divide the cost of the steel sheet by it</em>

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

∵ The length of the base is 9 m

∵ The width of the base is 5 m

∵ The height of the prism is 7 m

- Find the perimeter of the base

∵ Perimeter of base = 2(length + width)

- Substitute the values of the length and the width

∴ Perimeter of base = 2(9 + 5) = 28 m

Now use the formula of the lateral area to get it

∵ LA = 28 × 7

∴ LA = 196 m²

Let us find the cost per square meter

∵ The total cost of the sheet steel was $4392

∵ The lateral area of the container is 196 m²

- Divide the cost by the lateral area

∴ The unit cost = 4392 ÷ 196

∴ The unit cost = 22.41 dollars to the nearest cent

The sheet steel costed $22.41 per square meter

4 0
3 years ago
United Express, a nationwide package delivery service, charges a base price for overnight delivery of packages weighing 1 pound
Vera_Pavlovna [14]

Answer:

Base price: $13.

Surcharge: $2 per additional pound.

Step-by-step explanation:

The base price can be considered a constant, while the surcharge is a function of the additional weight of the package, over 1 pound.

Then, we can model this as a linear function, with additional weight as the independent variable.

f(x)=b+sx

being b: base price, and s: surcharge for each additional pound.

The 7-pound package cost $25. The additional weigth in this case is 7-1=6 pounds.

The 22-pound package cost $55. The additional weigth is 21 pounds.

So we have the first point (6, 25):

f(6)=b+s(6)=25\\\\b=25-6s

Then, for the second point (21, 55) we have:

b=25-6s\\\\f(21)=(25-6s)+s(21)=55\\\\25+(21-6)s=55\\\\15s=55-25=30\\\\s=30/15=2\\\\\\b=25-6(2)=25-12=13

Then, the prices are:

Base price: $13.

Surcharge: $2 per additional pound.

5 0
4 years ago
Which statement is true about the end behavior of the graphed function?
pantera1 [17]

Answer:

D

As x goes towards neg inf, y goes towards inf

8 0
3 years ago
Calculate the volume of the cylinder.<br> 4 cm<br> 10 cm<br> Use = 3.14.
Ymorist [56]
Volume is approximately 502.65 cm^2
6 0
3 years ago
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