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SashulF [63]
3 years ago
13

The figure shows the dimensions of a metal sign. The shaded part of the sign is painted blue.

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.

to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.

large area :

12 × 15 / 2 = 6 × 15 = 90 ft²

small area :

8 × 10 / 2 = 4 × 10 = 40 ft²

the shaded area is

90 - 40 = 50 ft²

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Solve the equation tanxtan(x – 45°)=0 for 0° < x < 360°.
Lady_Fox [76]

Answer:

\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)

Step-by-step explanation:

4 0
3 years ago
7 times the sum of a number and 3
insens350 [35]

Answer:

Step-by-step explanation:

7x+3

3 0
3 years ago
For lunch, Kile can eat a sandwich with either ham or a bologna and with or without cheese. Kile also has the choice of drinking
Scorpion4ik [409]

Answer:

8

Step-by-step explanation:

Ham with or without cheese-2 choices

Bologna with or without cheese-2 choices

Bologna with cheese with water or juice-2 choices

Bologna without cheese with juice or water-2 choices

Ham with cheese with juice or water -2 choices

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4 0
3 years ago
Factor 16x2 + 40x + 25
scoray [572]
The answer is c to your question
3 0
3 years ago
Which triangle is it ?
coldgirl [10]
The answer is: The first triangle. The reasons are shown below:

 1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

 Tan(α)^-1= opposite leg/adjacent leg

 Opposite leg=5
 Adjacent leg=5√3

 Tan(α)^-1= 5/5√3
 Tan(α)^-1=30°

 2. Let's calculate the other angle:

 Tan(α)^-1= opposite leg/adjacent leg

 Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

 Tan(α)^-1= 5√3/5
 Tan(α)^-1=60°

 As you can see, the angles of first triangle are: 30°,60° and 90°. 
5 0
3 years ago
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