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cricket20 [7]
3 years ago
8

Determine o número formado por: (5×100) + (7×10) + 8

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0
The answer is 578....................
Orlov [11]3 years ago
3 0
First, You do 5*100 which is 500
Then, you do 7*10 which is 70
Your 8 is basically 8+0 which is 8
Next, You do 500+ 70+8
578 is your answer
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Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137
Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em>78.70^\circ.

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle \triangle ABC with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles \angle A, \angle B, \angle C

As per Law of cosine:

cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}

Putting the values of a,b and c to find out angles \angle A, \angle B, \angle C.

cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ

cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ

cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ

<em>Camera 2nd has to cover the maximum angle</em>, i.e. 78.70^\circ.

6 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0
3 years ago
5% of what number is 12? I need to find the whole
dalvyx [7]

Answer:

240

5 goes into 100, 20 times.

so u get 240 divide by 100 u get 2.4 multiply it by 5 u get 12.

8 0
3 years ago
Read 2 more answers
What is 2a+4b= and whats the equation
Ronch [10]

Answer:

 .2 ( a + 2 b )

Step-by-step explanation:

Factor  

2

out of  

2 a + 4 b  

4 0
3 years ago
Read 2 more answers
Mel use partial quotients to find the quotient of 378 ÷3 what could be the partial quotient that Mel found
UNO [17]
378 divided by 3 = 126 
So your answer is 126
3 0
3 years ago
Read 2 more answers
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