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Over [174]
2 years ago
10

In the right triangle shown <A =30°and BC =6​

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

Answer:

AB=150 degrees

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How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
2 years ago
Read 2 more answers
An electrician paid $153.06 total for 1000 feet of wire how much does he pay per foot of wire
vesna_86 [32]
For every zero you move one decimal place to the left. there are 3 zeroes in 1000.



153.06

3 decimal places to the left

0.15306
6 0
3 years ago
Verify the identity. cos quanity x plus pi divided by two = -sin x
7nadin3 [17]

Answer:

see below

Step-by-step explanation:

cos ( x+pi/2) = -sinx

We know that

cos(A + B) = cos A cos B - sin A sin B

Let x = A and pi/2 = B

cos x cos pi/2 - sin x sin pi/2 = -sin x

We know cos pi/2 = 0  and sin pi/2 = 1

cos x * 0 - sin x *1 = -sin x

- sin x = - sin x

4 0
3 years ago
A factory worker packs 32 mugs into the bottom layer of a box for shipping. If each box can hold 6 layers of mugs, how many mugs
anygoal [31]
32 mugs per layer.
x 6                   x6
--------------------------
192 mugs per 6 layers.
5 0
3 years ago
Read 2 more answers
The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can
zlopas [31]

Answer:

  80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

  $2.00/5 = $0.40

The revenue per square meter for buses is ...

  $6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.

6 0
3 years ago
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