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Scilla [17]
3 years ago
11

Look at diagram..............

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

131°

Step-by-step explanation:

Neporo4naja [7]3 years ago
8 0

Answer:

131

Step-by-step explanation:

angle RSP and and OPS are supplementary angles meaning they will add up to equal 180.  180-49=131 so angle OPS=131

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In triangle ABC above, AD is perpendicular to CB. If the lengths of AD and CB were both increased by 50%, how would the area of
astra-53 [7]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, equilateral triangle, isosceles triangle.

The area of a triangle is given as:

A = (1/2) * b * h

where b = base of triangle, h = height of triangle , A = area

Let BC = base = x, and AD = height = y, hence:

A = (1/2) * x * y = 0.5xy

If the lengths of AD and CB were both increased by 50%, hence:

new AD = y + 0.5y = 1.5y, new CB = x + 0.5x = 1.5x

The new area= (1/2) * 1.5y * 1.5x = 1.125xy

Increased area / area = 1.125xy / 0.5xy = 2.25

If the lengths are increased by 50%, the area would also increase and the new area would be 2.25 times

3 0
3 years ago
Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

__

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

__

2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

  x = 24

5 0
3 years ago
Read 2 more answers
One equation in a linear system of two equations is 3x - 2y = 8. the system has an infinite number of solutions. which could be
kumpel [21]

The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.

A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.

For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.

Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.

To do this, simply multiply the whole equation with a real number.

Example:

Multiplying the whole equation by 2 gives 6x - 4y = 16.

Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.

If you want to know more about systems of equations with infinite solutions, visit brainly.com/question/27927692.

#SPJ4

8 0
2 years ago
W+3 /3 = -4<br> Solve what (W) = <br> Im having trouble solving this can someone help <br> Thanks :)
poizon [28]

Answer:

w = - 15

Step-by-step explanation:

Assuming you mean

\frac{w+3}{3} = - 4 ( multiply both sides by 3 to clear the fraction )

w + 3 = - 12 ( subtract 3 from both sides )

w = - 15

5 0
3 years ago
Read 2 more answers
How can you be sure that 9.9 ÷ 1,000 = 0.0099?
Nastasia [14]

Answer:

When dividing by 1000, move the decimal point three places to the left (the last one)

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
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