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2 years ago

14

In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z

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1 answer:

BabaBlast [244]2 years ago

6 0

Answer:

19

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

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The courtyard outside East Middle School is in the shape of a rectangle and half-circle.

Nadya [2.5K]

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area = 5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

8 0

3 years ago

Sonia makes a wooden frame around a square picture. The frame is made of four congruent trapezoids. The shorter base is 9 in, th

sp2606 [1]

answer

congruent trapezoide for one

0,5(9+12)×1,5=15,75

area of picture frame =4×15,75=63

8 0

2 years ago

Find the product 12 , -5

Nastasia [14]

The product of 12 and -5 is -5(12) = -60. Note that 12(-5) = -60 also.

4 0

3 years ago

What is the answer?<br><br> (Please help)

k0ka [10]

$\dfrac{bc}{b}=\dfrac{b}{b}\cdot\dfrac{1}{c}=1\cdot\dfrac{1}{c}=\boxed{\dfrac{1}{c}}\\\\\dfrac{\not b^1}{\not b_1c}=\dfrac{1}{1c}=\boxed{\dfrac{1}{c}}$

8 0

3 years ago

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.

Degger [83]

Answer:

1 solution

Step-by-step explanation:

Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...

-3x -3 +3x = -3x +3 +3

We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.

__

In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

__

<em>Additional comment</em>

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

8 0

3 years ago

Read 2 more answers