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Arte-miy333 [17]
2 years ago
13

Which of the following graphs represents the inequality 10x-5y

\leq" alt="\leq" align="absmiddle" class="latex-formula">50
Mathematics
1 answer:
puteri [66]2 years ago
8 0

Answer:

1st Graph

Step-by-step explanation:

Edge2020

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Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process. Which summary describes t
Ivenika [448]

Answer:

C. Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Step-by-step explanation:

The steps are below:

1. A diameter of the circle is drawn.

2. A perpendicular bisector of the diameter is drawn using the method described in the perpendicular bisector of a segment. This is also a diameter of the circle.

3. The resulting four points on the circle are the vertices of the inscribed square.

4 0
3 years ago
Two triangles have bases with lengths 5in and 8in.
Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

7 0
2 years ago
Wou help video
iragen [17]

Answer:

The image is (-18,0)

Step-by-step explanation:

Here, we want to find the image of the given point after dilation by the given scale factor

Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;

(kx , ky)

Applying this in the given scenario, we have

(2(-9) , 2(0))

= (-18,0)

8 0
2 years ago
Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90
Ira Lisetskai [31]

Answer:

3.6 gB

Step-by-step explanation:

You can think of this question in terms of the y = mx+b equation.

$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.

78.9 = 4x + 64.5

4x = 14.4

x = 3.6 gB of data (or 3 if it wants a whole number)

7 0
2 years ago
A basketball player attempts 18 baskets in a game. He makes 8 of the attempted baskets. Which ratio describes the number of bask
EleoNora [17]

Answer:

4:9

Step-by-step explanation:

8:18 in simplest form is 4:9

7 0
2 years ago
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