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3 years ago

True or false the side lengths 5, 7 and 9 form a right triangle

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

Answer:

False I think

Step-by-step explanation:

LiRa [457]3 years ago

7 0

Answer:

False

Step-by-step explanation:

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Find each pair of integers, given their sum and product. sum -14, product +24 sum +3, product -18

kvv77 [185]

+3 and -18
The pair of integers are -3 and 6.
-3 + 6 = +3
-3 * 6 = -18

-14 and +24
The pair of integers are -2 and -12
-2 + -12 = -14
-2 * - 12 = +24

3 0

3 years ago

A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants o

I am Lyosha [343]

Answer:

radius = 30 yd , cost of cement = $7065

Step-by-step explanation:

First we will find the area of the circular sectors. From that we can find the cost of cement and their radius.

The area of the playground is ...

playground area = (109 yd)^2 = 11,881 yd^2

Then the area of the skating rinks is:

rink area = playground area - remaining field

rink area = 11,881 yd^2 - 9,055 yd^2 = 2,826 yd^2

Then the cost of cement for the rink area is ...

(2826 yd^2)($2.50 yd^2) = $7065

The four quarter-circle skating rinks add to a total area of a full circle. That area is given by ...

A = πr^2

Put the values in the formula:

2826 = 3.14r^2

Divide both sides by 3.14

900 = r^2

By taking square root at both sides we get,

30 = r

The radius of each quadrant is 30 yards....

6 0

2 years ago

Jon is looking into a 4250 vacation package that is offered for 25% off. there's a 9% resort fee added on to the total. How much

bazaltina [42]

When you want to find a percent of a number you do this:
given number/ 1 multiplied by percentage/100

so in this question its a multiple step

start with finding 25 percent of 4250 which is= 1062.5
so thats how much the discount is so the amount after the 25% discount is:
4250-1062.5= 3187.5

then you have to add 9% due to fees
so you find 9% of 3187.5 which is= 286.875
so you add 286.875 to 3187.5 gives you= 3437.375 in total cost for the vacation package

8 0

3 years ago

For the line segment whose endpoints are X(1, 2) and Y(6, 7), find the x value for the

finlep [7]

Answer:

3) 2.7

Step-by-step explanation:

The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ can be determined by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Since the points are X(1, 2) and Y(6, 7). The distance between the two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(6-1)^2+(7-2)^2}=\sqrt{50}$

the x value for the point located 1/3 the distance from X to Y,

$x=\frac{x_2-x_1}{3}=\frac{6-1}{3}=1.7$

The x value = $x_1+1.7 = 1+1.7 = 2.7$

6 0

2 years ago

Read 2 more answers

Let G be a connnectde graph with n vertices and m edges. supposed also that m = n. prove that G contains exactly one cycle

ElenaW [278]

Answer:

Contradiction

Step-by-step explanation:

Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.

7 0

3 years ago