The perimeter of a rectangle is 52 meters. The length is 2 1/4 times the width. What are the dimensions of the rectangle

A single die is rolled twice. Find the probability of rolling an

Nady [450]

Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

6 0

2 years ago

Use the zero product property to find the solutions to the equation x^2 + x -30=12

Alla [95]

Answer:

The solutions are x = -7, 6.

Step-by-step explanation:

To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

$x^2 + x - 30 = 12\\x^2 + x -42=0\\(x+7)(x-6) = 0$

x+7 = 0

x = -7

and

x-6 = 0

x = 6

The solutions are x = -7, 6.

6 0

3 years ago

Read 2 more answers

Covert the following measurements 13 miles to yards

Molodets [167]

1 mile = 1760 yards
Therefore you must times 13 by 1760
13x1760 = 22880

4 0

3 years ago

Write the converse of the following statement:

Shkiper50 [21]

Answer:

Option 4 (If it is fall, then the trees have no leaves).

Step-by-step explanation:

Conditional Statements are the statements which involve "if" and "then". It contains two sets of statements in it. The statement after the word "if" is the hypothesis, and the statement after the word "then" is the conclusion. Conditional statements are written in the form "If A, then B"; where A is the hypothesis, and B is the conclusion. The converse of a conditional statement is the opposite of the original statement: hypothesis and conclusion replace each other. So the converse of the above statement will be "If B, then A".

In this case, A=The trees have no leaves and B=It is fall. Therefore, the converse will be:

If it is fall, then the tress have no leaves. Option 4 is the right answer!!!

5 0

3 years ago

Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)

UNO [17]

Therefore, the equation of circle is: $(x+3)^{2}+(y+5)^{2} = 100$

<h3><u>What is a circle?</u></h3>

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius of a circle is the separation between any point on the circle and its center.
The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that $(h,k) = (-3,5)$ but we are not given the radius.