Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
When the triangle XYZ is dilated by a scale factor of 2, the resulting triangle ACB would have a bigger side lengths
<h3>How to determine the relationship between the trigonometry ratios?</h3>
From the question, we understand that:
The dilation of triangle XYZ gives triangle ACB
This means that, the following points are corresponding:
X and A
Y and C
Z and B
So, the relationships between the trigonometry ratios are:
sin(X) = sin(A)
sin(Y) = sin(C)
sin(Z) = sin(B)
<h3>How to determine the measures of segments CB and AB?</h3>
Segments CB and AB are corresponding to the segments YZ and XZ, respectively
So, we multiply the values of YZ and XZ to get the lengths of CB and AB,
i.e.
CB = 2 * YX
AB = 2 * XZ
Read more about dilation at:
brainly.com/question/26332230
Answer:
(x-4)^2 + (y+1) ^2 = 25
Step-by-step explanation:
We can write the equation for a circle
(x-h)^2 + (y-k) ^2 = r^2
Where (h,k) is the center and r is the radius
(x-4)^2 + (y- -1) ^2 = 5^2
(x-4)^2 + (y+1) ^2 = 5^2
(x-4)^2 + (y+1) ^2 = 25
Question:
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
Answer:

Step-by-step explanation:
Given

Required
Determine its equivalent
To do this, we simplify the fraction
Divide by 2/2


<em>Hence, 2/5 is an equivalent fraction</em>