Answer:
D.) 1/3
Step-by-step solution:
12/36 can be simplified to 1/3.
Answer:
$70
Step-by-step explanation:
Middletown Equation:
1c +50 = T
Sweet Shoppe Equation:
2c + 30 = T
Set equations equal to one another and solve for first for cupcakes then for cost.
1c + 50 = 2c + 30
c+ 20 = 2c
20 = c (twenty cupcakes would be ordered)
Now insert into either equation ( or both to check)
1(20) + 50 = 70
2(20)+ 30 = 70
Total cost would be $70
HOPE THIS HELPS!!!
The figure is not attached. So, I have attached it from the link- brainly.com/question/4198293
Answer:

Step-by-step explanation:
Label the triangle ABC as shown below.
Given:
AB = 8, BC = 15, AC = 17, m∠ABC = 90°, m∠ACB = 28°, m∠BAC = 62°
The tangent of a given angle is given as the ratio of the opposite side and the adjacent side. The opposite side is the side opposite to the angle. The adjacent side is the other leg of the right angled triangle.
Here, the opposite side to angle A is BC and adjacent side is AB.
Therefore, the tan ratio of angle A is given as:

Hence, tan 62 = 1.875.
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)