Answer:
42
Step-by-step explanation:
1
29
+13
42
Answer:
The value of x = 15
Hence,
- BC = 2x+1 = 2(15)+1 = 30+1 = 31 in
- AC = x-3 = 15 - 3 = 12 in
Step-by-step explanation:
We know that the perimeter of a triangle is the sum of all the sides of a triangle.
Given
Perimeter = 58 in
AB = x
BC = 2x+1
AC = x-3
so the equation becomes
Perimeter = AB + BC + AC
58 = x + 2x+1 + x-3
58 = 4x - 2
4x = 58+2
4x = 60
4x/4 = 60/4
x = 15
Thus, the value of x = 15
Hence,
- BC = 2x+1 = 2(15)+1 = 30+1 = 31 in
- AC = x-3 = 15 - 3 = 12 in
VERIFICATION
Perimeter = AB + BC + AC
58 = 15+31+12
58 = 58
Answer:
27.2m
Step-by-step explanation:
First, I drew a diagram (see below). I realized that I was dealing with two triangles: one using the angle of depression and the other using the angle of elevation. I then got as much information as I could by solving for the third unknown angle at each triangle. Now, I solved using law of sines for the leg of the triangle that correlated to the height of the building. I used the law of sines because I had two angles and one side. I then added the two lengths of the legs to get the height of the building.
Answer:
Step-by-step explanation:
The explanation is given in the attached picture below
Common core math is a series of mathematical standards that a student is taught about in preparation for their academic endeavors in college. Applicable common core standards that could be used here is the PEMDAS rule and the Commutative Property
The PEMDAS rule stands for parenthesis, exponent, multiplication, division, addition and subtraction. When there are multiple operations involve, you use the PEMDAS rule to help you prioritize. But since the equation only involves addition, no need to use PEMDAS. You just have to know the Commutative Property of Addition. This property states that if a + b = c, then b+ a = c. In other words, the final answer would remain unchanged even if your rearrange the order of terms in addition. Applying the property, we solve the equation as it is: <span>34 + 0 + 18 + 26 = 78.</span>