Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
Answer: Height at which the wire is attached to the pole is 12 feet.
Explanation:
Since we have given that
Length of the wire = 20 feet
Let the height at which wire is attached to the pole be h
and distance along the ground from the bottom of the pole to the end of the wire be x+4
Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".
But height cant be negative so, height will be 12 feet.
Hence, height at which the wire is attached to the pole is 12 feet.
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Answer:
- <u>Third choice: {3, 4, 6, 7, 9}</u>
Explanation:
<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.
The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.
The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.
The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.
So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.
Answer:
Expected value is 4,000
Step-by-step explanation:
To find expected value ⇒ multiply the value by it's probability
40% × ( -25,000 ) = - 10,000
Breaking means neither add nor subtract a given amount
20% × 0 = 0
35% × 40,000 = 14,000
∴ Expected value = -10,000 + 14,000 = 4,000
LOSS: -10,000
BREAK EVEN: 0
WIN: 14,000
Expected value is 4,000
<em>hope this helps....</em>
