Answer:
1) 35+5w=110
2) the starting heart rate is 73 beats per minute
3)B
4) 6mins
Step-by-step explanation:
1) since she deposits 5 dollars each week we can multiply 5 and w to find out how much money hes depositing after all the weeks are done. We need to add that with 35 to get the TOTAL money in the bank account.
2) 73 is the y intercept. The y intercept is the number when "x" is 0. So when hes just starting out/not excersizing his heart beats 73 beats per min.
3) we know that 10% of her tips is given back to her hence x(number of tips) is multiplied by 0.1, and added to 50 to find the total amount of money she receives
4) 6 mins for 1 order
Answer:
Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.
2. 45, 135, 135
Step-by-step explanation:
2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.
For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1
180-45=upper angle 1
upper angle 1 = 135 degrees
Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.
Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.
135+135=270 degrees (sum of upper angles)
45+45= 90 degrees (sum of base angles)
270+90=360
So the angle measures of the other three angles are 135, 135, and 45.
Hope this helps!
Answer:
equalateral
Step-by-step explanation:
hope this helps
Answer: make 6 jumps which are 0.4 long to get 2.4
Step-by-step explanation:
Answer:
It is an acute triangle.
Step-by-step explanation:
It would be much easier for you to see where I'm getting at if you draw a diagram.
Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.
cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))
∠A = cos^-1(0.82291...)
∠A ≅ 34.6°
cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))
∠B = cos^-1(0.024...)
∠B ≅ 56.8°
∠C = 180 - (∠A + ∠B)
∠C ≅ 56.8°
Since there is no right-angle nor is there an obtuse angle,
Therefore the triangle is an acute triangle.