105 - 90 = 15kg
500g = 1/2 kg
Peter is 15kg overweight.
15 x 2 = 30
It will take him 30 weeks for this.
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:
on taking log both sides, we get
now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
Answer:
45 degrees
Step-by-step explanation:
a right angle is 90 degrees and there is a line splitting it in half equaly. We have to also divide 90 by 2 then which is 45 so 45 degrees.
Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:
<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>
Step-by-step explanation:
Clockwise, starting from the base of the pentagon, we have:
- Base of the pentagon or bottom side ≅ 4 units
- 2nd side ≅ 3.75 units
- 3rd side ≅ 3.75 units
- 4th side ≅ 3.75 units
- 5th side ≅ 3.75 units
In consequence,
Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75
<u>Perimeter of the pentagon ≅ 19 units</u>
