For the triangle:
Measure base x height divided by 2
= 4 x 3 / 2
= 12 / 2
= 6 km squared
Semi Circle:
area of a circle = pi r squared
= 3.14 x 2 km squared (half of the 4km diameter)
= 3.14 x 4 (4 is 2 squared)
= 12.56 divided by 2 (since it’s half of a circle)
= 6.28 km squared
Total:
6 + 6.28 = 12.28 km squared
The map tells you 1 inch = 0.5 miles.
Multiply each dimension on the map by 0.5 to get the miles, then add them together:
House to Sports store = 2 x 0.5 = 1 mile.
Sports store to Jay's house = 3.75 x 0.5 = 1.875 miles.
Jay's house to park = 1.5 + 0.5 = 2 inches x 0.5 = 1 mile.
Total distance = 1 + 1.875 + 1 = 3.875 miles.
A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer:
The slope is 2
Step-by-step explanation:
Answer:
The perimeter of triangle MNP is 130 units
Step-by-step explanation:
By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it
This mean RS is half MN, QS is half NP and QR is half MP
Using this, we have it that;
2(x + 4) = 5x - 34
2x + 8 = 5x -34
5x-2x = 34 + 8
3x = 42
x = 42/3
x = 14
So we have RS which is x + 4 as 14 + 4 = 18
The perimeter of the smaller triangle is the sum of its side lengths
We have this as;
22 + 25 + 18 = 65
Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller
thus, we have the perimeter of MNP as 2(65) = 130 units
