Answer:
10 cm
Step-by-step explanation:
we know that the perimeter of a rectangle= 2(l+w)
given that the perimeter is 46 cm and length is 13 cm, so by putting the values we get,
2(13+w)=46
= 26+2w=46 (opening the brackets)
= 2w= 46-26
= 2w=20
= w=20/2
w= 10 cm
Cheers.
Distance formula (See attachment below)
100 + 144
square root 244
15.620
Round to the nearest tenth
15.6
Answer:
The Answer is: y = -2/3x + 10/3
Step-by-step explanation:
Given points (-1, 4) and (8, -2) first find the slope:
m = (y - y1)/(x - x1)
m = (4 - (-2)) / (-1 - 8)
m = 4 + 2 / -9
m = -6/9 = -2/3
Use the point slope form and point (8, -2) and slove for y:
y - y1 = m(x - x1)
y - (-2) = -2/3(x - 8)
y + 2 = -2/3x + 16/3
y = -2/3x + 16/3 - 2
y = -2/3x + 16/3 - 6/3
y = -2/3x + 10/3
Proof using the point (-1, 4):
f(-1) = -2/3(-1) + 10/3
= 2/3 + 10/3
= 12/3 = 4, giving point (-1, 4)
Hope this helps! Have an Awesome Day!! :-)
Answer:
p = 6; RPQ = 60 degrees
Step-by-step explanation:
Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.
5p + 30 = 60
5p = 30
p = 6
So now you have determined that p = 6, and the measure of RPQ is 60 degrees.
Hope this helped!
Answer:
3. 60 ÷ 5 = 12
12 × 3 = 36
7 3/5 hours = 7 hours and 36 minutes
7:36 - 30 = 7:06
7:06 - 42 = 6:24
6:24 ÷ 6 = 1:04
A. 1 1/15 hours
4. fractions are equivalent regardless of the negative sign placement
A. 4/-9 = -4/9
5. 3/2 = 12
4/2 = 16
12 × 16 = 192
C. 192 square feet
7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)
1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)
1.5a - 0.5
D. 1.5a - 0.5
8. 552.50 × 0.88 = 486.2
486.2 ÷ 7 = 69.457
B. m > 69.45
19. -1/6 + 2/3(9 - 3/4) - 1/2
2/3 × 9/1 = 18/3
2/3 × 3/4 = 6/12
-1/6 + 18/3 - 6/12 - 1/2
-1/6 + 36/6 - 6/12 - 1/2
35/6 - 6/12 - 1/2
70/12 - 6/12 - 1/2
64/12 - 1/2
64/12 - 6/12
B. 58/12
