A = 2(bh/2) + 2lw + bw
2(bh/2) comes from the area of one triangle being bh/2 and there are two triangles (so we multiply bh/2 by 2)
2lw comes from the areas of the 2 rectangle faces
bw comes from the third rectangular face
A = 2(bh/2) + 2lw + bw
A = bh + 2lw + bw
(If you multiple then divide a number by the same thing, you end up getting the same number you started with)
A = (24cm)(5cm) + 2(13cm)(10cm) + (24cm)(10cm)
A = 120cm^2 + 260cm^2 + 240cm^2
A = 620cm^2
Hope this helps!
Answer:
7 1/2
Step-by-step explanation:
Answer:
He invested in stocks Say, = x $
He invested in bonds = (x/2)+6000
So,
x+ x/2 +6000=30000
2x+x+12000=60000
3x= 48000
x=16000
Investment in stocks= 16000 $
Step-by-step explanation:
!!
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r
=
4000
v
=
13796
5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a
2
+
b
2
=
c
2
a
2
+
4000
2
=
(
4000
+
13796
5280
)
2
a
2
=
(
4000
+
13796
5280
)
2
−
4000
2
a
=
√
(
4000
+
13796
5280
)
2
−
4000
2
≈
144.6
Answer:
1/(5x^8y^13)
Step-by-step explanation:
To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law. The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: ![\frac{a^m}{a^n}= a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3D%20a%5E%7Bm-n%7D)
Therefore:
![\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\ \\\frac{1}{5x^8y^{13}}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E%7B-6%7Dy%5E%7B-3%7D%7D%7B15x%5E2y%5E%7B10%7D%7D%20%3D%5Cfrac%7Bx%5E%7B-6-2%7Dy%5E%7B-3-10%7D%7D%7B5%7D%3D%5Cfrac%7Bx%5E%7B-8%7Dy%5E%7B-13%7D%7D%7B5%7D%5C%5C%20%20%5C%5C%5Cfrac%7B1%7D%7B5x%5E8y%5E%7B13%7D%7D)