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3 years ago

Find the area A if b = 14 cm and h = 6 cm

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

(14)(6)=84 (base)(height)

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Point X of triangle XYZ is located at (-5, -6). If triangle XYZ is translated 3 units

bonufazy [111]

Answer:

(-6,-9)

Step-by-step explanation:

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2 years ago

A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di

kolbaska11 [484]

Answer: 586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter = 1.8 inches

⇒Inner radius :r = 0.9 in. (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

$V=\pi(R^2-r^2)h$ , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

$V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)$

$V=(3.14)(6.4516-5.225796)(152.4)$

$V=(3.14)(1.225804)(152.4)$

$V=586.591342944\approx586.59\ cm^3$

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0

2 years ago

What is the length of the unknown leg

likoan [24]

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the unknown leg

$a^{2} +b^{2}=c^{2}$

Since we need to solve for a, we will manipulate the equation in terms of b and c → $a=\sqrt{c^{2}-b^{2} }$

Here, b = 7 mm and c = $\sqrt{85}$ mm

Plugging these numbers into our equation gives us $a=\sqrt{(\sqrt{85})^{2} -(7)^{2} }$ → $\sqrt{85-49}$ = $\sqrt{36}$ = 6 mm

6 0

2 years ago

Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

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2 years ago

What is 7 1/2 divided 3/4

frosja888 [35]

Answer:

Step-by-step explanation:

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2 years ago