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2 years ago

A block of wood has the mass of 180 grams. It is 10cm long, 6cm wide and

Mathematics

1 answer:

pychu [463]2 years ago

5 0

Answer:

$.75g/cm^3$

Step-by-step explanation:

density = mass / volume

We already know the mass - 180g

Find the volume

$10cm * 6cm * 4cm = 240 cm^{3}$

Plug in the volume and mass in the density formula

$density = 180g / 240cm^{3}$

Simplify

$Density = .75g/cm^{3}$

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What is the value of X?

d1i1m1o1n [39]

Answer:

x=10

Step-by-step explanation:

We can use the angle bisector theorem to solve this problem

8 12

-------- = ---------

x+4 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x -12x +8 = 12x-12x +48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

4x/4 = 40/4

x=10

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2 years ago

Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2

CaHeK987 [17]

Answer:

Option B. $20\ ft^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=4\frac{2}{3}\ ft$

$h=8\frac{4}{7}\ ft$

Convert mixed numbers to an improper fractions

$b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft$

$h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft$

substitute the values

$A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}$

5 0

2 years ago

Read 2 more answers

A carpenter needs to cut four sections, each 3–feet 8–inches long, from a piece of molding. If the board is only sold by the foo

Volgvan

3 feet 8 inches converted to inches is 3x12+8=44inches

44inches times 4 pieces is 176 inches.

176 inches converted back to feet and inches is 176/12=14 feet 8 inches so he would need 15 feet of board

3 0

3 years ago

Please help me out :)

Alex17521 [72]

79-y=2y+22

Add y on both sides

79=3y+22

Subtract 22 from both sides

57=3y

Divide by 3 on both sides

19=y

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2 years ago

What length will Zaragoza need

Dafna11 [192]

Answer:

A. 58 ft

The drawings will help

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2 years ago