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dimulka [17.4K]
3 years ago
11

Tom spent 1/6 of the day working in the flower bed. Tom spent 2/3 of that time adding mulch to the flower bed. What fraction of

the day did Tom spend adding mulch?
Mathematics
1 answer:
maxonik [38]3 years ago
7 0
Since 1/6 of the day was spent in the flower bed and 2/3 of that was spreading mulch, we need to find 2/3 of 1/6 to find out how much of the day was spreading the mulch.

In math "of" means times
"is" means equals

2/3 of 1/6 is
 
translates to

2/3 x 1/6 =

Now we just multiply the numerators across and denominators across then reduce if possible...

2/3 x 1/6 = 2/18

2 and 18 both divide by 2 so it reduces

2/18 = 1/9

Tom spent 1/9 of the day spreading mulch.

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Please solve quickly ​
Alex Ar [27]

Answer:

77 inches

Step-by-step explanation:

sector formula = x°/360° × πr^2

=77°/360°×22/7×10.7×10.7

=76.96 in

As it is asked the nearest tenth it's 77 inches.

7 0
1 year ago
Read 2 more answers
Please help! Explain as well since I need to know material for the test
Illusion [34]

3a)

<h3>Answer: The sum of a+b+c+d is equal to 220</h3>

-------------

How I got this answer:

a+b+e = 180

c+d+f = 180

angles 'e' and 'f' are marked in the attached drawing below (see figure 1)

Add the two equations to get

(a+b+e)+(c+d+f) = 180+180

a+b+e+c+d+f = 180+180

a+b+e+c+d+f = 360

(a+b+c+d)+(e+f) = 360

(a+b+c+d)+(140) = 360 substutition (see below)

a+b+c+d = 360-140

a+b+c+d = 220

==========================================

3b)

The angles of the triangles add to 180 degrees each. The three angles e, f, and 40 add to 180 as well as they form a straight angle, so e+f+40 = 180 leading to e+f = 180-40 = 140. This will help us with the substitution rule I marked above

So the idea is you add up all the angles, and then take away the angles we don't want (e and f) so we end up with the sum of a+b+c+d

==========================================

4

<h3>Answer: 290</h3>

---------------------

Explanation:

Check out the attached image figure 2.

Angle DAE is given to be 30 degrees. Angle ADC is also equal to 30 because they are alternate interior angles.

Angle DCB is 40 degrees. The missing angle x of the triangle DCB is unknown for now, but we can solve for x

x+40+30 = 180

x+70 = 180

x = 180-70

x = 110

Therefore the purple angle marked in that diagram is 180-x = 180-110 = 70

The reflex angle to the 70 degree angle is 360-70 = 290

which is the shaded angle we want to determine

5 0
3 years ago
One batch of cookies requires the following ingredients: 2 13 cups of flour 34 of a cup of chocolate chips 25 of a cup of choppe
Mumz [18]

Answer:

B,AD

Step-by-step explanation:

BECAUSE I SAY IT

8 0
2 years ago
Alec is trying to find the surface area of a shoe box. What unit will he use?
Dahasolnce [82]
D) Square inches.
"Square" is used when measuring area and inches are more suited for measurement due to the size of the box.
3 0
3 years ago
What is the are of the following figure if AC = 12, AD = 16.
Degger [83]

Answer:

116

Step-by-step explanation:

∆ABC

A = ½bh = ½ × 12 × 6 = 36

∆ACD

A = ½bh = ½ × 16 × 7 = 56

∆ADE

A = ½bh = ½ × 16 × 3 = 24

ABCDE  

A = ∆ABC + ∆ACD +∆ADE = 36 + 56 + 24 = 116

The area of the figure is 116 square units.

7 0
3 years ago
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