Find the measure of angle 2

Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg lesss strawberries in the morning tha in the afte

Tpy6a [65]

Answer:

$3\frac{13}{20}=3.65$ kg.

Step-by-step explanation:

Let S be amount of strawberries picked in the afternoon.

We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are $2\frac{1}{4}$ kg.

To find the amount of strawberries picked by Sheldon in the afternoon we will add $2\frac{1}{4}$ and $1\frac{2}{5}$ :

$S= 2\frac{1}{4}+1\frac{2}{5}$

Upon converting our given mixed fractions into improper fraction we will get,

$S= \frac{9}{4}+\frac{7}{5}$

Now let us have a common denominator.

$S=\frac{9*5}{4*5}+\frac{7*4}{5*4}$

$S=\frac{45}{20}+\frac{28}{20}$

$S=\frac{45+28}{20}$

$S=\frac{73}{20}$

$S=3\frac{13}{20}$

$S=3.65$

Therefore, Sheldon picked $3\frac{13}{20}=3.65$ kg of strawberries in the afternoon.

3 0

3 years ago

Quadrilateral ABCD is inscribed in this circle.

Lelechka [254]

Answer:

m∠C = 122°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means

m∠A + m∠C = 180°

m∠B + m∠D = 180°

To find angle C we need to find x, then subtract m∠A from 180°

x+20=3x

20=2x

x=10

Now we substitute 10 in for x

m∠A=2(10)+38

m∠A=20+38

m∠A=58°

Now we subtract this value from 180.

m∠C=180-58

m∠C=122°

4 0

2 years ago

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 30 km/h. How fast is

Marrrta [24]

Answer:

150 km/h

Step-by-step explanation:

because it's then 2 together

4 0

3 years ago

On Saturday, 150 people at a movie theater purchased popcorn, and 350 people did not purchase popcorn. What percentage of people

MaRussiya [10]

Answer:

<u>70%</u> of people did not order popcorn at the movie theater on Saturday.

Step-by-step explanation:

first, add to get the total amount of people

150 + 350 = 500

now that we have the total, divide the people that did not buy popcorn by the total amount of people

350/500 = 0.7

then, multiply that by 100

0.7 x 100 = 70

your final answer would be 70%

7 0

3 years ago

AD= 36 cm. Points C, B∈AD, such that AB:BC:CD=2:3:4. Find the distance of midpoints of the segments AB and CD.

brilliants [131]

Answer:

The distance of the midpoints of AB and CD is 24 cm

Step-by-step explanation:

The given information are;

The length of AD = 36 cm.

C and B are points on AD

The ratio of AB:BC:CD 2:3:4

The distance of the midpoints of segments AB and CD required

Therefore, we have the following proportion of the total length, 36

Segment AB = 2/(2 + 3 + 4) = 2/9×36 = 8 cm

Segment BC = 3/(2 + 3 + 4) = 3/9×36 = 12 cm

Segment CD = 4/(2 + 3 + 4) = 4/9×36 = 16 cm

The x-coordinate of the midpoint of segment AB = 4 cm

The x-coordinate of the midpoint of segment CD = 8 + 12 + 16/2 = 28 cm

Which gives;

The distance of midpoint of segment AB from A = 4 cm

The distance of midpoint of segment CD from A = 28 cm

And the distance of the midpoints of AB and CD = 24 - 4 = 24 cm.

4 0

3 years ago