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3 years ago

Simplify:

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

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EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x.<br> PLEASE HELP ASAP!

djyliett [7]

Answer:

If EFGH is an isosceles trapezoid,

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12 and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

5 0

3 years ago

Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t

uysha [10]

No, Shani is not right.
The 1st customer to get popcorn and apple juice is the 18th customer.
She missed that 18 is a common multiple of 6 & 9

8 0

4 years ago

Find the area of the kite

Brrunno [24]

The area of the kite is 70 square cm.

Step-by-step explanation:

Step 1:

From the given question, the diagonals measure 14 cm and 10 cm. The longer diagonal of the kite is taken as q and the shorter one is taken as p.

So for the given kite, p is 10 cm long and q is 14 cm long.

The area of a kite is half the product of the diagonals of the kite.

The area of the kite $= \frac{(p)(q)}{2}.$

Step 2:

Substituting the known values, we get

The area of the kite $= \frac{(p)(q)}{2} = \frac{(10)(14)}{2},$

$\frac{(10)(14)}{2}= \frac{140}{2} = 70.$

So the area of the kite is 70 square cm.

7 0

3 years ago

What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0

1 year ago

Gina lives 12 miles from school.she rides her bike everyday.if the tire popped by a nail when she was 1/4 of the way to school h

Citrus2011 [14]

3 miles is the answer

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3 years ago