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r-ruslan [8.4K]
2 years ago
9

Find the value of z in parallelogram CDEF

Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

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A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cub
professor190 [17]

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

<h3>What is the volume of an hemisphere?</h3>

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

  • r = radius

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: brainly.com/question/14527816

5 0
2 years ago
Help with this question please
mihalych1998 [28]

The number from standard form to decimal form is as follows:

2.077  ×  10⁻⁴ = 0.0002077

<h3>How to express number in standard form?</h3>

Standard form is a convenient way of writing very large or very small numbers.

Standard form is a way of writing a number so it is easier to read.

Standard form is like scientific notation and is typically used in science.

Standard form is like scientific notation and it is represented in the format as follows:

a × 10ᵇ

Therefore, the number is already in standard form but we can convert it back to decimal form as follows:

2.077  ×  10⁻⁴ = 2.077 × 1 / 10000 = 0.0002077

learn more on standard form here: brainly.com/question/17170676

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4 0
1 year ago
Find the median and the mode of the data.
frosja888 [35]

Answer:

Median: 8

Mode: 7

I believe this is correct.

7 0
2 years ago
Read 2 more answers
Eva bought popcorn, candy and a drink at the movies. The popcorn was three times as expensive as the candy and the drink was twi
aliina [53]

The cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Given,

Eva bought popcorn, candy, and a drink at the movies.

The popcorn was three times as expensive as the candy and the drink was twice as expensive as the candy.

Eva spent a total of 10.50

We need to find the cost of popcorn, candy, and drink.

We have,

Let the cost of the candy be C.

Now,

The popcorn was three times as expensive as the candy.

Cost of the Popcorn = 3C

The drink was twice as expensive as the candy.

Cost of the drink = 2C

Eva spent a total of 10.50

Cost of popcorn + cost of drink + cost of candy = 10.50

3C + 2C + C = 10.50

Adding

6C = 10.50

Dividing by 6 into both sides

C = 10.50/6

C = 1.75.

Now,

Cost of the Popcorn = 3C = 3 x 1.75 = 5.25

Cost of the drink = 2C = 2 x 1.75 = 3.5

Cost of the candy = C = 1.75

Thus the cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Learn more about finding the cost of items with the given total cost here:

brainly.com/question/357628

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6 0
1 year ago
For 12-15, find the missing measures
Bess [88]
12.

7, 14, 14pi, 7^2pi

13.

13, 26, 26pi, 13^2pi

14.

9, 18, 18pi, 9^2pi


15.

10, 20, 20pi, 10^2pi
4 0
3 years ago
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