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Mkey [24]
3 years ago
11

Find the area of this parallelogram8cm10cm14cm​

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

112 cm^{2}

Step-by-step explanation:

A=bh

A=14*8

A=112

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beginning at sea level a scuba diver dove 1 2/3 feet into the water , and then dove an additional 3 2/5 feet at what elevation i
skad [1K]

The given details are illustrations of addition and subtractions of fractions.  The scuba driver is at an elevation of -5\frac{1}{15} ft below the sea  level.

Given that:

n_1 = 1\frac 23 --- the first dive

n_2 = 3\frac 25 ---- the additional dive

From the question, we understand that the diver starts at the sea level.

This is represented with 0ft.

So, the diver's elevation (d) is calculated as follows:

d = 0 - n_1 - n_2 --- we use subtraction because the diver is below the sea level

So, we have:

d = 0 - 1\frac 23 - 3\frac 25

d = - 1\frac 23 - 3\frac 25

Convert fractions

d = - \frac 53 - \frac{17}5

Take LCM

d = \frac{-5 \times 5 - 17 \times 3}{15}

d = \frac{-76}{15}

Reduce fraction

d = -5\frac{1}{15}

The above value means that the diver's elevation is at -5\frac{1}{15} ft below the sea  level.

Read more about fractions at:

brainly.com/question/18134643

5 0
3 years ago
Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?
Archy [21]

Step-by-step explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

6x = 216

x = 36

hence,

angle 2 = 2(36) + 10 = 82deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

4 0
3 years ago
Part A<br> Rewrite 0.5 as an exponential expression with a base of 2.
koban [17]

Answer:

2^{-1}

Explanation:

05/10

Simplifying

1/2

or 2^-1

Hope this helps you. Do mark me as brainlist

4 0
2 years ago
Find the Prime Factorization of -165
Ghella [55]

Answer:

(-1)(11)(3)(5)

Step-by-step explanation:

First off:  -165 separates into the factors (-1) and (165).  Next, we divide 165 by 15, obtaining 15(11).

So far, we have (-1)(11)(15).

15 is still factorable.  We get:

(-1)(11)(3)(5), which is the desired prime factorization of -165.

6 0
3 years ago
Population Growth The population of a town of 5000
Nesterboy [21]

Answer:

a) A=5000{(1.03)}^{t}

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}

b) Apply the formula:

A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464

The town will have 5464 inhabitants.

5 0
3 years ago
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