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oee
2 days ago
10

If one termite can destroy 1.2mg of wood per day, how many kilograms of wood can 10 termites destroy in 1 week? *Can someone ple

ase explain how to do this*
Mathematics
1 answer:
AnnZ [9K]2 days ago
5 0
A group of 10 termites is capable of damaging 0.000084kg of wood in one week.

For clarity, converting milligrams to kilograms yields: 1.2mg = (1.2 / 1,000,000)kg equals 0.0000012kg. Consequently, a single termite will consume 0.0000012kg daily. Therefore, 10 termites will demolish a total of: (0.0000012 × 10) kg per day, resulting in 0.000012kg. As there are 7 days in a week, the total destruction across the week is calculated as 10 termites' daily destruction multiplied by 7, which translates to 0.000012 × 7 = 0.000084kg per week.

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A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is. enlarged by a factor of 2.
PIT_PIT [9101]

Answer:

Using a scale of 2" means "will take the original and enlarge it to twice its size".

Thus, the resulting photocopy will be double the dimensions of the original.

Step-by-step explanation:

5 0
1 day ago
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max invests $6000 in a savings account for 3 years. the account pays compound interest at a rate of 1.5% per year for the first
AnnZ [9071]

Answer:

2.1%

Step-by-step explanation:

The compound interest formula can be expressed as:

A=P(1+I)^n\\\\P-Principal \\A-amount\\i-compound \ interest \ rate

Starting with a Principal amount of $6000 and applying an interest rate of 1.5% for the first two years:

A=P(1+i)^n\\\\A_2=6000(1+0.015)^2\\\\A_2=6181.35

We calculate compound interest A_2 for one year at rate i, resulting in $6311.16:

A=P(1+i)^n, n=1, i=i, P=6181.35, A=6311.16\\\\6311.16=6181.35(1+i)^1\\\\\frac{6311.16}{6181.35}=(1+i)\\\\i=\frac{6311.16}{6181.35}-1\\\\i=0.02100

Thus, the interest rate for the third year is 2.1%

7 0
12 days ago
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What are the eight-digit grid coordinates for benchmark 86 (circled in red)?
lawyer [9226]

Answer:

An eight-digit grid coordinate allows for precision within 10 meters.

Step-by-step explanation:

Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.

The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.

3 0
1 month ago
The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population w
tester [8808]

Answer:

Step-by-step explanation:

The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as

A = P(1 + r)^t

Where:

A indicates the population after t years.

t symbolizes the number of years.

P is the initial population count.

r signifies the growth rate.

<pFrom the given data,

P = 6.1 × 10^9

r = 1.35% = 1.35/100 = 0.0135

t = 1

Hence,

A = 6.1 × 10^9(1 + 0.0135)^1

A = 6.1 × 10^9(1.0135)^1

A = 6182350000

The total number of people added would be

6182350000 - 6100000000

= 82350000

3 0
1 month ago
In ΔHIJ, the measure of ∠J=90°, JI = 4, HJ = 3, and IH = 5. What ratio represents the tangent of ∠I?
Inessa [8989]

Answer:

The ratio  \frac{3}{4} corresponds to the tangent of ∠I.

Step-by-step explanation:

Let’s revisit the trigonometric ratios:

  • sin Ф =  \frac{opposite}{hypotenuse}
  • cos Ф =  \frac{adjacent}{hypotenuse}
  • tan Ф =  \frac{opposite}{adjacent}

For triangle HIJ

∵ m∠J = 90°

- The hypotenuse is the side opposite the right angle.

So, HI is the hypotenuse.

∵ HJ = 3 units

∵ IH = 5 units

- We’ll apply the Pythagorean Theorem to solve for HJ.

∵ (HJ)² + (IJ)² = (IH)²

∴ 3² + (IJ)² = 5²

∴ 9 + (IJ)² = 25

- Subtract 9 from both sides.

∴ (IJ)² = 16

- Taking the square root on both sides gives:

∴ IJ = 4 units

To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.

∵ HJ is opposite to ∠I

∵ IJ is adjacent to ∠I

- Utilizing the rule of tan above:

∴ tan(∠I) = \frac{HJ}{IJ}

∴ tan(∠I) = \frac{3}{4}

The ratio \frac{3}{4} indicates the tangent of ∠I.

7 0
1 month ago
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