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BartSMP [9]
3 years ago
13

3.8 times 10-8 to standard notation

Mathematics
1 answer:
OLga [1]3 years ago
8 0
Standard notation is when the number is fully written. If your question is 3.8 times 10 to the negative 8th, then the answer is 0.000000038. If your question is 3.8 times 10 the positive 8th, then the answer is 380,000,000.
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Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
Shtirlitz [24]
I think it’s 222 because he runs 18.5 miles every week and 18.5 x 12 = 222
3 0
3 years ago
5. An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s2 when the board hits the victim. H
suter [353]

The force exerted on victim is 20 newton

<em><u>Solution:</u></em>

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 m/s^2 when the board hits the victim

To find: Force exerted on victim

<em><u>The force is given by formula:</u></em>

F = mass \times acceleration

From given,

mass = 2 \text{ kg }\\\\Acceleration = 10 m/s^2

<em><u>Substituting the values in formula,</u></em>

Force = 2 \times 10 = 20

Thus force exerted on victim is 20 newton

6 0
3 years ago
$765.13 is deposited at the end of each month for 3 years in an account paying 2% Interest compounded monthly. Find the final am
Crank

Answer:

Option B.

Step-by-step explanation:

The future value formula, for an annuity, is:

FV = \frac{P((1+r)^{n} - 1)}{r}

An annuity means that a number of payments happen during the period(an year, for example).

P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.

In this question:

Deposits of $765.13, so P = 765.13

Each month, for 3 years. An year has twelve months, so n = 3*12 = 36

2% Interest a year. An year has 12 months, so r = \frac{0.02}{12} = 0.00167

Find the final amount of the account.

FV = \frac{765.13*((1 + 0.00167)^{36} - 1)}{0.00167} = 28,363.46

The final amount of the account will be $28,363.46, which is option B.

8 0
3 years ago
Calculate the missing angle and give a reason for your answer
larisa86 [58]
Here’s the proof:

The triangle is an Isosceles Triangle. An Isosceles Triangle is a type of triangle that has 2 congruent sides. There is a Theorem called The Isosceles Triangle Theorem, in which states that if a triangle has 2 congruent sides, then it is an Isosceles Triangle, and the angles oppositely the congruent sides will be congruent. Therefore, we know that the triangle is Isosceles because it has 2 congruent sides, so the angles opposite those sides are congruent. We first need to find the angle measures.

1.) Finding the angle measures using the Triangle Sum Theorem. The Triangle Sum Theorem states that all 3 angles in a triangle must sum up to 180°. So, we can create an Algebraic equation to solve and figure out what the angle measures are of the two angles at the bottom of the triangle because they are opposite to the congruent sides.
Equation:
26+2x=180. We know that one angle measure is 26°, and we know the other 2 are angles are congruent, so we will call them X, and there are two of them, so we call them 2x.
26-26+2x=180-26
2x=154
2x/2=154/2
x=77.
Therefore, the angles measure 77°. To check that we can just plug them back into our equation:
26+2(77)=180.
180=180.
The angle measures are correct.

2.) Since we know the angle measures of the triangle, we can use the Alternate Exterior Angles Theorem, which states: if a transversal is intersected by two parallel lines, then the alternating exterior angles are congruent. We can see in the picture that the lane with the triangle on top and trapezoid at the bottom is a transversal (transversal=line intersected by two parallel lines). We can also see that the two lines with arrows are parallel because they are marked parallel with arrows. Therefore, we have a transversal intersected by two parallel lines, so the angles outside the parallel lines and and opposite each other are congruent.

We know that the two angles at the base of the triangle are 77°. The left base angle in the triangle is outside the parallel lines, so angle n or n° must also be 77° because they are both outside the parallel lines (exterior) and alternating from each other.

Therefore, n°=77°
8 0
2 years ago
julia wants to make 8 bows using 18 ft of ribbon. she wants to use an equal length of ribbon for each bow with no ribbon left ov
Rama09 [41]

2.25 ft of ribbon per bow

Hope this helps:)

6 0
3 years ago
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