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mojhsa [17]
3 years ago
5

The formula for the area of a triangle is `A\ =\ \frac{1}{2}bh`, where b is the base of the triangle and h is the height. Use th

e formula to find the area of the triangle shown. Write the area as a fraction or mixed number in simplest form.
Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer:

A = 1/15 m²

Step-by-step explanation:

Let us assume the value of the base and the height of the triangle since we are not given;

Let Base b = 2/5 m

height h = 1/3 m

Area of the triangle A = 1/2bh

Substitute the values into the formula;

A = 1/2 (2/5)(1/3)

A = 2/(2*5*3)

A = 1/15 m²

Hence the area as a fraction or mixed number in simplest form is 1/15m²

<em>Note that the values are assumed and any values of the base and height can be used in the scenario</em>

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Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown.
madreJ [45]

Answer: 0.1

Step-by-step explanation:

Given

Bag-I has 2 blue,3 orange, 5 red

Bag-II has 4 Pink,10 blue, 6 brown

No of ways of choosing a blue marble from bag-I

\Rightarrow ^2C_1

Total no of ways of choosing a marble from bag-I

\Rightarrow ^{10}C_1

No of ways of choosing a blue marble from bag-II

\Rightarrow ^{10}C_1

Total no of ways of choosing a marble from bag-II

\Rightarrow ^{20}C_1

The probability that he will pull out a blue marble from each bag is

\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}

\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}

3 0
3 years ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
mixer [17]
To solve this, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years 
P is the initial investment 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year

For the first 4 years we know that: P=2350, r= \frac{4.2}{100} =0.042, t=4, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, n=1. Lest replace those values in our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2350(1+ \frac{0.042}{1} )^{(1)(4)}
A=2350(1+0.042)^{4}
A=2770.38

Now, for the next 6 years the intial investment will be the final amount from our previous step, so P=2770.38. We also know that: r= \frac{4.9}{100} =0.049, t=6, and n=1. Lets replace those values in our formula one more time:
A=P(1+ \frac{r}{n} )^{nt}
A=2770.38(1+ \frac{0.049}{1})^{(1)(6)
A=2770.38(1+0.049)^6
A=3691.41

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
4 0
4 years ago
What is the value of x in the simplified expression?
never [62]

Answer:

27

Step-by-step explanation:

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3 years ago
More plz help i kinda suck at dependent and independent
Nuetrik [128]

Answer:

I think T is the independant and B is the dependant

Step-by-step explanation:

the amount of time they have is not changed, however the amount of bands they can fit into that time slot is undetermined and relies on the time they have

7 0
3 years ago
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The sum of 6 consecutive even numbers is 126.<br> What is the fourth number in this sequence?
lilavasa [31]

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

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3 years ago
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