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ioda
3 years ago
13

the ratio of the height of a triangle to its base is 2:3. If the height of the triangle is 18cm, what is the length of the base

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

27 cm

Step-by-step explanation:

Hi there!

Let <em>b</em> be equal to the length of the base.

Form a proportion:

\displaystyle \frac{2}{3} =\frac{18}{b}

Cross multiply:

3*18=2b\\54=2b\\b=27

Therefore, the length of the base is 27 cm.

I hope this helps!

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seraphim [82]

Area of pond:

A=\pi r^{2}

r=1,5m

A=3,142*1,5*1,5=7,0695

Area of pond with path

B=\pi r^{2}

r=50 cm+1,5m=0,5m+1,5m=2m

B=3,142*2*2=12,568

Area of path:

12,568-7,0695=5,4985=5,50

8 0
3 years ago
Read 2 more answers
Which statement best describes the function h(t) = 210 – 15t? h is the function name; h(t) is the input, or independent variable
vazorg [7]
<span>The function h(t) = 210 – 15t has the slope-intercept form of the equation of a straight line.  The y-intercept represents the amount h at the very beginning (when t=0).  The negative slope (-15) represents the amount by  which h will decrease if t is increased by 1.

We are manipulating the value of time, t, so time, t, is the independent variable, and h(t) = y is the dependent variable.</span>
8 0
3 years ago
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I don't understand what's the answer
gayaneshka [121]
The correct answer is D. 36 x 1/9
When there is a negative exponent on a whole number:
4 ^-2
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6 0
3 years ago
The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh
Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

The diameter of the virus-cell is:

D_v = 3 \cdot 10^{-9} m

The diameter of the bacteria cell is:

D_b = 9 \cdot 10^{-7} m

So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

\frac{a^n}{a^m} = a^{n - m}

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m}  = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0
2 years ago
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Sholpan [36]

Answer:

What is 5 + 2(3x + 4)+ x?

the answer is 7x + 13

Step-by-step explanation:

from the quwstion What is 5 + 2(3x + 4)+ x

we aproach the problem using BODMAS

we have;

5 + 6x + 8 + x

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