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2 years ago

Find the area of the triangle The area is __yd^2

Mathematics

1 answer:

MAVERICK [17]2 years ago

7 0

Answer:

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Step-by-step explanation:

The area of a right triangle is half of the product of the sides adjacent to the right angle.

Here the sides adjacent to the right angle are 6 yd and 4.5 yd.

Therefore the

area of triangle = 4.5*6/2 = 13.5 sq.yd.

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Suppose a line parallel to side BC of triangle ABC intersects AB and AC at point D and E, respectively. Find the length of AE if

MrRissso [65]

Answer: AE=13

Step-by-step explanation: took test

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2 years ago

If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i

navik [9.2K]

Answer: 37 units

Step-by-step explanation:

$Blue=144units^2$ This also works as the height of the triangle.

$Pink=1225units^2$ This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

$Formula: A=s^2$

$s=\sqrt[]{A}$

Let's work with Blue.

$s=\sqrt[]{144units^2} \\s=12units$

Now Pink.

$s=\sqrt[]{1225units^2}\\s=35units$

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

$c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units$

7 0

3 years ago

Express 16 1/4in simplest radical form

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

${16}^{ \frac{1}{4} } \: can \: also \: be \: written \: as \: ( {{2}^{4})}^{ \frac{1}{4} }$

because ${2}^{4} = 16$

So,

${( {2}^{4} )}^{ \frac{1}{4} } = {(2)}^{4 \times \frac{1}{4} } = 2$

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2 years ago

Which is an exponential growth function f(x)=6(0.25)x<br> f(x)=0.25(5.25)x

Vikki [24]

Answer: Second Option

$f(x)=0.25(5.25)^x$

Step-by-step explanation:

The exponential growth functions have the following form:

$f(x) = a(b)^x$

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

$f(x)=0.25(5.25)^x$

6 0

3 years ago

Read 2 more answers

Real estate values in a town are increasing at a rate of 9% per year.

mina [271]

Answer:

$887,761.38

Step-by-step explanation:

The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:

$A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38$

After 10 years the house is worth $887,761.38 if this trend continues

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3 years ago

Read 2 more answers