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Julli [10]
3 years ago
5

Triangle ABC ~ triangle DEF and the similarity ratio of triangle ABC to triangle DEF is 43 . If AB = 60, what is DE?

Mathematics
2 answers:
qaws [65]3 years ago
5 0
Since the similarity ratio is 43, then:
AB=43\times DE\\\text{ then:}\\
DE=\dfrac{AB}{43}=\dfrac{60}{43}
Taya2010 [7]3 years ago
4 0

It is given in the question that , Triangle ABC ~ triangle DEF , and the similarity ratio is

= \frac{4}{3}

Let DE = x

, And we will get

\frac{AB}{DE} = \frac{4}{3} \\ \frac{60}{DE} = \frac{4}{3} \\ DE = 60* \frac{3}{4} = 45

Therefore the length of DE is 45.

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An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,
Serjik [45]

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

y=a(1-r)^t

Where, a is the initial value r is the rate of interest and t is time period.

Putting a=800,r=0.082,t=15 in the above formula, we get

y=800(1-0.082)^{15}

y=800(0.918)^{15}

y=221.68188

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Therefore, the mass of the remaining element is 221.7 grams.

7 0
3 years ago
-0.333333333 into a fraction
sweet [91]

Answer:

-1/3

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
What is the degree for the polynomial below ? <br> 2x^(2)+3x + 1
velikii [3]

Answer:

The exponent is 2, so the degree is 2

5 0
2 years ago
Help please thank you!!!!
Nana76 [90]
1. You have that:

 - The trapezoids are similar.
 - The larger  base of the smaller trapezoid is 18 m and its area is 310 m².
 - The larger base of the larger trapezoid is 32 m.

 2. Then:

 Sides=18/32
 Sides=9/16

 Area=(9/16)²
 Area=81/256

 3. Now, you can find the area of the larger trapezoid, as below:

 81/256=310/x
 81x=(310)(256)
 x=79360/81
 x=980 m²

 Therefore, the answer is: The area of the larger trapezoid is 980 m².
4 0
3 years ago
9. Eric guessed that Troop A was going to have 23 members in 2011 when they actually had 20. How much was Eric off by in his est
julia-pushkina [17]

Answer:The answer is D

Step-by-step explanation:

23 - 20=3

(3 ➗ 20) *100

= 3 ✖ 5

=15%

Please make brainliest

8 0
2 years ago
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