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Mariulka [41]
3 years ago
6

Find the perimeter of the given triangle

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that

corresponding sides of similar triangles are in same proprtion .

\frac{AB}{DC} = \frac{BP}{CR}

that gives

7/10 = BP/11

7*11=10BP

BP=7.7

Again using the ratio rule

\frac{AB}{DC} = \frac{AP}{DR}

7/10 = AP/6

42 = 10AP

AP = 4.2

Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9

Correct option is A.

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Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.
nignag [31]

Answer:

work \ done= 45937.5

Step-by-step explanation:

Work done is given by

work \ done=\int_a^b w(d-x) \ dx , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, work \ done=\int_0^{175} 3(175-x) \ dx

work \ done= 3\left [175x-\frac{x^2}{2}  \right ]_0^{175}

work \ done= 3\left [175^2-\frac{175^2}{2}  \right ]

work \ done= 3\cdot \frac{175^2}{2}

work \ done= 45937.5

8 0
3 years ago
A deer population is declining by 2.2% per year. The population can be modelled using the formula p = 240(0.978)n , where P is t
ale4655 [162]

Answer:

The current deer population is 240.

Step-by-step explanation:

The expression given models a exponential decay follows:

p(n) = 240*(0.978)^n

For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:

p(0) = 240*(0.978)^0\\p(0) = 240*1 = 240

The current deer population is 240.

3 0
3 years ago
Suppose the total weight of the fish caught stayed the same but instead of 100 fish caught during the weeklong fishing trip only
Paha777 [63]
The weight of each fish would be multiplied by 10.

Assume the first time, the weight was 800 lb.  Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.

This time, however, only 10 fish were caught.  The weight would be 800/10 = 80 lb.  

80 = 8(10), so the weight is 10 times more.
4 0
3 years ago
#8 can anyone help? I need help solving this and showing the work
tamaranim1 [39]
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
3 0
3 years ago
Read 2 more answers
Simplify to create an equivalent expression.
Olin [163]
<span>−y−3(−3y+5)
= </span><span>−y + 9y - 15
= 8y - 15

answer
</span><span>d.8y-15</span>
8 0
3 years ago
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