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ivanzaharov [21]
2 years ago
7

A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle l

andmark on the second map? Show your work. It may help you to “draw” out the two maps and label the trails .
PLZZZZ HURRRY
Mathematics
1 answer:
Sveta_85 [38]2 years ago
3 0

Answer:

the side lengths of the second triangle  are 2.25mm ,3m, and 3.75mm

the work shown:

3mm                              3mm × 3cm/4cm = 2.25mm

 4mm                               4mm × 3cm/4cm = 3mm

 5mm                               5mm × 3cm/4cm = 3.75mm

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two bird populations were studied and formulas were developed for each populations growth. the populations p1 and p2 are given b
STatiana [176]

Answer:

20 e^{k*10} = 60 e^{0.2*10}

We can divide both sides by 20 and we got:

e^{10k}= 3 e^{2}

Now we can appply natural log on both sides and we got:

10 k = ln(3e^2)

Now we can divide both sides of the equation by 10 and we got:

k = \frac{ln(3e^2)}{10}= 0.30986

So then the aproximate value of k is 0.30986 and rounded would be 0.31

Step-by-step explanation:

We have the following two expression:

p_1 = 20 e^{kt}

p_2 = 60 e^{0.2t}

We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

20 e^{k*10} = 60 e^{0.2*10}

We can divide both sides by 20 and we got:

e^{10k}= 3 e^{2}

Now we can appply natural log on both sides and we got:

10 k = ln(3e^2)

Now we can divide both sides of the equation by 10 and we got:

k = \frac{ln(3e^2)}{10}= 0.30986

So then the aproximate value of k is 0.30986 and rounded would be 0.31

6 0
3 years ago
Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5
laila [671]

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

  • Perimeter: <u>29 cm</u>
  • Area: <u>49.5 cm²</u>

<h3>How can the area and perimeter of the trapezium be found?</h3>

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid =<u> 29 cm</u>

  • Perimeter: 29 cm

The area of the trapezoid is given as follows;

Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}

Which gives;

Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5

The area of the trapezoid = 49.5 cm²

  • Area:<u> 49.5 cm²</u>

Learn more about the area and perimeter of geometric shapes here:

brainly.com/question/359059

brainly.com/question/11461461

8 0
2 years ago
1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?
Nookie1986 [14]

1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?


Point Slope form y − y1 = m(x − x1)


Y1: -7 x1:1 slope :-2/3


Y-(-7)=-2/3(x-1)

Y+7=-2/3(x-1)


2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?


Y-(-6)=1/3(x-(-2))


Y+6=1/3(x+2)



3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)


SlopeM: =change in y/change in x

M= -1-5/-3-4

M= -6/-7

M=6/7


So now slope:6/7, point (4,5)

Y-y1=m(x-x1)

Equation in point slope

Y-5=6/7(x-4)



6 0
3 years ago
I will mark brainliest when it lets me please help me if you can<br> x2 – 9 = 91
jok3333 [9.3K]

Answer:

x=10,−10

Step-by-step explanation:

one of those two

3 0
2 years ago
Which clock shows 2:08?
olga2289 [7]

Answer:

first one

Step-by-step explanation:

6 0
2 years ago
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