Ask question

Ask question

All categories

julia-pushkina [17]

3 years ago

12

Two Δ are similar. The sides of the first Δ are 2,4,6. The largest side of the second Δ is 24. Find the perimeter of the second

Δ.

1 answer:

Masja [62]3 years ago

6 0

Answer:

60 units

Step-by-step explanation:

Ratio of the perimeter = ratio of sides

Sides are in the ratio:

6 : 24

1 : 4

Perimeter of the first triangle:

4+5+6 = 15

Perimeter of the second triangle:

4(15) = 60

You might be interested in

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike rental costs $3.25 per hour

Igoryamba

So for one 3.25x5= 16.25 then 16.25x2 = 32.50. So 40 dollars will be enough

8 0

2 years ago

What number is 40% of 720 I need work shown please show your work and don’t make it tricky thank you

vitfil [10]

Answer:

288

Step-by-step explanation:

40% divide by 100 will equal 0.4

then multiply 0.4 by 720 which equals to 288

4 0

2 years ago

Congruent Triangles on the Coordinate Plane

DaniilM [7]

Answer:

all are congruent via SAS

Step-by-step explanation:

5 0

2 years ago

Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca

Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

$Y= 21.839 +0.724 X$

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by $\beta_1 = 0.724$ and the intercept is $\beta_0 = 21.839$

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

3 0

2 years ago

A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h

attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 = 57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

#SPJ1

8 0

1 year ago