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4 years ago

Hi!!!! Can someone please help me answer this math question??

Mathematics

1 answer:

Brrunno [24]4 years ago

8 0

Based on how the triangle looks and the directions given, you know that this is a right triangle.

You can use the Pythagorean Theorem, which is a^2 + b^2 = c^2, with c being the hypotenuse. If you plug in the values, you get

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

√100 = √c^2

c = 10

This means that Robert traveled 10 kilometers on the way back home, HOWEVER, it asks for the round trip distance. He traveled 14 km on the way there and 10 km on the way back, which means the round trip distance is 24 km.

I hope this makes sense!

You might be interested in

What is the slope of the line?

sineoko [7]

Answer:

3/4

Step-by-step explanation:

You can do this two different ways. Both include picking two points where the line crosses a corner. I'm using (0,-1) and (4,2). Now here you can either use

Slope= $\frac{Rise}{Run}$

or $\frac{y2-y1}{x2-x1}$

If you use the first one start at point (0,-1) and go to point (4,2) and count how many it goes up (rise) and then put that over how many it goes to the right (run).

If you use the second one then plug in the numbers.

y2=second y point

y1=first y point

x2=second x point

x1=first x point

$\frac{2-(-1)}{4-0}$ Now just solve.

$\frac{3}{4}$

4 0

3 years ago

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.

melamori03 [73]

Answer:

The sequence is arithmetic with a common difference of -10

Step-by-step explanation:

From the question, we want to determine if the sequence is arithmetic or geometric

From the question

f(1) = 5

f(2) = -5

f(3) = -15

Mathematically for the common difference;

f(3) - f(2) = f(2) - f(1)

Since;

-15-(-5) = -5-5

-10 = -10

Since the common difference here is same , then the sequence is arithmetic with a common difference of -10

8 0

3 years ago

How can you skip count to find how many counters in all?

bija089 [108]

There are 196 countries in the world.Hope I helped.Have a nice day.

6 0

4 years ago

Suppose that many large samples are taken from a population and that the

Eddi Din [679]

Answer:

99.7% of the sample proportions will fall between 0.133 and 0.307.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 0.22

Standard deviation = 0.029

99.7% of the sample proportions will fall within which of the following intervals?

Within 3 standard deviations of the mean.

Lower end: 0.22 - 3*0.029 = 0.133

Upper end: 0.22 + 3*0.029 = 0.307

99.7% of the sample proportions will fall between 0.133 and 0.307.

7 0

3 years ago

a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas

Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

$Pt= P_0e^k^t$

Initial amount= 50
amount after 3 hours= 80

To find the exponential growth;

80 = $50e^k^*^3$

$k= 1.6/3\\k= 0.533$

If there is a constant growth, then to get to 1119:

1119= $50e^0^.^5^3^3^*t$

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

#SPJ1

6 0

2 years ago