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Elena-2011 [213]
2 years ago
12

B)

Mathematics
1 answer:
Masteriza [31]2 years ago
4 0

Answer: 2.5 hours or 150 minutes.

Step-by-step explanation:

We know that she drove a total of 212 km.

And we also need to remember the relationship:

Distance = Time*Speed.

We know that she drove at 42km/h for 20 mins, then the total distance traveled in that time is:

42km/h*(20min)

First we should rewrite the time in hours, we know that:

1 h = 60min

Then:

20 min = 20 min*(1h/60 min) = 0.33 h

Then the equation becomes:

42km/h*(0.33 h) = 13.86km

We also know that she drove at 55km/h for 12 mins at the end, the total distance traveled in this time is:

55km/h*(12 min)

Rewriting the time in hours we get:

12 min = 12 min*(1 h/60min) = (12 /60) h = 0.2 h

Then:

55km/h*(0.2 h) = 11 km

The total distance that we know that she traveled in these two intervals of time is:

11km + 13.86km = 24.86km

The difference between the total distance and this is:

212 km - 24.86km = 187.14 km

Then she drove a total distance of 187.14 km at the speed of 95km/h

The time that it took is:

Time =  (187.14km)/(95km/h) = 1.97 h

Then the total time of the travel is:

1.97h + 0.33h + 0.2h = 2.5 hours

If we want the answer in minutes, we can remember that 1 hour equals 60 minutes, then 2.5 hours are:

2,5 hours = 2.5*60 min = 150 mins

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I believe its 27.75. I wouldn't take my word for it though.
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Which angle is congruent to
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The angle congruent to ∠CGD is the angle ∠AGF as they are vertical angles.

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Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231
just olya [345]

Answer:

A+B+C=130

F+E+D=273

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

\frac{A}{F}=\frac{B}{E}=\frac{C}{D}

Therefore solving for F

\frac{9}{F}=\frac{110}{231}

F=\frac{9*231}{110}

F=18.9

Therefore solving for E

\frac{11}{E}=\frac{110}{231}

E=\frac{11*231}{110}

E=23.1

Measure of \triangle ABC

A+B+C=130

Measure of \triangle FED

F+E+D=273

5 0
3 years ago
Consider the triangle reduction.
agasfer [191]

Answer:

10.8 Cm

.

.

.

ur welcome ♥️♥️♥️

3 0
3 years ago
The question is in the picture. Plz helppp it is due tonight
Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\  K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48

Now we can set both K = 8m + 48 and K = m^2 + 10 equal to 200

200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19

200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784

Keiko's blog will reach 200 subscribers fastest.

7 0
3 years ago
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