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2 years ago

21.

Mathematics

1 answer:

djyliett [7]2 years ago

5 0

Answer:

4.8

Step-by-step explanation:

add all values and divide it by 5

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The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (5x +19)º

lapo4ka [179]

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

8 0

2 years ago

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

Contact [7]

The expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

$\rm Distance = Speed \times Time$

For the first part of the journey:

Distance = 80 miles

Time = $\rm t_1$

And Speed = s

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}$

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = $\rm t_2$

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}$

Therefore,

Adding both the time to represent the total time of her trip in hours,

$\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}$

Hence, The required expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

For more details refer to the link given below.

brainly.com/question/21043759

6 0

2 years ago

Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)

meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0

2 years ago

Read 2 more answers

(a) An angle measures 43°. What is the measure of its supplement

Inga [223]

The answer is 137° because supplementary means the 2 angles must equal 180°

8 0

2 years ago

The area of the circle is 144π m2<br><br> What is the diameter of the circle?

Over [174]

Answer:

Step-by-step explanation:

Remember that

Area of Circle = $\pi r^2$

$\pi = pi \\r = radius$

They told us that for this circle, the area is $144\pi m^2$

If you put it back into the formula for area of a circle we get:

Area of Circle = $\pi r^2$

$144\pi = \pi r^2$

Divide both sides by $\pi$ .

144 = $r^2$

Now we want to solve for r (r = radius).

You need to square root each side

$\sqrt{144} = \sqrt{r^2}$

$12 = r$

So now we know the radius, $r = 12$ metres

Also remember that

Diameter = $2r$

So,

Diameter = 2 times 12 = 24 metres

5 0

2 years ago