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qwelly [4]
3 years ago
14

Best traveled on a level road for six hours at an average speed 20 mph faster than a traveled on a winding road the time spent o

n the winding road was five hours find the average speed on the level Road if the entire trip is 571 miles
Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

x = 61 mph

the average speed on the level Road is 61 mph

Step-by-step explanation:

Let x represent Best's average speed on the level road. (In mph)

Best's average speed on the winding road = x-20

Given;

Total distance travelled = 571 miles

Time travelled on level road = 6 hours

Time travelled on winding road = 5 hours

Distance travelled = average speed × time taken

Total distance travelled can be written as

6 × (x) + 5×(x-20) = 571

6x+5x-100 = 571

11x = 571+100

11x = 671

x = 671/11

x = 61 mph

the average speed on the level Road is 61 mph

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A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is
IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

{w}^{2}  +  {42}^{2}  = {62}^{2}

{w}^{2} = {62}^{2} -  {42}^{2}

{w}^{2}  = 2080

{w} =  \sqrt{2080}

w = 4 \sqrt{130}

The width of the painting is 45.6cm to the nearest tenth.

4 0
3 years ago
25 points plus will mark brainliest!!!<br><br>Find angle ABD.<br>​
Sloan [31]

Step-by-step explanation:

Remember that angles in the same segment are equal.

In here, AD is the segment, which means that angle ACD = angle ABD = 28°.

5 0
2 years ago
A coin is tossed 13 times how many different outcomes are possible
makvit [3.9K]
Since the toss can either be heads or tails and only one of these can land at a time the answer is 13
5 0
3 years ago
Read 2 more answers
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
In a certain apartment building the ratio of tenants to cars is 3:5. if there are 30 tenants, how many cars are there?
Fittoniya [83]

Answer:

I want to say 50 cars

Step-by-step explanation:

If i am correct, there are more cars than people overall:

tenants to cars

3:5

so when you have 30 tenants you can multiply the cars by ten because that is what you did on the other side.

6 0
3 years ago
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