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3 years ago

Bethan and siobhan are cousins.......

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Bethan arrives home at 14:45

I’m not sure about the last question but i think it’s 8km

Hope this helps!

You might be interested in

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

Write a power represented with a positive base and a positive exponent whose value is less than the base

dlinn [17]

You have that situation with ANY base that's less than ' 1 '.

Examples:

(0.9)² = 0.81 (90% of the base)

(7/8)² = 0.765625 (87.5% of the base)

(1/2)² = 1/4 (50% of the base)

(0.1)² = 0.01 (10% of the base)

Each of these results is less than the base, and with
higher positive powers, they keep getting smaller.

6 0

3 years ago

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3 ft, 6 ft, 9 ft B. 3 ft, 5 ft, 7 ft

Whitepunk [10]

Answer:
B. 3 ft, 5 ft and 7 ft

Explanation:
In any triangle, the sum of any two sides must be greater that the third one.

Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle

Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect

2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct

3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect

4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect

Based on the above, the only correct option is B.

Hope this helps :)

4 0

4 years ago

A college administration has conducted a study of 166 randomly selected students to determine the relationship between satisfact

Annette [7]

It would help if we represent the information in form of two-ways table as shown below

The number of students who are not on probation is 104 students
There are 23 students who are not on probation and is satisfied is 81 students

The probability of students not on probation and is satisfied is 81/104

5 0

3 years ago

X Y

aliina [53]

The answer is B. I hope it help :)

4 0

3 years ago