All categories

2 years ago

The base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is

Mathematics

2 answers:

agasfer [191]2 years ago

8 0

Answer:

Option (c) is correct .

The base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is $=\frac{1}{2}$

Step-by-step explanation:

Given : base = twice its hypotenuse

that is ,

Consider hypotenuse be x then base will be 2x .

Consider the right angled triangle in figure below with right angle at B and base BC.

∠A is the angle opposite to the base.

$\text sinA=\frac{\text Perpendicular}{\text Hypotenuse}$

$\text sinA=\frac{BC}{AC}$

$\text sinA=\frac{x}{2x}$

$\text sinA=\frac{1}{2}$

Thus, For the base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is $=\frac{1}{2}$

svetoff [14.1K]2 years ago

6 0

The answer b= 2h
the angle opposite to its base is a
so sina = b/2h= b/b=1
the answer is b) 1

You might be interested in

A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile

Eddi Din [679]

y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car

Solution:

Let "y" be the total cost of car rental

Let "x" be the number of miles you drive the car for more than 100 miles

A car rental firm has the following charges for a certain type of car:

$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles

Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles

Therefore,

Car is rented for one day

You will use it for more than 100 miles

Therefore, equation is framed as:

Total cost = $ 25 + 0.15(number of hours)

$Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x$

Thus the equation for relating the cost y to the number of miles x that you drive the car

7 0

2 years ago

Marissa bought a car for $22,000. The value of the car is decreasing at a rate of 10.5% every year. After 5 years, the value of

torisob [31]

Answer: the value of the car will be about $12634

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

P = $22000

r = 10.5% = 10.5/100 = 0.105

t = 5 years

Therefore

A = 22000(1 - 0.105)^5

A = 22000(0.895)^5

A = $12634

4 0

2 years ago

Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does

Papessa [141]

Answer:

The stickers are divided by groups of

2/10, 3/10 and 5/10

2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The 8th term of a GP is -7/32 find its common ratio if its first term is 28

Ugo [173]

<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

$\text{8}^{th}$ term of a Geometric progression is given as $\dfrac{-7}{32}$ . The first term is given as $28$ .

Any general Geometric progression can be represented using the series $a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}$ .

The first term in such a GP is given by $a$ , common ratio by $r$ , and the $n^{th}$ term is given by $ar^{n-1}$ .

In the given GP, $a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}$

∴ Common ratio is $\dfrac{-1}{2}$ .

5 0

2 years ago

The diagram shows a cube of side length 4 inches. A is a vertex of the cube, while B and C are located on opposite edges of the

Nikolay [14]

Answer:

we will get an isosceles triangle as a result.

Step-by-step explanation:

when the point A is joined to B and C we will get the side AB and AC of equal length.

length of AB and AC could be calculated easily with the help of pythagorean theorem where the base and perpendicular are of length 4in and 1in .

when we will cut a plane including the the points A,B and C we will get a triangle whose sides AB and AC are equal but BC would be of distinct length.

Hence, the resultant figure will be an isosceles triangle.

5 0

2 years ago

Read 2 more answers