All categories

2 years ago

What is LK rounded to the nearest hundredth? show work if you can

Mathematics

1 answer:

const2013 [10]2 years ago

3 0

LK is actually the opposite side. What you've also been given is the length of the hypotenuse and an angle (20 degrees).

We know that:

sin(β)=Opposite/Hypotenuse=O/H

This is because of the famous:

SOH CAH TOA

-----

We can solve the problem by writing down:

sin(20)=LK/8.5

This means that:

LK = 8.5 * sin(20)

LK = 2.91 metres (to 2 decimal places)

You might be interested in

Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is m

Vsevolod [243]

Answer:

<2.1130913087, 4.53153893518>; <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>

Step-by-step explanation:

Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>

The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)> ≈ <−3.03108891325, −1.75>

You add them together to find his actual motion:

<−0.91799760455, 2.78153893518>

7 0

2 years ago

The graph below represents the distance in miles (y), Jonathan travels on his bike in minutes (x). The table represents the dist

mr Goodwill [35]

Answer:

We cant see the question

Step-by-step explanation:

You cant post images because we can't see them

8 0

2 years ago

Henri bought a swimsuit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.

lora16 [44]

Answer:

The first, second to last and last stements are true

Step-by-step explanation:

You times 8 by the percentage as

e.g 8 x 1.50 = 12 is the same as marked up by 50%

e.g 8 x 1.70 =13.6 is the same as marked up by 70%

7 0

2 years ago

Read 2 more answers

Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)

MakcuM [25]

Answer:

The cost is $9.70 per kilogram.

Step-by-step explanation:

This can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:

1 pound - xkg

2.2 pound - 1 kg

$2.2x = 1$

$x = \frac{1}{2.2}$

$x = 0.45$ kg

Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?

$4.40 - 0.45kg

$x - 1kg

$0.45x = 4.40$

$x = \frac{4.40}{0.45}$

$x = 9.70$

The cost is $9.70 per kilogram.

6 0

2 years ago

A circle has diameter of 11cm

dlinn [17]

Since length of diagonal ( $Diagonal= 9.9cm$ ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.

<u>Step-by-step explanation:</u>

Here we have , A circle has diameter of 11 cm A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:

We know the concept that for any square to fit inside the circle without touching the edge of circle , diagonal of square must be less than diameter of circle . Let's find out length of diagonal by using Pythagoras Theorem :

$Hypotenuse ^2 = Perpendicular^2+Base^2$

For a square , $Perpendicular = base = side$

⇒ $Diagonal^2 = 2(side)^2$

⇒ $Diagonal= \sqrt{2}(side)$

⇒ $Diagonal= \sqrt{2}(7)$

⇒ $Diagonal= 9.9cm$

Since length of diagonal ( $Diagonal= 9.9cm$ ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.

5 0

2 years ago