The angle 01 is located in quadrant iii, and cos(01) =-5/8

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

Licemer1 [7]

Answer:

6.6h

Step-by-step explanation:

So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
330 miles divide by 50 miles per hour gives 6.6 hours

5 0

3 years ago

The cost of a jacket increased from $85.00 to $94.35. What is the percentage increase of the cost of the jacket?

Serggg [28]

It's an 11% increase. To find this, you have to subtract 85 from 94.35 and then you divide that difference by the original amount. In this case it's 85. After that, you get .11. Then you just turn it into a percent.

8 0

3 years ago

A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww

Katena32 [7]

A cube is a 3d object bounded by 6 square faces.

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)³

Volume = 27w³

6 0

3 years ago

Need done by tonight please! Will mark brainliest just need it done.

Lostsunrise [7]

Answer:

1. Binary number system only uses 2 digits: 0 and 1.

2. Octal number system uses 8 digits: 0,1,2,3,4,5,6,7 with the base of 8.

3. Decimal number system uses 10 digits: 0,1,2,3,4,5,6,7,8,9 with a base of 10.

4. Hexadecimal number system uses 16 digits and alphabets: 0,1,2,3,4,5,6,7,8,9 and A,B,C,D,E,F with the base of 16.

5. Quinary number system uses 0,1,2,3,4 with 5 as the base.

Absolute value is a number's distance from 0 on the number line.

A prime factor is a number with no factors other than one and itself.

The smallest quantity divisible by every number of the set is known as the least common multiple.

The denominator of a fraction can never be zero since a number divided by zero is not defined.

If the numerator is greater than or equal to the denominator, the fraction is called an improper fraction.

A mixed fraction is the sum of a whole number and a fraction.

To simplify a fraction is to convert it into a form which the numerator and denominator have no common factor other than one.

Step-by-step explanation:

Hope this helps :)

7 0

2 years ago

Hey everyone !

zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

Lets explain how to find the measure of an angle from the length of the

sides of the triangle

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

to angle A is BC , the side opposite to angle B is AC and the side

opposite to angle C is AB, So to find measure of angle A use the rule

$cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}$

Lets solve the problem

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ $cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}$

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ $cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}$

∴ $cos(C)=\frac{36+100-196}{120}$

∴ $cos(C)=\frac{-60}{120}=-0.5$

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

∴ m∠C = $cos^{-1}(-0.5)=120$

* The measure of the largest angle is 120°

8 0

2 years ago

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