All categories

2 years ago

An angle measures 81.2º more than the measure of its supplementary angle. What is the

Mathematics

1 answer:

Usimov [2.4K]2 years ago

7 0

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Let x represent the smaller angle:

x + (x + 81.2) = 180

2x + 81.2 = 180

2x = 98.8

x = 49.4 degrees

therefore:

smaller angle = 49.4 degrees

larger angle = 49.4 + 81.2

= 130.86 degrees

You might be interested in

Match each of the following complex numbers with its equivalent expression.

Yanka [14]

Answer:

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

Step-by-step explanation:

Complex Number :

A complex number is a number that can be expressed in the form

$a + bi$

where a and b are real numbers, and

' i ' is called an imaginary number.

The value of i is given as

$i=\sqrt{-1}$

Squaring both the side we get

$i^{2}=(\sqrt{-1})^{2}\\\therefore i^{2}=-1$

Therefore on substituting we get

For i^110

$i^{110}=(i^{2})^{55}=(-1)^{55}=-1$

Similarly for i^92

$i^{92}=(i^{2})^{46}=(-1)^{46}=1$

Similarly for i^245

$i^{245}=(i^{2})^{122}\times i=(-1)^{122}\times i=1\times i =i$

Similarly for i^347

$i^{347}=(i^{2})^{173}\times i=(-1)^{173}\times i=-1\times i =-i$

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

6 0

2 years ago

Urgently NEED these questions answered!!!!!

Len [333]

What questions? You didn't write any?

6 0

3 years ago

Hellooo menejkfnfkdjdkdkdmmdmfjf

Vesna [10]

Helloo, i don’t see the image seen above, is that the only picture?

6 0

3 years ago

Question 1 . What division problem does this area model represent?

Law Incorporation [45]

Answer:

Step-by-step explanation:

6 0

2 years ago

15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains

mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

$0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750$

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

$32/100 * 15000 =4800$

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

8 0

3 years ago