All categories

4 years ago

Question 4(Multiple Choice Worth 5 points)

Mathematics

1 answer:

ZanzabumX [31]4 years ago

5 0

Answer:

95°

Step-by-step explanation:

y° = 180° - (55° + 30°)

y° = 180° - 85°

y ° = 95°

y = 95

x = y ( vertical angles)

x = 95°

You might be interested in

The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a

Fudgin [204]

Answer:

A) In 2004 the population will reach 306 million.

B) In 2033 the population will reach 386 million.

Step-by-step explanation:

Given : The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a rate of 0.8% per year. Assuming that this growth rate continues, the model $P(t) = 286(1.008 )^{t-1996}$ represents the population P (in millions of people) in year t.

To find : According to this model, when will the population of the country reach A. 306 million? B. 386 million?

Solution :

The model represent the population is $P(t) = 286(1.008 )^{t-1996}$

Where, P represents the population in million.

t represents the time.

A) When population P=306 million.

$306 = 286(1.008 )^{t-1996}$

$\frac{306}{286}=(1.008 )^{t-1996}$

$1.0699=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.0699)=\log((1.008 )^{t-1996})$

$\log(1.0699)=(t-1996)\log(1.008)$

$\frac{\log(1.0699)}{\log(1.008)}=(t-1996)$

$8.479=t-1996$

$t=8.479+1996$

$t=2004.47$

$t\approx2004$

Therefore, In 2004 the population will reach 306 million.

B) When population P=386 million.

$386 = 286(1.008 )^{t-1996}$

$\frac{386}{286}=(1.008 )^{t-1996}$

$1.3496=(1.008 )^{t-1996}$

Taking log both side,

$\log(1.3496)=\log((1.008 )^{t-1996})$

$\log(1.3496)=(t-1996)\log(1.008)$

$\frac{\log(1.3496)}{\log(1.008)}=(t-1996)$

$37.625=t-1996$

$t=37.625+1996$

$t=2033.625$

$t\approx2033$

Therefore, In 2033 the population will reach 386 million.

6 0

3 years ago

A textbook store sold a combined total of 460 physics and math textbooks in a week. The number of math textbooks sold was 62 les

sergij07 [2.7K]

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

Learn more about equation here :

brainly.com/question/27893282

#SPJ10

5 0

2 years ago

A sphere which has a diameter of 6 inches has a volume of:

Burka [1]

The answer is 113 in cubed.

Hope this helps!

6 0

3 years ago

Read 2 more answers

I need help ASAP please (rational exponents)

denis-greek [22]

The answer would be x^12yz^4/64

5 0

4 years ago

What is the difference between a theorem and an axion ?

Sliva [168]

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

8 0

3 years ago

Read 2 more answers