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Fiesta28 [93]
3 years ago
5

Help with these questions!! I need help! I will mark brainliest!!

Mathematics
2 answers:
g100num [7]3 years ago
4 0

Answer: I believe it's 85° i have no explanation and am sorry if it's wrong x

Step-by-step explanation:

Leto [7]3 years ago
3 0

Answer:

Question 1.  Option (3) RT = 35°

Question 2. Option (3) y = 2

Step-by-step explanation:

By the definition of external angle, ∠PSY is the external angle formed by the secants PS and YS.

From the attached diagram.

Theorem says,

m(∠a) = \frac{1}{2}(\frac{y-x}{2})°

Now we will apply this theorem in our question.

m(∠PSY) = 180° - [m(∠SMX) + m(∠MXS)]

               = 180° - (95° + 45°)

               = 180° - 140°

               = 40°

Since m(∠PSY) = \frac{1}{2}[m(arcPY)-m(arcRT)] [By the theorem]

m(arc PY) = m(arc PW) + m(arc WY)

               = (80 + 35)°

               = 115°

Now m(∠PSY) = \frac{1}{2}[115-RT]

40° = \frac{1}{2}(115-RT)°

80 = 115 - RT

RT = 115 - 80

RT = 35°

Therefore, Option (3). RT = 35° is the answer.

Question 2.

By the theorem, every angle at the circumference of a semicircle, that is subtended by the diameter of the semicircle is a right angle.

Therefore, (53y - 16)° = 90°

53y = 90 + 16

53y = 106

y = 2

Therefore, Option (3). y = 2 is the answer.

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15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and
tia_tia [17]

The values of BMW after 2 years and 4 years  according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28

Using the parameters given, we define an decreasing exponential function :

A = A_{0} (1 - r)^{t}

Where,

A_{0} = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.

Learn more :

brainly.com/question/14355665

8 0
3 years ago
A young couple purchases their first new home in 2011 for​ $95,000. They sell it to move into a bigger home in 2018 for​ $105,00
mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

y=ab^x       ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

y=95000b^x       ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

105000=95000b^7

\dfrac{105000}{95000}=b^7

\dfrac{21}{19}=b^7

Taking 7th root on both sides, we get

\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b

Put b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}} in (ii).

y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x

y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}

Therefore, the required exponential model for the value of home is y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}, where x is the number of years after 2011.

5 0
3 years ago
18 is 75 percent of what number
dimulka [17.4K]
18 is 75% of x.

75\%= \frac{75}{100}=\frac{3 \times 25}{4 \times 25}=\frac{3}{4} \\ \\
\frac{3}{4}x=18 \\
x=18 \times \frac{4}{3} \\
x=6 \times 4\\
x=24


18 is 75% of 24.
8 0
3 years ago
PLEASE HELP!!!!!! FAST!!!!!!!!
klio [65]

Answer:

%8.75 error

Step-by-step explanation:

14.6/n = 16/100

16n = 1460

n = 91.25

100-91.25 = 8.75

7 0
2 years ago
Read 2 more answers
Each employee in a company is either right-handed or left-handed.
sweet [91]

Answer:

Step-by-step explanation:

A = 176368374.8837477463636

5 0
3 years ago
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