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8_murik_8 [283]
2 years ago
10

Nina's monthly budget is $2,250. Every month she makes the following payments: $175 for insurance, $129 for utilities, $283 for

taxes. Which is the highest house payment she can afford?
A.) House A - monthly payment: $1,580.89.
B.) House B - monthly payment: $1,790.25.
C.) House C - monthly payment: $1,989.23.
Mathematics
2 answers:
choli [55]2 years ago
6 0
The total costs that Nina would have to pay is the sum of the cost of insurance, utilities, and taxes.
                               C = $175 + $129 + $283 = $587
The highest house payment she could afford is then the difference between her budget and the costs,
                                  P = $2,250 - $587 = $1663
Thus, the answer would be letter B. House B because all the rest of the monthly payment are way over her budget. 
natka813 [3]2 years ago
4 0

A) House A

Her costs monthly add up to $587 so take that out of her monthly budget. $1,663 is left so she can only afford house A.

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Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica
Lera25 [3.4K]

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

8 0
2 years ago
Alex is 1.6 m tall and Noah is 1.5 times as tall as Alex. How much taller is Noah in centimeters?​
nika2105 [10]

Answer:

80 centimeters taller

Step-by-step explanation:

First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.

8 0
2 years ago
Find a right triangle that has legs with your irrational Lengths and a hypotenuse with a rational Length
cluponka [151]

gg easy


the legs of a triangle are related as a^2+b^2=c^2 wehre a, b, and c are the legs and the hypotonuse of a triangle respectively


let's find some stuff

one easy way is to find a rational value for c find values of a and b

lets pick c=5

a^2+b^2=5^2

a^2+b^2=25

now split up 25 into 2 things that don't have rational square roots

if we say a^2=19 and b^2=6 then we get

a=\sqrt{19} and b=\sqrt{6} (which are both irrational)

4 0
2 years ago
A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su
JulijaS [17]

Answer:

The value is P (I |  L  )  =     0.63

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  P(O) =  0.70

    The  percentage that logs on everyday is  P(L) =  0.60

    The  percentage that logs on everyday that are from the inside the country is     P(L  |  I) =  0.80

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     P (I |  L  )  =  \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }

Where  P(I) is the percentage that are from inside that country which is mathematically represented as

       P(I) =  1 -  P(O)

      P(I) =  1 -  0.70

      P(I) =  0.30

And P(L| O) is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      P(L| O)  =  1-  P(L| I)

       P(L| O)  =  1-  0.80

       P(L| O)  = 0.20

P (I |  L  )  =  \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }    

P (I |  L  )  =     0.63

Given that the percentage that are from inside that country is  P(I) =  0.30

and that the probability that a person is from the country given that he logs on the website every day is  P (I |  L  )  =     0.63

We see that the additional information increased the probability

5 0
2 years ago
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
suter [353]

Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

a and b are the legs

we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

5 StartRoot 10 EndRoot

4 0
2 years ago
Read 2 more answers
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