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pav-90 [236]
3 years ago
7

Tickets for a rock concert are selling fast! Tim and his 2 friends decide to buy tickets, his dad loans him $20 as well for an e

arly birthday present. How much did each ticket cost if Tim paid $145 for himself and his friends?
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer: Each ticket costed $48

Step-by-step explanation: 145 divided by 3 equals 48 1 remainder

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Given isosceles right triangle CDE with m∠D = 90, sin C = sin D
Butoxors [25]

Answer:True

Step-by-step explanation:

Given

\angle D=90^{\circ}

For isosceles triangle , CD=DE (x=y)

from figure,

\sin C=\dfrac{y}{H}\\\\\sin D=\dfrac{x}{H}\\\\\text{CD=DE}\\\\\therefore \sin C=\sin D=\dfrac{x}{H}=\dfrac{y}{H}

Thus, the given statement is true

7 0
3 years ago
Mr. Ortega bought his home for $242,800. It is
Free_Kalibri [48]

Answer:

$469887

Step-by-step explanation:

you should use compound interest formula which is

A=P(1+r/100) ^t

A = 242800 ( 1 + 0.045 ) ^ 15

when you punch this into a calculator you will get 469886.5771.....

when you round it off to a whole number the answer is $469887

7 0
2 years ago
I don’t understand this can you explain and answer it!!!
Anuta_ua [19.1K]

Answer:

So if you circle the cup ceno {sine}

Step-by-step explanation:

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3 0
3 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Plzzzzz help me with this
ehidna [41]

Answer:

We conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

Step-by-step explanation:

We know that the perfect square formula is

<em>(a + b)² = a² + b² + 2ab</em>

Given the equation

x^2+8x

Let us add 4² or 16 in the equation

x^2+8x+4^2

x^2+\:2\left(1\right)\left(4\right)x+4^2

as <em>(a + b)² = a² + b² + 2ab, </em>so

<em />x^2+8x+4^2=\left(x+4\right)^2<em />

<em />

Therefore, we conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

4 0
3 years ago
Read 2 more answers
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