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pogonyaev
2 years ago
10

Concert R charges an admission fee of $10.00 and $6.25 per souvenir brochure. Concert S charges an admission fee of $13.00 and $

5.75 per souvenir brochure.
How many souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same?

A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure​
Mathematics
1 answer:
yarga [219]2 years ago
8 0

Answer:

The answer is A. (6)

Step-by-step explanation:

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ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
1 year ago
A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
1 year ago
The value of the x- intercept for the graph of 4x-5y=40 is
andrew-mc [135]
4x - 5y = 40

4x = 40 + 5y
x = 10 + 5/4y 

The x intercept is 10. 




8 0
1 year ago
The nth term of a sequence is 2n2 − 1 The nth term of a different sequence is 40 − n2 Show that there is only one number that is
allsm [11]

Answer:

Step-by-step explanation:

nth term of a sequence = 2n² - 1

Therefore, terms of the sequence will be,

1, 7, 17, 31, 49, ........... n terms

nth term of a different sequence = 40 - n²

Therefore, terms of the sequence will be,

39, 36, 31, 24, 15, 4, -9, -24 .......... n terms  

Since, there is no negative number in the first sequence,

Therefore, out of 6 positive terms of second sequence only one number (31) is common in both the sequences.

5 0
1 year ago
The graph shows the amount of dirt left to remove, y, with respect to number of loads of dirt, x. Use the graph to complete each
Tema [17]

Part 1. When x=0, then y=900 (from the graph). This means that y-intercept is at point (0,900).

Answer Part 1: 900

Part 2. The y-intercept is at point (0,900). This means that at x=0 (loads), the total amount of dirt to remove is 900 cubic feet.

Answer Part 2: the total amount of dirt to remove.

7 0
1 year ago
Read 2 more answers
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