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Elis [28]
3 years ago
15

Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide

by 80 mm high. She moves the projector so that the width of the projected image is 300 mm. If the original drawing and the projected image are similar figures, what will be the height of the projected image?
Mathematics
1 answer:
podryga [215]3 years ago
8 0
So 60 by 80,
60 <80 so 60=width
she moves it so that width=300
findn height

60:300=80:x
60/300=80/x
muliplyb oth sides by x
60x/300=80
x/5=80
mulitpliy both sides by 5
x=400

the height=400 mm
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Step-by-step explanation:

9.75/.75 = 13

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7 0
3 years ago
The principal randomly selected six students to take an aptitude test. their scores were: 81.4 78.6 71.3 77.8 76.9 77.7 determin
Firdavs [7]
The confidence interval is 77.28\pm 2.23.

We first find the mean.  Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.

Next we find the standard deviation.  Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root.  The standard deviation is 3.32.

To find the margin of error, we calculate the z-score associated with this level of confidence.  100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95.  Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.

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3 0
3 years ago
On a map where each unit represents one kilometer, two marinas are located at P(4,2) and Q(8,12). If a boat travels in a straigh
Slav-nsk [51]

Answer:

B

Step-by-step explanation:

draw a right angled triangle with the right angle in the bottom left

label P as the bottome left corner and write its coordinates next to it

do same with Q

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the height is 10 (12-2 = 10)

use pythagoras to work out the hypotenuse:

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4 0
2 years ago
What percentage of numbers from 1 to 70 has 1or 9 in their number digit​
natta225 [31]

Answer:

20%

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7 0
3 years ago
Given the Vertices of ΔABC are A (2, -5,) B (-4, 6) and C (3, 1), find the vertices following each of the transformations FROM T
oksano4ka [1.4K]

Answer:

I. A' =  (5,-5), B' = (-1,6), C' = (6,1)

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III. A' = (-5,-2), B = (6,4), C' = (1,-3)

Step-by-step explanation:

We are given the vertices of ΔABC as A = (2,-5), B = (-4,6) and C = (3,1).

I. It is required to 'reflect the triangle about the line x= 3'.

This rule changes (x,y) to (x+3,y).

So, the new vertices are given by,

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C' = (3+3,1) = (6,1)

II. It is required to 'translate the triangle 3 units to the right and 6 units down'.

This rule changes (x,y) to (x+3,y-6).

So, the new vertices are given by,

A' = (2+3,-5-6) = (5,-11)

B' = (-4+3,6-6) = (-1,0)

C' = (3+3,1-6) = (6,-5)

III. It is required to 'rotate the triangle by 90° about the origin counter-clockwise'.

This rule changes (x,y) to (y,-x).

So, the new vertices are given by,

A = (2,-5) implies A' = (-5,-2)

B = (-4,6) implies B = (6,4)

C = (3,1) implies C' = (1,-3)

6 0
3 years ago
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