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1 year ago

A projector enlarges an image in the ratio 20:1. What will be the size of an enlargement of a picture that is 8cm by 6cm?

Mathematics

1 answer:

nydimaria [60]1 year ago

3 0

Answer:

160 cm × 120 cm

Step-by-step explanation:

this means 1 cm turns into 20 cm.

so, 8 cm × 6 cm becomes

8×20 = 160 cm × 6×20 = 120 cm

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

2 years ago

The 1996 gss asked, "if the husband in a family wants children, but the wife decides that she does not want any children, is it

zzz [600]

The confidence interval would be
$0.80\pm0.03$ .

We use the formula
$p\pm z*\sigma_p$ , where

$\sigma_p=\sqrt{\frac{p(1-p)}{N}}$ , with p being the sample proportion and N being the sample size.

First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Since 578/720 said yes, this gives us p=0.80:
$\sigma_p=\sqrt{\frac{0.80(1-0.80)}{720}}=\sqrt{\frac{0.8(0.2)}{720}=0.015$

This gives us
$0.80\pm1.96(0.015)=0.80\pm 0.03$

5 0

3 years ago

If John puts 3/4 lbs of roast beef on each sandwich, how many sandwiches can he make from 3 3/4 lbs of roast beef?

yulyashka [42]

the answers is 5 sandwiches

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2 years ago

0.275÷0.25 with working plsss its very urgent!!!!

nadya68 [22]

Answer:

Step-by-step explanation: i explain wait for sometime

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2 years ago

The area please I’m so confused

bogdanovich [222]

LxWxH is the formula for area!

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