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3 years ago

I’m having some trouble with this can someone pls help?

Mathematics

1 answer:

OlgaM077 [116]3 years ago

8 0

Answer:

80% of 16 is 12.8

Step-by-step explanation

80% = 0.8

16*0.8=12.8

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The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o

Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be $A_1$

Also Let the Area of Larger watch face be $A_2$

Also Let the radius of smaller watch face be $r_1$

Also Let the radius of Larger watch face be $r_2$

Now given:

$\frac{A_1}{A_2} =\frac{16}{25}$

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

$A_1 = \pi {r_1}^2$

$A_2 = \pi {r_2}^2$

So we get;

$\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Substituting the value we get;

$\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Now 'π' from numerator and denominator gets cancelled.

$\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}$

Now Taking square roots on both side we get;

$\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}$

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

7 0

3 years ago

The price of a phone is decreased by 20% and now is $141.6 Find the original price. = $

Paraphin [41]

the answer of it is $2 the original price

8 0

2 years ago

The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Dominik [7]

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

$z=\frac{x}{y}$

we have

$x=24\ in$

$y=1,450\ ft$

substitute

$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

8 0

3 years ago

Read 2 more answers

What is the slope–intercept form of the equation 4x − 2y = 9?

adelina 88 [10]

Hey there! :D

Slope intercept form: y=mx+b

4x-2y=9

Add 2y to the other side.

4x=9+2y

Subtract 9 on both sides.

4x-9=2y

Flip the equation over.

2y=4x-9 <== slope intercept form

I hope this helps!
~kaikers

5 0

3 years ago

Find the area of a circle with radius, r = 40cm. Give your answer rounded to 3 SF

Serjik [45]

Area of circle = pi x r^2
= 22/7 x 40^2
= 5028.57
= 5030cm^2 (3 SF)

6 0

3 years ago