All categories

3 years ago

Why are 4/10 and 4/100 not equal?

1 answer:

6 0

The same reason 4 dimes and 4 pennies aren't equal.

To put it into decimal terms, 4/10 is 0.40 (or forty cents), whereas 4/100 is 0.04 (or four cents)

You might be interested in

What is the answer for number 7?

aivan3 [116]

Answer:

Step-by-step explanation:

x=30

m=abe=180

8 0

2 years ago

Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2

Phoenix [80]

Answer:

Step-by-step explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then letting the altitude be h

tan60° = $\frac{opposite}{adjacent}$ = $\frac{11\sqrt{6} }{h}$ = $\sqrt{3}$ ( multiply both sides by h )

11 $\sqrt{6}$ = h × $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

11 $\sqrt{2}$ = h

using the sine ratio in the triangle on the left and the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{h}{x}$ = $\frac{11\sqrt{2} }{x}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

$\sqrt{2}$ × x = 22 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 22

6 0

1 year ago

If Joe's heart beats 1,200,703 times

professor190 [17]

11 days, 21 hours, and 52 minutes have elapsed

(this answer is assuming he would have a normal heart rate of 70 bpm)

First, you would divide 1,200,703 by 70:

1,200,703/70=17,152.9

This is the amount of minutes that have elapsed.

Then, you convert the minutes to hours by dividing by 60:

17,152.9/60=285.8816667 (285 hours and 52 minutes)

This gives you how many hours and minutes have elapsed.

Finally, you calculate the number of days that have elapsed by dividing 285 by 24 (there are 24 hours in a day):

285/24=11.875 (11 days and 21 hours).

Put all of the amounts together to get the final answer:

11 days, 21 hours, and 52 minutes have elapsed

7 0

2 years ago

I need help show work<br> ill mark brainliest

Archy [21]

Answer:

The population will be 896 turtles 6 years later ⇒ B

Step-by-step explanation:

The exponential increasing formula is y = a $(1+r)^{x}$ , where

y is the new value

a is the initial value

r is the rate of increase in decimal

x is the time in years

∵ There are 300 turtles

∴ a = 300

∵ The population of the turtles exponentially increases 20% each year

∴ r = 20%

→ Divide it by 100 to change it to decimal

∵ 20% = 20 ÷ 100 = 0.2

∴ r = 0.2

∵ The time is 6 years

∴ x = 6

→ Substitute these values in the exponential formula above

∵ y = 300 $(1+0.2)^{6}$

∴ y = 300 $(1.2)^{6}$

∴ y = 895.7952

→ Round it to the nearest whole number

∴ y = 896

∴ The population will be 896 turtles 6 years later

7 0

2 years ago

Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)

Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

$A=\left(\dfrac{b_1+b_2}{2}\right)h$

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

$b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13$

Putting it altogether:

$A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44$

So the area of our trapezoid is 44.

4 0

3 years ago