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4 years ago

Round the number to the given place value

1 answer:

8 0

B. 24.62 is your answer

the order is

< -etc. hundred thousands, ten thousands, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, ten thousands, etc ->

hope this helps :D

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Who invented mathematics and what year was it invented?

ValentinkaMS [17]

it was invented in 500b.c. when there were dinosaurs <span />

8 0

3 years ago

Read 2 more answers

For ΔABC, ∠A = 3x - 8, ∠B = 5x - 6, and ∠C = 4x + 2. If ΔABC undergoes a dilation by a scale factor of 1/2 to create ΔA'B'C' wit

Snezhnost [94]

Answer:

D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°

Step-by-step explanation:

Given,

$\angle A=3x-8\\\angle B=5x-6\\\angle C=4x+2$

We know,sum of all 3 angles of a triangle is $180$ °

Doing so ,

$\angle A+\angle B+\angle C=180\\3x-8+5x-6+4x+2=180$

Simplifying all like terms,

$12x-12=180\\12x-12+12=180+12\\12x=192$

Dividing both side by 12

$x=\frac{192}{12}$

$x=16$

Now we plug this in each angles and find their exact values.

$\angle A=3x-8=(3\times16)-8=48-8=40$ °

$\angle B=5x-6=(5\times16)-6=80-6 =74$ °

$\angle C=4x+2 = (4\times16)+2=64+2=66$ °

Now substituting the $x=16$ in angles of dilated triangle.

$\angle A'=(2\times16)+8=32+8= 40$ °

$\angle B'=90-16=74$ °

$\angle C'=(5\times16)-14=80-14=66$ °

We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.

8 0

4 years ago

A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.

mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

$A(t) = A(0)(1 - r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that $A(0) = 10, r = 0.03$

$A(t) = A(0)(1 - r)^t$

$A(t) = 10(1 - 0.03)^t$

$A(t) = 10(0.97)^t$

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

$A(24) = 10(0.97)^{24} = 4.81$

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0

3 years ago

A sphere and cylinder have same radius and height the volume of cylinder is 27 which equation give volume of sphere

Troyanec [42]

Answer:

the answer is A≈9160.88

Step-by-step explanation:

A=4πr2=4·π·272≈9160.88418
where as a = area

4 0

4 years ago

Read 2 more answers

Can anyone help me please??

allochka39001 [22]

Answer:

-20x / (x-12) = y

Step-by-step explanation:

3/x - 5/y = 1/4

Multiply each side by 4xy to clear the fractions

4xy ( 3/x - 5/y = 1/4)

Distribute

12y - 20x = xy

Subtract 12y from each side

-20x = xy -12y

Factor out y

-20x = y(x-12)

Divide each side by (x-12)

-20x / (x-12) = y

4 0

4 years ago