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wolverine [178]

3 years ago

11

In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157

by 10 repeatedly. Each time, write the remainder in the last column and the quotient in the dividend column. You can stop dividing when you get a 0 in the dividend column.

1 answer:

allochka39001 [22]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

<em>As per the requirement of the question, no further action or operation is required</em>

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Find the volume of the pyramid. v=

sladkih [1.3K]

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

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3 years ago

Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the

Flauer [41]

Answer:

$\angle D=37.7^{\circ}$

$\angle E=52.3^{\circ}$

$FD\approx 28.5$

Step-by-step explanation:

Please find the attachment.

We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(D)=\frac{22}{36}$

$D=\text{sin}^{-1}(\frac{22}{36})$

$D=37.66988696^{\circ}$

$D\approx 37.7^{\circ}$

Therefore, measure of angle D is 37.7 degrees.

Now, we will find measure of angle E using angle sum property.

$m\angle E+m\angle F+m\angle D=180^{\circ}$

$m\angle E+90^{\circ}+37.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}-127.7^{\circ}=180^{\circ}-127.7^{\circ}$

$m\angle E=52.3^{\circ}$

Therefore, measure of angle E is 52.3 degrees.

We will use Pythagoras theorem to solve for side FD as:

$FD^2+EF^2=ED^2$

$FD^2+22^2=36^2$

$FD^2+484=1296$

$FD^2=1296-484$

$FD^2=812$

$FD=\sqrt{812}$

$FD=28.495613697\\\\FD\approx 28.5$

Therefore, length of side FD is approximately 28.5 units.

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3 years ago

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

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Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

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Hence, our point slope form equation is:

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3 years ago

Two trains are traveling at constant speeds on different tracks.

Natasha2012 [34]

Answer:

Train B is traveling faster

Step-by-step explanation:

From the picture, we want to know which train is traveling faster

We can know this by knowing the speed of the trains

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So train B is traveling faster

This is because it covered a distance of 100 m in 4 seconds as opposed to train A which covered a distance of 12.5 m

in 1 second

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3 years ago

9c-3c=48 what does c equal

BabaBlast [244]

Answer: c = 8

Step-by-step explanation:

Simplifying

9c + -3c = 48

Combine like terms: 9c + -3c = 6c

6c = 48

Solving

6c = 48

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '6'.

c = 8

Simplifying

c = 8

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3 years ago

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