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Alika [10]
3 years ago
9

Please help me with this

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

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Derek uses a 136 cm flat steel bar that weighs 4 kg to make rack in the garage. Determine the weight of a 170 cm steel bar
Bumek [7]

The weight of a 170 cm steel bar will be 5 Kg

Step-by-step explanation:

Derek uses a 136 cm flat steel bar that weighs 4 kg to make rack in the garage.

1 kg = 1000 gm

So the weight of 1 cm steel bar will be  \frac{4 }{136} kg

Weight of 1 cm bar = \frac{4000}{136} gm

Let the weight of a 170 cm steel bar will be \frac{4000 }{136} × 170 gm

⇒4000 × 1.25 gm

⇒ 5000 gm

⇒5 kg

Hence, the weight of a 170 cm steel bar will be 5 Kg

4 0
3 years ago
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
Alik [6]

Answer:

area = 200.96  \: {units}^{2}  \\ circumfrence = 50.24 \: units

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

area = \pi {r}^{2}  \\ circumfrence = 2\pi \: r

<em>*</em><em>no</em><em>te that pi is 3.14*</em><em> </em>Therefore the area is:

formula = \pi {r}^{2}  \\ 3.14 \times  {8}^{2}  =  \\ 3.14 \times 64 = 200.96

Therefore the circumference is:

formula = \: 2\pi \: r \\ (2)(3.14)(8) =  \\ 3.14 \times 16 = 50.24

3 0
2 years ago
Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0
3 years ago
Explain: How would you solve the equation? Place the steps below in the correct order.
nirvana33 [79]

use the distributive property

combine alike terms

add the negative number to the other side

combine alike terms

then divide on both sides to get the variable by itself

8 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
KIM [24]

Answer:

4th dot

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
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