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3 years ago

The temperature is 3 degrees Celsius. The weather warms up and the temperature increases

Mathematics

1 answer:

Firdavs [7]3 years ago

6 0

Answer:

it would be 7 degrees

Step-by-step explanation:

Celsuis means under the 0 degree zone, so when it says 3 degrees celsius and you add 10, you would count from 3. Which leads you to 7 degrees

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A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s

mojhsa [17]

Answer:

(a) 25.08 m

(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, $\theta=25$ °

Initial speed is, $u=15\ m/s$

Time of flight is, $t=3.0\ s$

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

$u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s$

Vertical displacement of the brick is equal to the height of the building.

So, vertical displacement = $-h$ (Negative sign implies downward motion)

Acceleration is due to gravity in the downward direction. So,

Acceleration is, $g=-9.8\ m/s^2$

Now, using the following equation of motion;

$-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m$

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, $v_y=0\ m/s$

Now, using the following equation of motion, we have:

$v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m$

Therefore, the maximum height of the brick is 2.05 m.

5 0

3 years ago

A driveway has an area of 96 square feet. The width of the driveway is 8 feet.

Mrrafil [7]

Answer:

12 feet

Step-by-step explanation:

A driveway is rectangular in shape.

Therefore we can calculate the area using the formula;

$A = L \times W$

From the question;

The area,A=96 feet square

The width, W=8 feet

We substitute this values into the formula to find the length, L.

This implies that

$96 =L \times 8$

Dividing through by 8.

$\implies \frac{96}{8}= \frac{L \times 8}{8}$

$\implies L = 12$

Hence,the length of the driveway is 12 feet.

4 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and

Marysya12 [62]

The solution to the system of equation are (0, -2) and (1, 0)

<h3>Solution to system of equations</h3>

System of equations are equations that has unknown and more than 1 equations.

Given the system of equations

y = x^2 + x – 2

y = 2x – 2

Equate both expressions

x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1

If x = 0

y = 0 - 2 = -2

If x = 1

y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)

Learn more on system of equation here: brainly.com/question/13729904

#SPJ4

7 0

2 years ago

What does 15 and 14 go into evenly

RUDIKE [14]

15= 3*5
14= 2*7
LCM(15,14)= 2*3*5*7= 210

15 and 14 go into 210 evenly~

6 0

4 years ago

Read 2 more answers

Linda calculated that the saucer for her teacup has an area of 50.24 square centimeters. What is the saucer's circumference?

Brilliant_brown [7]

Answer:

The saucer's circumference is <u>25.12 centimeter</u>.

Step-by-step explanation:

Given:

Linda calculated that the saucer for her tea cup has an area of 50.24 square centimeters.

Use 3.14 for π.

Now, to find the saucer's circumference.

So, we get the radius first by putting the formula of area:

Area = 50.24 square centimeters.

Let radius be $r.$

$Area = \pi r^2.$

$Area = \pi\times r^2.$

As given we use 3.14 for π.

$50.24 = 3.14\times r^2.$

<em>Dividing both sides by 3.14 we get:</em>

$16=r^2.$

<em>Using square root on both sides we get:</em>

$4=r$

$r=4$

Thus, the radius = 4 centimeters.

Now, to get the circumference we put formula:

$Circumference=2\pi r$

$Circumference=2\times \pi \times r$

$Circumference=2\times 3.14\times 4$

$Circumference=25.12$

Circumference = 25.12 centimeter.

Therefore, the saucer's circumference is 25.12 centimeter.

3 0

4 years ago