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3 years ago

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Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

This problem is just really long- it's trying to confuse you with complicated wording. Here's it demystified:

t = 0 degrees Celsius

d = 1500 meters

Find the temperature, T.

d = 300 meters

T = 26 degrees Celsius

Find the ground temperature, t.

NOTE: The temperatures are different! T is the final temperature and t is the ground temperature.

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A cylindrical can contains an unknown number of golf balls. The can has a height of 10 inches and a volume of 15.625 Pi inches c

AlladinOne [14]

20 golf balls can fit in the can.

Step-by-step explanation:

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = $\frac{1.68}{2} = 0.84 in$

Volume of the golf ball = $\frac{4\pi r^3}{3}$

= $\frac{4\pi (0.84)^3}{3}$

= $2.5 (or) 0.79 \pi inches$

Volume of the can = $15.625\pi in^3$

Now we have to divide the volume of the can by the volume of the golf ball, we will get = $\frac{15.625 \pi }{0.79\pi } = 19.7$ balls

Thus we can conclude that approximately 20 balls can be filled in that can.

7 0

4 years ago

Please help!!! Its an emergency

Zigmanuir [339]

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

$\sin(45)=\frac{z}{5\sqrt{2} }$

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

$\sin(30)=\frac{5}{x} \\x=10$

5 0

3 years ago

Read 2 more answers

2х5y-3z-=14 x-2y+=-12 -x+ Зу-2z =13

lukranit [14]

Answer:

x = -34/3, y = 1/3, and z = -35/3

Step-by-step explanation:

2х+5y-3z-=14 let's call this equation 1.

x-2y=-12 let's call this equation 2.

-x+Зу-2z =13 let's call this equation 3.

USING EQUATION 1 AND EQUATION 3.

2х+5y-3z-=14 (EQUATION 1)

-x+Зу-2z =13 (EQUATION 3)

LET'S GET RID OF z, BY MAKING THE COEFFICIENT OF z IN THE TWO EQUATION THE SAME. WE WILL MULTIPLY EQUATION 1 BY 2 AND EQUATION 3 BY 3.

2х+5y-3z-=14 (EQUATION 1) * 2

-x+Зу-2z =13 (EQUATION 3) * 3

4х+10y-6z-=28 let's call this equation 4.

-3x+9у-6z =39 let's call this equation 5.

TO GET RID OF z, WE WILL HAVE TO SUBTRACT EQUATION 5 FROM EQUATION 4 PLEASE TAKE NOTE OF THE SIGNS (-) (+).

4х+10y-6z-=28 (EQUATION 4)

- (-3x+9у-6z =39) (EQUATION 5)

(4x - 3x) + ((+10y) - (+9y)) + ((-6z) - (-6z)) = (28 - 39)

x + y + 0 = -11

x + y = -11 let's call this equation 6.

USING EQUATION 2 AND EQUATION 6, LET'S FIND x AND y.

x-2y=-12 (EQUATION 2)

x + y = -11 (EQUATION 6)

x has the same coefficient in both equations, which is 1. Let's get rid of x so we can find the value of y.

We will subtract equation 6 from equation 2. Take note of the signs.

x-2y=-12 (EQUATION 2)

- (x + y = -11) (EQUATION 6)

(x - x) + ((-2y) - (+y)) = ((-12) - (-11))

0 + -3y = -1

-3y = -1

Divide both sides by -3.

-3y/-3 = -1/-3

y = 1/3

LET'S SUBSTITUTE THE VALUE OF y INTO EQUATION 2 TO GET THE VALUE OF x.

x-2y=-12 (EQUATION 2)

x-2(1/3)=-12

x -2/3 = -12

Add 2/3 to both sides.

x -2/3 + (2/3) = -12 + (2/3)

x + 0 = -34/3

x = -34/3

LET'S SUBSTITUTE THE VALUES OF x and y INTO EQUATION 1 TO GET THE VALUE OF z.

2х+5y-3z-=14 (EQUATION 1)

2(-34/3)+5(1/3)-3z-=14

-68/3 + 5/3 - 3z = 14

-21 - 3z = 14

Add 21 to both sides.

-21 + (21) - 3z = 14 + (21)

0 - 3z = 35

-3z = 35

Divide both sides by -3.

-3z/-3 = 35/-3

z = -35/3 or

Therefore, x = -34/3, y = 1/3, and z = -35/3

Please thank, rate 5 stars, and give brainliest. Thank you.

6 0

3 years ago

Can you simplify 9/22

olga_2 [115]

Answer:

9/22 to its simplest form and convert it to a mixed number if necessary. In the fraction 9/22, 9 is the numerator and 22 is the denominator.

Step-by-step explanation:

Hope this helps i learned this a while ago

7 0

3 years ago

Read 2 more answers

How many solutions does the following equation have 3(f - 5) = 6f - 12 + 3f

Crazy boy [7]

Answer: Two answers: f=-3

f=3

Step-by-step explanation:

3(f-5)=6f-12+3f

3f-15=6f-12+3f

-15+12=6f+3f-3f

F=-3

Answer2

3(f-5)=6f-12+3f

3f-15=6f-12+3f

3f-6f+3f=-12+15

F=3

5 0

3 years ago