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Lady bird [3.3K]
3 years ago
11

A.118 B.242 C.180 D.149

Mathematics
1 answer:
Scrat [10]3 years ago
5 0

Answer:

Step-by-step explanation: First find angle 2. 180-59= 121 angle 1 and 2 are equal so their sum must be

242

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A solution is heated from 0°C to 100°C. Between 0°C and 50°C, the rate of temperature increase is 1.5°C/min. Between 50°C and 10
muminat

Answer:

0.6 °C/min

Step-by-step explanation:

The relationship between rates and movement is ...

time = distance/speed

Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.

For the first half of the heating, the time required is ...

(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min

For the second half of the heating, the time required is ...

(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min

Then the total time is ...

((100/3) +125) min = (475/3) min

And the average rate of temperature increase is ...

total temperature change / total time

= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min

4 0
3 years ago
A half-acre building lot is five times as long as it is wide. What are its dimensions?
Gnoma [55]

we know that

A half-acre is equal to----------> 2,023.43\ m^{2}

Let

x---------> the length side of the building lot

y--------> the width side of the building lot

A------> Area of the building lot

x=5y-------> equation 1

A=2,023.43\ m^{2}

A=x*y

2,023.43=x*y --------> equation 2

substitute equation 1 in equation 2

2,023.43=[5y]*y

5y^{2}= 2,023.43\\y^{2}= 404.686\\y= 20.11\ m

<u>Find the value of x</u>

x=5y---> x=5*20.11--> x=100.55 m

therefore

<u>the answer is</u>

the dimensions of the building lot are 100.55 m* 20.11 m

6 0
3 years ago
Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and
enot [183]

Answer:

a. $13

b. $3

Step-by-step explanation:

Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.

Cups $2

Lemons $8

Sugar $3

a. How much money do the supplies cost?

b. How much money does he have to spend?

a. Cost of each supply;

Cups $2

Lemons $8

Sugar $3

Total cost of the supplies = $2 + $8 + $3

= $13

b. How much money does he have to spend?

His mother agreed to loan him $10

Total cost of supplies = $13

Amount of money he has to spend = Total cost of supplies - Loan from his mother

= $13 - $10

= $3

7 0
3 years ago
Help me answer this question
Roman55 [17]

Answer:

  5 seconds

Step-by-step explanation:

When the ball returns to its original height, it will be 96 ft from the ground. That means we want to solve for t ...

  h(t) = 96

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  16t(5 -t) = 0 . . . . subtract 96 and factor

This equation is true for t=0 and for t=5.

After 5 seconds, the ball will pass the top of the building on the way down.

3 0
3 years ago
Explain the difference in the solutions of linear inequalities and the solutions of systems of linear inequalities.
adoni [48]
Linear Equation

A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3.

Linear Inequalities

A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus

6 0
3 years ago
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