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3 years ago

Will someone help me with these 2 questions please?

Mathematics

1 answer:

masya89 [10]3 years ago

4 0

1. Use pythagoras theory
(7.1)^2 + (3.4)^2 = AB^2
AB = 7.87 (3 sig figures ) (check answer in calculator )

2. Use trigonometry
Tan(x)=opp/adj
Tan(x)=13.4/3.7
X=tan^-1 (13.4/3.7)
X= 74.6

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Plzzz helpppp!!!!!<br>How can you identify the solution to a system of inequalities?

VladimirAG [237]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

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2 years ago

What is the difference of 56.45 and 49.26

vodomira [7]

Answer:

7.19

Step-by-step explanation:

56.45

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3 years ago

Read 2 more answers

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minut

Keith_Richards [23]

Answer:

90 degrees

Step-by-step explanation:

Complete question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee

The initial temperature occurs at x = 0

Substitute x = 0 into the expression;

T=70(0.80)^x+20

T =70(0.80)^0+20

Since any value raise to power of zero is 1, hence;

T = 70(1)+20

T = 70+20

T = 90 degree Celsius

Hence the initial temperature of the coffee is 90 degrees

3 0

3 years ago

Find the volume of a cone with a diameter of 7 inches and a height that is 4 times the radius. Use 3.14 for pi, and round your a

Tatiana [17]

Answer:

179.50 $in^{3}$

Step-by-step explanation:

The equation for volume of a cone is:

$V=\pi *r^{2} *\frac{h}{3}$

The radius is half of the diameter so r= 3.5 in

The height is 4 times the radius so h=14

$V=3.14*3.5^{2} * \frac{14}{3}$

V= 179.50 $in^{3}$

7 0

3 years ago

Read 2 more answers

100 is 1/10 of what?

lawyer [7]

$\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

<h3>Further explanation </h3>

The question can be rewritten to $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }$

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.

Let's arrange it into an equation, i.e., $\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }$

Turn this equation over so that the position of variable M is on the left side.

$\boxed{ \ M \times \frac{1}{10} = 100 \ }$

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.

$\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }$

M = 1,000

Therefore, we have calculated the number that was asked.

Hence $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:

Adding
Subtracting
Multiplying, and/or
Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., $\boxed{ \ a \times b = b \times a \ }$

<h3>Learn more </h3>

The similar case brainly.com/question/106300
The similar case brainly.com/question/96882
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation

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3 years ago