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postnew [5]
2 years ago
15

HELPPPPPPPPPPPPPP !!!!!!

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
5 0

Answer:

35 degrees

Step-by-step explanation:

Degrees in a triangle: 180

Assume Angle C = 90 degrees

180-55-90 = 35 degrees

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Find the volume of the figure shown 2m 6m 6m 9m 16m
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Step-by-step explanation:

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2 years ago
without building the graph, find the coordinates of the point of intersection of the lines given by the equation y=3x-1 and 3x+y
DaniilM [7]
<h2><u>1. Determining the value of x and y:</u></h2>

Given equation(s):

  • y = 3x - 1
  • 3x + y = -7

To determine the point of intersection given by the two equations, it is required to know the x-value and the y-value of both equations. We can solve for the x and y variables through two methods.

<h3 /><h3><u>Method-1: Substitution method</u></h3>

Given value of the y-variable: 3x - 1

Substitute the given value of the y-variable into the second equation to determine the value of the x-variable.

\implies 3x + y = -7

\implies3x + (3x - 1) = -7

\implies3x + 3x - 1 = -7

Combine like terms as needed;

\implies 3x + 3x - 1 = -7

\implies 6x - 1 = -7

Add 1 to both sides of the equation;

\implies 6x - 1 + 1 = -7 + 1

\implies 6x = -6

Divide 6 to both sides of the equation;

\implies \dfrac{6x}{6}  = \dfrac{-6}{6}

\implies x = -1

Now, substitute the value of the x-variable into the expression that is equivalent to the y-variable.

\implies y = 3(-1) - 1

\implies     \ \ = -3 - 1

\implies     = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h3 /><h3><u>Method 2: System of equations</u></h3>

Convert the equations into slope intercept form;

\implies\left \{ {{y = 3x - 1} \atop {3x + y = -7}} \right.

\implies \left \{ {{y = 3x - 1} \atop {y = -3x - 7}} \right.

Clearly, we can see that "y" is isolated in both equations. Therefore, we can subtract the second equation from the first equation.

\implies \left \{ {{y = 3x - 1 } \atop {- (y = -3x - 7)}} \right.

\implies \left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

Now, we can cancel the "y-variable" as y - y is 0 and combine the equations into one equation by adding 3x to 3x and 7 to -1.

\implies\left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

\implies 0 = (6x) + (6)

\implies0 = 6x + 6

This problem is now an algebraic problem. Isolate "x" to determine its value.

\implies 0 - 6 = 6x + 6 - 6

\implies -6 = 6x

\implies -1 = x

Like done in method 1, substitute the value of x into the first equation to determine the value of y.

\implies y = 3(-1) - 1

\implies y = -3 - 1

\implies y = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h2><u>2. Determining the intersection point;</u></h2>

The point on a coordinate plane is expressed as (x, y). Simply substitute the values of x and y to determine the intersection point given by the equations.

⇒ (x, y) ⇒ (-1, -4)

Therefore, the point of intersection is (-1, -4).

<h3>Graph:</h3>

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1 year ago
Suppose a pizza must fit into a box with a base that is 12 inches wide.
mojhsa [17]
The area of the whole pizza must be at most 113.10 square inches in order to perfectly fit in the box. The values of r represent the half of the length of the pizza with respect to its center. In this case, the r must not exceed 6 inches (r ≤ 6 inches) in order to fit in the pizza box. On the other hand, the values of a represent the total area the pizza will occupy. In this case, the a must not exceed 113.10 square inches (a <span>≤ 113.10) </span>in order to house the pizza perfectly. 
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3 years ago
A number sentence is shown below:
d1i1m1o1n [39]

Number sentence is simply a sentence, that uses numbers and arithmetic signs.

  • The context that can be created from the sentence is: <em>How many bits are there, in </em>32\frac 14 bytes
  • The verbal meaning of 32\frac 14 \div \frac 18 = 258 is:  <em>When </em>32\frac 14<em> is divided by </em>\frac 18<em>, the result is </em>258<em />

<em />

Given

32\frac 14 \div \frac 18 = 258

<u />

<u>(a) Context or story</u>

A context is as follows:

<em>There are 8 bits in a byte; How many bits are there, in </em>32\frac 14 bytes

<u />

<u>(b) As a multiplication</u>

32\frac 14 \div \frac 18 = 258

Change the <em>division to multiplication </em>as follows:

32\frac 14 \times \frac 81 = 258

<u />

<u>(c) Verbal explanation how the numbers are related</u>

When 32\frac 14 is divided by \frac 18, the result is 258

Read more about number sentence at:

brainly.com/question/17322770

4 0
2 years ago
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