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3 years ago

Please do both! Will mark brainliest

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

1. x = 19.9 2. x = 8.1

Step-by-step explanation:

1. Cos(x) = Adjacent/Hypotenuse We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.

Cos(17) = 19/x We substitue in the values then rearrange to give us x.

xCos(17) = 19 We multiply both sides by x.

x = 19/Cos(17) We divide by Cos(17).

x = 19.86814337 We put it into the calculator.

x = 19.9 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

2. Tan(x) = Opposite/Adjacent We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.

Tan(51) = 10/x We substitute in the values then rearrange to give us x.

xTan(51) = 10 We multiply both sides by x.

x = 10/Tan(51) We divide by Tan(51).

x = 8.097840332 We put it into the calculator.

x = 8.1 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

Hope that helps you.

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Question 24 Multiple Choice Worth 1 points)

hammer [34]

Given:

The system of equations is:

Line A: $y=x-4$

Line B: $y=3x+4$

To find:

The solution of given system of equations.

Solution:

We have,

$y=x-4$ ...(i)

$y=3x+4$ ...(ii)

Equating (i) and (ii), we get

$x-4=3x+4$

$-4-4=3x-x$

$-8=2x$

Divide both sides by 2.

$-4=x$

Substituting $x=-4$ in (i), we get

$y=-4-4$

$y=-8$

The solution of system of equations is (-4,-8).

Now verify the solution by substituting $x=-4, y=-8$ in the given equations.

$-8=-4-4$

$-8=-8$

This statement is true.

Similarly,

$-8=3(-4)+4$

$-8=-12+4$

$-8=-8$

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0

3 years ago

Write and equation and solve it

Vedmedyk [2.9K]

Answer: he have saved $500? ... the question. Does your answer make sense? ... Solve the following problems and show all your work. (Remember to use the 5 steps for solving two-step equation word problems!) | 1. ... Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints.

Step-by-step explanation:

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3 years ago

There are two triangles. One has a base of 8cm and the height of 10 cm the other has a base of 5cm and a height of 13cm which tr

mina [271]

Answer:

The first triangle is larger

Step-by-step explanation:

(1/2)(8)(10)=40

(1/2)(5)(13)=32.5

4 0

3 years ago

Hi can you make the numbers

elena-14-01-66 [18.8K]

For 44
7x2=14
14+8=22
22x2=44
Is this ok, I hope I helped :)

4 0

3 years ago

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In

Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment. Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

<u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score) and the relation is a function.

3 0

3 years ago