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Rudiy27
3 years ago
15

PLEASE HELP ASAP trigonometry

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(32)° = \frac{x}{14}

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

    sin(54°) = \frac{22}{x}

     x = \frac{22}{\text{sin(54)}}

     x = 27.19°

     x ≈ 27.2°

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timurjin [86]

Answer:

f=22 degrees, g=89 degrees

step by step explaination:

When two lines are parallel to one another, and a line is drawn between them, any angle labeled will be equal to the angle on the opposite side of the middle line. This would make f=h, g=d, and even the angle 69 equal to angle e.

5 0
3 years ago
Hey everyone! A little help will be needed/appreciated
lesya [120]

Answer:

2 and 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)=

Rewrite as

-5.25 + 7.5 =2.25

5 0
3 years ago
Read 2 more answers
Boris choos three diffrent numbers.the sum of the three numbers is 36.One of trh numbers is a cube number.the other two number a
inna [77]

Answer:

4,5,27

Problem:

Boris chose three different numbers.

The sum of the three numbers is 36.

One of the numbers is a perfect cube.

The other two numbers are factors of 20.

Step-by-step explanation:

Let's pretend those numbers are:

a,b, \text{ and } c.

We are given the sum is 36: a+b+c=36.

One of our numbers is a perfect cube. a=n^3 where n is an integer.

The other two numbers are factors of 20. bk=20 and ci=20 where a,c,i, \text{ and } k \text{ are integers}.

n^3+\frac{20}{k}+\frac{20}{i}=36

From here I would just try to find numbers that satisfy the conditions using trial and error.

3^3+\frac{20}{2}+\frac{20}{2}

27+10+10

47

3^3+\frac{20}{4}+\frac{20}{5}

27+5+4

36

So I have found a triple that works:

27,5,4

The numbers in ascending order is:

4,5,27

4 0
3 years ago
Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.
n200080 [17]

<em>Question Continuation:</em>

<em>Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce. </em>

<em>Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.</em>

<em></em>

Answer:

y = \frac{15}{8}\ lb

Step-by-step explanation:

Given

Weight of Tomato = 3 lb

Used Proportion = 5/8

Required

Determine the portion used

To solve this we simply multiply the used proportion by the weight of the tomato bought

Represent the used portion with y.

So:

y = Weight * Used\ Proportion

y = 3\ lb * \frac{5}{8}

y = \frac{15}{8}\ lb

4 0
3 years ago
A recipe calls for ¾ cups of molasses. If you triple the recipe, how much molasses is needed?
labwork [276]

Answer:

9/4 exact form 2.25 decimal form 2 1/4 mixed number form

Step-by-step explanation:

3 0
3 years ago
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