solve the right angle trig problem. round to the nearest tenth.

Solve The Right Angle Trig Problem. Round To The Nearest Tenth.

Answers

Answer 1

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 38°

Adjacent Leg = x

Hypotenuse = 21

Step 3: Solve for x

Substitute [cosine]:                    cos38° = x/21Isolate x:                                     21cos38° = xRewrite:                                      x = 21cos38°Evaluate:                                     x = 16.5482Round:                                        x ≈ 16.5

Related Questions

Six more than twice a number is ten. Find the number.
a. Write the equation.
b. Solve for the variable

Answers

Answer:

2x + 6 = 10

x = 2

Step-by-step explanation:

2x + 6 = 10

2x = 4

x = 2

The required number is 2 and

a. The equation is 2x + 6 = 10

b. The variable is x = 2

What are linear equation?

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Let x be the number.

Now according to the given statement,

Six more than twice a number is 2x + 6

and it is 10.

So we can write
2x + 6 = 10

Substracting by 6 to the both side we get,

2x = 4

Dividing the equation by 2 we get

x = 2

Hence,The required number is 2 and

a. The equation is 2x + 6 = 10

b. The variable is x = 2

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Given 18.6 × 4.5, find the product.

83.7
75.33
72.3
8.37

Answers

Answer:

83.7

Step-by-step explanation:

just use ur calculator

If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!

Answers

Answer:

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Step-by-step explanation:


Find T given that the line segment joining:

(2,5) and (T, T) has gradient 4/7

Answers

Key ConceptsSolving for the slope/gradientSystems of equations

The slope (or gradient) can be solved by using this equation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the line

Solving the Question

We're given:

Line passes through (2,5) and (T,T)Gradient = [tex]\dfrac{4}{7}[/tex]

Plug all the given information into the equation above:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{4}{7}=\dfrac{T-5}{T-2}[/tex]

This means that T - 5 must equal 4 and T - 2 must equal 7.

[tex]T-5=4[/tex]

[tex]T-2=7[/tex]

Isolate T:

[tex]T=5+4[/tex]

[tex]T=9[/tex]

[tex]T=7+2[/tex]

[tex]T=9[/tex]

Answer

T = 9

Neil has partially full cans of white paint. They contain 1/3 gallon,1/5 gallon ,and 1/2 gallon of paint. About how much paint does Neil have in all ?

Answers

Answer:

31/30 cans of paint

Step-by-step explanation:

We must find a common denominator to add all of these fractions together. We notice that 3 x 5 x 2 = 30. So 10/30 + 6/30 + 15/30 = 31/30 cans of paint

what is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x+3y=15?

Answers

[tex]equation \: of \: required \: line \implies[/tex]

[tex]4x + 3y + k = 0-----(1)[/tex]

[tex]since \: it \: passes \: through \: ( - 3,1),[/tex]

[tex] - 12 + 3 + k = 0[/tex]

[tex]k = 9[/tex]

[tex]substituting \: in \: k = 9 \: in \: (1),[/tex]

we get,

[tex]4x + 3y + 9 = 0[/tex]

[tex]hence \: the \: equation \: of \: the \: line \implies[/tex]

[tex] \red{ \boxed{ \bold{4x + 3y + 9 = 0}}}[/tex]

Find the Slope m of the line that passes through the pair of points ( -4 , 4 ) and ( -4 , 0 ).

Answers

The slope is 0.5
In an equation it would be 0.5x
the line passes through (-4,4)and(-4,0)is a vertical one . The slope is 90degree , but it doesn’t have a value

6.
Find the HCF of 12ab2, 9ab'c and 36abc.

Answers

Answer:

first make all seperate and find out the commons

Answer:

3ab

Step-by-step explanation:

12ab²= 3*2*2*a*b*b

9abc = 3*3*a*b*c

36abc = 3*3*2*2*a*b*c

HCF = 3ab

in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 3. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 53 and 59?

Answers

Answer:

i am very sad , because I had ordered some clothes and it's been 15 days and still it's not arrived

Step-by-step explanation:

Answer

Step-by-step explanation:

from least to greatest:

1) g (x)

2) f (x)

3) h (x)

I’ll mark u brainliest if u answer this question!!.!!!!!!!!!-!!:):):)

Answers

Answer:

a)60 per week

b) 6 weeks

Step-by-step explanation:

a)

[tex]240/4=60[/tex]

b)

[tex]349\leq 60x\\349/60\leq 60x/60\\5.82\leq x[/tex]

Y=2x-14 , y=-8+16
One solution
Infinity solution
No solution

Answers

Answer:

One solution; x = 11, y = 8

Step-by-step explanation:

y = 2x - 14

y = -8 + 16

y = -8 + 16

y = 8

y = 2x - 14

8 = 2x - 14

2x = 22

x = 11

What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-4y=24

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

x - 4y = 24

-4y = -x + 24

y = [tex]\frac{1}{4}[/tex]x - 6

m⊥ = -4

y = -4x + b

7 = -4 ( -2 ) + b

7 = 8 + b

b = -1

y = -4x - 1

Is this a function? {(2,2),(-1,5),(5,2),(2,-4)}

Answers

The given set of ordered pairs, {(2,2),(-1,5),(5,2),(2,-4)}, is not a function.

When is a Relation a Function?

In a function, we have the domain values which are the set of x-values (input values), and the range values which are the set of y-values (output values). Each x-value of a function can only have one corresponding y-value. This implies that for a relation to be considered a function, no two y-values must be related or correspond to exactly one x-value.

Given, {(2,2),(-1,5),(5,2),(2,-4)}, the x-value, 2, is related to two different y-values, 2 and -4.

Therefore, the given set of ordered pairs is not a function.

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Jamie is training for race and runs a 9 minute mile. She has cut a total 39 seconds off her time over the past 6 months. The situation can represented by the expression- 39 divided by 6. On average, how much time she cut off of her mile each month? Find the solution and explain what it means in the context of the problem.

Answers

1) On average, the time Jamie cut off her mile each month is 6.5 seconds.

2) In this context, the 6.5 seconds that Jamie cut off her mile each month means that she can finish a 9-minute-mile race by less than 6.5 seconds.

How is the average cut-off time determined?

The average cut-off time per month is determined by the mathematical operation of division.

Average refers to the mean of a data set divided by the number in the data set.

Data and Calculations:

The race Jamie is training for = a 9-minute mile

Cut-off time achieved in 6 months = 39 seconds

Period of training = 6 months

Average cut-off time = 6.5 seconds (39/6)

Time Jamie can finish the race = 8 minutes and 53.5 seconds (9 minutes - 6.5 seconds)

Thus, Jamie can complete the race in 8 minutes and 53.5 seconds if she maintains the average.

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SYSTEMMMMMMM OF A EQUATIONSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer: B maybe i hope this was help

Step-by-step explanation:

i’m pretty sure it’s C

I need help finding the midpoint ​

Answers

0,3 or 3,0 is the answer

Answer:

(0,3)

Step-by-step explanation:

This is the middle of the graph.

Have a great day!!

a line passes through the point (-4, 7) and has a slope of 5/4

Answers

Answer:

y = 5/4x+ 7

Step-by-step explanation:

slope - intercept form : y =mx+b

m = slope

b = y intercept

slope (m): 5/4

y intercept (b) = 7

y = 5/4x+7

What are the vertex and range of y = |x + 1| + 3?

Answers

According to the given statement

The vertex of the function y = |x + 1| + 3 is (-1,3).

The range of the function y = |x + 1| + 3 is [3,∞)

what is Absolute value function?

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

According to the given information:

The vertex of the function y = |x + 1| + 3

The function is given as:

y = |x + 1| + 3

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a |x – h| + k

Where, the vertex is (h ,k)

So, we have:

(h ,k) = (-1,3)

Hence, the vertex of the function y = |x + 1| + 3 is (-1,3).

The range of the function y = |x + 1| + 3 is [3,∞)

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Ten more than half a number is 9

Answers

I guess the number is being taken of by 1

Write an equation for a line that passes thruogh (3,-1) and has a slope of 2

Answers

Answer:

y=2x−7

Step-by-step explanation:

so

formula is ( y 1 − y = m ( x 1 − x))

m is the slope

-1-y=2(3-x)

add 1 to both sides

−y−1+1=−2x+6+1

−y=−2x+7

divide both sides by -1

y=2x−7

Hope this helps

Brainliest please

Ask if u have more questions.

You invest ​$2,500 in each of two accounts. Account A earns simple interest at a rate of ​2% over 4 years. Account B earns simple interest at a rate of ​6% over 18 months. Find the interest earned by each account. How does the interest earned by the two accounts​ compare? Use paper and pencil. Give an example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year. Give an example of two principal amounts and two periods of time for which the simple interest earned at ​2.42% would be equal

Answers

Answer: See explanation

Step-by-step explanation:

You invest ​$2,500 in each of two accounts. Account A earns simple interest at a rate of ​2% over 4 years.

Interest = PRT / 100

= (2500 × 2 × 4) / 100

= 20000 / 100

= $200

Account B earns simple interest at a rate of ​6% over 18 months.

Interest = PRT / 100

= (2500 × 6 × 1.5) / 100

= 22500 / 100

= $225

Interest for account B is more than that of account A at a shorter period of time.

An example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year will be:

A: Principal = $2000

Interest rate = 3%

Simple interest = (2000 × 3 × 1)/100 = $60

B. Principal = $3000

Interest rate = 2%

Simple interest = (3000 × 2 × 1) / 100

= 6000 / 100

= $60

a semigroup which has a left identity element and in which every element has a right inverse is a group

Answers

Element and in which every element has a right inverse is a group?

Now, If both the identity and the inverse are of the same side, this is simple. For, instead of the above, say every element has a left inverse. For a∈G denote this left inverse by a−1.

Then(aa−1)(aa−1)=a(a−1a)a−1=aa−1

and we can use the fact that

cc=c

⟹c=1

to get that inverses are in fact two-sided: aa−1=1

From which it follows that

a=1⋅

a=(aa−1)a=a(a−1a)=a⋅

1 as desired. But in the scenario given we cannot use cc=c⟹c=1, and I can see no other way to prove this.

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Given the following functions, find and simplify (f. g)(5.5).
Provide your answer below:
(f-g)(5.5)=
f(x) = -x + 6
g(x) = -12x - 6

Answers

Answer:

78

Step-by-step explanation:

To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value

g(5.5) = -12(5.5) - 6 = -66 - 6 = -72

Use this value for x in f(x) = -x + 6

f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78

HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A

Step-by-step explanation:

a is the answer i believe

this book is presently being used at xgnu university. the area of the cover of this book is 72.5 square krylls. what is its area in square blims?"" excerpt from: steven s. zumdahl. ""introductory chemistry: a foundation."" ibooks.

Answers

Converting the book's cover area from 72.5 square krylls to square blims is 0.051785 square blims.

What is the conversion rate?

The conversion rate refers to the rate of change of a unit of measurement to another unit.

For example, the conversion rate for 100 centimeters equals 1 meter.

To convert the higher unit to a smaller unit, we divide.

Data and Calculations:

Given that 1400 kryll = 1 blim

Area of the book's cover = 72.5 square krylls

The area in square blims = 0.051785 square blims (72.5/1,400).

Thus, the converted area of the book's cover from 72.5 square krylls to square blims is 0.051785 square blims.

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Question Completion:

The Xgnuese has 14 fingers, perhaps it is not surprising that 1400 kryll = 1 blim.

find nth term of 3,6,11,18 and give steps please (method)​

Answers

Answer:

excuse me friend, for you to get the next pattern, you have to know what has been done from this number to the other number.

so from 3 to 6 it was a + 3 from 6 to 11 it was a+5 from 11 to 18 it was a + 7.

if you look carefully,2,3 and 7 are odd numbers meaning that the next pattern should be an odd number (9) which will be added to the numbers at the top.

you can still say that they were increasing by 2. (3 to 5 to 7)

so you can add 2 to 7 to get a nine. then,add 9 to 18 to get a 27.

Good day.

Use the point-slope formula below to write an equation of a line passing
through (1, -3) that is parallel to the line y = –2x + 5. Make sure your
final answer is in slope-intercept (y=mx+b) form.

Answers

Step-by-step explanation:

x intercepts = (5/2, 0)

y intercepts = (0,5)

slope = -2

the line y = -2x-5 has a slope of -2 and parallel lines have the same slope

y + 3 = -2( x-1)

y + 3 = -2x + 2

answer: y = -2x -1

What are the solutions of 4x^2- x + 9 = 0 ?

PLEASE HURRY AND HELP ITS TIMED!!

Answers

Answer:

Hope this helps luv!

Step-by-step explanation:

There are no solutions. Copy and paste this for more help; 4x^2- x + 9 = 0

Which equation represents f(x)?
The graph of the cube root parent function y = fx is
translated to form f(x) shown on the graph.
Of(x) = 3/x+6 + 1
Ту
5
Of(x) = 3x - 6+1
4
F(X)
O f(x) = }}x+6-1
3
2+
1-
Of(x) = 3/X-6-1
2
4
4
6
8 10
х
-10-3 -6 -4 -24
- 2-
-3
4
47

Answers

Answer: The answer is A

Step-by-step explanation:

Hope this helps :)

Function transformation involves changing the form of a function.

The equation of the translated function is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

The parent function is given as:

[tex]f(x) = \sqrt[3]{x}[/tex]

First, the function is shifted left by 6 units.

The rule of this translation is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]f(x) = \sqrt[3]{x + 6}[/tex]

Next, the function is shifted up by 1 unit.

The rule of this translation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Hence, the equation of the translated function is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

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because a few extreme scores can create a deceptively large variation, the offers only a crude estimate of the variation in a data set.

Answers

Because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.

What is a range?The range of a set of numbers is the difference between the highest and lowest values. Subtract the smallest number from the largest number in the set to calculate the range. To calculate the range, find the maximum observed value of a variable and subtract the minimum observed value (the minimum). The range only considers these two values and ignores the data points between the distribution's two extremes.Because a few extreme scores can produce an erroneously large estimate of variation, the range provides only a rough estimate of the variation in a data set.

Therefore, because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.

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The complete question is given below:

Because a few extreme scores can create a deceptively large estimate of variation, the _________ offers only a crude estimate of the variation in a data set.

(A) standard deviation

(B) range

(C) mode

(D) mean

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