Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Answers
Given:
A figure of a right triangle.
To find:
The missing side by using the trigonometric ratios.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\cos A=\dfrac{AC}{AB}[/tex]
[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]
[tex]0.857=\dfrac{b}{270}[/tex]
Multiply both sides by 270.
[tex]0.857\times 270=b[/tex]
[tex]231.39=b[/tex]
[tex]b\approx 231.4[/tex]
Therefore, the missing side length is b=231.4 inches.
Related Questions
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
I'm only sure about the second one
Answer:
Yes
Step-by-step explanation:
(2, 1) is a solution to the given system of linear equations.
x + 16y = 2 + 16*1 = 2 + 16 = 18
2x + 11y = 2*2 + 11*1 = 4 + 11 = 15
Paul has some money in his wallet, all in $1 bills. He buys a hat and has $6 left, as shown in
the model below.
How much did Paul pay for the hat?
Enter your answer in the box.
Answers
Answer:
we need to see the model
Step-by-step explanation:
model please
Solve the problem 8 - 2 9/14=
Answers
Mixed Number=5 5/14
Find the slope of the line that passes through the two points. (-3, -4), (6, 8)
Answers
Answer:
Step-by-step explanation:
let (x1 , y1) = ( - 3, - 4) and (x2 , y2) = ( 6 , 8)
Slope (m)
= y2 - y1 / x2 - x1
= 8 + 4 / 6 + 3
= 12 / 9
= 4/3
What is the explicit rule for the arithmetic sequence? 20.5, 16, 11.5, 7, 2.5, ...
Answers
Answer:
To determine the explicit rule for the arithmetic sequence of 20.5, 16, 11.5, 7, 2.5, ..., the following logical reasoning must be performed:
20.5 - 16 = 4.5
16 - 11.5 = 4.5
11.5 - 7 = 4.5
7 - 2.5 = 4.5
Thus, the explicit rule of the arithmetic sequence is that the numbers are gradually subtracted by 4.5, with which the next number of said sequence would be -2.
John multiplies 85 by 1.35. Which number might John be trying to find?
A. 135% of 85
B. 35% of 85
C. 13.5% of 85
D. 1.35% of 85
Answers
Answer:
A. 135% of 85
Step-by-step explanation:
When you find the percent of something, you multiply it by 100, so 1.35 ÷ 100 is 135
f(x)=3x(x^2+4x-5) evaluate f(-2)
Answers
Answer:
f(-2) = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
Step 2: Evaluate
Substitute in x [Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5][Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5][Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5][Brackets] Subtract: f(-2) = 3(-2)[-4 - 5][Brackets] Subtract: f(-2) = 3(-2)(-9)Multiply: f(-2) = -6(-9)Multiply: f(-2) = 54please help 7m - 10 - 4m + 3
Answers
Step-by-step explanation:
7m - 10 - 4m + 3
3m-7
Hope it helps
=7m-4m-10+3
=3m-7
i need help with this pls.
Answers
Answer:
The answer is D
Step-by-step explanation:
Plug all of the numbers in and they all work with the problem.
Which ratio is equivalent to 17:1?
Ο Α.
A. 17
17
0 B. 34 to 2
O C. 1 through 17
D. 1 to 1
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Hope this helps!❣️
Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answers
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Simplify the expression:
2n + 10(9 + 4n)
Answers
Answer:
42n+90
Step-by-step explanation:
Explaination:
2
n
+
10
(
9
+
4
n
)
Distribute:
=
2
n
+
(
10
)
(
9
)
+
(
10
)
(
4
n
)
=
2
n
+
90
+
40
n
Combine Like Terms:
=
2
n
+
90
+
40
n
=
(
2
n
+
40
n
)
+
(
90
)
=
42
n
+
90
work out the value of angle x 24 degrees
Answers
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
The value of x from the triangle is given by the equation x = 78°
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of angle ∠A = 24°
It is an isosceles triangle with ∠B = ∠C
So , the measures of the two angles are the same
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
x + x + 24° = 180°
On simplifying the equation , we get
2x = 156°
Divide by 2 on both sides of the equation , we get
x = 78°
Hence , the measure of x = 78°
To learn more about isosceles triangle click :
https://brainly.com/question/1900674
#SPJ2
WILL MARK BRAINLELIST HELPPPP ME
Answers
Answer:
17
Step-by-step explanation:
180 - 5 - 5 = 170 : 2 = 85 : 5 = 17
FIRST TWO PLEASE, HELP ASAP! THANK YOU SO MUCH I WILL MARK AS BRAINLIEST!!!
Answers
Answer:
Th answer to the first question is 18+6=24 the answer to the second question is 9 weeks
Please mark me brainliest!
Factorise
1) 9a^2 - 6a
Answers
Answer:
9a^2 - 6a
taking common
3a(3a-2)
Find the value that makes the proportion true.
Answers
Answer:
can not see page
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
One solution
Step-by-step explanation:
Basicly its just seeing if x can be anything, nothing or one thing so x · 0 = 0 has infinite answers, 4x + 6 = 11 has one solution, and 0x = 5 has no solution
Pls help me plssss plsssss
Answers
Answer:
B
Step-by-step explanation:
how many 1/2's in 4? thats how many bows so 4 ÷ 1/2
Answer:
it's b.
debbie can make 8 bowls
Olivia has 1/2 pound of raisins. She plans to eat them for snacks over the next 6 days. If she eats the same amount each day, What fraction of a pound of raisins will she eat each day
Answers
Answer :
1/12
Step by step :
Pounds of raisins : 1/2 = 0.5
Number of days : 6
Pounds of raisins she will eat every day :
0.5 ÷ 6 = 0.83333... = 1/12
please help!
Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation
Answers
A transformation which can not be used to prove that two circles are congruent to one another is: A. a dilation with a scale factor of 2.
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is dilation?Dilation can be defined as a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
In this context, we can reasonably infer and logically deduce that a dilation with a scale factor of 2 would change the size of the two circle and as such making them incongruent.
In conclusion, a dilation with a scale factor of 1, reflection and rotation can be used to congruency in two circles.
Read more on dilation here: brainly.com/question/20482938
#SPJ1
How many minutes is 65% of 3 hours? ____ just write the number part of the answer.
Answers
Answer:
117
Step-by-step explanation:
There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.
3 x 60 = 180
To find 65% of 180 you can use the equation
65 x 180/100
65 x 180 divided by 100 is 117.
HELP PLEASE PLEASE I WILL GIVE BRAINLIEST
Answers
In the top the "f(x)" equals 9, now they are asking you to add onto the 9 by 1 causing it to be 10. If you did the first few you would have noticed that it takes 9 in order to get to 5 from -4.
here are the answers btw:
When a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When
Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step
than the bacterium's step?
Joe's step is[ ] x 10^[ ]
times larger than the bacterium's step
Answers
Answer:
Step-by-step explanation:
0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6
Which of the lines below has a negative slope?
A
B
6
-5
15
6
10
5
D
5
5
Answers
Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY
Answers
Step-by-step explanation:
[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0[/tex]
blank divided 2/3 = 9/10
Answers
Answer:3/5
Hope this help :)
Find n(E), given that n(C×E)=18 and C={4,5,6}
Answers
Answer:
ncx(2.718282)=18;c=456
ncx(2.718282)=18;c=456
PLEASE HELP‼️‼️
A
B
C
D
Answers
Answer:
C i think
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
use the side splitter theorem
6/12 = x/18 (replacing AQ with x)
12x = 108 (cross multiply)
x = 9
Solve: 0=-x2+2x+8
[tex]0=-x2+2x+8[/tex]
Answers
Answer:
x = 4
x = -2
Step-by-step explanation: