For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answers
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
Related Questions
Solve the following equations | 3x + 3/7 | = 2 1/3
Answers
Answer:
X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]
Step-by-step explanation:
Solve:
7 (x -3)
What is the answer
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Answer:
7x-21
Step-by-step explanation:
7x -7 x 3
7x - 21
Which ordered pairs match the graph?
(0, 0), (2, 2), (2, 3), (2, 4), (3, 3.5)
(0, 0), (0, 2.5), (2, 2), (2, 3), (2, 4)
(0, 0), (1, 1), (2, 2), (3.5, 4), (2, 0)
(0, 0), (1, 3.5), (2, 3), (2, 2), (3, 2)
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We can't see the graph i can help if you insert it
Step-by-step explanation:
please help me with this one :(
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Answer:
I can assure you, that this is not that hard. but. I will help you with one of them.
Step-by-step explanation:
audience-look it up in the dictionary
it's basically a crowd of people.
sebtence- I listened to the audio of the audio book.
A company that makes hair care products had 9,000 people try a new shampoo. Of the 9,000 people,
18 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answers
Answer:
0.2%
Step-by-step explanation:
18/9000×100%
now use calculator
Answer: 0.2 percent
Step-by-step explanation:
This is the number of people who were allergic to the shampoo/ total people
18/9000
Simplify!
1/500=0.02=0.2 percent of people
How many solutions does this equation have?
-3n = -4n + 7
Answers
Answer:
just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7
Answer:
2
Step-by-step explanation:
my soulstinos were Solution 1)
3
n
+
7
=
−
1
3
n
+
7
−
7
=
−
1
−
7
3
n
+
0
=
−
8
3
n
=
−
8
3
n
3
=
−
8
3
3
n
3
=
−
8
3
n
=
−
8
3
Solution 2)
3
n
+
7
=
1
3
n
+
7
−
7
=
1
−
7
3
n
+
0
=
−
6
3
n
=
−
6
3
n
3
=
−
6
3
3
n
3
=
−
2
n
=
−
2
The solution is:
n
=
−
8
3
and
n
=
−
2
Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
Answers
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answers
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?
Answers
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
Answer:
2 1/6 hours longer
Step-by-step explanation:
Hope the helps!
Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?
Answers
the “/“ sign means division, what kind of question even is this.
9/5= 9÷5
19/28=19÷28
So for the last one, we can turn it into an improper fraction which is:
8/5 = 8÷5
HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!
Answers
Answer:
Your answer is going to be 34/7.
Step-by-step explanation:
In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.
59/7-19/7
40/7+22/7
64/7-30/7
34/7
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Indentify the interval on which the function is increasing.
Answers
The line is going up from left to right between 0 and 3 on the x-axis. We use a closed bracket because it is a open circle.
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Answer:
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Step-by-step explanation: mark as brainest plsssssssssssssss
Find the slope of the line graphed below.
Answers
Answer:
-3/2 I believe is the answer,
Step-by-step explanation:
Notice that the (left to right) line is going down, indicating it is negative.
Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong
What is the quotient of 4/5 divided by 17/9
Answers
Answer:
0.42352941176
Step-by-step explanation:
hope this helps
The value of quotient will be 0.42.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
''4/5 divided by 17/9''
Now,
Since, The expression is,
''4/5 divided by 17/9''
Hence, After solving we get;
⇒ 4/5 ÷ 17/9
⇒ 4/5 × 9/17
⇒ 36/85
⇒ 0.42
Thus, The value of quotient = 0.42
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brainly.com/question/844312
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-4x+5y-3-11x-y
Does -3 have a like term?
Answers
Answer:
nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎
Y’all know this anything about this?
Answers
We are given:
Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10To Find: ∠E
Concept Used:
Adjacent angles of a Parallelogram are SupplementaryFinding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
5.6 x 10 __= 5,600
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Answer:
its 10^3 power or 1000
Step-by-step explanation:
which transformation is shown here?
Answers
It is a Rotation.
What is the sum of 2x-5y+x+y
Answers
Answer:
3x - 4y
Step-by-step explanation:
2x + -5y + x + y
Group Like terms:
2x + x + -5y + y
2x + x = 3x
-5y + y = -4y
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Ms. Jackson emptied 16 boxes of crayons into a classroom crayon bucket in each box 2/9 The crayons were green how many crayon boxes could she filled with all the green crayons?
Answers
Answer:
2 boxes
Step-by-step explanation:
do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes
8 gallons equals how many pints?
Answers
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
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Which calculation and answer show how to convert 11/25 to a decimal?
Answers
Answer:
this is the answer
Step-by-step explanation:
1125=11×425×4=44100=0.44
Perform the following operation
and express the answer in
scientific notation.
4.0x105 x 3.0x103
[ ? ]x10!?)
Answers
Answer:
Step-by-step explanation:
first step, multiply 4 and 3
4x3=12 , we write is 1.2x10
10^5 x10^3=10^8
4 x10^5 x 3 x 10^3= 1.2x10^9
The required answer is 1.20 x 10⁹ in scientific notation.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:
= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)
= 12.0 x 10⁵⁺³
= 12.0 x 10⁸
However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:
12.0 x 10⁸ = 1.20 x 10⁹
Therefore, the answer is 1.20 x 10⁹ in scientific notation.
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Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?
He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.
Answers
Answer:
D
Step-by-step explanation:
that is 100-81
=19
meaning the paint shall be enough
good monke good monke dog
Answers
Answer:
very inspirational thanks
Step-by-step explanation:
Answer:
monke
Step-by-step explanation:
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Answer:
1
Step-by-step explanation:
in an equilateral triangle all the sides are equal
Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?
Answers
Answer:
6.37 cm
Step-by-step explanation:
Which equation represents the line that is parallel to y=3 and passes through (-2,-8)?
А.x=-2
B. x=3
C. y=-8
D. y= 3x - 2
Answers
Step-by-step explanation:
y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.
Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)
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