Find the length of the side labeled 2. Round intermediate values to
the nearest tenth. Use the rounded values to calculate the next
value. Round your final answer to the nearest tenth. PLEASE HELP ASAP!
A. 11.6
B. 13
C. 16.6
D. 22.4
Answers
Answer:
B
Step-by-step explanation:
The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6
The value of x in the given question is 16.6
What are trigonometric ratios in a right angle triangle ?A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.
Assuming height of the triangle = y
Sin∅ = opposite/hypotenuse
sin43° = y/39
y= 39sin43°
y = 26.6
From this we will solve the value of x
tan∅ = opposite/adjacent
here adjacent = 26.6 and opposite = x
tan32° = x/26.6
x = 26.6tan32°
x = 16.6
Learn more about Trigonometric ratios here :
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3x^3-4x^2-28x-16 divided by 3x+2
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HELP PLEASE. The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation.
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The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
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Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
How is the key event in this paragraph illustrated?
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regardless 9 hours is a very long time so i would not expect it to be too cheap.
hope this helps
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Divide 120ml into the ratio 3:7
Answers
Answer:
Step-by-step explanation:
sum of ratio=3+7=10
total=120 ml
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Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax
Answers
step by step explanation: 15% means u can multiply it by .85
so .85x25
= $21.25
the next step is to find the tip
to do this you do
$21.25+ (21.25x .2)
final: $25.50
hope this helps
Answer:
$25.50
Step-by-step explanation:
with a 15% off coupon she is paying 85% of the $25 bill, which is:
.85 x 25 = 21.25
if she adds a 20% tip on 21.25 then we can do the following:
1.2 x 21.25 to get the total after the discount and with tax:
$25.50
Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10
Answers
Answer:
the answer is 4
Step-by-step explanation:
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112÷28=4
IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3
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Answer:
3. 314 student and 226 adult
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Step-by-step explanation:
3. First we will take our information and make a system of equations:
[tex]2.4a+1.25s=934.9[/tex]
[tex]a+s=540[/tex]
[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.
From the second equation we can rearange it to be:
[tex]a=540-s[/tex]
Then we can plug in our new value of [tex]a[/tex] to our first equation
[tex]2.4(540-s)+1.25s=934.9[/tex]
[tex]1296-2.4s+1.25s=934.9[/tex]
[tex]1.15s=361.1[/tex]
[tex]s=314[/tex]
We can then find [tex]a[/tex] by plugging in s to our second equation
[tex]a+314=540[/tex]
[tex]a=226[/tex]
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[tex]3x -5(-5x+32)=22[/tex]
[tex]3x+25x-160=22[/tex]
[tex]28x=182[/tex]
[tex]x=6.5[/tex]
Then plug our value of x into the first equation to get:
[tex]3(6.5)-5y=22[/tex]
[tex]19.5-5y=22[/tex]
[tex]5y=-2.5[/tex]
[tex]y=-0.5[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step 2:
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Step 3:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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In the diagram below, TU is parallel to Q R. If
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your answer in simplest radical form, if necessary.
Answers
Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.
Recall:
When two triangles are similar, the ratio of their corresponding side lengths are equal.Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.
Therefore:SR/SU = QR/TU
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Step-by-step explanation:
detailed explanation showed in the diagram above
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Answer:
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Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
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Step-by-step explanation: First, lets clean this expression up.
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Answers
Answer:
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Step-by-step explanation:
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