Answers
Given:
In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]
To find:
The value of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos \theta =\dfrac{BC}{AC}[/tex]
[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]
On cross multiplication, we get
[tex]AC=8.7\times \sqrt{2}[/tex]
[tex]AC=12.30365799[/tex]
[tex]AC\approx 12.304[/tex]
Therefore, the measure of AC is 12.304 m.
Related Questions
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy? *
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A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.
Answers
Answer: increased by 30%
Step-by-step explanation:
40*0.3=12 and 40+12= $52
help me please I need help
Answers
3. Find any three rational numbers between 1/2 and 3/2
Answers
Answer:
[tex] \frac{2}{3} \\ \\ \frac{2}{2} \\ \\ \frac{4}{3} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
Answer:
For example 1/1, 2/3 and 4/3
Step-by-step explanation:
There is a great way to generate rational numbers between other rational numbers using:
[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]
So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.
(1+3)/(2+2) = 1/1, so we got our first rational number.
Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2
(1+1)/(2+1) = 2/3
(1+3)/(1+2) = 4/3
We could also look for a number between 1/2 and 2/3 and find
(1+2)/(2+3) = 3/5
And so on, so forth :)
A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discount off the price.Sales tax of 5% was applied after the disscount.What was the final price of the windchime?Show your work.
Answers
Answer:
30 - 5% (1.5) = 28.5
28.5 + 5% (1.43) = 29.93
The chimes cost $29.93
In ΔJKL, j = 57 cm, k = 12 cm and l=55 cm. Find the measure of ∠L to the nearest degree.
Answers
Answer:
74
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
PLS HELP ASAP 4 BRAINLIEST
Answers
Answer:
The answer is A
Step-by-step explanation:
105+90=5x-70
195+70=5x-70+70
[tex] \frac{265}{5} = \frac{5x}{5} [/tex]
53=x and then when you insert to in the formula 5(53)-70 you get 195
and 105+90 is also equal to 195
Youre welcome!
A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?
Answers
Answer:
$4.8
Step-by-step explanation:
$24×20/100=$4.8
HELP PLEASE OMGGGGGGGGGGGGG
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Answer:
7x-2+5x-10+4x=180°
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Find the area of the circle. Round your answer to the nearest hundredth.
2 cm
Answers
Answer:
12.57 if 2cm is the radius,
3.14 if 2cm is the diameter
Step-by-step explanation:
If the radius 2cm
A = πr^2 = π·2^2 ≈ 12.56
If the diameter 2cm
A= πr^2 = π·1^2 ≈ 3.14
Help me solve this problem please
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Supplementary and linear
A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?
Answers
Answer:
1:24
Step-by-step explanation:
Convert inches to feet, 7.25 inches is 0.604 feet.
0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x
Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!
If x/5 = 4/15, what is the value of x? Please hurry and answer!!! In a test!!!!
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Answer:
x= [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(✿◡‿◡) <-- she helped u on your test, the least you can do is give her brainliest
Which figure can be formed from the net?
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Answer:
the answer is the bottom right one.
Step-by-step explanation: I took the k12 test
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Answer: =−19w+27
Step-by-step explanation:Hope this help :D
HELP ASAP!!!!! A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Which equation results from applying the secant and tangent segment theorem to the figure?
12(a + 12) = 102
10 + 12 = a2
10(a + 10) = 122
10(12) = a2
Answers
Answer:
C)
10(a + 10) = 12 2
Applying the secant-tangent segment theorem, the equation that will result using the figure given is: C. 10(a + 10) = 12².
What is the Secant-tangent Segment Theorem?The secant-tangent segment theorem states that if a tangent and a secant intersect at a point outside a circle, then the square of the measure of the products of the secant segment and its external secant segment equals the square of the measure of the tangent segment.
Thus, using the figure given, the equation that results from applying the secant-tangent segment theorem would be: C. 10(a + 10) = 12²
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What is the square root of -16
Answers
Answer:
The square root of -16 is 4 i
Answer:
You can't but if it was 16, not -16 it will be 4.
Step-by-step explanation:
How do you think statistics may at times not say something? How can a well-designed study be used to carefully say everything that is important about a population? Is it possible to do so?
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Answer:
While statistics are extremely valuable, they are also notorious for being a means that people use to make false and misleading arguments. Also far too often statistics are obtained by taking a sample from a larger group and assuming the whole group has the same characteristics as the sample.
A sample provides a smaller set of the population for review, that delivers data that is useful to represent the whole population. Surveying a smaller sample, as opposed to the entire population, can save precious time for researchers and offer urgent data.
Step-by-step explanation:
Hope it is helpful.....
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MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:
Expand "6y" in algebra
Answers
Answer:
6 x y
Step-by-step explanation:
Expanded
Or add y 6 times
y + y + y + y + y + y
Answer:
Step-by-step explanation:
y + y + y + y + y + y
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Factor 21x^2 - 37x + 12
Answers
Can you guys help me
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Answer: the top is 4 and the | is 4 too. The other __ is 8 because 12 - 4 is 8. And the final | is 4 because it’s 8/2
Step-by-step explanation:
.Peter has 288 coins. 25% of these coins are $1 coins. He wants to increase tt
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If pears cost $0.65, how many pears could you buy if you have $5.20 to spend? Write the equation you would use to answer the question. also, how was you alls day?
Answers
Answer:
0.65x = 5.20, 8 pears
Step-by-step explanation:
We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!
0.65x = 5.20
x = 8
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Hope that helps, let me know if you need more help or have questions! :)
please help me, i'll mark you brainiest
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Answers
Answer: 4! 300:75 Hope you have a great day! Good luck on any stressful school homework stuff you have today too!
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300/75
The number above the bar is the numerator: 300
The number below the bar is the denominator: 75
Divide the numerator by the denominator to get fraction's value:
300/75 =
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1/2s+3/4s+1/4s+4 equals?
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step1) Combine multiplied terms into a single fraction
step 2)Multiply by 1
step 3)Combine multiplied terms into a single fraction
step4) Combine multiplied terms into a single fraction
step5) Multiply by 1
which of the given lengths make a right triangle?
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C: 3.05, 4.05, 7.10
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Answer:
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Answer:
C
Step-by-step explanation:
I haven't done this math in years but from what I remember this should be the correct answer.
B. is the correct option to choose.
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According to the given question we have to solve the given inequality and represent it in form of a number line with appropriate symbols.
Given,
-2(3x - 1) < 8.
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x > -1. ( Think of moving the terms to the other side to make x positive )
This will be represented in a number line with open circle staring from -1 to positive infinity.
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Solve
b/5 - 37 < -44
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Answer:
Step-by-step explanation
B<-35
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youre welcome !!
Answer:
(0,1) and (1,4)
Step-by-step explanation: