Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B
ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57
Answers
Answer:
8.86 cm
Step-by-step explanation:
The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90° (right angle). Therefore using sine rule:
[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]
x = AB = 8.86 cm
Related Questions
A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?
Answers
Answer:
15 feet
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b represents the legs of the triangle
c represents the hypotenuse (which is the chain)
Answer: 15ft chain length
Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom
12^2+9^2=c^2
225=c^2
15=c
A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.
This is what the table says:
Vowels Consonants
18 32
Answers
Answer:
38
Step-by-step explanation:
thats the answer
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answers
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answers
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
What number is 40% of 160?
Try to explain
Answers
Answer: 64
Step-by-step explanation:
40% of 160
40/100 x 160
6400/100
64
Did I explain this well?
Answer: 64
Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.
Is (2,5) a solution to this system of equations?
3x + 2y = 16
x + 14y = 13
yes
no
Answers
No
Explanation:
assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20
Answers
Answer:
8267
Step-by-step explanation
Which table represents the statement a draft friends at a rate of 32 mph
Answers
Answer:
A.
Step-by-step explanation:
Answer: it is the first choice
Simplify the exponential expression 48 Superscript one-half.
2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)
Answers
Answer:
the answer is C here you go for anyone needing it
Step-by-step explanation:
Answer:
The answer is C. (2)
Step-by-step explanation:
write an equivalent expression for 8x + 9
Answers
Answer:
8+8+8+8+8+8+8+8+8.
Step-by-step explanation:
Just add 8 nine times.
Answer:
9 + 8x
Step-by-step explanation:
it's the same but backwards
it's called a Palindrome
Hope this helped a little!
please help quick time
Answers
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
Consider the inequality x> 7.
Answers
Answer:
x is greater than 7, so x can be 8 or more.
Answer:
if x is greater than seven it would be 8 or more can't be 7 because its not >
Step-by-step explanation:
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Answers
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”
Answers
Answer:
9 feet away
Step-by-step explanation:
40²+b²=41²
1600+b²=1681
b²=81
b=9
The base of the flagpole from the end of the rope is 9 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Hypotenuse = 41 foot
Base = x
Height = 40 foot
Applying the Pythagorean theorem.
41² = x² + 40²
1681 = x² + 1600
x² = 1681 - 1600
x² = 81
x = 9
Thus,
The base of the flagpole from the end of the rope is 9 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
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Answers
Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
BRAINLEST answer !!
Find the value of y
Answers
Answer:
6 it's the same as the one next to a and b that's also 6
-6k+7k
So I'm not sure that it's k because I need to simplify? Can someone help me
Answers
Answer:
k
Step-by-step explanation:
its just k, since 1k can be simplified to just k
Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1
Answers
Answer:
Any number powered to zero, the answer to the equation will be 1
At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.
Answers
Answer:
$8.98
Step-by-step explanation:
3.59+3.59+1.80
I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction
Answers
Answer:
Acceleration equals zero because of constant velocity
[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]
coefficient
Fr = coefficient × r
60.62= ce ×100
0.60 = coefficient
Which graph represents a function
Answers
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
Triangle MNO is an equilateral triangle with sides
measuring 16/3 units.
What is the height of the triangle?
Answers
Answer:
24
Step-by-step explanation:
Write the equation of the line using slope-intercept form
with the following information:
( 1,9) and (2,3)
Answers
Answer:
its 1290 ans there is the awer
Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices
F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.
G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..
H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.
J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..
Answers
Answer:
H: It will stretch the same spring 1,840 cm because the equation is y equals 5x.
Step-by-step explanation:
800=y
160and368=x
You find the answer by dividing,
⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈800 divided by 160 equals 5 which means the equation is y equals 5x
and 368x5=1,840
also, do you go to college park?
what is this? answer quickly please
Answers
Answer: t= 11.5
Step-by-step explanation: 5 + (-11.5+3) = 3.5
Answer:
T = -3.7
Step-by-step explanation:
We begin with the given equation.
5(t+3)=-3.5
Distribute 5 throughout parentheses.
5t + 15 = -3.5
Move 15 to the other side and switch signs.
5t = -3.5 - 15
Combine like terms.
5t = -18.5
Divide by 5t.
t = -3.7
construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as shown in the diagram below.
based on the information in the diagram which value represents the total length of the cable that is needed to secure the pole?
Answers
Answer:(24+12\3)m
Step-by-step explanation:
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answers
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
What is c? 1/3c = 3/8;c=3/4
Answers
Answer:16
Step-by-step explanation:
U just mu
Plz help and I will give brainliest
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
If you put anything random as the answer I WILL report
Answers
Answer:
200 dollars
Step-by-step explanation:
Answer:
$200.
Step-by-step explanation:
$200 because if they save $120 then $80, $200.
(120+80=200.)
Hope this helps plz hit the crown :D
sorrry for not answering earlier
need a correct answer please
Answers
Answer:
102°
Step-by-step explanation:
∠PQR = ∠PQS + ∠SQR
12x - 6 = 16 + 9x + 17
3x = 27
x = 9
∠PQR = 102°