Answers
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )
Related Questions
please I BEG YOU! Find the ordered pair (x,y) if x+y=(5-x)+(5-y), x-y=(x-1)+(y-1).
Answers
Answer:
x=4, y=1
I think its that
Step-by-step explanation:
solve for x.
3x - 8x + 2 = 17
X=
Answers
Answer:
-3
Step-by-step explanation:
3x-8x=17-2
3x-8x=15
-5x=15
-x=15/5
-x=3
x=-3
help me with this please.
Answers
Answer: i know this already is late but ,8 13 18 just adding 5
Step-by-step explanation:
What is the sum of (4s+3)+(2s+1)
Answers
Answer:
Step-by-step explanation:
4s+3+2s+1=6s+4
2x + 7 = 19
X=?
Which one is the answer
Answers
Answer:
x=6
Step-by-step explanation:
first you subtract 7 and 7 and you also have to subtract 7 and 19 and the answer will be 12 then you divide 2 and 2 to make it only x so if you divide 2 and 2 you also have to divide the 12 so 12 divided by 2 equal 6 so the x is equal to 6
7, 3, -1, -5, what is the sequence
Answers
Answer:
-4
Step-by-step explanation:
7-4=3
3-4=-1
-1-4=-5
asdhfj,..kjdsaDzfxhj,jhsaZ
Answers
Answer:
ku hgkjfghdehfv bfd
Step-by-step explanation:
A train travel 20 miles in 15 minutes 40 miles in 30 minutes and 60 miles in 45 minutes which equation represents the speed of the train in miles per hour
Answers
Answer:
y = 80x
Step-by-step explanation:
In 30 minutes the train went 40 ml so in an hr the train would be at 80 ml
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answers
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
What is 6/-1 expressed as an integer?
Answers
Answer:
-6
Step-by-step explanation:
Please help 0.8t+0.6t-t
Answers
Answer:
0.4t
Step-by-step explanation:
1.4t-t=0.4t
Hope this helps :)
Answer:
0.4t
Step-by-step explanation:
0.8t + 0.6t = 1.4t
1.4t-1t=0.4t
PLs HeLP !!!
multiply
(-8) x 11
Answers
Answer:
-88
Step-by-step explanation:
11*8=88 put the negative sign with it and you get -88
Answer:
the answer is -88
Step-by-step explanation:
Hope this helps you so glad that I could help
The height of a house is 39.2 ft, a doll house replica is 2.8 ft. What is the scale
factor?
Answers
5. Adam spent half of his weekly allowance buying lunch. To earn
more money his parents let him shovel snow for $9.30.
What is his weekly allowance if he ended with $15.10?
Answers
Explanation: First, you want to do 15.1 - 9.3 to find what half of his weekly allowance is, and that would be 5.8, AKA $5.80. Next, you want to multiply that number by 2, which would be 5.8(2) to get 11.6, or your final answer, $11.60.
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answers
Answer:
-19,-23,-27
Step-by-step explanation:
When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.
Answer: -19, -23, -27
Step-by-step explanation:
<33
Find the value of x.
Answers
Answer:
-5
Step-by-step explanation:
Distribute 4(x+6) = 4x+6
Since the angle are congruent to eachother set them equal to oneanother
4x+6 = 5x+11
Subtract 4x on both sides.
6 = x+11
Subtract 11 on both sides.
-5 = x
tom goes on hoilday south africa
Answers
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
what is the quotient 5 divided by 30
Answers
Answer: 6
Step-by-step explanation:
30÷5=6
answers for both boxes please
Answers
Answer:
(x,y)=(4,-1)Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
use the quadratic formula to solve for x. 3x^2+9x+4=0
Answers
Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
can you explain this to me
Answers
Answer:
The answer is D. 20%
To amend a country's constitution 7/9 of the 69 states in that country must approve the amendment. If 52 states approve an amendment will the constitution be amended
Answers
Answer:
Constitution will not be amended.
Step-by-step explanation:
To amend the country's constitution, number of states should approve the amendment = [tex]\frac{7}{9}[/tex] of 69
= [tex]\frac{7}{9}\times 69[/tex]
= 53.67
≈ 53 states
But the states who approved the amendment = 52
And 52 < 53
Therefore, constitution will not be amended.
What is the radius of the circle?
Answers
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
If the elevator ascends or GOES UP 80 meters, is
that represented by 80 or -80?
Answers
Answer:
80
Step-by-step explanation:
Which equation has the slope of -2/7 and contains the point (5,-6)?
Answers
Answer:
i would go for B
Step-by-step explanation:
If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?
Answers
Answer:
Step-by-step explanation:
if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but.. we all know that there is always one piece that is bigger and we all want that piece :P b/c pumpkin pie is good
1/8
1/4
1/2
respectively for each of the questions
What is the RANGE of this input/output table???
Answers
Answer:
yes
Step-by-step explanation:
Can someone find "BC" for me plz?
Answers
Answer:
BC = 104
Step-by-step explanation:
By the SAS postulate, ΔBDA and ΔBDC are congruent, meaning that each of the corresponding sides are equal in length.
BD = BD
AD = CD
BA = BC
If we know BA = 21x - 1 and BC = 9x + 59, then we can set them equal to each other and solve for "x".
BA = BC
21x - 1 = 9x + 59
21x = 9x + 60 Added 1 to both sides
12x = 60 Subtracted 9x from both sides
x = 60/12 Divided both sides by 12
x = 5 Reduced fraction, solved for "x"
To find BC, substitute x = 5 into the equation for BC.
BC = 9x + 59
BC = 9(5) + 59 Substituted "x" for 5
BC = 45 + 59 Multiplied 9 and 5
BC = 104 Added, solved for BC
∴ BC = 104
Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $2 per miletowed. Write a function expressing Linda's towing cost, C, in terms of miles towed, x. Find thecost of having a car towed 14 miles.
Answers
The cost of having a car towed 14 miles is $103.
To express Linda's towing cost, C, in terms of miles towed, x, we can use the given information that Little Town Auto charges a flat fee of $75 plus $2 per mile towed.
The function for the towing cost, C, can be written as:
C(x) = 75 + 2x
Where x represents the number of miles towed.
To find the cost of having a car towed 14 miles, we substitute x = 14 into the function:
C(14) = 75 + 2(14)
C(14) = 75 + 28
C(14) = 103
Therefore, the cost of having a car towed 14 miles is $103.
To know more about cost click here :
https://brainly.com/question/31665993
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Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answers
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
