Answers
Part (a)
Answer: 12.1-----------------------
Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
===================================================
Part (b)
Answer: 15.1-----------------------
Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.
[tex]C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\[/tex]
[tex]d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\[/tex]
Segment CD is roughly 15.1 cm long.
a) The length of BD to 1 decimal place is 12.1
b) The length of CD to 1 decimal place is 15.1
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Given ABCD is a trapezium AD and BC are parallel
we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
xsin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1 degree
Let xy coordinate grid. Place point A at the origin (0,0).
Point B is 10 units above this, B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0).
The 6.745085 solving tan(56) = 10/x for x.
Apply the distance formula for the points C and D.
D = √(18 - 6.745085)² + (10 -0)²
D = 15.1
Thus Segment CD is roughly 15.1 cm long.
Learn more about quadrilateral;
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Related Questions
Explain how the product of 3 and 65 could be used to find 0.03 x 0.65
Answers
Answer:
because u just do 3 x 65 then you divide by 10 two times
Step-by-step explanation:
A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.
Answers
Answer:
25km/hr (take the word train as bus )
Step-by-step explanation:
Answer
Let x km/hr be the constant speed of the train,
Then Time taken to cover 300km=
x
300
hrs
Time taken to cover 300km when the speed is increased by 5km/hr=
x+5
300
hours
It is given that the time to cover 300km is reduced by 2 hours
∴
x
300
−
x+5
300
=2
⇒
x(x+5)
300(x+5)−300x
=2⇒2x
2
+10x=1500
⇒x
2
+5x−750=0⇒x
2
+30x−25x−750=0
⇒(x+30)(x−25)=0⇒x=25orx=−30
But x cannot be negative. Therefore x=25
Hence, the original speed of the train is 25km/hr
Help meeeeeee pleaseeeee
Answers
Answer:
a
Step-by-step explanation:
Subtract (4x2 - x + 6) from (3x2 + 5x - 8).
A. O 7x2 + 6x - 14
B. 7x2 + 4x - 2
C.x2 - 6x + 14
D. -x2 + 6x - 14
Answers
Answer:
[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]
Hence, option D is correct.
Step-by-step explanation:
We have to subtract (4x² - x + 6) from (3x² + 5x - 8).
so
[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)[/tex]
Remove parentheses: [tex]\left(a\right)=a[/tex]
[tex]=3x^2+5x-8-\left(4x^2-x+6\right)[/tex]
[tex]=3x^2+5x-8-4x^2+x-6[/tex]
Group like terms
[tex]=3x^2-4x^2+5x+x-8-6[/tex]
Add similar elements: [tex]\:3x^2-4x^2=-x^2[/tex]
[tex]=-x^2+5x+x-8-6[/tex]
Add similar elements: [tex]5x+x=6x[/tex]
[tex]=-x^2+6x-8-6[/tex]
Subtract the numbers: [tex]-8-6=-14[/tex]
[tex]=-x^2+6x-14[/tex]
Therefore,
[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]
Hence, option D is correct.
Find the missing sides.
(Help me)
Answers
Answer:
2nd one
Step-by-step explanation:
when it's a 45 45 and 90 triangle, it's 1, 1, sqrt 2, but now since the 1 is sqrt 2, v is sqrt 2, and u and sqrt 2 times sqrt 2, which is 2
Solve the equation,
9b + 15 = 4b = 10
Answers
Answer:
b=-1
Step-by-step explanation:
First step to any algebraic equation is to combine like-terms. This would mean that we would have to subtract 4b from both sides, I'm assuming its supposed to be plus ten and you just typed it wrong but, we get 5b+15=10 here we subtract 15 from both sides and get 5b=-5. Now we isolate the variable b, getting b=-1.
HELLPPPP NEEEEEDDDEEEEDD
Thank you very much!
Answers
Answer:
Answer C
Step-by-step explanation:
If f(x) = x - 4, find f(10)
Answers
Answer:
f(10) = 6
Step-by-step explanation:
To evaluate f(10), substitute x = 10 into f(x), that is
f(10) = 10 - 4 = 6
in 20 seconds a rollercoaster goes up a 100-meter hill then down 72 meters and back up a 48-meter rise how much higher or lower from the start of the ride is the coaster after 20 seconds?
Answers
PLEASE HELP I WILL MARK BRAINLEIST IDC
how would you put -4.9+7.5t-0.3=0 in a quadratic formula or how would you write it as a quadratic formula
Answers
Answer:
You would have to mulitiply the reciprical by the 7.5t^3 by the other 3 terms
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
On Sunday, Chris bought 5% of the cans from his grocery store in preparation for hurricane Sandy. If he bought 61 cans, how many cans did his grocery store have originally?
Answers
Answer:
1220 cansStep-by-step explanation:
Let the number of cans be x
5% of x is 61, solve the equation below for x:
x*0.05 = 61x = 61/0.05x = 1220 cansSierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra’s profit if the shop was closed for 6 hours?
Answers
Answer:
Sierra's profit was $41.
Step-by-step explanation:
Sierra realized she lost two-third of a dollar each hour when the shop was closed.
The expression that models this situation is, ............. (1)
Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.
So, putting h = 6 hours in the equation (1) we get,
dollars.
So, Sierra's profit was $41. (Answer)
Step-by-step explanation:
Answer:
$41 is your answer (~UnU)~
Step-by-step explanation:
Have a great day!
What is the equation of the graphed line written in
standard form?
x= -3
y= -3
x + y= -3
x-y= -3
Answers
Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.
Step-by-step explanation:
help me on 6 and plz tell me what to do.
Answers
Answer:
10560 feet
Step-by-step explanation:
helpppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
3/8 if you change 1/4 to 8ths you get 2/8. so if you add 1 3/8 + 2/8 you get 1 5/8 so you only need 3/8 to get to 2 quarts.
A toy car is 3 inches long. An actual size car is 180 inches long. What is the percent increase from the toy car to actual size car?
Answers
Answer:
600%
Step-by-step explanation:
Answer:
6000% is the percent increase from the toy car to the actual size car.
Step-by-step explanation:
Mark me brainliest? :D
Count to find the slope.
Answers
Answer:
The slope is 6/7 or -7/6.
Step-by-step explanation:
You could go from the lower dot and count to the line of the upper dot and then go to the right until you hit the dot or you would start at the upper dot and count down to the line of the lower dot and go to the left until you hit the dot.
simplify the expression: -3b - 3b
Answers
Answer:
Step-by-step explanation:
-3b - 3b= (-3b)+(-3b)= -6b
Answer:
the answer is: -6b
Step-by-step explanation:
you would subtract 3b from -3b making it -6b
In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is
Answers
Answer:
[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]
Thus
sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )
= [tex]\frac{c}{a}[/tex]
---------------------------------------------------------------------------
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]
Thus
sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )
= [tex]\frac{b}{a}[/tex]
What is 5 and 2/3 equivalent to
Answers
Answer:
17/3
Step-by-step explanation:
Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells a 1-pound box of crackers for $4.68. The unit price at Price-Club is $ per ounce, and the unit price at Shop Mart is $ per ounce.
Answers
Answer:
$0.216 and $0.293
Step-by-step explanation:
Given,
Price club sells 12 ounce box = $2.59
Shop mart sells a 1 pound box = $ 4.68.
We have to find the unit price at Price club and Shop mart.
We know that 1 Pound = 16 ounce
Unit price at Price-club = [tex]\dfrac{2.59}{12}[/tex]
= $0.216
Unit price at Shop Mart= [tex]\dfrac{4.68}{16}[/tex]
= $0.293
because I got this question too. On odysse.yware.
Answer:
0.21 and 0.19
Step-by-step explanation:
It's simple, just divide it.
Divide 2.59 by 12 and divide 4.68. Then round the answers to the closest number in the choices. That's your answer buddy!
Increase £19028.42 by 19.5%
Give your answer rounded to 2 DP.
Answers
Answer:
22738.96
Step-by-step explanation:
119.5% x 19028.42=
22738.9619
now rounded to 2 d.p is 22738.96
Lily buys some of her clothes from the mall. If 100% of her shirts are from the mall and she owns 86 shirts, how many of Lily's shirts are from the mall?
Answers
Answer:
the answer is 86
Step-by-step explanation:
the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86
Solve for X for A and B
Answers
Answer:
A. x = 3B. x = 3Step-by-step explanation:
Question A
Using the proportions of similar triangles:
(7x + 4 + 15)/(12 + 20) = 15/12(7x + 19)/32 = 5/47x + 19 = 407x = 21x = 3Question B
(6x - 3)/(6 + 4) = (6x - 3 - 6)/63(2x - 1)/10 = 3(2x - 3)/66(2x - 1) = 10(2x - 3)3(2x - 1) = 5(2x - 3)6x - 3 = 10x - 1510x - 6x = 15 - 34x = 12x = 3The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 total dogs in the show, how many large dogs are in the show? Show your work by using a tape diagram.
Answers
Answer:
there are 24 large dogs
Step-by-step explanation:
add the ratio 3 plus 4
for large dogs you have 3/7×56
URGENT!! The partial results of a movie survey are represented in the two-way frequency table below. Complete the two-way frequency table.
Answers
Answer:
in male 2nd column fill 33. In female 1st column fill 29 and in 3rd one fill 50. In total 2nd column fill 54
Complete the equation to show how many thirds are equivalent to
8/12 = ?/3
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Explanation:
What we need to do is to convert [tex]\frac{8}{12}[/tex] into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.
We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of [tex]\frac{8}{12}[/tex] - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.
So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is [tex]\frac{2}{3}[/tex].
Forever 21 has a student discount of 7%. The total for your items is $24 what is your total after the discount?
Answers
Answer:
the answer is $22.32
Step-by-step explanation:
Answer:
$22.32
Step-by-step explanation:
A student incorrectly solved an exponential equation looking at the work shown, what mistake did the student make
Answers
Answer:
i have made it in pic above
What are the coordinates of point A?
(–2, –6)
(–6, –2)
(–6, –3)
(–3, –6)
Answers
Answer:
Choice (-3, -6)
Step-by-step explanation:
Count from the x axis first then the y axis.
Point A moved 3 units to the left, then moved 6 units down.
Answer:
(-3,-6)
Step-by-step explanation:
the definitely correct