ABCD is a trapezium
AD=10cm
AB=9cm
DC=3cm
Angle ABC=angled BCD=90degrees
Calculate the length of AC
Give your answer correct to 3 significant figures
Answers
Answer:
12.0 cm
Step-by-step explanation:
✔️First, find the height, BC, of the trapezium using Pythagorean Theorem.
BC² = 10² - (9 -3)²
BC² = 10² - 6²
BC² = 64
BC = √64
BC = 8 cm
✔️Find AC using Pythagorean Theorem:
AC² = AB² + BC²
AC² = 9² + 8²
AC² = 145
AC = √145
AC = 12.0415946 ≈ 12.0 (3 significant figures)
Related Questions
Please look at the picture below to answer.
Answers
Answer:
x=67
Step-by-step explanation:
subtract 90 because those are right angles from 23 and you get 67
Please Help ASAP I’m confused
Answers
Answer: Option 1 & Option 4
Step-by-step explanation:
The triangle is scalene because it doesn't have a right angle (can't be right)
Doesn't have 2 congruent angles (can't be isosceles)
The triangle is also obtuse because it has an angle that is greater than 90°
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1 15/8+ 1 10/8=
help me
Answers
Answer:
5 1/8
Step-by-step explanation:
1 [tex]\frac{15}{8}[/tex]
+ 1 [tex]\frac{10}{8}[/tex]
2 [tex]\frac{25}{8}[/tex] = 2 + 3 [tex]\frac{1}{8}[/tex] = 5 1/8
V70
Estimate the square root of the number below to the nearest tenth
Answers
What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?
Answers
9514 1404 393
Answer:
y = 3
Step-by-step explanation:
The slope formula can be used to find the slope of the parallel line.
m = (y2 -y1)/(x2 -x1)
m = (1 -1)/(7-(-2)) = 0
The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.
y = 3
_____
If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...
y = 0x +3
It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.
Find the area of this composite figure.
Answers
Answer: 242 in²
All the work is shown in the picture.
You are tired at the end of the term and decide to borrow $500 to go on a trip to Whatever Land. You go to the bank and borrow the money at an annual rate of 11% for 6 months. Find the interest you will pay on the loan.
Answers
Answer:
$27.5
Step-by-step explanation:
P =$500, R = 11 pcpa, T = 6 months = 1/2 years
[tex]I = \frac{PRT}{100} = \frac{500 \times 11 \times \frac{1}{2} }{100} \\ \\ = 5 \times 11 \times \frac{1}{2} \\ \\ = 55 \times \frac{1}{2} \\ \\ I= \$ 27.5[/tex]
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?
Answers
Answer: 9 feet below the surface.
Step-by-step explanation:
The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:
Position = -40ft
Where the negative sign is because it is below the surface of the water, so
"He swam up 12 feet to see a unique fish."
Now we need to add 12ft
Then his new position is:
Position = -40ft + 12 ft = -28ft
"He followed the fish down 8 feet.
Now we need to subtract 8ft
His new position is:
Position = -28ft - 8 ft = -36 ft
"Then he followed the fish up 27 feet."
Now we add another 27 ft.
The final position will be:
Position = -36ft + 27ft = -9ft
Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.
HELP!!!!! Algebra II Help needed
Find a formula for the nth term of the arithmetic sequence.
First Term -2
Common Difference 8
Gotten this far:
an=8n+?
Thank you!!!
Answers
Answer:
[tex]a_{n} = 8n - 10[/tex]
Step-by-step explanation:
[tex]a_{n} = a_{1} + (n - 1)d[/tex] is the formula you want to use
[tex]a_{n} = -2 + (n - 1)8[/tex]
= -2 + 8n - 8
= 8n - 10
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft
Answers
Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
The horizontal distance that the ramp will take up is a) 22.9 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.
∴ The horizontal or adjacent distance can be obtained by tan(theta).
Assuming horizontal distance to be x feet.
∴ tan(5°) = 2/x feet.
x = 2/tan(5°).
x = 22.9 feet.
learn more about trig ratios here :
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Answers
Answer:
y=1/5x+7
Step-by-step explanation:
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Answers
Answer: The answer is B
PLEASE HELP! GIVING POINTS :)!
Answers
Answer:
56 square feet
Step-by-step explanation:
If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.
You end up with one rectangle that is
8x4
and a second thats
4x6.
The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)
Thus
32 + 24 = 56 square feet
Answer:
32 + 24 = 56 square feet
Megan is planning a surprise dinner for her best friend. She has a set budget of $260. The venue charges
a flat fee of $25 for the reservation and they are going to charge her $15 a person. How many people can
Megan invite at most?
Answers
Answer:
15 people at most
Step-by-step explanation:
25+15+15+15+15+15+15+15
+15+15+15+15+15+15+15+15=250
classify point C
A. centroid
B. circumcenter
C. orthocenter
D. incenter
PLS HELP PLS
Answers
what is 3 3/5 + 6 3/10
Answers
Answer:
18/5 or 3 3/5
Step-by-step explanation:
Elliot is riding in a 100-mile bike race to raise money for a charity. So far he has completed 7_10of the race. How far has Elliot biked?
Answers
Answer: He rode 70 miles!!!
Answer:
70 miles
Step-by-step explanation:
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HELP PLS
Juanita has rectangular 3 cards that are 5 inches by 9 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards?
Answers
Answer:
Connect the sides of the cards that are 7 in long.
Step-by-step explanation:
Im working on this rn XD
Have a Nice day :)
please help immediately this is 2 days late
Answers
Answer:
51
Step-by-step explanation:
i don’t understand this
Answers
Answer:
Step-by-step explanation:
You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!
4. Look at the model. Write three equivalent fractions for the shaded part.
(3 pts)
Answers
Answer:
1/2,5/10,4/8
Step-by-step explanation:
half of the box is shaded.
this means that 1/2 is shaded.
also, there are 5/10 boxes shaded.
we can make up another one: 4/8
all of these can be reduced to 1/2.
Perform the following conversion.
123 cm to m
Answers
Answer:
1.23 meters
Step-by-step explanation:
divide it by 100..
123/ 100 = 1.23 m
Answer:
1.23 m
Step-by-step explanation:
divide the length value by 100
Find f(g(3)) given:
*
f (x) = 2x2 – 1
g(x) = 3x
h(x) =
j(x) = x - 5
Answers
Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
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Answers
Answer:
1 and 1/24
Step-by-step explanation:
i did the math and this is what i got
if im wrong im sorry
Will give random brainliest if 10 users comment or answer and put #brainliest
Answers
Answer:
#brainliest
Step-by-step explanation:
tghfue7hbjdj I o
Answer:
HEY
#brainliest
Step-by-step explanation:
Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier
Answers
Answer:
it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff
plz help Consider the figure below.
Simplify answers!
Answers
Answer:
Sin Z = 40/85
Tan G = 75/40
Cos Z = 75/85
Sin M = 1
Step-by-step explanation:
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
Help please and show work
Answers
Use the formula for the circumference which is 2xpiXradius
2x3.1415x7=44 to nearest integer
The diagram below models the diameter of the bicycle wheel
21.75
Which of the following is closest to the distance of the length when the bicycle wheel
makes 1 revolution?
A7 inches
B 25 inches
C34 inches
D69 inches
Can anyone help me!!
Answers
Explanation: one revolution from a wheel will be a 360 degree rotation, meaning that if you had laid your finger on the outside of the wheel as it made its full rotation, your finger would have touched the entire circumference of the wheel. Thus, we can represent the length of 1 revolution as the circumference. Thus we take the diameter, and divide it by 2 to get the radius. Then we simply multiply by 2 * pi * r (r = radius). This is the formula for the circumference of a circle.
