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
Help please do it now
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which one is it? please help :)
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Answer:
D
Step-by-step explanation:
Calculator
Answer:
I think your answer is correct but i could be wrong
Step-by-step explanation:
(I am probably wrong) Have a good night tho :)
Lisa types 56 words per minute. How many words can she type per second?
Answers
Answer:
1.07 for hundredths or 1.071 for thousandths
Step-by-step explanation:
60 ÷ 56
Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and
considering two different options on how to manage your money. Option A: You take all of your $1500 and
deposit it into a savings account that has a 5% interest rate per year. Option B: You spend $500 on a new
Apple Watch and deposit the remaining $1000 in a savings account that has a 5.5% interest rate per year.
.
Which account would have the most in 10 years? 20 years? Mathematically, explain your reasoning.
Which option would you choose and why?
.
Answers
Answer:
B
Step-by-step explanation:
if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.
Answer:
OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"
Step-by-step explanation:
In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)
hence the applicable formula is:
A = P(1+rt), where
A = final amount after t years
P = Principal (beginning) amount ($1500 for option A and $1000 for option B)
r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)
t = time (we are asked to evaluate t = 10 years and t = 20 years)
For option A :
P = $1500 and r = 5% = 0.05
A = P(1+rt)
A = 1500 [ 1 + (0.05)t]
at 10 years: A = 1500 [ 1 + (0.05)(10)] = $2,250
at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000
For option B :
P = $1000 and r = 5.5% = 0.055
A = P(1+rt)
A = 1000 [ 1 + (0.055)t]
at 10 years: A = 1000 [ 1 + (0.055)(10)] = $1,550
at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100
Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answers
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
The speed of a car in mph varies directly with the speed of a car in kph. The speed of 75
mph is equivalent to 120 kph. How many kph is 45 mph?
please help asap !
Answers
Answer:
72.42 kilometers per hour
PLEASE HELP ANSWER THIS ASAP!!! :)
Answers
Answer:
C, 42 degrees
Step-by-step explanation:
Considering angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.
Please help it's due today. Also please don't help if you don't know.
Answers
w = 24
work=
1000⁸=10w
write the expression in exponential form with the base of 10
10²⁴=10w
since the bases are the same, set the exponents equal
w=24
Find the missing y-value that makes the table represent a linear function.
x. 3 6 9
y -1.5 ? 0.3
Answers
Step-by-step explanation:
iydgfiukduylyiyiucouogjuocjgcout ont fp iyfpiyd off
anyone know how to do B?.
Answers
Answer:
yea i knownhow
Step-by-step explanation:
no i dont jus getton free points
Find the value of x.
140°
40°
2x
O A. 50
O B. 70
O C. 20
O D. 90
Please help
Answers
Answer:
140/90
Step-by-step explanation:
:>
Answer: A. 50
Step-by-step explanation:
Which lines in the diagram must be parallel?
(not drawn to scale)
514
1337
47°
q
S
Answers
Answer
47
Step-by-step explanation:
The slope of this line is 8 and it goes through the point (-4, 4)
What is the Equation of the Line?
pls i really need help
Answers
Answer:
y = 8x + 36
Step-by-step explanation:
(y-4) / (x - -4) = 8
y - 4 = 8x + 32
y = 8x + 36
A 2-gallon bucket of paint costs $58.24. What is the price per cup?
Hehe pleaseee .
Answers
Answer:
$1.82 per cup
Step-by-step explanation:
REMEMBER:16cups per gallon
2 x 16 = 32
58.24 divided by 32 = 1.82
1 pts
Molly and her friends had a large sausage pizza for dinner. Molly cut it into 12 pieces. She ate one
piece and gave Karen and Carol 2 pieces each. What is the fraction of the pizza that is left?
2/19
Answers
Answer:
7/12
Step-by-step explanation:
A bagel shop sold 81 of their 108 bagels on Monday what is the percent of the bagels that were sold Monday?
Answers
Answer:75%
Step-by-step explanation: I asked Siri and she said it was 75% lol your welcome
It should be 27 bagels correct me if I'm wrong but I hope I helped
Find the quotient-3.6 ÷ .06
Answers
answer: 60
Source: calculator
Can anyone help me with these 3 please !
I’ll mark you as a brainliest.
Answers
Answer:
72
270
600,000
I wasn't sure what this question means, but I did the math??
like are supposed to switch around the numbers..? haha...
Answer:
1. 72
2. 270
3. 600,000
hope this helps!!
Step-by-step explanation:
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answers
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
A certain laundry detergent recommends \frac{1}{4}
a cup of detergent for a \frac{1}{2}
a load of clothes. How much detergent is recommended for 4 loads of clothes? in a table
Answers
Answer:
2
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] a cup detergent for [tex]\frac{1}{2}[/tex] a load of clothes would mean for each full load, it would take [tex]\frac{1}{2}[/tex] a cup of detergent.
Thus if you have 4 load of clothes, which is 8 half loads. You can take that 8 half loads and multiply [tex]\frac{1}{4}[/tex] by 8. This gives you 2 cups of detergent.
1. How would you simplify and solve this equation? What steps would you use? *
y - 3(2y - 7) = 76
Answers
Answer:
9 ..... .................
URGENT please solve number 12 it’s due at 11:59 tonight thanks
Answers
Answer:
A
Step-by-step explanation:
x=3y+6
A line has a slope of 10 and passes through the point (0,6) what is its equation slope-intercept form ?
Answers
Answer:
y=10x+6
Step-by-step explanation:
x > -2
A number line going from negative 2 to positive 2.
Check all that are solutions of the inequality.
A. -2
B. 0
C. -3.75
D. 4 and two-fifths
E. 1.999
F. 347,595
Answers
Answer:
B, E
Step-by-step explanation:
0 and 1.999 are greater than -2 yet within the number line
Answer:
0
4 and two-fifths
1.999
347,595
Step-by-step explanation:
Got it right.
Hope this helps!!!
Nathan usually drinks 33 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.
The percent increase is /
%.
Answers
Answer:
Step-by-step explanation:
i don't know just want points
Help I need this now
Answers
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158. During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804. How much are they charging for the different sized gift baskets?
Answers
Answer:
The cost of
Regular baskets = x = $20
Deluxe baskets = y = $42
Step-by-step explanation:
The drama club is selling gift baskets to raise money for new costumes.
Let us represent:
The cost of
Regular baskets = x
Deluxe baskets = y
During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.
Hence:
18x + 19y = 1158....... Equation 1
During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.
15x + 12y = 804...... Equation 2
Combining them two Equations
18x + 19y = 1158....... Equation 1
15x + 12y = 804...... Equation 2
Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x
270x + 285y = 17370..... Equation 3
270x + 216y = 14472...... Equation 4
We Subtract Equation 4 from Equation 3.
69y = 2898
y = 2898/69
y = $42
Solving for x
18x + 19y = 1158....... Equation 1
18x + 19 × 42 = 1158
18x + 798 = 1158
18x = 1158 - 798
18x = 360
x = 360/18
x = $20
Therefore,
The cost of
Regular baskets = x = $20
Deluxe baskets = y = $42
The standered charge per customer at TTF is $25. Write an equation that relates the daily income I to the number n of customers
Answers
Answer:
25n=I
Step-by-step explanation:
Because 25 dollars per customer, (so multiply) = the daily income.
A parking lot has 264 automobiles, 66 of which are silver. Which is the percent of cars in the lot that are silver?
Answers
Someone please help with this asap!! I will mark brainliest if it's right! Serious answers only !!!
Answers
Answer:
1) given
2) given
3) definition of vertical angles
4) AAS
Step-by-step explanation:
1) given
2) given
3) definition of vertical angles
4) AAS
is the answer to the question