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
(7th grade math question)
Sales of the Xbox One increased from 10,000 to 18,500 in November. What was the percent increase?
A) 8.5%
B) 45.9%
C) 85%
D) 85.8%
please answer soon
Answers
Answer:
C) 85%
Step-by-step explanation:
i hope this is right ^w^
Dane needs to cut 4 strips of border for his rectangular project board. The project board has a length of 12 1/2 inches and a width of 6 1/4 inches. How much border will Dane have left if the border comes in a 60-inch roll?
Answers
Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same length as the sides of the hexagon, on each side of the hexagon as shown. One of the equilateral triangles is shaded. The shaded area is what fractional part of the entire area of the 6-pointed star? Express the answer as a fraction in simplest form.
Answers
Answer:
1/12
Step-by-step explanation:
Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.
a. What is the largest number of kits the nurse can make?
b. How many bandages and lozenges will be in each kit?
Answers
Answer:
1. 75
2. 1
Step-by-step explanation:
Cody leaves his home and cycles 5y miles south, then cycles (2y + 10) miles east. Finally, he cycles (4y + 8) miles south and reaches his school. How far does Cody cycle (in terms of y)?
Answers
Answer:
11y + 20
Step-by-step explanation:
Given that:
Distance south = 5y miles
East = (2y + 10) miles
Final = (4y + 8) miles
Total cycle in terms of y
Take the sum of the distances :
5y + 2y + 10 + 4y + 8
11y + 20
HELP ASAP GIVING BRAINLIEST!!!
Answers
Answer:
Ok???????????????????
High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?
Answers
Answer:
18.5 in approx
Step-by-step explanation:
Given data
aspect ratio of 16: 9
L= 16in
W= 9 in
We want to find the diagonal of the TV
applying Pythagoras theorem
d^2= l^2+w^2
d^2= 16^2+ 9^2
d^2=256+81
d^2= 337
d= √337
d= 18.35 in
Hence the tv is 18.5 in approx
HI PLSS HELP THIS IS DUE IN 15 MINS AND PLS SHOW WORK TYY
find all the missing angles
Answers
Answer:
its #####
Step-by-step explanation:
first you have to##### and then you pls give me points because a need help with some stuff
x= 137
z= 137
hope this helped
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can I choose?
Answers
Answer:
48048
Step-by-step explanation:
Total number of players = 16
Selection to be made :
1 goalie ; 10 players
Hence ;
Choosing 1 goalie from 16 players :
16C1
Choosing 10 players from the remaining (16 - 1), 15 players
15C10
Hence,
16C1 * 15C10
16 * 3003
= 48048
The radius of a circle can be approximated using the expression √(A/3). A circular kiddie swimming pool has an area about 28 square feet. An inflatable full-sized circular pool has an area of about 113 square feet. How much greater is the radius of the full-sized pool than the radius of the kiddie pool? round to the nearest whole number.
It says Hint: First find the radius of each pool by substituting for A in the expression. Divide by 3 before approximating square root.
Answers
Answer:
yeah I know you are literally perfect for you to be home
By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
The expression for the radius of a circle is:
R = √(A/3)
Where A is the area of said circle.
The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:
R = √(28 ft^2/3) = 3 ft
The full-sized pool has an area of 113 ft^2, then its radius is:
R' = √(113 ft^2/3) = 6 ft
To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:
R'/R = 6ft/3ft = 2
Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
If you want to learn more, you can read:
https://brainly.com/question/20767796
You have $120. You spend 75% of your money. How much did u spend?
Answers
Answer:
$90
Step-by-step explanation:
$120 x .75 = $90
Which function is the best represented by the graph?
Answers
Answer:
B
Step-by-step explanation:
Max made 20 out of 32 free throws. What is the experimental probability that he will make his next free throw attempt?
Answers
Answer:
There is an 62.5% chance that he makes his next free throw.
Step-by-step explanation:
20:32
20 ÷ 32 = 0.625 = 62.5%
What is the value of the expression?
2 x[(-6 + 4) X (5 + 9) - 3]
Answers
Answer:
- 62
Step-by-step explanation:
Calculate the sums within the brackets first and then multiplication, as stated by the BOMDAS rule.
B = Brackets
O = ?
M = Multiplication
D = Division
A = Addition
S = Substitution
(- 6 + 4) = -2
(5 + 9) = 14
- 2 × 14 = -28
- 28 - 3 = - 31
2 × - 31 = - 62
Disclaimer: I am not sure if one of the x's is used as a variable or not
Find the solution to the system by graphing
Answers
Answer:
y = -3x + 1 (Red line)
y = x - 7 (Blue line)
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answers
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Can you please tell me the equation to solve for x
Answers
Answer:
53 + 67 + x = 180
Step-by-step explanation:
Answer:
180 = 53 + x + 67
(A straight line equals 180°)
good luck, hope this helped :)
Work out m and c for the line:
y = X – 2
Answers
m = 1
c = -2
Please do number 16 for me.
Answers
Answer: m∠5 = 75°.
Step-by-step explanation:
We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.
We know that:
"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"
Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)
Then the measure of ∠1 is the same as the measure of ∠5
And we know that m∠1 = 75°
Then we must have that m∠5 = 75°.
If the measure of one interior angle on a regular polygon is 150°, how many sides does the polygon have?
Answers
Answer:
The shape is a Dodecagon
Write an equivalent expression by distributing the "_" sign outside the parentheses-(6p-7.2)
Answers
HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?
Input x 1 2 3
Output y 4 7 10
Input x 0 1 2
Output y -1 -2 -3
Input x 0 1 2
Output y -1 2 5
Input x 2 3 4
Output y 2 4 6
Answers
Answer:
Input x 0 1 2
Output y -1 2 5
Step-by-step explanation:
just plug in all the answers for x and solve the equation. like this:
y=3*0-1=
y=0-1=
y= -1
---------------------
y=3*1-1=
y=3-1=
y=2
--------------------------
y=3*2-1=
y=6-1=
y=5
------------------------
all the results match with the table
hope I helped God bless you
the product of lisa and her twin brother is 36 and their sum is 36 how old can lisa be
Answers
Answer:
6 years old
Step-by-step explanation:
Since her twin brother is the same age as her, you are looking for two equal factors whose product is 36. The square root of 36 is 6, so the answer is they are both 6 years old.
Gloria sells skateboards and charges a $15 shipping fee for each skateboard. She sold 14 skateboards last week and charged a total of $938. If Gloria charges the same amount for each skateboard, how much does she charge for one skateboard?
Answers
Answer:
She charges 52$
Step-by-step explanation:
pq=3-a√x
make x the subject
Answers
Step-by-step explanation:
pq = 3 - a√x
Making x subject
a√x = 3 - pq
√x = (3 - pq) / a
x = [ (3 - pq) /a ]²
Hope it will help :)
What is 26% of $3,000
Answers
what is the slope formula?
NEED HELP PLZ
Answers
Answer:
y = mx + b
Step-by-step explanation:
Answer:
slope formula is y=mx+b
what is the actual length?
Answers
Answer:
Step-by-step explanation:
2ft
Uhhhh last question lol I have to match them
Answers
Answer:
7. is 5 - 35n
8. is -6x - 24
9. is 15m - 30
10. is 24p - 28
11. is 5b - 5
12. 5x + 45
RULE:
WHEN MULTIPLYING TWO NEGATIVES YOU WILL GET POSITIVE.
IF ONE IS NEGATIVE AND THE OTHER IS POSITIVE WHEN MULTIPLYING IT WILL BE NEGATIVE.
WHEN MULTIPLYING TWO POSITIVE NUMBERS IT WILL ALWAYS BE POSITIVE
SAME THING IF YOU MULTIPLY A POSITIVE NUMBER WITH A NEGATIVE NUMBER YOU GET A NEGATIVE AS YOUR ANSWER
YOU NEED ONE SIGN OF THE SAME WHEN MULTIPLYING TO BE A POSITIVE AS YOUR ANSWER
YOU NEED ONE SIGN TO BE DIFFERENT FROM THE OTHER WHEN MULTIPLYING TO GET A NEGATIVE AS YOUR ANSWER
-6x-24
15m-30
24p-28
5b-5
5x+45
Hope this is helpful:D
On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answers
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.