Answer:
BD = 32.5
Step-by-step explanation:
Since this is a square, the length of all the sides are equal. So line AB = BC = CD = DA = 23
Additionally, all the interior angles are the same (90°)
To find the length of BD, you can cut the square in half diagonally to form two right angled triangles, ABD and BCD.
For either one, BD is the hypotenuse of the right angled triangle so we can use Pythagoras' theorem to solve for the that (since we also know the legnth of the sides)
a = 23
b = 23
c = BD, which we have to find
[tex]a^{2} +b^{2} =c^{2} \\23^{2} +23^{2} =c^{2} \\\sqrt{23^{2} +23^{2} } = c\\\sqrt{529+529} =c\\\sqrt{1058} = c\\32.5 = c[/tex]
therefore the length of BD is 32.5
hope this helps!
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?
Answer:The best prediction is 1/6 of the times or one time of the six that you will roll a two..
This is because without any interference, each of the six numbers of the dice will have same theoretical probability (which is the probability or chances that is expected.
Find the missing values
Peter, Bridget and Caroline share some sweets in the ratio 6:3:2. Peter gets 56 more sweets than Caroline. How many sweets are there altogether?
Answer:
The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets
Step-by-step explanation:
Ratios are a way of displaying the proportional split of a value and they are very similar to fractions. In the example above, we see that for every 2 sweets Amy has, Beth gets 3 and, Colin will get 4. Like fractions, this proportion will stay the same regardless of the scale of the ratio. The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets. So, what scale factor do we need to get it from a total of 9 sweets to a sum of 36 sweets? We know that 9 multiplied by 4 gives us 36, therefore, we can use a scale factor of 4. Remember how whatever is done to the denominator of a fraction has to be done to the numerator? Ratios like to behave the same way, so now that we have scaled up the sum of the ratio, we need to scale up the individual values by 4 – (2x4) : 3x4 : 4x4. Once we work it out we get the new ratio 8:12:16. You can check if you’re right by adding up the new values and you will see that 8 + 12 + 16 = 36, which is the value that the 9 was initially scaled up to. So we now know that when sharing the 36 sweets, Amy will get 8 sweets, Beth will get 12 sweets and Colin will get 16.
somebody please help me in this question, I’ll give you brainlyest and giving you 20 points :)
Answer:
Step-by-step explanation:
Noice....
6(2y+6)=4(9+3y)
divide both sides by 2
6(2y+6) / 2 = 4(9+3y) / 2
then after simplification
3(2y+6) = 2(9+3y)
6y + 18 = 18 + 6y
w t hell
it cant be solved
it can be but i think its misprinted
subtract x^2 - 2x - 6 from -6x + 5
Answer:
x^2+4x-11
Step-by-step explanation:
x^2 - 2x - 6 - (-6x + 5)
x^2-2x-6 +6x - 5
x^2 +4x -11
Please help due now in 10mins please I’m beg you
Answer:
Step-by-step explanation:
a. f(x)=3x+10
b. $112
I need help solving the value for x and y
Answer:
Step-by-step explanation:
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
$
Answer:
Your answer is: X = 11
Your equation: 7x+30=90
If you subtract 7 from 90 you get 77.
If you divide 77 and 7 you get 11.
Step-by-step explanation:
Hope this helped : )
Helppp! 20 points!
Find m
m
Answer:
M∠ABC=58°
Step-by-step explanation:
The sum of Angle ∠ABD and Angle ∠DBC
37°+21°=58°
Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?
Answer:
$22.5
Step-by-step explanation:
The original price is $30 and it's on sale for 25% off. Since 25% is a quarter of the total price, I divided 30÷4=7.5. $7.5 is 25% of $30, so 7.5 is the amount taken off the original price. To find what Daysi paid, I subtracted 30-7.5=22.5. $22.5 is the result after the 25% off, so Daysi paid $22.5.
can u pls help me ill give brainliest
Answer:
<
Step-by-step explanation:
Evaluate 3√343 + 3/4 3√-8
Answer:
5 1/2 is the answer, hope this helps
8/x = 32
..................
Answer:
Step-by-step explanation:
x= 1/4
What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?
Respond in the space provided.
Answer: 21
Step-by-step explanation:
Formula
(21.2°F − 32) × 5/9 = -6°C
An expression for the nth term of a sequence is
10-n^2
Find the third term of this sequence.
Answer:
1
Step-by-step explanation:
[tex] a_{n} = 10 - {n}^{2} \\ \\ \: plug \: n = 5 \\ \\ a_{3} = 10 - {3}^{2} \\ \\ a_{3} = 10 - 9 \\ \\ a_{3} = 1[/tex]
What is the reciprocal 1/5. im very confused
Answer:
5/1
Step-by-step explanation:
The reciprocal is just flipping the fraction!
Please help. Picture is attached below. Thank you! :) Will give brainliest!!
Answer:
e = 2
Step-by-step explanation:
Hope this helps! ///////////////////////
7(2e - 1) - 3 = 6 + 6e =
14e - 7 - 3 = 6 + 6e =
14e - 10 = 6 + 6e
-6e -6e
8e - 10 = 6
+ 10 + 10
8e = 16
e = 2
At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
Do you agree with the rules of the council on tall buildings and urban habitat regarding spires and antennae? Are the Petronas towers really taller than the Sears tower?
Answer:
Yes, I agree
The Petronas Towers are taller than the Sears tower
Step-by-step explanation:
The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.
According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.
The architectural height of the Petronas towers is 1,483ft
The architectural height of the Sears (now Willis) tower is 1,450ft
PLS SOMEONE HELP MEEE
Answer: 20
Explanation:
brainly and 50 points if you answer right because this is my writing prompt from my math class.
Take a look at the Ccenario given your friend needs help. so how would you explain what to do? what are some possible mistakes your friend might make? remember to explain in complete sentances.
fatima paid for 5 pallets of grass to be deliverd.
each pallet of grass cost $129.95.
fatima paid $76.20 for delivery.
what is the total amount fatima paid?
pls help
Answer:
$725.95Step-by-step explanation:
Given
Cost of each pallet = $129.95Number of pallets = 5Delivery cost = $76.20Total cost is:
5*$129.95 + $76.20 = $725.95What is the constant in the
expression below?
15 – 4b
A
B
С
Answer:
15 is the constant
Step-by-step explanation:
Does not have a variable next to it which means it remains a constant
solve both problems please
easy:
what is the surface area of the rectangular prism?
L times W times H= 3 cm times 2 cm times 4 cm
Answer:
l x w do the the math
Step-by-step explanation:
there
Answer:
u said free poinstt on that persons answer so Hi
Step-by-step explanation:
Mike is a cashier. He works 35 hours and is paid a total of £217
What is Mike's hourly rate of pay? (2 marks)
Your answer
Answer:
Answer vary :
Mike is paid $6.20 per 1 hour.
Step-by-step explanation:
honestly in my opinion that’s the answer.
‘what is happening is we need to find out how much he is paid for only one hour.
knowing that mike is paid 217 in 35 hours we divide
- 217 divided by 35 = 6.2
and that’s the answer to check if it’s right we multiple 6.2 by 35
- 6.2 times 35 = 217
wich shows it is correct.
and that is how I came to that solution.
What is 7x + 10 = 7x + 10
Answer:
Infinite solitutions
Step-by-step explanation:
The expressions are the exact same, so there are infinite solutions.
Answer:
infinite solutions
Step-by-step explanation:
Can anyone help me with this??
Answer:
find the cordinates of each letter or number then find witch is greater or less than when your answering it
Step-by-step explanation:
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above the ground?
Answer:
1,050 ft
Step-by-step explanation:
Which is an equation of a direct proportion
value of -2 ( x + 5 )