The length of the diagonal from point A to point G is √89.
Blank 1: Using the Pythagorean Theorem
Blank 2: Finding the AC.
Blank 3: Now use CG as a adjacent side.
Blank 4: Now AG is being Hypotenuse.
Blank 5: Now find AG.
In the given question, we have to find the length of the diagonal from point A to point G.
We would first use on the bottom of the box rectangle to find the diagonal AC.
Then we use CG as of the triangle ACG.
Blank 1: Using the Pythagorean Theorem
In this theorem; a^2+b^2=c^2
Where a=adjacent side, b=base, c=hypotenuse
Blank 2: Finding the AC.
Now in the triangle ABC, use Pythagorean Theorem
So AC = √(AB)^2+(BC)^2
AC = √(8)^2+(3)^2
AC = √64+9
AC = √73
Blank 3: Now use CG as a adjacent side.
Blank 4: Now AG is being Hypotenuse.
Blank 5: Now find AG.
Now in the triangle ACG, use Pythagorean Theorem
So AG = √(AC)^2+(CG)^2
AG = √(√73)^2+(4)^2
AG = √73+16
AG = √89
Hence, the length of the diagonal from point A to point G is √89.
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What is 8x + 4 + 4 (x + 4) + 2?
Answer:
12x + 22
Step-by-step explanation:
8x + 4 + 4 (x + 4) + 2 =
8x + 4 + 4x + 16 + 2 =
12x + 4 + 16 + 2 =
12x + 22
Answer:
12x + 22
Step-by-step explanation:
open the brackets:
4(x+4) = 4x + 16
write the sum:
8x + 4 + 4x + 16 + 2
put like terms together:
8x + 4x + 4 + 16 + 2
add the rest:
12x + 20 + 2
answer:
12x + 22
The width of a rectangle measures (4.9m-8.6)(4.9m−8.6) centimeters, and its length measures (2.7m-2.1)(2.7m−2.1) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
YA WEY CALLATE CABRON
Step-by-step explanation:
YA WEY CALLATE CABRON
Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
Students are asked to add one tenth and 0.1. Several different answers were submitted: 1.1, 0.11, 0.2, 0.21, and 10.1. For each response, write a decimal number sentence that would produce that answer.
The wording for the decimal will be:
1.1 = one point one
0.11 = zero point eleven
0.2 = zero point two
0.21 = zero point two one
10.1 = ten point one
How to explain the decimal?It is important to note that a decimal simply means the number that's made of a whole number and a fraction.
From example 10.1 in wordings will be ten point one. In this case, the students are asked to add one tenth and 0.1. The decimals have been given in words above.
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What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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What is 4(2 + a) = 24
a=
Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaeyFor the number line shown, which statement is not true?
A number line shows a to the left of 0 and b to the right of 0. Point a is closer to 0 than point b.
|a| > b
–|b| a
|a| < |b|
Answer:
1a8?
Step-by-step explanation:
thi is how
The incorrect statement for the given condition is;
⇒ |a| > b
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.
Now,
Since, Point a is closer to 0 than point b.
And, Number 'a' to the left of 0 and 'b' to the right of 0.
Hence,
Let the number 'a' = - 1
Then, The number 'b' = 2
So, We get;
|a| = |-1| = 1
And, |b| = 2
Clearly, |a| < b
Thus, The incorrect statement for the given condition is;
⇒ |a| > b
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24. MP.3 Construct Arguments Explain why the following quotient is incorrect; 1,000÷ 5 = 2,000
\(1000 \div 5=200\), not \(2000\).
Answer:
1,000 is a smaller number than 2,000, while 1,000 is being divided by a positive number, it is impossible for 1,000 ÷ 5 to become 2,000. 1,000 divided by 5 is 200, and 1,000 multiplied by 2 is 2000
Step-by-step explanation:
solve for x
please help
Answer:
your answer will be X=11.1
hope it helps you ...
You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?
Answer:
208 ounces in 13 pounds
Step-by-step explanation:
neither
angle of depression
angle of elevation
Answer:
elevation
Step-by-step explanation:
Write a word phrases for the expression 16 ÷ (X + 4)
Answer:
16 divided by the total of x and 4
Step-by-step explanation:
16 / (x+4) can be rewritten as 16 divided by the total of x and 4
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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What is the variable type for the type of flooring in a room? O Qualitative Discrete O Qualitative Continuous O Quantitative O Quantitative Discrete O Qualitative O Quantitative Continuous
The variable type for the type of flooring in a room is Qualitative Discrete. This type of variable takes on unmistakable classes and can't be estimated on a mathematical scale.
Let us consider that the type of flooring in a room may be rug, tile, or hardwood, and there is no way to quantify the type of flooring on a mathematical scale.
The variable type for the type of cooking served in a café is likewise Qualitative Discrete. This variable takes on unmistakable classes like Italian, Chinese, and Mexican, and it is basically impossible to gauge the type of food on a mathematical scale.
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The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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h(x) = 2x + 3
Complete the function table.
X. H(x)
-4
0
1
2
3
Answer:
X H(x)=2x+3
-4 -5
0 3
1 5
2 7
3 9
List all the elements of the sample space for the following experiment:
6 OF
You roll a die and toss a penny.
a (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, 1), (4, T), (5, T), (6, T)
b. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, H), (2, H), (3, H), (4, H), (5, H), (6, H)
C. (1, 1), (2, 1), (3, 1), (4,T), (5, 1), (6, 1), (1, 1), (2, 1), (3, T), (4, T), (5, 1), (6, T)
d. (1, H), (3, H), (5, H), (2, T), (4, T), (6, T)
Answer:
None
Step-by-step explanation:
There are 6 numbers on a dice, 1, 2, 3, 4, 5, and 6 and a penny has a head and tail (unless it is a double headed coin). Therefore, you can roll 1 number and a head OR tail.
The answer is (1, H), (2, H), (3, H) , (4, H) , (5, H) , (6, H) , (1, T), (2, T), (3, T), (4, T), (5, T), and (6, T)
Unless for A. (3, 1) is (3,T) then A is the answer.
Unless for B. the second set of Heads are meant to be Tails then B is the answer. Same for option C. with Tails needing to include Heads.
D. is missing half of the number options for both Heads and Tails.
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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Four friends a agree to save money for a graduation road trip. They decide that
each of them will put $0.25 in the fund on the first day of May, $0.50 on the
second day, $0.75 on the third day, and so on. At the end of May, there will be
S- in their fund. (Hint: There are 31 days in May.)
$147.25
0.25 is the interval add to all the days
after add them and multiply by 4
What two numbers have a product of 5 and a sum of -6
Answer:
-1 and -5
Step-by-step explanation:
-1x-5= 5
-1+-5= -6
Find the Greatest common factor
42,60
Answer:
6
Step-by-step explanation:
Greatest common factor (GCF) of 42 and 60 is 6.
As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.
List out all of the prime factors for each number:
Prime Factors for 42: 2, 3, and 7
Prime Factors for 60: 2, 2, 3, and 5
Now that we have the list of prime factors, we need to find any which are common for each number.
Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.
To calculate the prime factor, we multiply these numbers together:
GCF = 2 x 3 = 6
(hope this helps can i plz have brainlist :D hehe)
Divide.
3 15/16 ÷ 2 1/4
pls i will give 25 points
Step-by-step explanation:
here is your answer and marking me as brainlist
thank you
Answer 53/36
Step-by-step explanation:
If you want it in exact form it's 53/36
If you want it in mixed number form it's 1 17/36
If you want it in decimal form it's 1.472
You roll 2 six-sided dice. What is the probability of rolling a sum that is less
than 4? Round your answer to the nearest whole number percent.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Substitute x=-2y into the expression 6x-7 and simplify
Answer:-12y -7
Step-by-step explanation: I think
Answer:
-12y - 7
Step-by-step explanation:
x = -2y
6x - 7 or 6(-2y) - 7
-12y - 7
Martin wants to buy a new bedroom set that cost $1590 including tax. Unfortunately he doesn’t have $1590 so he secures a 2 year loan from the furniture store at 9% interest to be repaid in 254 equal monthly installments. Find the monthly payment
The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:
Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Here,
Loan Amount = $1590
Interest Rate = 9% per annum
Time = 2 years = 24 months
number of Months = 254 (as there are 254 monthly installments)
First, we need to calculate the Monthly Interest Rate using the following formula:
Monthly Interest Rate = Annual Interest Rate / 12
The Annual Interest Rate is 9%,
so the Monthly Interest Rate is: Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,
we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)
Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
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Hi.
Please read this a moment...
You are beautiful unique don't let anyone change that! :>
<3
remember there will be always someone that will love you, but first you need to love yourself!
Goodluck with life! <3
Answer:
Thank you so much made my day!
Step-by-step explanation:
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
If BC= 48 cm and sin
Using relations in a right triangle, it is found that the length of AC is of 14 cm.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Researching this problem on the internet, we have that:
The opposite leg to angle A is of 48 cm.sin(A) = 0.96.Hence the hypotenuse is found as follows:
sin(A) = 48/h
0.96 = 48/h
h = 48/0.96
h = 50 cm.
The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:
\(x^2 + 48^2 = 50^2\)
\(x^2 = \sqrt{50^2 - 48^2}\)
x = 14 cm.
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