Answers
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Related Questions
Please help! 25 points! Find the sum of the first 6 terms of the following series, to the nearest integer.
28, 112, 448,....
Answers
Answer:
595
Step-by-step explanation:
First term:
7
7 ⋅ 4 = 28
Second term:
28
28 ⋅ 4 = 112
Third term:
112
112 ⋅ 4 = 448
Fourth term:
448
This geometric sequence can be further described by the equation:
aₙ = 7 ⋅ 4 ⁿ⁻¹
So if you want to find the 4th term, n = 4
a ₄ = 7 ⋅ 4 ⁴⁻¹ = 7 ⋅ 4 ³ = 7 ⋅ 64 = 448
Note:
aₙ = a₁ rⁿ ⁻¹
Plz help me well mark brainliest if you are correct!!....
Answers
Answer:
9
Step-by-step explanation:
the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.
The absolute value of -12 is 12 and the absolute value of -3 is 3. So, |-12| - |-3| = 12 - 3 = 9
Justin has a 2pound bag of Lima beans that he want to divide between 3families.how many pound of Lima beans should each family's receives? A. 3/2 pound b.2/3 c.2 1/3 pound d.3 1/3 pounds
Answers
Answer:
2/3 lbs
Step-by-step explanation:
2 divided by 3=2/3=2/3
Happy learning!
The slope of the line below is 0.4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-5, -3)
Answers
y + 3= 0.4(x + 5)
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?
Answers
Answer:
1
Step-by-step explanation:
A third of 3=1
3/3=1
Evaluate: 3 x 23 x 4² x 3-7x4-2
Answers
No random answers or links, please.
Answers
Answer:
1
Step-by-step explanation:
By question it's given that ,
=> h(x) = -x - 1
For finding h(-2) , substitute x = -2 .=> h(-2) = -(-2)-1
=> h(-2) = 2 - 1
=> h(-2) = 1
Hence the required answer is 1.Answer:
the ans is 1 hope ut may help u
Step-by-step explanation:
x=-2
x = -(-2) -1
x=2-1
x=+1
Help thank yoy if you do. Please eat if you havent today remember i love you
Answers
Find the area of the polygon shown. Enter the number into the box.
ft? 1 ft 4 ft 4 ft
Answers
Answer:
The area of the trapezium is 18 ft²
Step-by-step explanation:
Given;
Two parallel sides of the polygon as follows;
The first parallel side = 1 ft + 4 ft = 5 ft
The second parallel side = 4 ft
If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.
The area of a trapezium is calculated as;
[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]
Therefore, the area of the trapezium is 18 ft²
what value is needed to complete the square?
X²-2x + _______
Answers
Answer:
[tex]X^2-2x+1[/tex]
Step-by-step explanation:
Traditional pattern for a perfect square:
[tex]x^{2} +2ax+a^{2}[/tex]
Which factors into: [tex](x+a)^2[/tex]
We know becuase a is "missing" from the original equation that it must equal 1; therefore:
[tex]x^2+2x+1[/tex]
Which we know is correct because it factors into: [tex](x+1)^2[/tex]
Plz help me well mark brainliest if correct!!...
Answers
Answer:
A/5
Step-by-step explanation:
There are 2 people after 5 in the the 4| part and 3 under 6 in the 5| part.
3
Triangle ABC is similar to triangle DEF.
+
12 units
D
A
8 units
6 units
What is the value of k in units?
A 9 units
B 10 units
C 16 units
D 4 units
Answers
Answer:
16units is the correct answer
Question: What is 4 - 1/8
Answers
Answer:
The answer is 3 7/8 or 3.875
Simplify: −(−(−78))
Write answer in numerical value
Answers
Answer:
-78
Step-by-step explanation:
We need to find the value of -(-(-78))
We know that, -(-x) = +x
And -(-(-x)) = -x
We have,
x = 78
When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,
-(-78) = +78
And
-(-(-78)) = -78
So, the numerical value is -78.
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did
each person invest?
Answers
Step-by-step explanation:
212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six
Please help look at picture and solve for x I’ll mark u as brainliest and no links
Answers
Answer:
A x=18
Step-by-step explanation:
Jamie's Famous Hamburgers has 423.1 pounds of hamburger. If Jamie sells 279.51 pounds of hamburger for lunch now, how many pounds will be left over for dinner? (Try to do this problem without a calculator!)
Answers
Answer: The answer is 143.59
Step-by-step explanation:
I just subtracted 279.51 from 423.1! :)
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal places.
Answers
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
Which system of linear equations has exactly one solution?
2y = 10x + 4
y = 5x - 2
y = 2x - 3
2y = x - 12
y = 8x + 3
y = 8x + 7
15y = 30x + 90
y = 2x + 6
Answers
Answer:
y = 2x - 3
2y = x - 12
Step-by-step explanation:
On Thursday ShopRite sold 237 pounds of ground beef. On Friday they sold three times that amount. On Saturday they only sold 166 pounds. How much more meat did they sell on Friday than Saturday?
Answers
friday=237x3
=711
saturday=166
711-166=545
Choose the item that has measurable volume.
a dollar bill
a page from a magazine
a quiz paper
a jug of milk
Answers
Answer:
A jug of milk
Step-by-step explanation:
I don’t know how to solve this I’m so confused please help me
Answers
Answer:
240 inches squared
Step-by-step explanation:
12 x ( 3 + 17) =
12 x 20 =
240 inches squared
If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x find f(x)-g(x)
Answers
Answer:
[tex]2 ( \sqrt{x} - {x}^{3} )[/tex]
Step-by-step explanation:
[tex] \sqrt{x} - x - (2 {x}^{3} - \sqrt{x} - x) [/tex]
[tex] \sqrt{x} - x - 2 {x}^{3} + \sqrt{x} + x[/tex]
[tex]2( \sqrt{x} - {x}^{3} )[/tex]
Find the side length of
square area of 50 cm^2? find the perimeter.
Answers
Answer:
100cm
Step-by-step explanation:
Because 50x2=100 cm
Write the number in scientific notation. 0.00000625
Answers
Please, someone correct me if im wrong. J trust in my answer tho, dont worry.
If im correct, mark be branliest tysm!
Have a nice day
The number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
To write the number 0.00000625 in scientific notation, we can follow these steps:
First Move the decimal point to create a number between 1 and 10.
In this case, we can move the decimal point 6 places to the right to obtain 6.25.
Count the number of places moved to determine the exponent.
Since we moved the decimal point 6 places to the right, the exponent will be -6.
Write the number in scientific notation.
0.00000625 can be written as [tex]6.25\times 10^{-6}[/tex].
Therefore, the number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
Learn more about scientific notation at ;
https://brainly.com/question/29065322
#SPJ6
Curts kite is 36 yards above the ground and directly above the tree. The length of the string from Curt to the kite is 49 yards. How far is Curt from the tree?
Answers
Answer:
about 33.24 yards
Step-by-step explanation:
a² + b² = c²
so, 36² + b² = 49²
1296 + b² = 2401
b² = 1105
Take the square root of both sides..
b = 33.24 yards
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Answers
Step-by-step explanation:
always begin any problem by writing what you know
circumference is
u = 2 pi r
1)
u=3.14
r=?
3.14 = 2 pi r
Solve for r
the rest of the problems you just plug the numbers into the formula
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A beagle puppy has long ears, like its parents. Which of the following best
describes how traits such as long ears are passed from one generation of dogs to
the next?
A. The puppy inherits genes from its parents and presesses all of the traits of
both parents
B. The puppy inherits one gene from each parent and each gene contains
information for half of the puppy's traits,
c. The puppy inherits pairs of genes from its parents, and these gene pairs
determine the traits the puppy will possess.
D. The puppy inherits pairs of genes from each parent, and these genes contain
chromosomes that determine the puppy's traits
Answers
Answer: either B. or C. ( at least i tried. )
A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99
for 30 oz. Which is the better deal? explain.
Answers
Answer:
the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.
Step-by-step explanation:
I need the answer pls I really neeed it