Answer:
The length is APPROXIMATELY equal to 12.4.
Step-by-step explanation:
Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:
[tex]13^{2} = 169[/tex]
[tex]4^{2} =16[/tex]
169-16=153.
[tex]\sqrt{153}[/tex] ≈ 12
or
[tex]\sqrt{153}=12.36931688[/tex]
or if the problem has to be exact (using radicals)
3*[tex]\sqrt{17}[/tex]
I hope this helps ;)
A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?
Can I get help with this please I am so stuck in here
Answer:
the correct answer is d
hope it help
The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.
Answer:
The polynomial expression for the profit from making and selling 'n' paper goods, is;
n × (n - 18)
Step-by-step explanation:
The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;
R = 2·n² - 15·n + 23
C = n² + 3·n + 23
The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;
The profit, P = R - C
By substituting the polynomials representing 'R', and 'C', we have;
P = 2·n² - 15·n + 23 - (n² + 3·n + 23)
∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23
P = n² - 18·n = n·(n - 18)
P = n·(n - 18)
The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).
Can someone please help me with this questions please help me I really need help please.
Answer:
C) Line A does not intersect Line B.
Step-by-step explanation:
Line A passes through (6 ,-30) & (-2 , 10)
Line B passes through (-4 , 28) & (2 , -2)
Find the slopes for each line. To find the slope, use the slope formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Line 1:
Let:
[tex](x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{10 - (-30)}{-2 - 6} = \frac{10 + 30}{-8} = \frac{40}{-8} = \frac{-5}{1}[/tex]
Line 2:
Let:
[tex](x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{28 - (-2)}{-4 - (2)} = \frac{28 + 2}{-4 - 2} = \frac{30}{-6} = \frac{-5}{1}[/tex]
The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)
Answer:
x= 8/5
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
Step 1: Simplify both sides of the equation.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1(x−3)(Distribute the Negative Sign)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1x+(−1)(−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−x+3
(
1
3
)(x)+(
1
3
)(3)+
1
6
=(
1
2
)(x)+(
1
2
)(−1)+−x+3(Distribute)
1
3
x+1+
1
6
=
1
2
x+
−1
2
+−x+3
(
1
3
x)+(1+
1
6
)=(
1
2
x+−x)+(
−1
2
+3)(Combine Like Terms)
1
3
x+
7
6
=
−1
2
x+
5
2
1
3
x+
7
6
=
−1
2
x+
5
2
Step 2: Add 1/2x to both sides.
1
3
x+
7
6
+
1
2
x=
−1
2
x+
5
2
+
1
2
x
5
6
x+
7
6
=
5
2
Step 3: Subtract 7/6 from both sides.
5
6
x+
7
6
−
7
6
=
5
2
−
7
6
5
6
x=
4
3
Step 4: Multiply both sides by 6/5.
(
6
5
)*(
5
6
x)=(
6
5
)*(
4
3
)
x=
8
5
Hello, can someone please assist me with this problem.
Which quadrilateral's diagonals are congruent and perpendicular bisectors of each other?
Diagonals congruent: rectangle, square, isosceles trapezoid
Perpendicular bisectors: Rhombus, Square
please HELP! USE PYTHAGOREAN THEOREM TO FIND RIGHT TRIANGLE SIDE LENGTHS
formula A(2)+B(2)=C(2)
Answer:
x = √ 40
Step-by-step explanation:
6 x 6 = 36 2 x 2 = 4 36 + 4 = 40Un estudiante reparte el tiempo de un día de la siguiente forma:
1/4 del día duerme,
1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12
del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?
Answer:
4 horas para compatir com su familia
please help i have a test tomorrow
Answer:
a
b
e
Step-by-step explanation:
remember length times width equals area
HELP !!
In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=−9; an=an−1+6
a1=−9; an=6an−1
a1=9; an=an−1+6
a1=9; an=6an−1
Answer:
Given sequence:
a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33Common difference is:
33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6Find the first term:
a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9Recursive formula:
a₁ = -9 and aₙ = aₙ₋₁ + 6Correct choice is A
Over a 5-year period, a company reported annual profits of $8 million, $3 million, $2 million, and $9 million. In the fifth year, it reported a loss of $7 million. What was the mean annual profit?
Given
Annual profits of four years $8 million, $3 million, $2 million, and $9 million.
In the fifth year, it reported a loss of $7 million.
To find:
The mean annual profit.
Solution:
Formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
Annual profits are $8 million, $3 million, $2 million, $9 million and -$7 million. Here negative sign represent loss.
So, the mean annual profit is:
[tex]\text{Mean}=\dfrac{8+3+2+9+(-7)}{5}[/tex]
[tex]\text{Mean}=\dfrac{22-7}{5}[/tex]
[tex]\text{Mean}=\dfrac{15}{5}[/tex]
[tex]\text{Mean}=3[/tex]
Therefore, the mean annual profit is $3 million.
Yesterday, the temperature change for a 5-hour period of time was – -degree per
hour. Which statement describes this change?
A
The temperature rose 5 degrees.
B
The temperature rose 4 1/4 degrees.
с
The temperature fell 4 degrees.
D
The temperature fell 5 4/5
degrees
Answer:
D
Step-by-step explanation:
.222222222 as a fraction Please help
Answer:
222222222/1000000000
Step-by-step explanation:
What is the measure of the other acute angle.....?
I really need to get this right plsss help me ❤️ I really need to get to an 90
the answer is 30°
EXPLAINATION:
since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°
so, 90° + 60° + x = 180
150° + x = 180°
so x = 180° - 150° = 30°
hence, the other acute angle is 30°.
what is 25/x 15/30 can you please help
Answer:
x = 50.... 25/50 = 15/30 or 1/2 = 1/2
Step-by-step explanation:
25/x = 15/30
consider the cross multiply
25 * 30 = 15 * x
750 = 15x
divide both sides with 15 to make the co-efficient of x, 1.
x = 50
Answer:
5×15/6
5×5/2
25/2
12.2 is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism
Answer:
Surface area of cuboid = 78 unit²
Step-by-step explanation:
Given diagram is a cuboid prism
Given:
Length of cuboid = 5 unit
Width of cuboid = 3 unit
Height of cuboid = 3 unit
Find:
Surface area of cuboid
Computation:
Surface area of cuboid = 2[lb + bh + hl]
Surface area of cuboid = 2[(5)(3) + (3)(3) + (3)(5)]
Surface area of cuboid = 2[15 + 9 + 15]
Surface area of cuboid = 2[39]
Surface area of cuboid = 78 unit²
What type of triangle is this ?
Answer:
triangle bby
Step-by-step explanation:
Step-by-step explanation:
Right because there's an angle of 90
Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?
A. 180 students
B. 12 students
C. 300 students
D. 36 students
Help plssssss I need it I’m failing life like uhhhhhh
Answer:
164
Step-by-step explanation:
15(5)
2(7)
15(5)
add em up
75 plus 14 plus 75
Jamie was surveying students about their use of the new science lab in a school. Which question in the survey is a statistical question?
Complete Question is:
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer:
D.) How many class projects did you complete using the computer lab?
The answer is D because the question is directly related to the use of their new computer lab and the number of projects the students have completed in the computer lab. This is directly related to the survey since it is carried out for the students using computer lab.
yo i need help please i need the correct answer i will give u a brainliest to please just help me
Answer:
a
Step-by-step explanation:
Which expression is equivalent to 5(2+7)?
Answer:
I can help you but first I need the rest of the answers to find out what's it equivalent to.
the base of the cylinder? Use 3.14 for n and round the answer
to the nearest hundredth.
h-13 in
r =
in.
Answer:
r = 7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
Given:
V = 2000
h = 13
Work:
V = πr²h
r² = V/(πh)
r² = 2000/(3.14 * 13)
r² = 2000/40.82
r² ≈ 49
[tex]\sqrt{r^2} =\sqrt{49}[/tex]
r = 7
Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium
Correct Question:
He counts 18 female students, 16 male students, and 6 teachers. There are
720 people in the auditorium. Consider the probability of selecting one person
at random from the auditorium.
Which of these statements are true?
Choose all that apply.
A: The probability of selecting a teacher is 6%.
B : The probability of selecting a student is 85%.
C : The probability of selecting a male student is 32%.
D : The probability of selecting a female student is 45%.
Step-by-step explanation:
Option B and D are correct because
The total number of people in one cross section = 18 + 16 + 6 = 40.
A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %
B = The probability of selecting a male student is = (34/40)x100 = 85%
C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %
D : The probability of selecting a female student is = (18/40)x100= 45%
Please answer these 3 answers correctly
Answer: 3. Tan; 4. 4.76; 5. 12
Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)
Can someone please help me with this question
This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to
Super Nintendo World last year. Although she couldn't
remember what each tickets costed, she knew that her
family paid $1700 total for the tickets,
use variable a for number of adult tickets
use variable c for number of child tickets
Write an equation that describes this situation,
Answer:
4a + 2c = 1700
Step-by-step explanation:
An element with a mass of 700 grams decays by 6.1% per minute. To the nearest
tenth of a minute, how long will it be until there are 220 grams of the element
remaining?
Answer:
11.2 minutes
Step-by-step explanation:
If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g
The mass remaining after a minute = 657.30g
The equation that can be used to solve this question is :
700 - 42.7m = 220
m = minutes
Collect like terms
700 - 220 = 42.7m
480 = 42.7m
divide both sides of the equation by 42.7
m = 11.241218 minutes
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes
Answer:
18.4
Step-by-step explanation:
I answered the question
Please tell me how to round 14,780
Answer:
for 100: 14,800
for 10: 14,780
for 1: 14,780
for 1000: 15,000
Step-by-step explanation:
ok so just go for like if its
18 its going to be 20 if its 11 its going to be 10
Hope this helps!!
PLEASE CROWN TYY
Answer:
Rounding Rules:
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Step-by-step explanation:
100: 14,800
10: 14,780
1: 14,780
1000: 15,000