Find the area and perimeter of a rectangle that has a length of (x + 24) and (x + 16). Show all work for full credit.
Answer:
Perimeter of rectangle = 4x + 80
Area = x² + 40x + 384
Step-by-step explanation:
Perimeter of rectangle = 2*(length + width)
= 2* (x + 24 + x + 16)
= 2*( x +x + 24 + 16) {Combine like terms}
= 2* (2x + 40)
Use Distributive property : a*(b +c) = a *b + a*c
= 2*2x + 2*40
= 4x + 80
Area of rectangle = length * width
= (x + 24) (x + 16) {use FOIL method}
= x*x + x*16 + 24*x + 24*16
= x² + 16x + 24x + 384 {Combine like terms}
= x² + 40x + 384
Solve for x
8x + 207
= 6x + 185
Answer:
The answer is x = -11
Answer:
8x+207=6x+185
8x-6x=185-207
2x=-22
divide by 2
x=-11
Find the 11th term in the geometric sequence: 4, 6, 9,....
Answer:
A11 = 230.66015625
Step-by-step explanation:
hi!
the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!
I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)
the next thing you can do is use this formula:
An = A1*r^(n-1)
An = the nth term of the sequence
A1 = the first term in the sequence
r = common ratio
n = the number of term that you are solving for
A11 = 4*(3/2)^(11-1)
A11 = 4*(3/2)^10
A11 = 230.66015625
You started watching a movie at 11:38 PM. The movie was 1 hour and 37 minutes. What time did your movie end?
Answer:
1:15am
Step-by-step explanation:
PLEASE HELP DUE AT MIDNIGHT
Answer:
D
Step-by-step explanation:
180-43=137
Answer:
180 - (43 + 56) = 81 (angle 1)
180 - 81 = 99 (angle 2)
180 - 56 = 124 (angle 3)
180 - 43 = 137 (angle 4)
Step-by-step explanation:
Which of the following possibilities will form a triangle? (1 point)
a
Side = 13 cm, side = 6 cm, side = 6 cm
b
Side = 13 cm, side = 5 cm, side = 8 cm
c
Side = 14 cm, side = 7 cm, side = 6 cm
d
Side = 14 cm, side = 6 cm, side = 9 cm
Answer:
D
Step-by-step explanation:
i think it D because I look up
13cm, 7cm 6cm it a lil close to Sorry if u wrong
Farah harvests 20 pounds of tomatoes from her garden. She needs 4 4/5 pounds to make a batch of soup. Additionally, if she uses 5.6 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Farah make?
Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)
Answer:
area = 120.7 cm²
Step-by-step explanation:
net area = area of rectangle - area of semi-circle
area = (19 x 7.5) - 1/2(3.14)(4.5²)
area = 152.5 - 31.8 = 120.7 cm²
The line plots below show the numbers of hours for the 12 students in each class.
The distance between the means of Class A and Class B is 4 hours.
Find the mean absolute deviation (MAD) for each class.
Answer:
for class A
mean ={3+4+8(5)+6+7)/12}=5hours
mean absolute deviation (MAD) for A
=[|5-3|+|5-4|+8|5-5|+|5-6|+|5-7|]/12=6/12=1/2
for class B
mean =4 hours given
mean absolute deviation (MAD) for B
=[|4-7|+|4-8|+8|4-9|+|4-10|+|4-11|]/12=60/12=5
Answer:
See belowStep-by-step explanation:
class-1:we are given some data 3,4,5,5,5,5,5,5,5,5,6,7
we want to figure out the MAD (Mean absolute deviation) of the given database
remember that,
[tex] \rm\displaystyle \: MAD = \frac{1}{n} \sum_{i = 1} ^{n} |x_{i} - m(x)| [/tex]
where m(X) represents the mean of the given database and [tex]|x_{i}-m(X)|[/tex] tells us to subtract every data with the got mean and n represents the number of data
let figure out m(X)
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 5(8) + 6 + 7 }{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 40 + 6 + 7 }{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x) = \frac{60}{12} [/tex]
simplify substraction:
[tex] \rm\displaystyle \: m(x) = 5[/tex]
let's figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |3 - 5 | & 2 \\ \hline | 4 - 5 | &1 \\ \hline |5(8) - 5(8)| &0 \\ \hline |6 - 5|&1 \\ \hline |7 - 5| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
last part let's figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
Class-2:likewise class-2
given database 7,8,9,9,9,9,9,9,9,9,10,11
figure out m(X)
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 9(8) + 10 + 11}{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 72 + 10 + 11}{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x )= \frac{108}{12} [/tex]
simplify division:
[tex] \rm\displaystyle \: m(x )= 9[/tex]
likewise
figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |7 - 9 | & 2 \\ \hline | 8- 9 | &1 \\ \hline |9(8) - 9(8)| &0 \\ \hline |10 - 9|&1 \\ \hline |11- 9| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
Una caja contiene lápices azules y rojos. ¿Cómo se interpreta que la razón entre los lápices azules y los rojos en la caja sea
Pregunta completa:
Una caja contiene lápices azules y rojos. ¿Cómo se interpreta que la relación entre
los lápices azul y rojo en la caja es 3: 1?
A Hay tres lápices rojos y un lápiz azul.
B Hay tres lápices azules y un lápiz rojo.
C Hay tres veces más lápices rojos que azules.
D Hay tres veces más lápices azules que rojos.
Responder:
B Hay tres lápices azules y un lápiz rojo.
Explicación paso a paso:
Si se le da eso; La relación entre los lápices azul y rojo es de 3: 1
El primer número en la expresión de razón representa el color del lápiz indicado primero en la expresión
Por lo tanto ;
Lápiz de color azul = 3
Lápiz de color rojo = 1
Por lo tanto, hay tres lápices azules y un lápiz rojo.
The circumference of a circle measures 88 cm. Find the length of the circle's diameter Use pi = 22/7 PLS HELP MEEEEE
a) 8 cm
b) 276 cm
c) 44 cm
d) 28 cm
Answer:
28, let me know if you got it right
if the difference (3x2 - 2x + 5) – (x2 + 3x - 2) is multiplied by 1/2x^2,
what is the result, written in standard form?
The result of the given equation [tex](3x^2 - 2^x + 5) -(x^2 + 3x - 2)\\[/tex] is [tex]4x^4-10x^3 + 14x^2[/tex]
What is cubic polynomial ?"Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers"
"The general form of a cubic polynomial is p(x): ax3 + bx2 + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers. An equation involving a cubic polynomial is called a cubic equation. "
The given equation is given as[tex](3x^2 - 2^x + 5) - (x^2 + 3^x - 2)[/tex]
Solving it ,we get [tex]2x^2 - 5x +7[/tex]
Now multiplying it by [tex]1/2x^2[/tex] gives us [tex]4x^4-10x^3 + 14x^2[/tex]
Hence the answer is [tex]4x^4-10x^3 + 14x^2[/tex]
To know more about cubic polynomial here
https://brainly.com/question/12726811
#SPJ2
What are two components of a sample space
Simplify *show work!!*
(X^6)^1/2
Answer:
[tex]x^{3}[/tex]
Step-by-step explanation:
in powers:
when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36
so in this one try to do it like the one up there
6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]
The clock below shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.
Through how many degrees does the minute hand turn while Candace is on her ride?
What is 9 inches converted to feet as a fraction?
Answer:0.75
Step-by-step explanation:
Answer: 3/4
Step-by-step explanation:
9 inches to feet is 0.75
0.75 as a fraction is 3/4
Find the value of x. Round your answer to the nearest tenth.
Answer:
+4√5
Step-by-step explanation:
Note that this is a right triangle. Therefore, the lengths of the three sides are related through the Pythagorean Theorem: a^2 + b^2 = c^2, where c is the length of the hypotenuse.
Thus, x^2 + 19^2 = 21^2, or, after solving this for x^2,
x^2 = 441 - 361 = 80
x is therefore +√80, or +4√5.
9r-5r+2+r ????????? Pls help me
Answer:
5r + 2
Step-by-step explanation:
9r-5r+2+r=5r+2
\mathrm{Group\:like\:terms}
=9r-5r+r+2
\mathrm{Add\:similar\:elements:}\:9r-5r+r=5r
=5r+2
Please help i give brainliest
Answer:
The length is 9 feet and the width is 4 feet.
Step-by-step explanation:
Let the dimensions be L (the length) and L - 5 (the width).
From the given information the area is:
A = L(L - 5)
When L becomes L + 3 and width becomes (L - 5) -1 = L - 6 we have:
A = (L + 3)(L - 6) so
L(L - 5) = (L + 3)(L - 6)
L^2 - 5L = L^2 - 3L - 18
-2L = -18
L = 9
so the width = 9 - 5 = 4.
4. A triangle has a 90° angle and two sides that measure 5 cm in length. Which statements are true about this triangle? Select all that apply. A. The triangle must be an isosceles triangle. B. The triangle must be an equilateral triangle. C. The triangle must be a right triangle. D. The triangle must be an acute triangle. E. The triangle must contain an angle measuring 45° F. The third side of the triangle might be 10 cm in length.
The triangle is an isosceles right triangle, and the true statements about the triangle are
The triangle must be an isosceles triangle. The triangle must be a right triangle. The triangle must contain an angle measuring 45°How to determine the true statements?The given parameters are:
Angle = 90 degrees
Two side lengths = 5 cm
Given that one of the angles is 90 degrees, then it means that the triangle is a right triangle.
Also since two sides are equal, then the triangle is an isosceles triangle, and the other angles are 45 degrees each
Hence, the true statements about the triangle are (a), (c) and (e)
Read more about isosceles right triangles at:
https://brainly.com/question/9164906
HELP ASAP
Are 2^3 x 2^6 and (2^3)^6 are the same or different? Why?
Determine the type of triangle that is drawn below.
Answer: Isosceles acute
Step-by-step explanation:
A acute triangle has all angles less than 90 degrees. An isosceles triangle have 2 equal sides
Molly is baking for the Moms and Muffins event at her school. she will bake 4 batches of banana muffins. she needs 1-3/4 cups of bananas for each batch of muffins.
PART A
Molly completed the mutiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is mollys error? Mutiplacation problem----{4x 1-3/4=4x8/4=32/4=8}------
PART B
what is the correct number of cups molly needs for 4 batches of muffins? explain your answer.
50 meters to 20 meters
Increase or decrease?
Answer:
Decrease
Step-by-step explanation:
50 is bigger than 20, so it's decreasing and the units are the same.
cuál es la raíz cuadrada de 160?
Se trata de 12.6. Espero que esto haya ayudado!
Ravi wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 52 feet. Suppose each can of paint will cover
208 square feet. How many cans will he need to paint the ceiling?
Answer:
13 Cans
Step-by-step explanation:
If the lengths of the ceiling are 52 feet, the area would be 2704 square ft. 2704÷208=13
Hina is converting £270 into S. She knows that £1 = €1.11 and €1 = $1.21. How many S will
Hina get? Give your answer to 2 dp
HELP PLEASE
Answer:
$362.64
Step-by-step explanation:
Assuming that "S" represents the money in U.S. dollars, we are given the starting amount as 270 pounds.
We first need to convert the pounds into euros, since £1 = €1.11
So all we have to do is £270 × €1.11 = €299.70
Then, we need to convert euros into dollars, since €1 = $1.21
So all we have to do here is €299.70 × $1.21 = $362.637
Which rounds to $362.64
What is the equation of the yellow line
Answer:
y = -[tex]\frac{5}{3}[/tex] x -2
Step-by-step explanation:
The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3
Someone plz help me giving brainliest!
Answer:
the estimate is : 39 7/32
the answer is : 46 9/35
What is the answer for this
Answer: 4units^2
Step-by-step explanation:
B*H/2
4*2/2= 4
So 4units^2 is the area
Answer:
4 unit²
Step-by-step explanation:
Here,
base = 2
height = 4
Area of the triangle = 1/2 x base x height
= 1/2 x 2 x 4
= 4 unit²