Answer:
21.16 m^2
Step-by-step explanation:
perimeter of square=4l
18.4/4=l
4.6=l
area of square=l^2
=4.6^2
=21.16 m^2
Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
Find the value of x.
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].
Substitute,
[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]
Simplify,
[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]
Cross products,
[tex]5(x+2)=3(2x+2)\\[/tex]
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
[tex]5x+10=6x+6[/tex]
Inverse operations,
[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
Which letter in the word HAPPY has an order 2 rotational symmetry?
H
A
P
Y
Answer:Option 1) H
Step-by-step explanation:
Answer:
its H
Step-by-step explanation:
EDG 2021
Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
V=4
3πr3 is formula of this question
pls help pls pls pls
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
Reflection: Across the line y = -1
The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined
Answer: To me it (Zero) or (Undefined)
I need help please and urgent!
Answer:
the answer is blurry for me take a picture again
Step-by-step explanation:
Please help thanks this is due today!
D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅
Step-by-step explanation:
[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]
Note:-
[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]
[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
When f(n)=12, what is the value of n?
hey, another math question
Answer:
Step-by-step explanation:
By adjacent interior angles theorem,
If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.
a° + (3x - 18)° = 180°
a° = 180° - (3x - 18)°
By vertical angles theorem,
If two straight lines intersect each other at a point, opposite angles formed are equal in measure.
180° - (3x - 18)° = (5x - 10)°
(5x - 10) + (3x - 18) = 180
(5x + 3x) - (10 + 18) = 180
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= $64
She receives $16 when she pays for the calculator with a $100 bill
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A calculator which is marked at $120 is sold for cash at a 30% discount.
So, It was sold for 70% of its mark value assuming that to x.
∴ (70/100)×120 = x.
x = $84.
So, Susan will receive $(100 - 84) = $16.
learn more about percentages here :
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Help me please. NO LINKS
Answer:
A. 7986.45
[tex] \frac{4}{3} \pir3[/tex]
Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)
Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction
Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]
Direction is given by using figure i.e.
[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]
Direction is [tex]15.85^{\circ}[/tex] North of east
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
URGENT PLEASE HELP WILL GIVE BRAINLEIST !!!!!!!!!!
Answer:
4
Step-by-step explanation:
1 change in x and 4 change in y from 1,0 to 0,4 or 4/1
Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.
What are the solutions to the equation −2x=(12)x ?
Select each correct answer.
-2
-1
2
4
Answer:
-1 and -2
Step-by-step explanation:
The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
The functions are given as:
Function 1
f(x) = -(x - 4)² + 1
Function 2:
f(x) = -(x - 2)² + 5
A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum
The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.
Read more about quadratic functions at:
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complete question;
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).
Please help find the volume by using 3.14 as pi
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
Why is 31
less than 3 x 10?
Answer:
Step-by-step explanation:
Because 3x10=30 and 31 is greater than 30 by 1 more.
It's not. 3 times 10 is 30.
30<31
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answer:
The answer is D (6).
hope this helps!
I need help on this
Answer:
it is FH < HI
Step-by-step explanation:
can you help me get the answer for this Q :)
Answer:
sorry need some points
Step-by-step explanation:
49 + 710 is 10390.49 + 710 is 10390.
a band concert hall has 24 seats of which 18 are occupied what percent of the seats are occupied
Answer:
75%
Step-by-step explanation:
18/24 = .75
Answer:
75%
Step-by-step explanation:
18 / 24 = 0.75%
find the area of the circle. leave your answer in terms is pi.
a. 9
b. 324
c. 82
d. 18
Answer:
9
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong
Help a bab out with something, please?
Answer:
18
Step-by-step explanation:
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint. How many cans of white paint will she need to mix with 6 cans of blue?
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
[tex]\frac{3}{2} = \frac{?}{6}[/tex]
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.