Answer:
The correct solution is "10.92 meters".
Step-by-step explanation:
The given values are:
Center of the mirror,
= 1.22 meters
Base,
= 7.32 meters
Samantha's eye,
= 1.82 meters
Let the height of the building will be "x".
Now,
The height of the building will be:
⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]
By applying cross-multiplication, we get
⇒ [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]
⇒ [tex]=\frac{13.322}{1.22}[/tex]
⇒ [tex]=10.92 \ meters[/tex]
The perimeter formula for a rectangle is P=2L+2W. If the length of a rectangle is 2x^2+x-3 and the width is x+7, write an expression for the perimeter of the rectangle.
Answer:
P=(2x*2+x-3)L+ (x+7)2w
Step-by-step explanation:
Can someone explain if this is correct. I’m unsure!
Answer:
Step-by-step explanation:
Plz I need help with this question
Given m || n, find the value of x and y
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Solve 3x2+7x+1=0 using the quadratic formula.
Answer:
[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]
Step-by-step explanation:
This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]
[tex]3x^{2} +7x+1=0[/tex]
[tex]ax^{2} +bx+c[/tex]
[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a
[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)
[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6
[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
Enter a range of values for x.
=============================================================
Explanation:
Ignore the sides that are 'a' units long.
We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.
Symbolically, we would say
3x-9 < 93
At the same time, the 3x-9 is also larger than 0
So
3x-9 > 0 or 0 < 3x-9
Put together, we can form this compound inequality
0 < 3x-9 < 93
-------------------
Let's isolate x like so
0 < 3x-9 < 93
0+9 < 3x-9+9 < 93+9 .... add 9 to all sides
9 < 3x < 102
9/3 < 3x/3 < 102/3 .... divide all sides by 3
3 < x < 34
x is any number between 3 and 34, but cannot equal either endpoint
For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.
How many solutions are there to the system of equations graphed below if the lines are parallel?
Answer:
zero, or 0, or none. answer is A
Step-by-step explanation:
they never touch, just pick A
Answer:
0, the answer is a
Step-by-step explanation:
Write a function for:
The output is 5 less than twice the input.
O y= 1/2x-5
y=5 - 2x
O y=2x - 5
O y= 5x - 2
Answer:
Step-by-step explanation:
Let us have y as the output and x as the input
5 is less than twice the input
twice the input is x * 2 = 2x
so we have 2x-5
please help me im in need of serious help or ill flunk :(
Answer:
1. Interest: 15%
Amount owed: $500
2. Interest: 6%
Amount owed: $1,500
3. Interest: 18%
Amount owed: $12,500
4. Interest: 6%
amount owed: $5,000
Step-by-step explanation:
need help with this problem
Answer:
2
Step-by-step explanation:
20%---4
20%---4
20%---4
15%---3
15%---3
10%---2
4-2=2
Answer:
2 scoops
Step-by-step explanation:
Hi there!
What the question tells us:
There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?1) Determine the number of chocolate ice cream sales
The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.
20 × 20%
Change 20% into a decimal
= 20 × 0.2
= 4
Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.
2) Determine the number of strawberry ice cream sales
The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.
20 × 10%
Change 10% into a decimal
= 20 × 0.1
= 2
Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.
3) How many more of these scoops were chocolate than strawberry?
[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?
4 - 2 = ?
4 - 2 = 2
Therefore, 2 more of these scoops were chocolate than strawberry.
I hope this helps!
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....
Answer:
-6n + 11
Step-by-step explanation:
The difference between each number is 6 (-6)
If n=1 then -6n + 11 =5
If n=2 the (-6×2) + 11 = -1
If n=3 the (-6×3) + 11 = -7
and so on.
You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.
:]
Find the measurement of ∠PON
Congruent angle pairs : Find m
Answer:
75
Step-by-step explanation:
x+60 and 5x are vertical angles, which means they are equal
x+60 = 5x
Subtract x from each side
x+60-x = 5x-x
60 = 4x
Divide by 4
60/4 = 4x/4
15 =x
We want to find x+60
x+60
15+60
75
Answer:
∠GH = 75°
Step-by-step explanation:
x + 60° = 5x° ( vertical angles )
subtract x from both side
x - x + 60° = 5x - x
60° = 4x
divide each side by 4
60°/ 4 = 4x / 4
15 ° = x
To calculate, ∠GH
∠GH = x + 60 °
15 ° + 60° .. ( x = 15°)
= 75°
help with trigonometry plz
Answer:
Below,
Step-by-step explanation:
a. cos O = adjacent side/hypotenuse
= 88.3/117
= 0.75470
O = 41 degrees.
b. sin O = opposite side/hypotenuse
= 2.4/3.8
= 0.63158
O = 39 degrees
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
PLZZZZ NEED HELP!!!
Which answer choices correctly describe the points labeled A, B, and C in the box plot?
.
What is the solution set of 4x = y and 2x - y=0
Answer:
x = 0 , y = 0
Step-by-step explanation:
given:
[tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]
See image for question. Please show workings.
Sorry for the wobbly writing.
*freq= frequency.
Answer:
See below and attachedStep-by-step explanation:
Refer to the graph attached1. The mean is calculated using below table
Marks Frequencies Midpoint Product
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
35 to 39 3 37 111
Sum 80 1845
The mean is:
1845/80 ≈ 232. The mode is the midpoint of the tallest bar.
The mode is
(25 + 29)/2 = 273. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
Formula to calculate median:
L + ( (n/2 – F) / f ) * wwhere
L: The lower limit of the median group = 25 n: The total number of observations = 80 F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38 f: The frequency of the median group = 25 w: The width of the median group = 29 - 25 = 4Substitute values and calculate:
25 + ((80/2 - 38)/25) *4 = 25.32Fill the table using function rule y=-3x+3
Answer:
Step-by-step explanation:
To solve this you just need to plug in your x values into the equations.
For example if x = 3,
when you plug it in you would get:
y = -3(3) + 3
y= -9 + 3
y = -6
You can plug in the rest of the x values and fill out your table.
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
On a coordinate plane, point A is (negative 3, 4) and point B is (4, 3).
Point B is the result of a 180° rotation.
Point A and B have the same x-coordinate.
Point B is the result of a 90° counterclockwise rotation.
Point A and point B are the same distance from the origin.
Answer:
D
Step-by-step explanation:
I took Edgy 2021 test
Answer:
D
Step-by-step explanation:
What is special about the factored form of answer N-16x2 - 1?
Answer:
Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule
[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]
Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).
Answer:
(fog)(x)=6x-3
Step-by-step explanation:
In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).
[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]
I hope this helps! Let me know if you have any questions :)
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilize your skill with fraction to make correct calculations. You need to use 4/5 strawberries for a single pie, How many cups are needed for 2 pies?
Answer:
x=2.5 cups are needed for 2 pies
Step-by-step explanation:
4/5 or 0.8
Fraction form: 4/5x = 2 x= 5/4
Decimial form: 0.8x = 2 x = 2.5
Mixed number form: 2 1/2
Hope that helped :)
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answer:
janet would be 8 years old
Answer:
8
Step-by-step explanation:
Janet would be 8 cause yeah
f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de funcion
Answer:
Tipo de función: Función Constante o Función Polinómica de Orden Cero
Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]
Codominio: [tex]Ran \{f(x)\} = 4[/tex]
Asíntota: [tex]y = 4[/tex]
Raíces: No tiene.
Vértices: No tiene.
La tabla de valores y el gráfico se encuentran adjuntos al fondo.
Step-by-step explanation:
Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].
Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:
x -2 -1 0 1 2
y 4 4 4 4 4
What is the value of x
A. 100 B.50 C.25 D.35
Answer:
D
Step-by-step explanation:
I believe this is correct
Ayuda con estos ejercicios Porfavor es para Mañana
Malloy solved the equation-5x-16=8 his work is shown below. Identity the error and where it was made. Step 1: -5x-16+16=8+16 Step 2: -5x=24 Step 3: -5x/5=24/5 Step 4: x=24/5
Answer:
he divided both sides by 5 instead of -5 in his last step
Step-by-step explanation:
Given the expression solved by max expressed as;
-5x - 16 = 8
Step 1: Add 16 to both sides
-5x - 16 + 16 = 8 + 16
-5x = 24
Step 2:
Divide both sides by -5
-5x/-5 = 24/-5
x = -24/5
According to Malloy calculation, he divided both sides by 5 instead of -5 in his last step