Answer:
d) x + 3
Step-by-step explanation:
= x² + 5x + 6
Factorise :-
= x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3) [Taking common]
Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width
can you help me with these questions
Answer:
Girls: 50
Boys: 36
A) 60°
Step-by-step explanation:
86-14=72
72÷2=36
Girls=36+14=50
Boys=36
115+115+70=300
360-300=60°
Answer:
36 boys and 50 girls
the remaining angle measures 60°
Step-by-step explanation:
x = boy count
x + 14 = girl
x + x + 14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50
36 boys and 50 girls
the 4 angles of a quadrilateral = 360°
115° + 115° + 70° + x = 360°
300 + x = 360°
x = 360 - 300
x = 60°
The remaining angle measures 60°
Could someone help, please?
Answer:
Option B
Step-by-step explanation:
By using geometric mean theorem in the given right angle triangle RST,
[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]
[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]
[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]
ST² = 10.2 × 14.3
ST = [tex]\sqrt{145.86}[/tex]
ST = 12.077
ST ≈ 12.1
Therefore, Option B will be the correct option.
What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2
Find the area of this circle.
Use 3.14 to approximate .
A = ar2
14 ft
A = [ ? ] ft?
Answer:
A =153.86 ft^2
Step-by-step explanation:
First we need to find the radius
f = d/2 = 14/2 = 7
A = pi r^2
A = 3.14 ( 7)^2
A = 3.14 * 49
A =153.86 ft^2
simplify (csc x)^2 - 1
Answer:
Step-by-step explanation:
[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]
A penny is dropped from the top of the chrysler building(320 m high). How fast is it moving when it hits the ground? (no troll)
Answer:
I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.
Someone help me please & Thankyouu I appreciate it!
Answer:
The height is 10inches.
Step-by-step explanation:
[tex]A = \frac{1}{2}bh\\\\2A = 2 \times \frac{1}{2} bh \ \ \ \ \ \ \ [ \ multiply \ both \ sides by \ 2 ] \\\\2A = bh\\\\\frac{2A}{b} = \frac{bh}{b} \ \ \ \ \ \ \ \ [ \ dividng \ both \ sides \ by \ b ] \\\\\frac{2A}{b} = h[/tex]
[tex]\frac{2 \times 60 } {12} = h\\\\\frac{120}{12} = h\\\\10 = h[/tex]
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other
of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm 7
• 7 cm and 2 cm
•
8 cm and 9 cm
3514 1404 393
Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...
8 cm and 9 cm
Answer:
{D. 8cm & 9cm}Step-by-step explanation:
#CARRYONLEARNING
The equation of the circle having center (5, 4) and touching y-axis is
A. x 2 + y2 – 10x – 8y + 25 = 0
B. x 2 + y2 – 5x + 4y + 8 = 0
C. x 2 + y2 – 5x + 4y + 8 = 0
D. x 2 + y2 – 42 – 5y + 10 = 0
Answer:
None Of the Above.
Step-by-step explanation:
As we know that the general equation of circle is
( x - h )^2 + ( y - k )^2 = r^2
putting h=5 and k= 4 and r= 5
x² + 25 - 10x + y² +16 - 8y = 25
x² + y² - 10x - 8y + 16 = 0 is the answer.
I got this answer from Gauthmath its a really cool new app having solutions from tutor. Just scan questions and you can get answers from tutor.
you can get the app on Play Store or App Store. Or you can join their discord (Gauthmath_Homeworkhelp).
Identify the domain of the function shown in the graph.
O A X20
OBXSO
O c. xis all real numbers.
D-43XSO
Can someone please help me
Answer:
A x >= 0
Step-by-step explanation:
a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").
so, y = f(x)
and (x,y) are then usually the coordinates on the grid.
the domain is the range or interval of numbers the function is using (x) to create results (y).
so, look at the graph !
for what values of x do you see the functional line drawn ?
that means, the functional line goes along only what part of the x-axis ?
I see it starts at x=0 and then continues all the way to the right and clearly further.
for me that means f(x) calculates values for every positive x we can think of. and including 0.
it does not do anything for any negative x-values.
so, clearly answer A (x>=0) is right.
UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
Help and explain please :)))))))
Answer:
f(4.7) = 13.1
Step-by-step explanation:
essentially this is just 3x-1
plug in 4.7 for x... 3*4.7 = 14.1 then subtract 1 =
13.1
the issue is the || absolute value...
if the "X" x value is NEGATIVE in the problem, just remove the negative sign...
in other words f(-4.7) = 3(4.7) - 1
Answer:
13.1
Step-by-step explanation:
f(x) = 3|x|- 1, x= 4.7
f(4.7) = 3|4.7|- 1 *replace x with 4.7
= 14.1 - 1. *multiply 3 x 4.7
= 13.1. *subtract 1 from. 14.1
HELPPP URGENT!!!
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer.
Your answer:
Answer:
-68ft, or 68ft below sea level
Step-by-step explanation:
-72+4=-68
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
To know more about equation:
https://brainly.com/question/14603452
#SPJ3
Complete question is:
Solve the equation: (1/3)^2 + 3^2 =
I need help with this question it’s due today!
Answer:
15
Step-by-step explanation:
4:5
4 x 3 = 12 girls
5 x 3 = 15 boys
12:15
Answer:
D. 15
Step-by-step explanation:
4:5
4/5×3/3=12/15
12/15.....12 girls, 15 boys
:) ur welcome
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Step-by-step explanation:
câu trả lời là trong hình ảnh trên
need this ASAP! Thank you!
Answer:
[tex]\displaystyle r = 6 \ cm[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
V = 120π cm³
h = 10 cm
Step 2: Solve for r
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle 120\pi \ cm^3 = \frac{\pi}{3}r^2(10 \ cm)[/tex]Multiply: [tex]\displaystyle 120\pi \ cm^3 = \frac{10\pi}{3}r^2 \ cm[/tex][Division Property of Equality] Divide [tex]\displaystyle \frac{10\pi}{3} \ cm[/tex] on both sides: [tex]\displaystyle 36 \ cm^2 = r^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle 6 \ cm = r[/tex]Rewrite: [tex]\displaystyle r = 6 \ cm[/tex]Answer:
Radius of cone is 6 cm
Step-by-step explanation:
[tex]\sf\small\underline\purple{Given:-}[/tex]
[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]
[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]
[tex]\sf\small\underline\purple{To\: Find:-}[/tex]
[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]
[tex]\sf\small\underline\purple{Solution:-}[/tex]
To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.
[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]
[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]
[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]
[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]
[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]
[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]
[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]
[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]
[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]
[tex]\small \sf \leadsto6cm = r[/tex]
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
Anyone know the answer? Please and thank you
Answer:
x = 9
Step-by-step explanation:
Given 2 secants from an external point to the circle , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides
9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )
3x = 27 ( divide both sides by 3 )
x = 9
during a sale , a shop allows 20%
discount of the marked price of clothing . What will a costumer pay for a dress with a marked price of $30?
Answer:
$24
Step-by-step explanation:
original price of a dress = $30
discount = 20%
discount amount = discount% of original price
=20/100 * 30
=30/5
=$6
price that consumer will pay after discount = $30 - $6
=$24
Step-by-step explanation:
6$
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?
Answer:
85 + 12w =360
Step-by-step explanation:
What is the surface area of the rectangular prism below?
Answer:
108 in.
Step-by-step explanation:
SA = 2(lw + wh + lh)
SA = 2((6)(4) + (4)(3) + (6)(3)
SA = 2(24) + (12) + (18)
SA = 2(54)
SA = 108 in.
Answer:
108
Step-by-step explanation:
What is the approximate area of a circle with a radius of 6 m?
O A. 28.3 m2
O B. 18.8 m2
O c. 113 m2
O D. 38 m2
ID
Answer:
c. 113 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Using 3.14 as an approximation for pi
A = 3.14 ( 6)^2
A = 3.14 *36
A =113.04
In △FGH, L is the centroid. If LK = 19, find GL
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
Hello there, I need help with Angles.
Please help don’t understand at all.
Answer:
tringlae mixed witha football goal take the fool goal out and go from there
Step-by-step explanation:
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Is triangle XYZ = ABC ? If so, name the postulate that applies. A. Congruent - ASA B. Congruent - SAS C. Might not be congruent D. Congruent - SSS
Answer:
Option D
Step-by-step explanation:
If two triangles are said to be congruent then they have exactly the same three sides and the same three angles.
Since the option D indicates that all the three sides are equal (represented as SSS), Hence, it is the right answer
Answer:
congruent SAS
Step-by-step explanation:
Triangle NOP is similar to triangle QRS. Find the measure of side RS. Round your answer to the nearest tenth.
Answer:
22.1
Step-by-step explanation:
If the triangle is similar then the side lengths have common ratios
*Create ratio to solve for RS*
47.8/13 = RS/6
Now solve for RS
simplify
47/13 = 3.677
We now have 3.677 = RS/6
Multiply each side by 6
3.677 * 6 = 22.1
RS/6 * 6 = RS
we're left with RS = 22.1
construct triangle ABC such that AB =7cm,AC=5cm,and angle BAC=60°.Measure BC.
Answer:
(i) Steps of Construction :
(i) Draw a line segment AB = 7 cm.
(ii) At B, draw a ray making an angle of 60° and cut off BC = 5 cm
(iii) Join AC,
∆ABC is the required triangle.
(ii) Steps of Construction :
(i) Draw a line segment BC = 6 cm.
(ii) At C, draw a ray making an angle of 75° and cut off CA = 5.7 cm.
(iii) Join AB
∆ ABC is the required triangle
(iii) Steps of Construction :
(i) Draw a line segment AB = 6.5 cm
(ii) At A, draw a ray making an angle of 45° and cut off AC = 5.8 cm
(iii) Join CB.
∆ ABC is the required triangle.