x²+12x+36
x²+6x+6x+36
x(x+6)+6(x+6)
(x+6)(x+6)
(x+6)²
Answer:
x + 6
Step-by-step explanation:
Find the measure of Angle ADE
Answer:
30°
Step-by-step explanation:
because the sum of all interior angles in a triangle is 180 degrees
180°= ∡ADE+∡DAE+∡AED
∡ADE = 180°-∡DAE -∡AED
because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)
∡AED =90
To find ∡DAE we need to find the value of y
11y+2 =90
11y =90-2
y=88/11
y=8
∡DAE=7y+4=7 ·8 +4= 56+4 =60°
now we know what we need to find ∡ADE
∡ADE = 180°-∡DAE -∡AED
∡ADE = 180°-60° -90°
∡ADE = 30°
What is the simplified expression for 2(x-5)?
2x
-10x
2x-10
2x+5
Answer:
2x-10
Step-by-step explanation:
2(x) - 2(5) = 2x - 10
Help!
Best answer brailiest.
Answer:
4
Step-by-step explanation:
4 * 2=8. Don't really know how else to explain it
amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
Answer:
$9,763
Step-by-step explanation:
Using the compund interest formula;
A = P(1+r)^t
A is the amount = $10,200
rate r = 6.5%= 0.065
time t = years
n = 1/365 ((daily compounding)
Substitute into the formula and get Pincipal P
10,200 = P(1+0.065(365))^5/365
10200 = P(1+23.725)^0.01369
10200 = P(24.725)^0.01369
10200 = P(1.0448)
P = 10200/1.0448
P = 9,762.6
Hence the amount invested is $9,763 to nearest dollars
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
Please help me ASAP!!!
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
4. Let g(x) = 2x and h(x) = x2 + 4.
Evaluate (hg)(-2).
20
-16
16
-12
Step-by-step explanation:
everything can be found in the picture
Brian earns 53 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Brian
earns in a week if he sells b books is given by the following function.
4(6) - 53 + b
How much does Brian earn in a week if he sells 34 books?
I need help with this one
Answer:
8
Step-by-step explanation:
7779.949783~7779.94978
Answer:
The missing digit is 8
Step-by-step explanation:
An educated guess, but i'm pretty sure it's right
the mass of an adult north pacific right whale is about 70,000 kg, or 7 x 10 4 kg. the mass of a male polar bear is about 700 kg, or 7 x 10 2 kg. about how many times more massive is the right whale than the polar bear?
suppose A and B are complementary angles, m a =(x-5) and m b= (2x+20). Solve for x and then find m a and m b
Answer:
4
Step-by-step explanation:
Help please me please please need explanation
9514 1404 393
Answer:
a) see attached
b) 1/3
Step-by-step explanation:
Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)
Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:
m = (rise)/(run) = 1/3 . . . slope of the line
Arwen has half as many pens as Adrienne. Adrienne gives Arwen 3 pens, but still has 6 more than
Arwen. How many pens did Arwen have originally?
log3 x+log3 (x+30)=log3 64
Answer:
x = 2
Step-by-step explanation:
[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]
-32 is rejected because in logarithms you cannot use negative value so x=2
Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number
9514 1404 393
Answer:
36
Step-by-step explanation:
Let the digits of the number be represented by t for the tens digit and u for the units digit.
u = 2t . . . . . . . . the units digit is twice the tens digit
2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse
Substituting for u, we have ...
2(10t +2t) = 10(2t) +t +9
24t = 21t +9 . . . . . . . . . . . collect terms
3t = 9 . . . . . . . . . . . . . subtract 21t
t = 3 . . . . . . . . . . . divide by 3
u = 2t = 6 . . . . find u
The number is 36.
Please help with khan academy!
Answer:
Let's imagine the image of the zoo.
The diameter is basically the length of the circle.
The penguin swam the radius.
To find the radius, we need to divide the diameter by 2.
The diameter is 20 meters.
20 [tex]\div[/tex] 2 = 10 meters.
2 x pi x 10 = 62.83185307
62.83185307/2 = 31.41592654
Answer = 31.41592654
Answer:
The distance through which penguin swim = 10π meters
Step-by-step explanation:
The island is given to be in a shape of circle and the distance around any circle is known as circumference.
The diameter of the island = 20 meters
So, to find the distance traveled by penguin we need to find the circumference or the circular island.
⇒ Circumference = π·diameter
⇒ Circumference = π × 20
= 20π meters
Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.
Distance traveled by penguin = 1/2 × 20π = 10π
The distance through which penguin swim = 10π meters
Find the measurements of ZBOC.
A
5xº
A
B
(2x+20)°
C
O ZBOC= 40
O ZBOC = 10
O ZBOC= 50°
O ZBOC= 90°
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
x²+y²=2
xy=1
x+y= ?
Answer:
2 or -2
Step-by-step explanation:
x²+y²=2
(x+y)²-2xy=2
(x+y)²=4
x+y=±2
Um terreno retangular possui o comprimento cinco vezes maior que a largura. Sabendo que o perímetro desse terreno é igual a 180 metros, a largura e o comprimento medem, respectivamente: * 30 m e 150 m 75 m e 15 m 15 m e 75 m 150 m e 30 m 90 m e 90 m
Responder:
15 m e 75 m
Explicação passo a passo:
Deixar :
Largura = x
Comprimento = 5x
Perímetro = 180
Já o terreno tem uma forma retangular; usamos a relação;
Perímetro = 2 (comprimento + largura)
180 = 2 (5x + x)
180 = 2 (6x)
180 = 12x
180/12 = x
15 = x
Largura = x = 15 metros
Comprimento = 5x = 15 * 5 = 75 metros
Medida de largura e comprimento, respectivamente:
15 m e 75 m
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 63.8°
Step-by-step explanation:
[tex]tan x = \frac{opposite}{adjacent} \\\\tan x = \frac{5.9}{2.9}\\\\x= tan^{-1} (\frac{59}{29})\\\\x = 63.82 = 63.8[/tex]
The measure of the angle [x] is equivalent to 26.6°.
What is triangle? What is similarity of triangles?A triangle is a polygon with three edges and three vertices. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.If two triangles are similar, then the ratio of their corresponding angles and sides are in same proportion.Given is a triangle ΔPON as shown in the image.
From the triangle ΔPON, we can write -
tan (x°) = ON/OP
tan (x°) = (5.9/2.9)
tan (x°) = (59/29)
tan (x°) = 2.1
x° = tan⁻¹ (2.1)
x° = 26.6°
Therefore, the measure of the angle [x] is equivalent to 26.6°.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
The banquet room is being carpeted. A floor plan of the room is shown below. Each unit represents 1 yard. The carpet costs $23.50 per square yard. How much will it cost to carpet the room?
Answer:
144.84
Step-by-step explanation:
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
"A floor plan of the room is shown below. "
You failed to provide the floor plan so it is not possible to answer your question.
The surface areas of the two solids shown above are equal.
A. True
B. False
Answer:
True.
Step-by-step explanation:
first solid
A=72
second solid
A= 72
Answer:
True
Step-by-step explanation:
Both the surface areas = 72.
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t - 4 (2 + t) = 20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer: t=-8
Step-by-step explanation:
1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8
In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.
Given:
In circle F, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units.
To find:
The length of arc EG.
Solution:
It is given that, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ }[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle in degrees.
Putting [tex]r=16,\ \theta=122^\circ,\ \pi=3.14[/tex], we get
[tex]s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }[/tex]
[tex]s=100.48\times \dfrac{61}{180}[/tex]
[tex]s=34.0515556[/tex]
[tex]s\approx 34.05[/tex]
Therefore, the length of arc EG is 34.05 units.
Type the correct answer in the box. Use numerals instead of words. Consider the logarithmic function f(x)=log^10(x) The values of f(50) rounded to the nearest hundredth is____
Answer:
1.70
Step-by-step explanation:
Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.
Given that f(x) = log₁₀(x)
To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:
f(50) = log₁₀(50)
f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5) = 1 + 0.70
f(50) = 1.70
Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=17 c = 17 C. M∠C=34 m ∠ C = 34 , b=22 b = 22 , c=17 c = 17 D. M∠C=34 m ∠ C = 34 , b=27.9 b = 27.9 , c=16 c = 16
Answer:
[tex]A = 43.0^o[/tex]
[tex]B = 55.0^o[/tex]
[tex]BC = 20.0[/tex]
Step-by-step explanation:
I will solve this question with the attached triangle
From the attachment, we have:
[tex]\angle C =82^o[/tex]
[tex]AB = 29[/tex]
[tex]AC = 24[/tex]
Required
Solve the triangle
First, we calculate [tex]\angle B[/tex] using sine law:
[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]
[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]
Cross multiply
[tex]\sin(B) * 29 = 24 * 0.9903[/tex]
[tex]\sin(B) * 29 = 23.7672[/tex]
Divide both sides by 29
[tex]\sin(B) = 0.8196[/tex]
Take arcsin of both sides
[tex]B = \sin^{-1}(0.8196)[/tex]
[tex]B = 55.0^o[/tex]
Next, calculate [tex]\angle A[/tex] using:
[tex]A + B + C = 180^o[/tex] --- angles in a triangle
[tex]A + 55^o + 82^o = 180^o[/tex]
Collect like terms
[tex]A = 180^o-55.0^o - 82^o[/tex]
[tex]A = 43.0^o[/tex]
Next, calculate BC using sine laws
[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]
[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]
Make BC the subject
[tex]BC = \frac{29*0.6820}{0.9903}[/tex]
[tex]BC = 20.0[/tex]
please help!! I'm super confused
===================================================
Explanation:
Check out the diagram below. I've drawn a horizontal line to split the orange region into two parts: a triangle on top and a rectangle down below.
The triangle has base 11 cm and height 7 cm. The area is base*height/2 = 11*7/2 = 77/2 = 38.5 sq cm.
The rectangle has area 11*8 = 88 sq cm.
The total area of the entire orange figure is 38.5+88 = 126.5 square cm
What is the centimeters?
can someone explain and answer this for me??
PLEASE HELP MEE!!
Shawntae has 21 coins, a combination of nickels and dimes. The total value of her coins is $1.70.
How many of each coin does Shawntae have?
a. Define the variables and then write a system of equations that represent the situation.
(2 points)
b. Solve the system using either the substitution or elimination method. Show your work.
2 points)
C. In a complete sentence, how many nickels and how many dimes does Shawntae have?
(2 points)
Answer:b im not sure
Step-by-step explanation:
ur welcome .
By using substitution method, the number of nickels is 8 and the number of dimes is 13.
What is substitution method?The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.
Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.
n + d = 21
5n + 10d = 170
We use the first equation to derive a value for n.
n + d = 21
Subtract d from each side.
n + d - d = 21 - d
n = 21 - d.........................(1)
We now simplify the second equation by dividing all terms by 5.
5n + 10d = 170
[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]
n + 2d = 24
substitute n = 21 - d in above equation
(21 - d) + 2d = 24
21 -d +2d = 24
21 + d = 24
d = 24 - 21
d = 13
n = 21 - d
n = 21 - 13
n = 8
Thus, the number of nickels is 8 and the number of dimes is 13.
Find out more information about substitution method here:
https://brainly.com/question/14619835
#SPJ2