Answer:
consider r to be x. and t to be y
[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]
The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help
Answer:
27,29
Step-by-step explanation:
ABCD is a parallelogram. Find x and the length of CD.
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
7m + 3mn
when m = 3 and n = -4
Answer:
-15
Step-by-step explanation:
When m=3 and n=-4
So, put the values
7(3)+3(3)(-4)
-> -15
Answer:
-15
Step-by-step explanation:
= 7(3) + 3(3)(-4)
= 21 + 3(3×-4)
= 21 + 3(-12)
= 21 + -36
= 21-36
= -15
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
What number do the blocks represent?
Write your answer as a decimal.
Mindy is making a wood desk. Pour choices of wood and the cost for different lengths are shown in the table.
Type of Wood Cost per Length Length
$4.97 1 m
Maple $0.07 1 cm
Oak
$15.99 2 m
Walnut
$0.98 1 din
Which type of wood has the LEAST expensive price per unit length? (Note: 100 cm = 10dm = 1m)
O A Ash
OB Maple
Oc Oak
ОО
D. Walnut
Answer:
Step-by-step explanation:
A
What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5
Answer:
The lead coefficient is 8
Step-by-step explanation:
This is because it is the biggest number that is right before the x or that is the coefficient.
The leading coefficient of the polynomial is given by C = 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = 3x² + 8x + 5
On simplifying the equation , we get
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3
Hence , the lead coefficient of this polynomial is 3
To learn more about polynomial equations click :
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Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²
How long will it take $10,000 to double at 11% simple interest? (Round to the nearest year)
Answer:
[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]
Given A =20000
[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]
T =9years
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
A tank contains 40 gallons of a solution composed of water and bleach. At the start there are 4 gallons of bleach in the tank. A second solution containing half water and half bleach is added tothe tank at the rate of 4 gallons per minute. The solution is kept throughly mixed and drains from the tank at the rate of 4 gallons per minute.
(a) How much blcach is in the tank after t minutes?
(b) Will there be at least 14 gallons of bleach in the tank after 10 minutes?
(c) How much bleach will there be in the tank after a very long time has passed?
Answer:
a) x* e∧ t/10 = 20 *e∧ t/10 + 2
b) x = 14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank
c) After a very long time we will find 20 gallons of bleach in the tank
Step-by-step explanation:
The variation of bleach in water in the tank is Δ(x)t:
Δ(x)t = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt
Now the amount of x added to the tank is:
Rate of adding* the concentration
Rate of adding = 4 gallons per minute
Concentration half and half ( water + bleach) = 0,5
Rate of draining = 4 gallons per minute
Concentration of draining: Unknown but can be expressed as:
x(t)/40. According to this
Δ(x)t = [4 * 0,5 - 4 * x(t)/40]*Δt
Dividing by Δt on both sides of the equation and tacking limits we get
dx/ dt = 2 - x / 10
dx/dt + x/10 =2
Multyiplying by e∧ t/10 on both sides
e∧ t/10* [ dx/dt + x/10 ] = 2 *e∧ t/10
To solve it, integrating the first member is
x* e∧ t/10 = 20 *e∧ t/10 + C
for initial condition t = 0
4 = 20 + C
C = -16
a) x* e∧ t/10 = 20 *e∧ t/10 - 16
b) in 10 minutes
x* e∧ t/10 = 20 *e∧ t/10 - 16
x *e = 20*e - 16
x = 20 - 16/e
x = 20 - 16/2,718
x = 20 - 5,88
x = 14,2 gallons.
c) After a very long time we will find 20 gallons of bleach in the tank
Solve for x. Show your work.
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
the correct answer is 1ft
Step-by-step explanation:
4ft-3ft
=1ft
Which expression is equivalent to 1/3b - 7
Answer:
The answer Is 1/3(b-21)
Step-by-step explanation:
what is the answer (x + 3)2 – 5 = 0
x= -1/2 is the answer to your question. Mark as brainliest!!!!
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Answer: 3¼ hours
Step-by-step explanation:
Number of hours used in baking = 2¾ hours
Number of hours used in cleaning up the kitchen = ½ hour
Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:
= 2¾ + ½
= 2 3/4 + 2/4
= 2 5/4
= 2 + 1¼
= 3¼ hours
Therefore, 3¼ hours was used in the kitchen.
J.UIV1.2.2 DUN 2 formative Jackson, Braddyn OO 10 1 Abox, shaped like a rectangular prism, is shown below. 2 in. 8 in. 10 in. What is the surface area of the box? 232 square inches 160 square inches 116 square inches O 96 square inches ?
Answer:m
Step-by-step explanation:
Pleaseeeeeeeeee helppppp
Find the value of x. Round the lengths to the nearest tenth of a unit.
Please help!
Answer:
the other angle equal 52
we can use the specail trangle 3 4 5
300 400 500
the 38 degrees angle meet 300
and the 52 degrees angle meet 400
so the answer is 300 i dont know if you understand but i hope you are
pls ask in the comments and i will try to explain because my ebgilish the baddest
What additional piece of information
would prove ALMK = ANMK by
Side-Angle-Side?
Answer:
MK bisects <LKN
Step-by-step explanation:
We can already say two sets of sides are equal; LK = NK because it is given and MK = MK because of reflexive property. In order to use Side-Angle-Side, we need to prove the angles between the sides are congruent. This means <LKM and <NKM. The only option that would help is with the is the lat option, MK bisects <LKN because, then we could say <LKM and NKM are congruent because MK would be an angle bisector. This is exactly what we want, so the answer is MK bisects <LKN.
find the area of the figure
area: units2
Answer:
Area of the figure = 25 square units
Step-by-step explanation:
Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF
Area of ΔCDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(CE)(DK)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 units²
Area of rectangle BCEI = Length × Width
= CE × EI
= 8 × 1
= 8 units²
Area of ΔABH = Area of ΔGIF = [tex]\frac{1}{2}(1)(1)[/tex]
= [tex]\frac{1}{2}[/tex] units²
Area of the complete figure = 16 + 8 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
= 25 units²
OLEASE HELP
Which number produces a rational number when added to 1/2
A. 5.38516480...
Β. π
c. √ 10
D. 0.22
Answer:
i donot know appp lado app
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Please Help if you can!! I also have more questions in my profile!
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
Use OZ with VWXY
What is XY ?
A 30
B. 35
C. 40
D. 50
Answer:
Step-by-step explanation:
Chords having equal measures are equidistant from the center of the circle.
Since, VW = XY
Therefore, ZP = ZR = 15 units
A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.
VR = WR = 20 units
By applying Pythagoras theorem in ΔZRV,
ZV² = ZR² + VR²
ZV² = (15)² + (20)²
ZV = √(225 + 400)
ZV = √625
ZV = 25 units
Therefore, measure of radius ZV = 25 units.
VW = XY [Given]
Therefore, XY = 2(20)
= 40 units
-3x+15y=-30
-4x+5y=5
Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
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Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.