Answer:
If we are solving x + 5< 6 the inequality is x< 1
Step-by-step explanation:
If helps mark as brainllest please!!!
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
38. In a right triangle, if one acute angle has measure 8x + 5 and the other
has measure 4x + 9, find the larger of these two angles.
55.67
62.4
57.92
64.61
None of the above
We know that : The Sum of the angles in a triangle should be equal to 180°
Given : The Triangle is a Right angled Triangle
It means : One of the Angle in the triangle is 90°
It means : The sum of the other two angles should be equal to 90°
Given : One acute angle is 8x + 5 and the other one is 4x + 9
⇒ 8x + 5 + 4x + 9 = 90°
⇒ 12x + 14 = 90°
⇒ 12x = 76°
⇒ x = 6.333°
The larger angle among the acute angles is 8x + 5
⇒ 8(6.333) + 5
⇒ 50.67 + 5
⇒ 55.67
[tex]\huge\bold{Given :}[/tex]
Angle 1 = ( 8x + 5 ) ...(i)
Angle 2 = ( 4x + 9 ) ...(ii)
Angle 3 = 90° ( ∵ it is a right-angled triangle )
[tex]\huge\bold{To\:find :}[/tex]
The value of the larger angle of the two acute angles.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]{\boxed{\mathcal{\red{ A. \:55.67° .\:}}}}[/tex]. ✅
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 8x + 5 + 4x + 9 + 90° = 180°
➪ 12x + 104° = 180°
➪ 12x = 180° - 104°
➪ 12x = 76°
➪ x = [tex] \frac{76° }{12} [/tex]
➪ x = 6.333°
The value of x is 6.333°.
Now,
Substituting the value of x in eq. (i) & (ii), we have
Angle 1 = 8x + 5
= 8 x 6.333 + 5
= 50.666 + 5
= 55.67°
Angle 2 = 4x + 9
= 4 x 6.333 + 9
= 25.332 + 9
= 34.332°
Clearly, angle 1 is greater than angle 2.
Therefore, the value of the larger angle of the two acute angles is 55.67°.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Quadrilateral QRST is a parallelogram. Solve for x (3x+5) (9x-17)
Given:
Consider the below figure attached with this equation.
Quadrilateral QRST is a parallelogram.
To find:
The value of x.
Solution:
We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.
In parallelogram QRST,
[tex]m\angle Q+m\angle T=180^\circ[/tex]
[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
On comparing both sides, we get
[tex]12x-12=180[/tex]
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=\dfrac{192}{12}[/tex]
[tex]x=16[/tex]
Therefore, the value of x is 16.
I need help with this quickly, I only have a couple hours left before homework is gone.
last day of school is tomorrow....
please answer quickly..
It only has one x intercept
Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept
tan150 cos135 cos100÷sin585 cos150 sin170
Answer:
-0.66
Step-by-step explanation:
use the calculator
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
Can some one help me out with this please?
Answer:
GOD BLESS YOU
Step-by-step explanation:
A 23 foot ladder is leaning against a wall. The angle of elevation of the ladder with the ground is `58\ degrees.` How far away is the bottom of the ladder from the bottom of the wall? Round your answer to the nearest hundredth.
Answer: 12.19 ft
Step-by-step explanation:
Given
Length of ladder is [tex]23 ft[/tex]
Angle of elevation is [tex]58^{\circ}[/tex]
Suppose the bottom of the ladder is x ft away from the bottom of the wall
from the figure, we can write
[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]
Thus, the distance is 12.19 ft
hola regalo puntos corona para el que conteste primero
nooooooooooooooooooooooooo
Welp… Umh okay :D
It needed more characters…
If 5400=54(100x+54), then x=?
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
Mai goes running Monday , Wednesday , and Friday of each week . Each Monday she runs 3.5 miles , each Wednesday she runs 5.5 miles , and each Friday she runs 7.25 miles . How many total miles does she run in 8 weeks ?
Answer: 130 miles
Step-by-step explanation:
Given
Mai goes running Monday, Wedenesday and friday
For Monday it is 3.5 miles
For Wednesday it is 5.5 miles
For Friday it is 7.25 miles
Total distance traveled in a week
[tex]\Rightarrow 3.5+5.5+7.25\\\Rightarrow 16.25\ \text{miles}[/tex]
For 8 week it is
[tex]\Rightarrow 16.25\times 8\\\Rightarrow 130\ \text{miles}[/tex]
The slope of the line passing through the points (6, -1) and (7, -2) is
-3
-1
1
Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answer:
k
Step-by-step explanation:
What is the x-intercept of the function graphed below?
Answer:
It should be A.
Step-by-step explanation:
Let a = -4.82 and b = 4.35. All of the following statements are true except
The sum of a and b is negative.
The product of a and - b is positive.
The quotient of a and - b is the same as the quotient of - a and b.
The distance between a and b on the number line is 0.47 units.
Answer:
the sum of -4.82 and 4.35 = -0.47
so a is correct
the product of -4.82 and 4.35 = -20.967
so b is incorrect
the quotient of -4.82 and -4.35 is 1.10804597701
the quotient of 4.82 and 4.35 is 1.10804597701
so c is correct
if we subtract 4.35 from -4.82 we get -9.17
so d is incorrect
Hope This Helps!!!
Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
Question and choices are in the photo please explain the answer
Answer:
B.) 33°
Step-by-step explanation:
The size of x in degrees is 33°.
If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
Please help with this math problem
[tex]x=2+½*\sqrt{10} [/tex]
or
[tex]x=2-½*\sqrt{10} [/tex]
Answer:
Solution given:
y=2x²-5x+6.....[1]
y=3x+3.........….[2]
solving equation 1&2
2x²-5x+6=3x+3
2x²-5x-3x+6-3=0
2x²-8x+3=0
comparing above equation with ax²+bx+c=0 we get
a=2
b=-8
c=3
by using quadratic equation
[tex]x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}[/tex]
[tex]x=\frac{+8±2\sqrt{10}}{4}[/tex]
taking positive
[tex]x=\frac{+8+2\sqrt{10}}{4}[/tex]
[tex]x=2+½*\sqrt{10} [/tex]
taking negative
[tex]x=2-½*\sqrt{10} [/tex]
Equate
2x²-5x+6=3x+3=02x²-8x+3=0Solve for x
x=8±√64-4(2)(3)/4x=8±√64-24/4x=8±√40/4x=8±2√10/4x=2±1/2√10how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+232x+134
Answer:
Step-by-step explanation:
when it touch the ground,y=0
-16x²+232x+134=0
-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134
-16(x-29/4)²-16(-861/16)=-134
-16(x-29/4)²+861=-134
-16(x-29/4)²=-134-861
(x-29/4)²=-995/-16=995/16
x-29/4=±√995/4
rejecting negative sign
x=29/4+√995/4=(29+√995)/4≈15.14 second
Patrick wants to buy a new computer. He already has $275 saved and plans to save $125
each month. The price of the computer is currently $1,850, but Patrick expects the price
to drop by $100 each month. Patrick wants to determine the number of months he will
need to save.
.
If x represents the number of months, then write an equation to represent A, the total
amount Patrick saves.
If x represents the number of months, then write an equation to represent C, the cost of
the computer.
.
Use your equations from part “a” and part “b” to determine how many months he will
need to save before he can buy the computer. Show your work or explain how you got
your answer
Answer:
The answer is below
Step-by-step explanation:
The equation for a linear function is given as:
y = mx + b
where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.
a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:
A = -100x + 1850
The price reduces by $100 each month, while the initial price is currently $1,850.
B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:
C = 125x + 275
The price increases by $125 each month, while the initial price is currently $275.
C) To determine the amount time needed before he can buy the computer, we use:
A = C
-100x + 1850 = 125x + 275
125x + 100x = 1850 - 275
225x = 1575
x = 7
Therefore it would take 7 months before he can buy a computer
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
Read more on perimeter of rectangle at; https://brainly.com/question/17297081
Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 12x + 18[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]
Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,
[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = 2 \: ( x + 3)(x + 3)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
What’s the answer to this helpppp pleaseee
Answer:
Y= -1x-1
Step-by-step explanation:
The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1
Please help I’ll give brainliest
b is correct Step-by-step explanation: i took the test
Answer:
There are 6 significant figures in the numbers 1.00421
Step-by-step explanation:
Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.
Hope this help
Pls mark me brainliest.
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
Un buzo profesional está explorando el fondo marino a 48 metros bajo el nivel del mar (−48 m). Al volver a la superficie del mar (0 m), debe hacer pausas de seguridad que evitan cambios bruscos de presión: debe subir nadando verticalmente 8 metros en un minuto, detenerse durante 5 minutos, luego volver a subir 8 metros en un minuto, y así hasta llegar a la superficie.
Respuesta:
31 minutos para llegar a la superficie del mar.
Explicación paso a paso:
Dado que :
Profundidad inicial = 48 m
8 metros = 1 minuto
Tiempo de parada por cada minuto de nado vertical = 5 minutos
Por lo tanto,
1 minuto = (48 - 8) = 40 metros
Tiempo de parada = 5 minutos
1 minuto = (40 - 8) = 32 metros
Tiempo de parada = 5 minutos
1 minuto = (32 - 8) = 24 m
Tiempo de parada = 5 minutos
1 minuto = (24 - 8) = 16 m
Tiempo de parada = 5 minutos
1 minuto = (16 - 8) = 8 m
Tiempo de parada = 5 minutos
1 minuto = 8 - 8 = 0 (superficie del mar)
(1 * 6) minuto + (5 * 5) minuto
6 + 25 = 31 minutos
31 minutos para llegar a la superficie.
express . 05 as a proper fraction in its lowest terms
