Answer:
D
Step-by-step explanation:
example
length of R = 2
width of R = 3
Area = 3*2 = 6
length of T = 2 * 4 = 8
widht of T = 3 * 4 = 12
Area = 12 * 8 = 96
96 : 6 = 16
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!!!
Find all solutions of the equation in the interval [0, 2pi).
- 4 sinx= -cos²x+1
Write your answer in radians in terms of pi.
If there is more than one solution, separate them with commas.
Answer:
x = 0 , π
Step-by-step explanation:
[tex]-4 \sin x = 1 - cos^2 x[/tex]
Rewrite it by using the identity [tex]\sin^2x + \cos^2x = 1[/tex][tex]=> -4\sin x = \sin^2x[/tex]
Add 4sin x to both the sides.[tex]=> -4\sin x + 4\sin x = sin^2x + 4\sin x[/tex]
[tex]=> \sin^2x + 4\sin x = 0[/tex]
Take sin x common from the expression in L.H.S.[tex]=> \sin x(\sin x + 4)=0[/tex]
Here , we can get two more equations to find x.
1) [tex]\sin x(\sin x + 4)=0[/tex]
Divide both the sides by sin x[tex]=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}[/tex]
[tex]=> \sin x + 4 = 0[/tex]
Substract 4 from both the sides.[tex]=> \sin x + 4 - 4 = 0 - 4[/tex]
[tex]=> \sin x = -4[/tex]
[tex]=> x = No \; Solution[/tex]
2) [tex]\sin x(\sin x + 4)=0[/tex]
Divide both the sides by (sin x + 4)[tex]=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}[/tex]
[tex]=> \sin x = 0[/tex]
[tex]=> x = 0 \; , \pi[/tex] over interval [0 , 2π).
HELP ASAP PLEASE
What translation is made from f(x) = x to f(x) = (x + 3).
translation 3 units to the left
translation 3 units up
translation 3 units down
translation 3 units to the right
Answer:
3 to the left
Step-by-step explanation:
if it is the brackets it affects X and it usually is the opposite so if shown plus then it means to the left/ means minus
Answer:
translation 3 units up
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then
f(x) = x + 3
represents a translation of 3 units up
Latoya spent $36 on fruit at the grocery store. She spent a totahof $80 at the store. What percentage of the total did she spend on fruit?
Answer:
45%
Step-by-step explanation:
$80->100%
$36->x
x=36×100/80
x=45%
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.
hola regalo puntos corona para el que conteste primero
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Welp… Umh okay :D
It needed more characters…
how can I solve it which method should I use please answer me !
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.
What is the value of (-1/2) to the power of 4
Answer:
1/16
Step by Step Explanation:
If you multiply -1/2 · -1/2 · -1/2 · -1/2 you get 1/16.
6
(
p
+
6
)
−
3
(
p
+
3
)
Answer:
3p +27
Step-by-step explanation:
6( p+6) - 3(p+3)
Distribute
6p +36 - 3p -9
Combine like terms
6p -3p +36-9
3p +27
the answer to the question is 3p+27
What is the x-intercept of the function graphed below?
Answer:
It should be A.
Step-by-step explanation:
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°.
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√10Please 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.
pls help me answer this maths equation
Answer:
∠ ABC = 48°
Step-by-step explanation:
Since AC = AB , the triangle is isosceles with the 2 base angles being congruent , that is
∠ ABC = ∠ ACB = 4x
The sum ot the 3 angles in a triangle = 180°
sum the angles and equate to 180
4x + 4x + 7x = 180
15x = 180 ( divide both sides by 15 )
x = 12
Then
∠ ABC = 4x = 4 × 12 = 48°
which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3x-5=-2x+10?
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units
Step-by-step explanation:
Answer:
-15 = -5x
Step By Step:
Took the quiz
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
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 summit elevation of a volcano is the elevation of the top of the volcano relative to sea level. The summit elevation of the volcano Kliauea in Hawaii is 1227 meters. The summit elevation of the underwater volcano Loihi in the Pacific Ocean is -969 meters. Which summit is closer to sea level?
Answer:
volcano Loihi
Step-by-step explanation:
Distance between volcano top and sea level is the summit elevation :
Summit elevation of volcano kliauea = 1227 miles
Summit elevation of volcano Loihi = - 969 m
The summit closer to sea level is that whose absolute summit level elevation is smaller :
Absolute values :
volcano kliauea = 1227 m
volcano Loihi = |-969| = 969 m
969 < 1227
Hence, volcano Loihi is closer to sea level
the question is on the image
(explain each step)
==========================================================
Explanation:
All three angles must add to 180. This is true for any triangle.
x+x+110 = 180
2x+110 = 180
2x = 180-110 ... subtract 110 from both sides
2x = 70
x = 70/2 .... divide both sides by 2
x = 35
As a check: 35+35+110 = 180 which helps confirm the answer.
Answer:
Step-by-step explanation:
x + x + 110 = 180 degree (sum of interior angles of a triangle)
2x + 110 = 180
2x = 180 - 110
x = 70/2
x = 35 degree
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]
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
Can some one help me out with this please?
Answer:
GOD BLESS YOU
Step-by-step explanation:
The sum of three consecutive multiples of 9 is 567.
One of these multiples is
Factor Each Completely: x^2-15x+56
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
Please help!!!
The area of a rectangular region is 6.2 × 10^3 square feet. The length
of the rectangular region is 1.55 × 10^2 feet. How much does it cost to
surround the region with a border that costs $0.80 per foot?
Answer:
312
Step-by-step explanation:
First we need to determine the width
A = l*w
6.2 * 10 ^3 = 1.55 * 10 ^2 * w
Divide each side by 1.55 * 10 ^2
6.2 ^ 10 ^3 /1.55 * 10 ^2 = 1.55 * 10 ^2 * w / 1.55 * 10 ^2
Changing from scientific notation to standard
6200/155 = w
40 = w
Then we need to determine the perimeter
P = 2(l+w)
P = 2( 155+40)
P =2( 195)
P = 390
Now multiply by the price
390 *.80
312
express . 05 as a proper fraction in its lowest terms
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.
what does it mean to draw and label a line a line segment a ray and an angle
Answer:
A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)
A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)
A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)
An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:
1. Label the vertex (∠A)
2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)
3. Label the angle with a number or letter (∠1, ∠A)
