Answer:
AB=36
Step-by-step explanation:
BC=AC
AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36
How do you find the angle using a protractor
Answer:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
Step-by-step explanation:
Hope this helps!! :))
work out the answer of the given fractions 3/12+1/6=
How fast can you screw 800 nails in 60 different random locations
Polly is comparing the cost of cell phone services. The phone she wants costs $899 at BT&T Cellular, and the unlimited calling plan through their carrier would cost $2 per day. At Revizon Electronics, Polly could purchase the same phone for $799 and also get an unlimited calling plan for $3 per day. After some number of days, the two options would end up having the same total cost. What would the total cost be? How long would that take?
Answer:
The total cost = $1,099
It would take 100 days
Step-by-step explanation:
Let
x = number of days
Cost of BT&T Cellular = 899 + 2x
Cost of Revizon Electronics = 799 + 3x
Equate the cost of both cell phone services.
899 + 2x = 799 + 3x
899 - 799 = 3x - 2x
100 = x
x = number of days = 100 days
Cost of BT&T Cellular = 899 + 2x
= 899 + 2(100)
= 899 + 200
= $1,099
Cost of Revizon Electronics = 799 + 3x
= 799 + 3(100)
= 799 + 300
= $1,099
ava,jayden,edwina,lexi,luis, and trina are helping clean up a hiking trail during the summer. The trail is 10 miles long. Edwina, lexi, and luis plant a tree every 1/4 of a mile along the trail. Write and evaluate a division expression to find the number of trees they will plant.
Answer:
120 trees
Step-by-step explanation:
4x10=40
40x3=120
120 trees will be planted
The function is defined by the following rule.
f(x)=2x+4
Complete the function table.
Answer:
-3 -2
-2 0
-1 6
3 10
4 12
Step-by-step explanation:
f(x)=2x+4
Let x = -3 f(-3) = 2*-3 +4 = -6+4 = -2
Let x = -2 f(-2) = 2*-2 +4 = -4+4 = 0
Let x = -1 f(1) = 2*1 +4 = 1+4 = 6
Let x = 3 f(3) = 2*3 +4 = 6+4 = 10
Let x = 4 f(4) = 2*4 +4 = 8+4 = 12
PLS HELP Find the value of x.
A. 30
B. 15
C. 45
D. 6
Answer:
B.
[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
[tex]y=\frac{6}{5}x-5[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the two given points (0,-5) and (5,1)
[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]
Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{6}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{6}{5}x+b[/tex]
On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:
[tex]y=\frac{6}{5}x-5[/tex]
I hope this helps!
Answer:
y = 6/5x - 5
Step-by-step explanation:
To find the equation of a linear line you need 2 things: the slope and the y-intercept.
The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.
The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.
So you get y = 6/5x - 5.
Here is standard form too if you need this instead: 6x - 5y = 25
Which graphs represent functions with the following key features?
positive on ()
increasing on ()
approaches 0 as x approaches
Graph U
Graph V
Graph W
Graph X
Graph Y
Graph Z
Answer:
Graph U
Step-by-step explanation:
A graph is used to illustrate the relationship between variables.
For graph U:
Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.
For graph V:
Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.
For graph W:
Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.
For graph X:
Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞
For graph Y:
Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.
For graph Z:
Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞
can u help me part 3..
Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?
Complete question:
Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?
Answer:
His average speed is 19.2 mph
Step-by-step explanation:
Given;
speed of Anty to school half of the way, v₁ = 12 mph
speed of Anty when his mother drove him half of the way, v₂ = 48 mph
The average speed of Anty is calculated as;
[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]
The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.
Let the equal distance travel at each speed = 96 miles
Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]
Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]
Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]
Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.
Check: let the equal distance traveled at each speed = 480 miles
Time taken at 12 mph = 480/12 = 40 hours
Time taken at 48 mph = 480/ 48 = 10 hours
Average speed = (480 + 480) / (40 + 10)
= 19.2 mph
Which equation is equivalent to
y-1= 5(x+2) ?
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
HELPPP PLEASE!!!!!!!!!!
Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000
Answer:
$19,000
Step-by-step explanation:
The original or initial price of the car = discount price + amount by which the car was reduced
$16,000 + $3000 = $19,000
The percentage decrease in price = (amount discounted / original price) x 100
( $3000 / $19,000) x 100 = 15.79%
If 8 subtracted from the product of 3 and a number the result is 10. Find the number
please help with the question above!!
Answer:
5
Step-by-step explanation:
1+2+2+3+3+3+4+5+6+6+7+7
+7+8+9 = 73
73/15 = 4.86667
you add all the numbers and divide by how many numbers there were.
so round it up and it should be 5.
Change the units up above to the correct answer from (a) to (d)
Answer:
Step-by-step explanation:
1 cm = 10 mm
a) 0.1 cm = 1 mm
1 mm = 1000 m
b) 25000mm = 25 m
1 g = 0.001 kg
c) 7g = 0.007 kg
1ml = 0.000001
d) 30000ml = 0.03 kl
POSSIBLE POINTS: 6.67
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator is
in degree mode!
24
46
Y
Show work please
Answer:
x ≈ 33.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin46° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × sin46° = 24 ( divide both sides by sin46° )
x = [tex]\frac{24}{sin46}[/tex] ≈ 33.4 ( to the nearest tenth )
Oceans are what percentage of the hydrosphere?
a. 71%
b. 87%
c. 99%
d. 97%
Answer:
71%
Step-by-step explanation:
hydrosphere and biosphere both make sense, but from many searches, it says that at least 70% of Earths SURFACE is covered in water (not describing how deep the water is), so the greatest estimate yet would be 71%
ILL GIVE BRAINLIEST IF ANSWERED GOOD. DUE IN AN HOUR.. Write a quadratic equation that is the same width as y = -2x^2+ x + 1.
Answer:
The answer is:
y=-2x+2+x+1
y=_2x+x+2+1
y=x+3
Hope it helps
In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.
The value of AD will be 15 cm.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Please help me with this
Answer:
V ≈ 254.5 in³
Step-by-step explanation:
The volume (V) of the cylindrical tube is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )
A laptop computer is purchased for $2050. After each year, the resale value decreases by 30%. What will the resale value be after 4 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answer:
492.205
$492
Step-by-step explanation:
2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.
The resale value of the laptop after 4 years will be approximately $492.
How to calculate the resale value?To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.
b = a x (1 - decrease rate)ⁿ
As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:
new value = $2050 x (1 - 0.30)⁴
Simplifying this expression gives us:
new value = $2050 x 0.70⁴
new value = $2050 x 0.2401
Which simplifies to:
new value = $492.205
Rounding this result to the nearest dollar gives us $492.
Therefore, the resale value of the laptop after 4 years will be approximately $492.
To learn about the markup rate click here:
brainly.com/question/11999225
#SPJ2
Based on the figure, select all true equations.
0
A.cos(42) =
B. cos(48) =
C. sin(42) =
D. sin(48)
E. tan(42) -
F. tan(48) =
Answer:
sin c
Step-by-step explanation:
Based on the figure, The true equations are, B. cos48° = b/c,
C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know, The sum of all the interior angles in a triangle is 180°.
So, The m∠B = 180° - 90° - 48° = 42°.
Now according to reference angles, we'll obtain the trig ratios.
cos42° = a/c.
cos48° = b/c.
sin42° = b/c.
sin48° = a/c.
tan42° = b/c.
tan48° = a/c.
learn more about trig ratios here :
https://brainly.com/question/14977354
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In a 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.
T=Tens
U=Unit
From the question... The Unit digit is twice the Tens digit
Let the Number be xy
Meaning
y is the unit number
x is the tenth Number
Can be inferred for the question that
y=2x ...........(i)
Also
If the Number is doubled x2(times 2)
"It'll be 9more than the reversed"
Now listen
if you want to express a 2digit Number...
Let's say 45...
It can be expressed as 10x4 + 5 = 45
or
66 can be expressed as 10x6 + 6 = 66
So
It'd be better if we express this our unknown number like that too
So
Let's express "xy" like "10x + y"
Hope you grab?
Now from the second statement of the question..
If The Number is doubled...It'll be 9 more than the reversed
What is the reverse of that Number??
The reverse would be "10y + x"
You can see that x and y switched places.
so
The statement said...
2(10x + y) + 9 = 10y + x (reversed)
20x + 2y + 9 =10y + x ........(ii)
Recall from our first eqn
y=2x
Now substitute y=2x into eqn ii
20x + 2(2x) + 9 = 10(2x) + x
20x + 4x +9 = 20x + x
20x - 20x + 4x - x = -9
3x = -9
x=-3
y=2x
y=2(-3)
y=-6
So The Number is 10x + y
= 10(-3) + (-6)
=-30-6
=-36
This answer obeyed the first part of the question because the unit is twice digit(2x3)
Let's check if it obeyed the second part
2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)
2(-30-6) + 9 = -60-3
-63=-63
The 2nd part is also true.
So
Our Number is -36.
I'm Open to corrections if you spot any.
There is a 2-digit number. The sum of its ten digit and the unit digit is 10. Given the unit digit is 3, what is the 2-digit number
Answer:
7
Step-by-step explanation:
According to the Question,
Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.
Suppose The Number is XY .
Now, We Know X+Y=10 & Y=3 .
So, X+3=10 ⇔ 7 is the number on Tens Place.
And, the Number is 73 .
Find the volume of a rectangular prism with the following dimensions:
Length = 5 ft
Width = 4 ft
Height = 10 ft
210 ft3
220 ft3
190 ft3
200 ft3
Answer:
The answer is D, 200
Step-by-step explanation:
Since the formula for the volume of a rectangular prism is V = lwh, we multiple the length, width, and height together. This works for any rectangular prism.
V = lwh = 5 * 4 * 10 = 200
Answer:
200 ft3
Step-by-step explanation:
La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion
Answer:
La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:
134.5 Km/hO si se desea un número entero:
135 Km/hStep-by-step explanation:
Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:
Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:
Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/hCómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.
Which expression is equivalent to 3x5x5x5x5x5x5?
What is the value of x?
2
to
64°
X =
Answer:
26
Step-by-step explanation:
64 + x = 90 ( whole part axioms )
x = 90 - 64
x = 26