-1/3(px-2) = 9
ok! so first we want to isolate x.
multiply both sides by -3/1 (this is the reciprocal of -1/3)
(px-2) = -27
px = -27 + 2
px = -25
x = -25/p
hope this helped!
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
Find the measure of each angle (help me please)
Answer:
<1=39 degrees
<2=141 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps:)
plz mark as brainliest
Answer:
x-38+x+64=180(supplementry angle)
2x+26=180
2x=180-26
2x=154
x=154÷2
x=77
Again,1st angle
x-38
77-38
39
2nd angle,
x+64
77+64
141
Guillermo bought 5 bags of candy that cost $10 each. Each bag of candy came with 35 pieces of candy inside. How many total pieces of candy did Guillermo purchase?
Answer:
175
Step-by-step explanation:
multiply the number of pieces by the number of bags he bought
Answer:
175
Step-by-step explanation:
5x35=175
the domain, range, and x-intercept of a one-to-one function are shown.
PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo?
Answer: ion know i'm guessing 4
Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there
Answer: It would be 20
Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers
A circle is inscribed with 5 lines. The center of the circle is labeled point O. Four lines extend from point O. One connects to point W on the edge of the circle. The second line extends past the circle edge through point X on the edge. The third extends past the circle edge through point Z. The fourth extends past the circle edge through point Y. A line connects points W and X. The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is point .
Answer:
XOZ
OY
O
Step-by-step explanation:
just took it on edge
1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?
Answer:
64 and 1/3 steps
Step-by-step explanation:
Answer:
775 / 12 = 64.5833...
Step-by-step explanation:
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!
If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?
Answer:
$42.60
Step-by-step explanation:
change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60
HELPPPPPPPPPPPP
i give brainliest!
Answer:
C
Step-by-step explanation:
The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35
When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
(3x-5) (7x+5) find x
Answer:
I
Step-by-step explanation:
3x-5+7x+5+90=180
x=9
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?
Answer:
$10.06
Step-by-step explanation:
Since there are 2 people, multiply the amount they each get by 2.
5.03 times 2=10.06
Final answer 10.06
Hope this helps:)
Line / has a ???
slope.
Answer:
this is a positive slope
Step-by-step explanation:
hope this helps
A sandwich is 5 1/2 feet long and divided into 1/2 foot pieces. How many pieces of sandwich are there?
Answer:
11
Step-by-step explanation:
Answer:
11 sandwich pieces
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLLLPPPPPPPP
Answer:
option 4
Step-by-step explanation:
Answer:
Option 4 (C)
Step-by-step explanation:
Substitute the f(x) = 10 - x^2 into where it says f(x):
g(x) = 3 f(x) - 8
g(x) = 3 (10-x^2) - 8
Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:
g(-2) = 3 (10-(-2)^2) - 8
g(-2) = 18 - 8
g(-2) = 10
^-^ hope this helps! (●´ω`●)
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ1
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
What is the y intercept of y= -3x-2
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
slope of points (-11,5), (-6,0)
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Answer:
30
Step-by-step explanation:
Work backwards:
6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30Check your work:
2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys leftWrite an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.