Answer:
12.7
Step-by-step explanation:
Its a pythagerous question question
so if the ladder is 8 feet from the wall the base is 8
and the ladder is 15 foot and is the hypotemuse
so 15^2-8^2=161^2
The root of 161 = 12.69 rounded to 2 dp
so 12.7
The distance far the top of the ladder from the ground is 12.7 feet
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given that;
Length= 15foot
Base= 8feet
Now,
In this case, the ladder is the hypotenuse, and the base and the height are the legs. So, we can write:
15^2 = 8^2 + h^2
where h is the height of the ladder from the ground. Solving for h, we get:
h^2 = 15^2 - 8^2
h^2 = 225 - 64
h^2 = 161
h = sqrt(161)
h = 12.688
Therefore, by Pythagoras theorem the answer will be 12.7 feet.
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Skylar buys a one-gallon bottle of juice for $15.36. what is the unit rate of the cost of the juice per fluid ounce?
what is the cost of juice in dollars per fluid ounce?
Answer:
0.12
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon
15.36 / 128 = 0.12
Please help me ia m stuggling
Answer: use the Pythagorean theorem
if you use the Pythagorean theorem it would be so much easier:)
Step-by-step explanation:
Does anybody know this? I don't have much time and Also it is not the forth option. What is the approximate surface area of the cylinder shown?
Answer:
C) [tex]628\:\text{cm}^2[/tex]
Step-by-step explanation:
[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]
I need some help answering this
Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
tan(90 - x)° = cotx°
Given
cot40°, then
tan Θ = tan(90 - 40)° = tan50°
Thus Θ = 50°
Please Help!! DUE SOON!! I'LL MARk BRAInLiEAST!! HIGH POintS!!
Answer:
Step-by-step explanation:
ANSWER FAST GET 100 POINTS AND BRAINLIEST
The graph below shows Kate's distance from her home (y), in miles, after a certain amount of time (x), in minutes:
Graph titled Kates Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5 and 6, 6 and 7, 6 and 8, 6.
Four students described Kate's motion, as shown in the table below:
Student Description
Mary She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 8 minutes.
Lucy She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 2 minutes.
Tim She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes.
Pamela She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 8 minutes.
Which student most accurately described Kate's motion?
Mary
Lucy
Tim
Pamela
The student with the most accurate description of the graph that represents Kate's movement is Tim
The student with the accurate descriptionFrom the graph that represents Kate's distance per minute, we have the following highlights:
Kate drives at an irregular speed for 2 minutesThen she drives at a regular speed for 4 minutesThen she stopped moving for the next 2 minutesThe student's description that matches the above highlights is Tim
Hence, the student with the most accurate description is Tim
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Based on the scenario above, the student that most accurately described Kate's motion is Tim.
What is Motion?Motion is defined in physics, as the way that an object alters its position over time.
Note that in the scenario above, Tim said that Kate drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes and thus he is correct about Kate's motion.
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Brian bought 22 pounds of flour for $10. How many pounds of flour did he get per dollar?
Answer:
$2.20
You do 22÷10 and you get 2.20
If a positive is subtracted from a negative, will the answer be true or false. ans:true
Answer:
It depends. If the negative number is greater than the positive, the answer is true. Otherwise, false.
use your formula to convert 20 minutes to seconds please help me
Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
x² + y² = 34
=
y = x+2
Show your working.
Answer:
[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]
Step-by-step explanation:
Answer:
(- 5, - 3 ) , (3, 5 )
Step-by-step explanation:
x² + y² = 34 → (1)
y = x + 2 → (2)
substitute y = x + 2 into (1)
x² + (x + 2)² = 34
x² + x² + 4x + 4 = 34
2x² + 4x + 4 = 34 ( subtract 34 from both sides )
2x² + 4x - 30 = 0 ( divide through by 2 )
x² + 2x - 15 = 0 ← in standard form
(x + 5)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
substitute these values into (2) for corresponding values of y
x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )
x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )
Use synthetic substitution to evaluate f(z) = 8z³ - 5z² +9z+9 when z = 5.
A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,
f(z)=8z³-5z² +9z+9
f(5)=8(5)³-5(5)² +9(5)+9
f(5)= (8×125) - (5×25) + (9×5) + 9
f(5) = 1,000 - 125 + 45 + 9
f(5) = 929
Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.
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I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
BA=15
CA=15/2=7.5
[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]
A student graphs the functions f(x) = | x+3 | and g(x) = x2-2x+3 on the coordinate plane shown.
Which are the solutions of f(x) =g(x)?
A. -3 and 1
B. -1 and 1
C. 0 and 3
D. 3 and 6
The solutions are the intersection point of both graphs
The left side graph is y=|x+3|The right side top graph is x²-2x+3(Parabola)So there mUST be two solutions
The intersections are
(0,3)(3,6)The x values are solution
They are 0,3Option C
Answer:
C. 0 and 3
Step-by-step explanation:
The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.
From inspection of the graph, the points of intersection are:
(0, 3)(3, 6)Therefore, the solutions are 0 and 3 (since they are the x-values).
Proof
[tex]\implies f(x) = g(x)[/tex]
[tex]\implies |x + 3| = x^2-2x+3[/tex]
We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:
[tex]\implies x + 3 = x^2-2x+3[/tex]
[tex]\implies x^2-3x=0[/tex]
[tex]\implies x(x-3)=0[/tex]
[tex]\implies x=0, 3[/tex]
Thus confirming that the solutions are when x = 0 and 3
Eleniz is using her phone all day. her battery life is down to
76 and it drains another 1/9 every hour. how many hours will
the battery last?
Answer:
6.84 hours
Step-by-step explanation:
I will have to assume 100 is fully charged and that it drains 1/9 of 100 for each hour
76 / ( 100 * 1/9) = 6.84 hrs
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. what value of x satisfies this equation? round your answer to the nearest hundredth. the value of x is .
The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2
How to determine the value of x?The function is given as:
f(x) = 3|x - 2| + 6
The value of f(x) is
f(x) = 18
So, we have:
3|x - 2| + 6 = 18
Subtract 6 from both sides
3|x - 2| = 12
Divide both sides by 3
|x - 2| = 4
Remove the absolute bracket
x - 2 = 4 or x - 2 = -4
Add 2 to both sides
x = 6 or x = -2
Hence, the values of x are 6 and -2
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In a class of 23,there are 13 girls and 10 pupils who play chess .The number of girls play chess is 4.Find how many boys do not play chess. Topic :word problems involving set.Note:solve it by formula method and not venn diagram.Ur work should be shown clearly.30 points. A need it hurry
Answer: 4
Step-by-step explanation:
If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.
Convert the angle to radians. leave as a multiple of pi.
324 degrees
a.
startfraction 8 pi over 5 endfraction
c.
startfraction 18 pi over 5 endfraction
b.
startfraction 9 pi over 5 endfraction
d.
startfraction 9 pi over 10 endfraction
What is the slope of a line that goes through (2,-2) and (5,6)?
Step-by-step explanation:
The slope formula from 2 points is:
m=(y2-y1)/(x2-x1)
So input the numbers:
m = (6 - -2) / (5 - 2)
Solve within parenthesis:
m = (8) / (3)
Then divide!
8/3 = 2 2/3
the slope of the line is 2 and 2/3
I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answer:
they are exacly the same
Step-by-step explanation:
What is the total area of the following composite figure?
136.26 m 2
122.13 m 2
117.42 m 2
62.13 m 2
Step-by-step explanation:
there is a rectangle and an octagon within
area of rectangle = 8*9 = 72
there are 4 right angled triangles
area of one such triangle = .5 × 9 = 4.5
total area of triangles = 18
area of octagon = 72-18 = 54 m^2
Evaluate the expression when y=4.
y² + 6y +8
Answer:
48
Step-by-step explanation:
substitute y = 4 into the expression
y² + 6y + 8
= 4² + 6(4) + 8
= 16 + 24 + 8
= 48
In a school, 40% of the students have brown eyes. Find the experimental probability that in a group of 4 students, at least one of them has brown eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let numbers "0", "1", "2", and "3" represent the 40% of students with brown eyes. A sample of 20 random numbers is shown. 7918 7910 2546 1390 6075 1230 2386 0793 7359 3048 2816 6147 5978 5621 9732 9436 5971 3806 6173 1430 Experimental Probability = [?]%
Answer:
41.25%
Step-by-step explanation:
Of the 80 digits generated, 33 of them are 0,1,2, or 3.
(Yup, I counted them)
So, 33/80 = 0.4125 = 41.25%
Answer:
95%
Step-by-step explanation:
Step 1: Find samples with 0, 1, 2 or 3.
Example: count 7918 it has a one
Example two: count 2546 it has a two
Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.
Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.
Step 3: Change the fraction into a percentage after that you will have your final answer.
can you help with this please
Answer:
x = 81
Steps:
It says that y ~ √x
We have points (9, 18) as a guide.
We can write y = f(x) = a√x +b
Use points (9, 18) as a guide
18 = a√9 +b
18 = 3a + b
One solution might be a = 6, which means f(x) = 6√x
Thus when y = 54,
54 = 6√x
9 = √x
81 = x
Kyle buys a car for $58,000. His car immediately starts depreciating, losing 23% of its value every year. How much will the car be worth in 12 years?
The depreciated value of the car after 12 years that Kyle buys for $58,000 today, which declines 23% annually, will be $2,520.
What is depreciation?Depreciation is the reduction or decrease in the value of an asset over time.
Depreciation occurs because an asset is put to use, and undergoes wear and tear.
The current price of the car = $58,000
The annual depreciation rate = 23%
The depreciated value after one year = 0.77 (1 - 23%)
Let the number of years of depreciation = x
The worth of the car after 12 years = 58,000 x 0.77^x
= 58,000 x 0.77^12
= 58,000 x 0.04344
= $2,519.52
= $2,520
The car's depreciated value can be modeled by the exponential function (decay) abˣ, which yields $2,520 in this situation.
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Ashmita is 63 inches tall. How does her height compare with the other AP Stats students in her class?
Answer:
Using Logic...she is shorter than most children at that level.
Step-by-step explanation:
Ashmita is 63 inches tall which is 5 foot 3. or 5.25 feet
When AP stats starts you should be in Highschool.
Here are the averages of highschool students, in height.
14 years = 5ft 4.5in (163.8 cm) 5ft 2.5in (158.7 cm)
15 years = 5ft 7in (170.1 cm) 5ft 2.9in (159.7 cm)
16 years = 5ft 8.3in (173.4 cm) 5ft 4in (162.5 cm)
17 years = 5ft 9in (175.2 cm) 5ft 4in (162.5 cm)
The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?
Answer:
y= x + 3
Step-by-step explanation:
I have the same question and that was the correct answer
y= x+ 3 is flatter.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
As, the slope of y = x + 3 is 1.
So, the gradient is 1.
So, y = 2x + 3 is flatter
The slope of 2x-1 is 2
and, the slope of y= -4x+3 is -4
and the gradient is -4.
So, y= -4x +3 is steeper.
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Solve for x: 2x² - 7x - 30 = 0
Answer:
x=-10
Step-by-step explanation:
2x²-7x=0+30
2x²-7x=30
4x-7x=30
-3x=30
x=-10
Answer:
Step-by-step explanation:
(2x + 5)(x - 6) = 0
2x + 5 = 0
x = -5/2
x - 6 = 0
x = 6
A system of equations is graphed on the coordinate plane.
y = 1/2+2
y = x + 1
What is the solution to the system of equations?
Answer:
y=2.5, x=1.5
Step-by-step explanation:
y=1/2+2 ---(1)
y=x+1 ---(2)
y=1/2+2=2.5
Substitute y=2.5 into equation (2)
y=x+1
2.5=x+1
2.5-1=x
x=1.5
Find the measure of <1, <2 and <3 In P
Answer:
Step-by-step explanation:
Write the ratios for sin A and cos A.
A
26
B
10
C
24
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