Answer:
The height of the building is 16.42 ft
Step-by-step explanation:
Given;
length of the ladder, = 17 ft
angle between the ground and the ladder, θ = 75°
Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.
Apply the following trig-ratio to determine the height of the triangle;
[tex]sin \theta = \frac{opp}{hypo}\\\\ sin (75^0) = \frac{h}{17}\\\\h = 17sin (75^0) \\\\h = 16.42 \ ft[/tex]
Therefore, the height of the building is 16.42 ft
7x + 6 - 4x + 10=? fast that ima get grounded
Answer:
= 3x + 15
Step-by-step explanation:
7x + 6 - 4x + 10
= 3x + 15
Answer:
3x+16Step-by-step explanation:
7x+6-4x+10
= (7x-4x)+(6+10)
= 3x+16
Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
serious answers only pls n ty!
Which graph represents the solutions to this equation?
x2 + 8x = -20
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ2
an object is moving at a speed of 4 feet per minute. Express this speed in miles per week. Round your answer to the nearest hundredth.
Answer:
7.64 miles/week
Step-by-step explanation:
recall the following conversions
1 mile = 5280 feet or 1 foot = 1 /5280 miles
also
1 week = 7 days = 7 x 24 hours = 7 x 24 x 60 = 10080 min
We are given 4 feet /min. We can apply the above conversions to this to get:
4 feet/min
= 4 feet/min x (1/5280) miles/foot
= (4/5280) miles / min
= (4/5280) miles/min x 10080 min/week
= (4/5280)(10080) miles/week
= 7.636363 miles/week
= 7.64 miles/week (nearest hundredth)
Quadrilateral WXYZ below has an interior angle sum of 360°.
Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle
Answer:
the W is 90°, means it is a right angle
Step-by-step explanation:
add all numbers, then subtract the sum to 360 and you will get the answer
Answer:
the anwser is A
Step-by-step explanation:I got a 100% on my test
Suppose y varies directly as x Write a direct variation
equation that relates x and y. Then solve.
if y=15 when x=2, find y when x=8
Answer:
y=7.5x, y=60
Step-by-step explanation:
you have to consider x as the input and y as output
when input x=2 the output y=15 so it grew by 7.5 so we can say that y= 2*7.5
in general the equation is y= 7.5*x
when x=8 we will have y=7.5*8=60
Linda was selling tickets to the school play. She sold 10 more adult tickets than children’s tickets and sold twice as many senior tickets as children’s tickets. If she sold 218 tickets, how many were adult tickets
Answer:
Totals can change but the pattern remains the same: Linda sold 40 Senior's Tickets, 30 Adult's Tickets, and 20 Children’s Tickets, for a total of 90 tickets sold.
Step-by-step explanation:
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Someone pleaseee help
(middle school math)
photo math isn't helping me rn lol
Answer:
x≤−9 or x≥5 or x=0
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2(x+9)(x−5)≥0
x4+4x3−45x2≥0
Let's find the critical points of the inequality.
x4+4x3−45x2=0
x2(x−5)(x+9)=0(Factor left side of equation)
x2=0 or x−5=0 or x+9=0(Set factors equal to 0)
x=0 or x=5 or x=−9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−9(Works in original inequality)
−9≤x≤0(Doesn't work in original inequality)
0≤x≤5(Doesn't work in original inequality)
x≥5(Works in original inequality)
Answer:
x≤−9 or x≥5 or x=0
I also recommend MathPapa or Symbolab to help you with your math.
for the $, state its worth as a percentage of $1 .$5
what are the solutions of x2-4x+5=0
please help!!
Answer:
The solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2-4x+5=0[/tex]solving the equation
[tex]x^2-4x+5=0[/tex]
subtract 5 from both sides
[tex]x^2-4x+5-5=0-5[/tex]
[tex]x^2-4x=-5[/tex]
[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]
[tex]\left(x-2\right)^2=-1[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-2=\sqrt{-1}[/tex]
As the imaginary rule is given by
[tex]\:\sqrt{-1}=i[/tex]
so
[tex]x-2=i[/tex]
[tex]x=i+2[/tex]
solving
[tex]x-2=-\sqrt{-1}[/tex]
[tex]x-2=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
[tex]x=-i+2[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?
Answer:
The area of the sheet needed is 3m^2 approx.Step-by-step explanation:
Step one:
given
height h= 1m
diameter= 70cm= 0.7m
radius r= d/2= 0.7/2= 0.35m
The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.
The formula is
T.S.A.=2πrh+2πr^2
Required is the T.S.A
Step two:
substitute our given data we have
T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2
T.S.A.=2.199+0.769
T.S.A.=2.96m^2
T.S.A.=3m^2 approx.
solve the inequality for 1x + 2 > 10
Answer:
x>8
Step-by-step explanation:
Hope that helps you!!
965 divided by 31 is the question I need help with
Answer:
31.12
Step-by-step explanation:
Answer:31.129
Step-by-step explanation:
what is v=1/3Ah solving for A
Answer:
A=3V/h
That is the answer for solving for A
Will give brainlist. I need the area of this triangle.
Answer:
I believe it is 6 units
Step-by-step explanation:
Plug the base and height into the formula for a triangle.
Hope this helps, have a nice day!
solve the following inequality for p. write your answer in the simplest form
9p-9<4p-2
Answer:
p < 7/5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
9p - 9 < 4p - 2
Step 2: Solve for p
Subtract 4p on both sides: 5p - 9 < -2Add 9 on both sides: 5p < 7Divide both sides by 5: p < 7/5Here, we see that any value p smaller than 7/5 will work as a solution.
30 points! Please help!
Answer:
It's Most likely B
Step-by-step explanation:
Give the person before me brainliest they got it first
:)
Area of the base= 324cm square , Height=8cm. Find the volume of the cylinder.
Plz tell as fast as possible. PLZ
A teacher has a 2-gallon (32-cup) container of juice. She gives each student 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?
y = 32 x minus one-half
y = one-half x minus 32
y = negative one-half x + 32
y = negative 32 x + one-half
Answer:
the first one
Step-by-step explanation:
Answer: A. y = 32 x minus one-half
THANKS PLEASE<33HELP!! Please, I'll give the first person to get it right a brainliest!
0.8/y =2: 3/4
Answer:
0.291 is the closest
Step-by-step explanation:
ok so 0.8/y=2 3/4
first of all turn it into a decimal
2 3/4= 2.75
2.75=0.8/y
0.8/?=2.75
Help me solve this problem please
Answer:
A
Step-by-step explanation:
y=-3x
Because Y=-3x
3/5 is the slope of line that is perpendicular to the line y=5/3x-2. True or false
Answer:
False. It is (-3/5)
Step-by-step explanation:
slope of the perpendicular line = -1/m
= [tex]\frac{-1}{\frac{5}{3}}\\\\[/tex]
[tex]= -1 * \frac{3}{5} = \frac{-3}{5}[/tex]
Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
help me ill give branilyest
At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.
Answer the questions to find out which store's apples are the least expensive.
1. What is the unit price of apples at store A? Explain how you found this unit price.
Write your answer in the space below.
2. What is the unit price of apples at store B? How did you use the equation to find the unit price?
Write your answer in the space below.
3. What is the unit price of apples at store C? How did you use the graph to find the unit price?
Write your answer in the space below.
4. Which store has the lowest unit price for apples?
Write your answer in the space below.
Answer:
The unit price is the cost per unit of an item or the cost/price for each item.
1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.
2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.
3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.
4) Store B. Because 2 is less than 3 which is less than 4.
Consider the diagram.
Line l is a perpendicular bisector of line segment R T. It intersects line segment R T at point X. Line l also contains point S.
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
The segment that has the same measure as ST is SR
What are line segments?Lines segments with the same measures have the same lengths
From the question, we have the following highlights
Line segment I bisects line segment RT at point XLine segment I contains point SThe highlight (I) above means that:
Line segments RX and SX are congruent
Given that:
Line segment I contains point S
Then it means that:
Line segments ST and SR are congruent
Hence, the segment that has the same measure as ST is SR
Read more about perpendicular bisectors at:
https://brainly.com/question/11006922
What is the slope plz help plz
Answer:
0
Step-by-step explanation:
To find slope you need to take two points from the line and use the slope formula ([tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex])
Im going to take the points (0,3) and (-2,3) So now lets put these coordinates into the formula:
[tex]\frac{3 - 3}{-2 - 0}[/tex]this would give us 0
(Edit* tbh i think the line might not even exist - ya know it says ¨Find the slope of the line if it exists¨ anyway ~_~ hope this helped...!)
Answer:
Slope m=-5/3
Step-by-step explanation:
Slope is m =(y2-y1)/(x2-x1)
You need to use two points
(x1,y1)= (0,3)
(x2,y2)= (3,-2)
m=(-2-3)/(3-0) = -5/3
Write a linear function f with f(4)=-3 and f(0)=-2
Will give brianlyest pls help
Answer:
Help with what?
