Answer:
61.8 feet to nearest tenth.
Step-by-step explanation:
USING THE PYTHAGORAS THEOREM:
55*2 = 21^2 + h^2 where h is the height of the top of the ladder from the ground.
h^2 = 55^2 - 21^2
= 2584
h = √2584
= 50.83 ft.
So the height of the building
= 11 + 50.83
= 61.83 feet.
Factor completely.
5x² - 20x + 20 =
Answer:
[tex]5(x-2)^2[/tex]
Step-by-step explanation:
[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]
Which equation represents the line that passes through the point (4, -5) and is
perpendicular to the line x + 2y = 5?
А
x - 2y = -14
B
x + 2y = -6
C 2x + y = 3
D
2x - y = 13
Answer:
D. 2x - y = 13
Step-by-step explanation:
We are given the line x + 2y =5
We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)
Perpendicular lines have slopes that multiply to -1
First, let's find the slope of the line
The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do that, we will need to solve the equation for y
Here it is:
x + 2y = 5
Subtract x from both sides
2y = -x + 5
Divide both sides by 2
y = -1/2x + 5/2
The slope of the line is -1/2
Now, to find the slope of the line perpendicular to it, use this equation:
-1/2m = -1
Multiply both sides by -2
m = 2
The slope of the line perpendicular to it is 2
Here is the equation of the line so far in slope-intercept form
y = 2x + b
We need to find b
As the equation passes through the point (4, -5), we can use it to help solve for b.
Substitute 4 as x and -5 as y.
-5 = 2(4) + b
Multiply
-5 = 8 + b
Subtract 8 from both sides
-13 = b
This is our line:
y = 2x - 13
Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.
To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side
-2x + y = -13
Now multiply both sides by -1
2x - y = 13
This makes the answer D.
Write an equation in standard form of the line
With slope 2/5 and going through (-3,6).
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]
[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]
What is the area of a square if one side is 14 centimeters long?
Answer:
A=a2=142=196cm²
Answer: 196 cm²
hope this helps :)
Answer:
196cm²
Step-by-step explanation:
All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.
To find the area you multiply the length and the width (A=l*w)
l=14, w=14
14*14=196cm²
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 3, 4 to 7, and 8 to 11. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1.
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
*will Mark Brainliest*
Answer:
I'm very sure it is B. The number of students who collected exactly 9 bottles.
Step-by-step explanation:
A is wrong because it does show the total amount of students.
C is wrong because it does show the amount of students that collected 3 or fewer bottles.
D is wrong because it does show the total number of students who collected 7 or fewer bottles.
So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.
Answer:
The answer your looking for would be B. "The number of students who collected exactly 9 bottles"
Step-by-step explanation:
I took the FLVS test.
Byrn has a stack of photos measuring 12cm wide and 16cm high. He wants to display them on a large rectangular poster in such a way that all photos are equally spaced on each side, including at the edges of the poster, as illustrated (in the attached file)
Q1. Bryn wants to display 9 photos (with longer side vertical) in 3 rows of 3 photos each with 2cm spacing around each photo. What are the dimensions of the poster?
Q2. Bryn wants to display 24 photos (with longer side vertical) with 2cm spacing around each photo. He wants more columns than rows of photos. Find the smallest poster area that is needed.
Q3. Bryn wants to display 18 photos in 3 rows of 6 photos each with 3cm spacing around each photo. The photos may all be displayed in portrait orientation (longer side vertical) or in landscape (longer side horizontal). Which orientation uses the lesser poster area?
Q4. Bryn wants to display 24 photos (with longer side vertical) in 6 rows of 4 photos each with equal spacing around each photo. He has a poster that is 62cm wide and 120cm high. He wants to use the full width of the poster but is prepared to trim some of its height to achieve the equal spacing. How much of the poster does he need to trim?
Please provide working out for all of the answers. Thanks.
The answers for the questions are:
1) The dimensions of poster are 44cm by 56cm
2) The smallest poster area needed is 5328 square centimeter
3) The orientation that uses the lesser poster area is portrait.
4) He needs to trim 4.4cm of the height of poster
What is a rectangle?A rectangle is a quadrilateral with opposite sides equal and all angles 90°
Analysis:
1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4
width of poster = 2x4 + 3x12 = 8 + 36 = 44cm
Height of poster = 4x2 + 3x16 = 56cm
2) possible combinations, are 8 picture on a row and 3 picture on a column
width = 9spacing x 2cm + 8 pictures x 12 = 114cm
length = 4 spacing x 2 + 3pictures x 16 = 56cm
12 pictures on a row and 2 pictures on a column
width = 13 spacing x 2cm + 12 pictures x 12 = 170cm
length = 3 spacing x 2cm + 2 pictures x 16 = 38cm
6 pictures on a row and 4 pictures on a column
width = 7 spacing x 2cm + 6 pictures x 12 = 72cm
length = 5 spacing x 2cm + 4 pictures x 16 = 74cm
The smallest area is 74 x 72 = 5328 square centimeter
3. For portrait,
width = 6 photos x 12cm + 7 spacing x 2cm = 86cm
length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm
For landscape,
width = 6 photos x 16cm + 7spacing x 2cm = 110cm
length = 3 pictures x 12cm + 4 spacing x 2 = 44cm
The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.
4. Let the equal spacing be P
for full width = 62cm
4pictures x 12cm + 5 spacing x P = 62
48 + 5p = 62
5P = 62-48
5P = 14
P = 14/5 = 2.8cm
length of poster using equal spacing of 2.8cm
length would take 6 photos
6 photos x 16 + 7 spacing x 2.8 = 115.6cm
original length of poster is 120cm
so he would need to trim (120-115.6) = 4.4cm
In conclusion, The answers to the questions are:
1) dimensions of poster are 44cm by 56cm
2) The smallest poster area needed is 5328 square centimeter
3) The orientation that uses the lesser poster area is portrait
4) He needs to trim 4.4cm of the height of poster
Learn more about rectangles: brainly.com/question/25292087
#SPJ1
solve for y
y/2 = x
thank you
Answer:
[tex] \frac{y}{2} = x \\ \\ y = 2x[/tex]
The question is attached.
Answer:
B
Step-by-step explanation:
1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)
(10/8)/5 = 2/8 (5 for the amount of jugs.)
2/8 = 1/4
Complete the table to show the area of each circle.
Answer: look at my work its 10 pi cm ^2
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Area of:
The large circle = π r^2 = π * 10^2 = 100π
The small circle = π * 5^2 = 25π.
PLS HELP!!!
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
PLEASE INCLUDE EXPLANATION!!!! THANK YOU!!!
So
cos47=Base/Hypotenusecos47=y/6y=6cos47And
sin47=x/6x=6sin47sin47=0.73
cos47=0.68
So meanwhile sin is greater so 6sin is also greater
x is greatership 2 is closerAnswer:
Ship 2
Step-by-step explanation:
From inspection of the diagram, the problem has been modeled as a right triangle. Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)To find [tex]x[/tex] use the sine trig ratio:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]
[tex]\implies x=6 \sin(47^{\circ})[/tex]
[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]
To find [tex]y[/tex] use the cosine trig ratio:
[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]
[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]
[tex]\implies y=6 \cos(47^{\circ})[/tex]
[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]
As 4.09 < 4.39, ship 2 is currently closer to the coast guard.
Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x
Answer:
Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.
Step-by-step explanation:
What are the phrase in a business cycle
Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
a. Lily paid $6 for 3/8 lb of nuts.
What is the unit rate as complex fraction (simplify)
Answer:
Ib = $16 per lb
Step-by-step explanation:
Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?
Answer:
Let the number of shirts he sold the first week = x and the number sold the second week = 100 - x
So we have
[Sales] - [Cost] = Profit
[25x + 20(100 - x)] - [15 * 100] = 600 simplify
25x + 2000 - 20x - 1500 = 600
5x + 500 = 600 subtract 500 from both sides
5x = 100 divide both sides by 5
x = 20 = the number of shirts sold the first week
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let x = number of shirts sold in Week 1
Let y = number of shirts sold in Week 2
Profit = Selling price - cost price
If Billy purchased the shirts at a cost of $15 each, then
Week 1: Profit per shirt = $25 - $15 = $10Week 2: Profit per shirt = $20 - $15 = $5Equation 1
Total of 100 shirts purchased:
⇒ x + y = 100
Equation 2
Total profit of $600:
⇒ 10x + 5y = 600
Rewrite Equation 1 to make y the subject:
⇒ y = 100 - x
Substitute this into Equation 2 and solve for x:
⇒ 10x + 5(100 - x) = 600
⇒ 10x + 500 - 5x = 600
⇒ 10x - 5x + 500 = 600
⇒ 5x + 500 = 600
⇒ 5x = 600 - 500
⇒ 5x = 100
⇒ x = 100 ÷ 5
⇒ x = 20
Therefore, Billy sold 20 shirts in his first week.
What is the domain of the function graphed below?
O(-2, ∞) O(-3,4] and [7, ∞). O(-∞,4). O [-2,0] and (7, ∞)
Using it's concept, it is found that the domain of the function graphed below is given by:
[tex](-2,4][/tex] and [tex][7, \infty)[/tex].
What is the domain of a function?It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:
[tex](-2,4][/tex] and [tex][7, \infty)[/tex].
More can be learned about the domain of a function at https://brainly.com/question/10891721
#SPJ1
In triangle HJK shown above what is the measure of ∠J in degrees
Angles in a triangle adds up to 180
180 - (25.5 +120.2) = 34.3
So, missing angle is 34.3 degrees
Hope this helps!
Can someone actually HELP me
Answer:
See below
Step-by-step explanation:
This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .
Angle 2 = angle 6 = angle 4 = angle 8 (congruent)
Angle 1 and angle 3 and angle 5 and angle 7 are also all equal
A 'straight angle' is a straight line and has a measure of 180 degrees
look at angle 1 and angle 2 ....they add up to a straight line = 180 degrees or angle 1 and angle 6 angle 1 and angle 4 each add to 180 degrees
Any angle in the underlined list above added to any angle in the bold list from above add to 180 degrees ....
Answer + Step-by-step explanation:
Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)
Angles 1 and 7 are transversal and congruent . (True) (Reason : Alternate Exterior Angles)
Angles 4 and 6 are transversal and congruent . (True) (Reason : Alternate Interior Angles)
Angles 5 and 7 are transversal and congruent . (True) (Reason : vertically opposite Angles)
What degree is a straight angle ? (180 degrees)
What would angles 1 and 6 add up to ? (180 degrees)
What would angles 8 and 3 add up to ? (180 degrees)
………………………………………………………………………………………
Angles W and Z add up to ? (180 degrees)
The sum of the 3 angles in a triangle (180 degrees)
Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)
Angle W equals what (180 - Z = 180 - 75 = 105 degrees)
find the volume of this figure. round your answer to the nearest hundredth. if necessary
radius=8m
height=12m
#3
15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.
Answer:
Step-by-step explanation
1= 12
.8 of 1 = 48
so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour
Which of the following describes how to calculate net pay? Subtract the total deductions from the net pay. Subtract the total deductions from the net pay. Subtract the total deductions from the gross pay. Subtract the total deductions from the gross pay. Add the total deductions to the gross pay. Add the total deductions to the gross pay. Subtract the total deductions from the take-home pay.
Answer:
(b) Subtract the total deductions from the gross pay
Step-by-step explanation:
The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."
The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."
net pay = gross pay - deductions
Net pay is calculated by subtracting total deductions from gross pay.
What is “y is __ times x”
Answer:
6
Step-by-step explanation:
what is the negation of x is greater than
39
Step-by-step explanation:
that means the opposite ...
the opposite of
x > 39
is
x <= 39
help please !!!!!!!!!!
Answer:
it is -3
Step-by-step explanation:
go to x=-4 and see what the y value of the line is
Answer:
1
Step-by-step explanation:
Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.
The equation is y= 1/2x -1.
Plugin 4 for x and solve for y.
y = 1/2(4) -1
y = 2 - 1
y = 1
Solve the following equation: 3t = 21
3t=21
[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]
pls help plssssss thank you 20 points
Answer:
7x - 10 < 11
Step-by-step explanation:
B
I need help please I’m confused
Answer:
the answer is bottom left trust
Answer:
bottom left is the answer
Step-by-step explanation:
Victoria wants to purchase a tablet. She has $130 to spend. She finds one that regularly sells for $139.99 and is on sale of 15% off. Sales tax is 7%. How much will Victoria pay for the tablet? Show your work and record your answer in the red box.
Answer:
$127.32
Step-by-step explanation:
Selling price= $139.99
Sale discount= 15% = $139.99 * 0.15 = $21
Discounted price= $139.99 - $21 = $118.99
Sales tax added= 7% = $118.99 * 0.07 = $8.33
Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Select a card from a set of cards with the letters A through D, then spin this once.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Select a card from a set of cards with the letters A through N, then spin this once.
The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube
Which sets of actions can he use to have a statistically fair game?
We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.
Of the given options, the only one that has a sample space of 24 elements is the first one.
Toss a coin twice and then roll a D6.
For each coin toss, the outcomes are 2 (tails and heads).
For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)
Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:
C = 2*2*6 = 4*6 = 24.
From this, we conclude that this is the correct option.
If you want to learn more about outcomes:
https://brainly.com/question/251701
#SPJ1
Answer:
the correct ones are
2, Select a card from a set of cards with the letters A through D, then spin this once.
5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
6, spin this and roll an 8-sided number cube with the digits 1 to 8.
Step-by-step explanation:
so basically both the colored wheel answers and the one with the coin and cube
plato 2022
Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529