Answer:eeeeeStep-by-step explanation:
treeee
A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.
To solve this problem you must apply the proccedure shown below:
1. You have the the 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
39 degrees 45'=39.75°
Sin(39.75°)=d/13.5
d=13.5xSin(39.75°)
d=8.63
Pls help I’ll brainlest for the correct answer
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
Answer:
y = 9x + 10
Step-by-step explanation:
y = mx + b
Here, m is slope and b is y-intercept
y = 9x + 10
For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9
Answer:
A
Step-by-step explanation:
If there are two boys to every three girls, what percent of the class is girls?
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap
Answer:
180
Step-by-step explanation:
9x5=45
45x4=180
Answer:
180 cm^3
Step-by-step explanation:
4x5x9=180
Hope this helps! ;)
Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR
Answer:
x = 34.85
Step-by-step explanation:
Apply trigonometric ratio formula to find x
Reference angle = x
Side opposite to x = 4
Hypotenuse = 7
Therefore,
Sin x = opp/hyp = 4/7
x = sin-¹(4/7)
x = 34.85° (nearest hundredth)
Kate had $140. She spent
2/5 of it. What amount did she spend?
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
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What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
Maggie wants to buy a new energyefficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one would use about 400 kWh per year. Approximately how much money would Maggie saveper year if she buys the new refrigerator?
Answer:
800 Kwh
Step-by-step explanation:
To solve this problem, we need to find the difference in energy saved and then multiply by the cost of 1kWh of electricity
How much did Maggie save?Let's first of all calculate the the difference in energy saved
Data;
old refrigerator = 1200kWhnew refrigerator = 400kWh[tex]1200 - 400 = 800kWh[/tex]
Maggie would've saved 800kWh in one year.
But since we were not given a standard cost of electricity, we would assume that 1kWh will cost $1.
So, to determine how much she must've saved, we simply multiply $1 by 800kWh
[tex]1 * 800 = $800[/tex]
Using our assumptions, she would've saved $800 in one year.
Learn more on rate of power here;
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Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
I need some help please
Answer:
might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong
Step-by-step explanation:
GIVING ALOT OF BRAINS FAST!
Brendon is building a clubhouse where 11 inch on the plans is equivalent to 88 inches on the actual clubhouse.
If the clubhouse is to be 160 inches wide, what will the width be on the plans?
Round answer to the nearest hundredth if necessary.
20
160/8=20
88/8=11
i hope this one helps !!
Answer:
20,020 in. on the plans
Step-by-step explanation:
To get from 11 in. to 88 in. (from plans to real life), you multiply by 8.
Therefore, to get from 160,160 to ?? (from real-life to plans), you would divide by 8.
160,160 / 8 = 20,020
To check, you can multiply 20,020 by 8 to go from plans to real-life measurements; 20,020 • 8 = 160,160)
I am going to pay $44 for a pack of awesome color pencils. The tax is 6%. How much is the taxes going to be?
Answer:
2.64 sales tax
Step-by-step explanation:
hope i helped you
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Evaluate m + 7.5 when m = 8.6
Answer:
16.1
Step-by-step explanation:
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Will give brainliest
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
All things algebra triangle angle sum theorem
Answer:
The three angles of a triangle always add up to 180°.
That's basically all there is to it. I know this was pretty short but I hope it helps. :)
Answer:
The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.
Step-by-step explanation:
(hope this helps :P)
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.
9514 1404 393
Answer:
Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of pricesStep-by-step explanation:
The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.
Material 2 (blue curve) shows the highest profit.
Material 3 (green curve) shows a profit over the widest range of prices.
Mr Harris had a piece of rope that measured 10 feet. He cut it into 15 equal pieces. How long was each piece?
Answer:
I think that it is 8 inches
Step-by-step explanation:
I multiplied 10 times 12 because there is 12 inches in a foot. Then I divided 120 by 8.
I hope this is right
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
