Answer:
14.2
Step-by-step explanation:
The ladder forms a right angles triangle,
We have,
h=20
p=16
b=x
Using pythogorean theorem,
b=√(20^2-16^2)
√144
b=12
Now,
Since, she pulls it 2 cm,
b=x+2
b=14
p=?
Using pythogorean theorem,
p=√(20^2-14^2)
√204
p=14.2828568571
Rounding to the nearest tenth,
p=14.2
The side of the ladder will reach up is 14.3 feet.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Hypotenuse, h = 20 feet
Perpendicular, p = 16 feet
Base = b
By Pythagoras theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]
⇒[tex]b^{2} = 400-256[/tex]
⇒[tex]b^{2}=144[/tex]
⇒[tex]b=\sqrt{144}[/tex]
⇒[tex]b=12[/tex]
The ladder at the house is pulled 2 feet farther.
So, base = [tex]12+2[/tex]
⇒[tex]b=14[/tex]
Now, the side of the ladder will reach up
[tex]p^{2} = h^{2}-b^{2} \\[/tex]
⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]
⇒[tex]p^{2}=400-196[/tex]
⇒[tex]p^{2}=204[/tex]
⇒[tex]p=\sqrt{204}[/tex]
⇒[tex]p=14.28[/tex]
⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)
Hence we can conclude that the side of the ladder will reach up is 14.3 feet.
Learn more about trigonometric ratios here
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Can SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASEE ILL GIVE YOU BRIANLIEST
Answer:
sorry I also dont understand
Carmen wants to buy a pair of shoes that regularly costs $78. Today, the shoes are on sale for 60% of the original price. How much will Carmen have to pay for the shoes?
Answer:
31.2
Step-by-step explanation:
Change 60% into 0.6 by moving the decimal 2 points to the left
Multiply 0.6 by 78 to get 46.8
Subtract 78 and 46.8 to get 31.2 which is your answer
78 is what percent of 95?
Answer: 74.1 please mark brainliest
Step-by-step explanation:
Answer:
78% of 95= 74.1
95% of 78= 74.1
Can someone help me do this
Answer:
X = 2
5y + (what is that number???) can not see it
Volume Of This Prism
Answer:
look at the photo i have sent
Could someone please help answer this, Thanks so much, please no spam, will give brainliest (homework help)
Answer:
b<-7
Step-by-step explanation:
3b+3<-18
subtract 3 on both sides
3b<-21
divide 3 on both sides
b<-7
What is thissss someone help
Answer:
1. Neither
2. Odd
3. Odd
4. Even
Step-by-step explanation:
Graphically, an equation is even if it is symmetrical across the y-axis. An equation is odd if it is symmetrical after folded over y and x. An equation is neither if it fulfills neither requirement.
Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).
Hope it helps :) and let me know if you want me to elaborate.
When solving an equation using desmos, how many solutions do you have when a single vertical line crosses the x-axis?
Only 1 solution because you pass through the x-axis only once. Here is an example image below.
if 7x+5=2x+9 then what is x?
Step-by-step explanation:
gegydebdjsixhebxuhdbdxhurhdf
Find the slope and use the point to write an equation of the line in point slope form.
Answer:
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]
Using (a, b ) = (- 2, - 1 ) , then
y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form
What is the value of W in this exterior angle therom
Answer:
I think it is 60w2+2640w−11520
Step-by-step explanation:
pls brailiest
Help me pleaseeeeeeeeeeeeeee
Answer:
34
Step-by-step explanation:
The left shapes' side is 10 and the other side is 7. The difference between these sides are 3. Onto the next polygon we would do the same thing. So 37-3 = 4
Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm
Answer:
Step-by-step explanation:
angle at the center
[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]
15. Solve the compound inequality.
3x - 4 >5 or 1 - 2x 7
A X<-3 or x > 3
B x < -3 or x > 3
CX-3 or x <3
D x>-3 or x < 3
hope you like my answer its Letter D
Which line has a larger slope?
Answer:
the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye
Solve the equation below for y in terms of x.
(Slope Intercept Form, y = mx + b)
2y - 3x = 7
combine the like terms to create an equivalent expression
what is
2 x - x + 8
Answer:
x + 8
Step-by-step explanation:
when theres just an x or any number there it is the same as 1x
2x - 1x = 1x / x
1x + 8 aka x + 8
can someone help? (this is algebra work)
15
The fraction 15 is the same as 15 divided by ___
Answer:
If its just 15 then its 1
Step-by-step explanation:
Because 15 divided by 1 is 15 which is the fraction.
Answer:
Below,...!
Step-by-step explanation:
15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:
[tex]\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}[/tex]
15/1 is your fraction so 15/1 divided into 15 equals 1
[tex]\frac{15}{1} / 15 = 1/1 = 1[/tex]
Answer: 1
Chow,...!
Х у
2 3
5 9
What is the slope of the function?
What kind of reward and sacrifices do you believe a doctor would have?
Answer:
As a doctor, you witniss pain and death on a daily basis (which can be tramatic). You also have peoples lives put in your hands, and if you fail them you must answer their legal caretakers and or family. Also lawyers in some cases. Law can be a con of being a doctor. It is easy to get a lawsuit against yourself in that job category. But the pros (good things) are that the pay is well, and if all goes right you get to save lives for a living. This job is also deemed a sophisticated one by most, gaining you scholarships, respect, etcetera.
please help if possible does anyone know where to find the answers to this packet
Answer:
This looks teacher made so i doubt you would be able to find this anywhere
Step-by-step explanation:
Solve the equation. 6x+7=8x−15
x=11
Step-by-step explanation:
6x+7=8x-15
7+15=8x-6x
22=2x
x=22/2
x=11
Solve for x using the figure to the right. x=
Answer:
Step-by-step explanation the answer is 3
what is twelve billion three hundred forty two million sixty five in numbers
Answer:
12,342,000,065
Step-by-step explanation:
yeah-ya
Estimate.
245.7 + 5.8
Answer:
251.5
Step-by-step explanation:
5.8 = 005.8
245.7 + 5.8
= 245.7 + 005.8
= 251.5
Answer:
251.5
Step-by-step explanation:
245+5= 250
.7+.8 = 1.5
Help please! I need help with my math question!
Answer:
cc
Step-by-step explanation:
Point A is (2, -3) Use each transformation rule to find the coordinates of A’. Final answer in ( )
(x,y) ---->(x +3, y-1) A’=_________________________
(x,y) ----> (x, y-4) A’ = ________________________
By transformation rules, the points A₁(x, y) = (5, - 4) and A₂(x, y) = (2, - 7) are images of point A(x, y) = (2, - 3)
How to obtain the image of a point by a vector
In this problem we must determine two images associated to a given point and that are result of an transformation rule known as a translation. This transformation rule is described below:
A'(x, y) = A(x, y) + T(x, y)
Where:
A(x, y) - Original point.A'(x, y) - Image of the point.T(x, y) - Translation vector.First, write the coordinates of the original point:
A(x, y) = (2, - 3)
Second, find the images of the original point by transformation rule:
A₁(x, y) = (2, - 3) + (3, - 1)
A₁(x, y) = (5, - 4)
A₂(x, y) = (2, - 3) + (0, - 4)
A₂(x, y) = (2, - 7)
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commission expense is budgeted to be $16,000 at a planned sales level of 4,000 units. if only 2,900 units are sold, how much commission expense will appear on the flexible budget, and is the activity variance favorable or unfavorable?
The amount of commission expense that will appear on the flexible budget if 2900 units were sold is; $11600
The activity variance is favourable.
According to the question;
The budgeted commission expenses is to be $16,000 at a planned sales level of 4,000 units.However, only 2900 units are sold.To solve this;
We must be aware that the commission expense is directly proportional to the number of units sold.
In essence;
$16,000 is expected at 4,000 units of sale.Therefore, $x is expected at 2,900 units of sale.By cross product;
x = (2900 × 16000)/4000x = $11,600Ultimately, the activity variance is favourable bas less commission expense is recorded for less sale.
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what the slope of a line
Answer:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Hope it helps.