Answer:
4 ft higher
Step-by-step explanation:
Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.
So, by Pythagoras' theorem,
10² = 6² + d² (the length of the ladder is the hypotenuse side)
d² = 10² - 6²
d² = 100 - 36
d² = 64
d = √64
d = 8 ft
Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.
Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).
Now, applying Pythagoras' theorem to the ladder with these new lengths, we have
10² = (6 + x)² + (8 - 2x)²
Expanding the brackets, we have
100 = 36 + 12x + x² + 64 - 32x + 4x²
collecting like terms, we have
100 = 4x² + x² + 12x - 32x + 64 + 36
100 = 5x² - 20x + 100
Subtracting 100 from both sides, we have
100 - 100 = 5x² - 20x + 100 - 100
5x² - 20x = 0
Factorizing, we have
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0 or x = 4
The top of the ladder is thus 4 ft higher
If m varies directly as n and inversely as the square of p then m=n/kp
true or flase
please helpp will mark brainlyist
which one is greater 3/10 or 2/5
Answer:
2/5
Step-by-step explanation:
2/5=4/10
Answer:
2/5 is great because it's 40%
3/10 is 30%
so 2/5 is greater
Currently I have separators on my molars so I can have enough space for an expander. But I noticed that one of my molars has shifted a lot to the side where it’s uncomfortable to eat or bite down. And I’m not sure if it’s suppose to shift to the side or not
Is that normal?-
Answer:
Yes I think
Step-by-step explanation:
I went through the braces process a few years ago and I got an expander. Your separator is probably making room for something meaning your teeth will probably move. Im no professional so Id say call into the office tomorrow or asap. And for the pain use whatever pain meds they allow (normally ibprophen ot tylenol) (sorry for spelling)
PLEASE HELP GEOMETRY IM STUCK!!! SHOW WORK
Answer:
N
Step-by-step explanation:
Since C is 48 you minus 6 from it since 6 is on the side so thus 48 - 6 = 42
Happy I can help
Answer:
48
Step-by-step explanation:
We are going to use trigonometry to solve for the wanted angle
Remember these are the trigonometric functions
( Remember SOH CAH TOA )
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
For angle Ф
we are given its adjacent side length (6) and the hypotenuse (9)
Adjacent and hypotenuse corresponds with the trig function Cosine
So we will use cosine to solve for the missing angle
( let x = missing angle )
( remember cosine = adjacent over hypotenuse )
[tex]cosX=\frac{6}{9} \\\frac{6}{9} =.66\\cos(x)=.66[/tex]
now we want to get rid of the "cos" on the x
To do so we take the inverse of cos ( arc cos ^-!1 ) and apply it to each side
so...
[tex]arcos(cos(x))=x\\arccos(.66)=48.1[/tex]
we're left with x = 48.1
A triangle has two sides measuring 8 and 15. The included angle is 33°. What is the length of the side opposite the 33° angle?
Answer:
Measure of the side opposite to the angle measuring 33° is 9.37 unit
Step-by-step explanation:
If a, b and c are the sides of a triangle,
And 'a' = 8
b = 15
Measure of the Included angle C = 33°
By applying cosine rule in the given triangle,
c² = a² + b² - 2abcos(C)
c² = 8² + (15)² - 2(8)(15)cos(33°)
= 64 + 225 - 201.28
= 87.72
c = √87.72
c = 9.266
≈ 9.27
Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units
Can you please help me?
Can anyone help me wit this please, with an explanation
Answer:
ΔABC → ΔA'B'C'
7 up and 6 right
(x - 6, y + 7)
ΔA'B'C' → ΔA''B''C''
Reflection over the x-axis
(x, -y)
pls help ASAP WILL MARK BRAINLIEST
Answer:
[tex](4w + 4) + < de + (2w + 11) = 180 \\ < de = 180 - 4w - 4 - 2w - 11 \\ < de = (165 - 6w)[/tex]
Where is the blue dot on the number line?
Answer:
-15
Step-by-step explanation:
Answer:
On -15.
Step-by-step explanation:
So, the common difference seems to be 5.
Therefore, the point before -5 will be -10 and the point before -10 is -15.
Yo guys help pls.pls pls
Answer:
A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.
Step-by-step explanation:
Algebra 2 will mark brainliest. 4 pictures 4 questions
Answer:
decreasing because x is negative.
Write the inequality that represents the number line
Answer:
C)
Step-by-step explanation:
2. Which of the following expressions has a simplified
value of 2a + 2?
A. -6a + 9a + 4-2
B. -a + 4 + 5a-a-6
C. -8 + 3a + 10 - a
D. -10 -5a + 12 + 8a
Answer:
C) -8 + 3a + 10 -a = 2a + 2
Step-by-step explanation:
I think the answer might be C.
Step-by-step explanation:
That is because if you look at C, it is -8 + 3a + 10 - a. Since it says -a, it means you have to subtract 3a - a = 2a, since a variable equals one in algebra. Then all that is left is -8 + 10, which will give you 2, which will give you 2a + 2. Hope this helps.
In 0.46, in which place is the 6?
Answer:
hundredths
Step-by-step explanation:
the 4 is in the tenth place therfore the 6 is in the hundredth place because it is 46/100
Please help ASAP!!!!
Answer:
m<CAO = 56°
Step-by-step explanation:
Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:
2x + 3x + 40 = 180
5x + 40 = 180
5x = 140
x = 28
Plug x=28 into angle CAO:
CAO = 2(28) = 56°
-4(w+1) = -24−4(w+1)=−24minus, 4, left parenthesis, w, plus, 1, right parenthesis, equals, minus, 24 w =w=w, equals
Answer:
W=5
Step-by-step explanation:
-4(w+1}=-24
-4w-4=-24
-4w=-20
w=5
Answer:
its 5
Step-by-step explanation:
i got i correct ;)
Please help
The price of a sweater decreased from 29.99 to 24.49. Find the percent decrease.
Answer:
The answer is 5.45%.
Step-by-step explanation:
29.99 - 24.49 = 5.5 which is the amount the price decreased.
Then, we divide the amount of decrease from the initial amount:
29.99 / 5.5 = 5.45
The answer is 5.45%
Someone please help!! I’ll give brainliest:))
what is the value of [(-3)^3]^2+2^4?
I need help take your time and think you
A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?
6 units
7 units
12 units
14 units
Answer:
It Would be 14 units.
Step-by-step explanation:
Have a Great Day.
:)
Will accept Brainliest
Marco has 2 bags of flour with 6
cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3
cups of flour for each batch.
How many more batches of muffins can Marco make with the flour he has left?
Answer:
2 batches
Step-by-step explanation:
Find the missing side.
Need help please. Need explanation, please.
Answer:
x ≈ 12.22
Step-by-step explanation:
SOH CAH TOA(Tangent = opposite side/adjacent side)
tan (48°) = x/11
=> x = tan (48°) × 11
=> x ≈ 12.22
Help!!! I need this asap!
Answer:
x= 14.8
Step-by-step explanation:
√12²+8²= 4√13
56.3= sin-¹(12/4√13)
tan56.3= 21.6/4√13
x+8= √21.6²+4√13²
x= 14.8
do the following conditions make a unique triangle more than one triangle or no triangle possible
Answer:
No triangle possible.
Step-by-step explanation:
3 + 6 < 10 so no triangle can be drawn with these lengths.
solve each of the following equations show solution set on a number line 3x-1=8
Answer:
x=3
Step-by-step explanation:
here u go!!! :)
answer
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
Helpppp asapppp I’ll give you a lot of points
Answer:
[tex]x = \frac{5a-2} {7+5a}\\[/tex]
Step-by-step explanation:
Given the expressions
[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]
Substitute 2 into 1
[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]
PLEASSE HELP!!! find the midpoint
Answer:
Option B --> (8, -5)
Step-by-step explanation:
To find the midpoint, we use the equation-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
The coordinates given were (8, -2) (8, -8)
x1= 8,
x2 = 8
y1 = -2
y2= -8
Substituting these values in the equation:-
[tex]\frac{8+ 8}{2} , \frac{-2 + -8}{2}[/tex]
[tex]\frac{16}{2} , \frac{-10}{2}[/tex]
Coordinates of midpoint will be ---> (8, -5)