The bottom of the ladder is now 96 feet closer to the house compared to its initial position.
To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:
Initial ladder position:
Top of the ladder is 16 feet above the ground.
Bottom of the ladder is 12 feet away from the base of the wall.
New ladder position:
Top of the ladder is 18 feet above the ground.
Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.
Using the initial position of the ladder:
(16 ft) / (x + 12 ft) = (18 ft) / (x)
Cross-multiplying:
16 ft * x = 18 ft * (x + 12 ft)
Expanding:
16x = 18x + 216 ft
Moving the terms involving x to one side:
16x - 18x = 216 ft
Simplifying:
-2x = 216 ft
Dividing by -2:
x = -108 ft
Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.
Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):
108 ft - 12 ft = 96 ft
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help please will give brainliest
Answer:
x=2.86 which rounds up to 3 if u need to round
Step-by-step explanation:
Find the area of the shaded segment VB and length of VB
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. unitsAnswer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
PLEASE HELP I WILL MARK BRAINLIEST DUE IN 5 MINUTES
look at attachment
Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!
Answer:
The length of side EF is 10 units.
If there is any specific measurement for each unit, multiply 10 by the measurement amount.
Answer:
10 units
Step-by-step explanation:
The side of EF is 10 units
The side of DE is 10 units
The side of DF is about 14.1 units
WHATS THE VOLUME PLS HELP
Answer:
Step-by-step explanation:
Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1: V2. What is tan 45°?
A. V2/2
B. 1/2
C. V2
D. 1
Answer:
B. 1/2
Step-by-step explanation:
divide/
The value of measure of tan 45 is B. 1/2
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are given that side lengths of a 45-45-90 triangle are in the ratio 1 : 1: √2
A 45-45-90 triangle is a special case of a right triangle in which both legs we have the same value and the hypothenuse is h.
By the Pythagorean Theorem:
Tan 45 = pythagoras/ base
Tan 45 = 1/2
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Pretend you got 86% of the questions on a state test correct. The test had 120 problems. How many problems did you get correct?
Please show or explain your work
Answer:
1 17\43
Step-by-step explanation:
I did the math... i should be right...
Help plz!!!! WILL MARK BRANLIEST
Answer: 27/64
Step-by-step explanation:
Trust me
What Is The Area Of The Triangle?
Answer:
It's 35, I don't think you need an explanation but if you do ask!
I need help... how to simplify this ?
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something
Step-by-step explanation:
hope this helps if so mark it brainliest and if you want join meeting
which of the following statements is not always true?
a + (-b ) = -b + a
(a + b) + (-c) = a + [b + (-c)]
-(-a) = a
a - (-b) = (-b) -a
Step-by-step explanation:
The answer is a - (-b) = (-b) - a
for example if we take;
a = 4
b = 2
c = 2
and we replace;
4 - ( -2) = (-2) - 4
6 = -6
which is not true....
All the remaining are true....
even u can just use the values of abc and check if its true....
can someone please help me with this
Leroy draws a rectangle that has a length of 11.9 centimeters and a width of 7.6 centimeters. How much longer is the length than the width of Leroy's rectangle?
Answer: 4.3 cm
Step-by-step explanation:
Leroy's rectangle's width is 7.6 cm in length and the length of the triangle is 11.9 cm.
The length is therefore longer than the width and the difference is:
= Length - Width
= 11.9 - 7.6
= 4.3 cm
Solve for k.
8(10 - k) = 2k
answer: k=8
Answer:
k=8
explaining the answer
80 - 8K = 2K
Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2
Answer: E. square root of 2
We can write that in shorthand as sqrt(2)
sqrt(2) = 1.41421 approximately
======================================================
Explanation:
Step 1)
Add up the values to get 18+19+20+21+22 = 100
Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20
The sample mean is xbar = 20
--------------
Step 2)
Subtract the mean from each data value
18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2The results we get are: -2, -1, 0, 1, 2
---------------
Step 3)
Square the results from the previous step
(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4The results here are: 4, 1, 0, 1, 4
---------------
Step 4)
Add up those squares from the previous step: 4+1+0+1+4 = 10
Now divide by n = 5 to get 10/n = 10/5 = 2
The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.
sqrt(2) = 1.41421 approximately
---------------
Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.
giving brainliest to the correct answer !
which product is negative?
• (-3/8)(-5/7)(1/4)
• (3/8)(-5/7)(-1/4)
• (3/8)(5/7)(1/4)
• (-3/8)(-5/7)(-1/4)
Answer:
33333333333333333333333333333333333333333
Step-by-step explanation:3333333333333333333333333333333333333333
Please solve this for me!
4c + 36 divided by 3 + 4(1 + 2) if c = 5
Answer:4 or 3.70
Step-by-step explanation:
well if c = 5 you should 1st do 4 x 5= 20 + 36 and that equals 56
now do (1+2)=3 x 4 =12 + 3 =15
now not sure what ur answers are but i got either 4 or 3.70
Good Luck!!!
Which statement best describe the diagonals of a rhombus?
A) Is a parallelogram with congruent diagonals
B) Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular
C) Is a parallelogram with the diagonals that intersect but does not form 90 degree
D) Is a parallelogram with diagonals that are congruent and perpendicular
Answer:
Is a parallelogram with congruent diag............ option is best describing better
The statement which best describes the diagonals of a rhombus is B. Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular.
What is Rhombus?A rhombus is a two dimensional shape which consists of four equal sides with opposite side being parallel and opposite angles being equal.
So, rhombus is a parallelogram with all sides being equal.
The diagonals of a rhombus are not of equal length, so they are not congruent.
Also, the two diagonals of a rhombus cuts each other in to two equal halves and the intersecting angle is 90 degrees.
This means that the diagonals of a rhombus are perpendicular bisectors of each other.
Also, the diagonals bisect the pair of opposite angles through which the line passes.
Hence the correct option is B. Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular.
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I need help on this problem
Answer:
c= 15 mi
Step-by-step explanation:
Pythagorean theorem. a^+b^=c^
Square root of that
answer 15
Answer:
15
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 12 ^2 = c^2
81+144= c^2
225 = c^2
Take the square root of each side
sqrt(225) = sqrt(c^2)
15 =c
Please Help asap :((
A circle is represented by the equation below:
(x - 9)2 + (y + 8)2 = 16
Which statement is true? (6 points)
The circle is centered at (-9, 8) and has a radius of 8.
O The circle is centered at (9,-8) and has a radius of 8.
O The circle is centered at (9,-8) and has a diameter of 8.
The circle is centered at (-9, 8) and has a diameter of 8.
Answer:
The circle is centered at (9, -8) and diameter 8.
Step-by-step explanation:
(x-h)^2 +(y-k)^2 =r^2
(x-9)^2+(y+8)^2=4^2
Center: (h,k) = (9,-8)
Radius: r=4
The circle is centered at (9, -8) and radius is 4 or diameter 8.
PLEASE HELP SOLVE FOR SURFACE AREA!!!
Answer:
4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8
8 x 2 = 16(area of two triangles)
8 x 4 = 32(area of base below)
5.7 x 8 = 45.6 (area of slant)
4 x 8 = 32(area of the rectangle behind the figure)
Add all the given areas:
16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer
Graph the function.
f(x)=4⋅(3/2)^x
Answer:
Graph the function.
Step-by-step explanation:
OKAY, HELP PLEASE! NEED AT LEAST AN 80 WERE AT 56!
Answer:
24km²
Step-by-step explanation:
12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²
Answer:
24 km²
Step-by-step explanation:
12 - 4 = 8
8 ÷ 2 = 4
4 · 3 = 12
12 ÷ 2 = 6
4 · 3 = 12
6 km² + 12 km² + 6 km²
24 km²
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36
Answer:
B. 9
Step-by-step explanation:
the area = π × 3² = 9π ft²
Area of a circle = pi x R^2
R is the radius which is 1/2 the diameter.
R = 6/2 = 3 feet
Area = pi x3^2
Area = 9pi
The answer is B
Solve the proportion.
X/8=4/5
Can someone help me with this ASAP please I’m being timed
Answer:
x=32/5
Step-by-step explanation:
x/8=4/5
x=(4/5)×8
x=32/5
What is the midline equation of y = 2 sin( pi/2 x+3)?
Answer:
y = 0 is the midline equation.
Step-by-step explanation:
The midline equation of y = 2 sin( pi/2 x+3) is the same as that of
y = 2 sin( pi/2 x+3) or y = sin( pi/2 x+3), and is
y = 0.
Break 5/6 into a sum of unit fractions
plz dont dlete my question this isnt a live test and this isnt being streamed therefore i am not breaking breanlys guidlines
Answer:
1/6+1/6+1/6+1/6+1/6
Step-by-step explanation:
a unit fraction is a fraction with the numerator as 1
What is the size of the blue angle, and what do we call an angle with these measurements?
Answers:
The blue angle is 135 degrees
The angle is obtuse
==========================================
Explanation:
Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.
Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135
Either way, you should get to 135 degrees as the angle value.
-------------
The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.