Answers
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
Related Questions
ITS FOR A TEST PLS HELP
Alyssa is trying to pick out an outfit for the first day of school. She can choose
from 4 pairs of pants, 8 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
How many different outfits does Alyssa have to choose from?
Answers
4x8x8x5 = 1280
The number of different outfits is 1280
How to determine the number of different outfits?From the question, we have the following parameters that can be used in our computation:
8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes
The number of different outfits is equal to the products of the count of each apparel.
This is represented as;
Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes
Substitute the known values in the above equation;
Different outfits = 4 x 8 x 8 x 5
Evaluate;
Different outfits = 1280
Hence, there are 1280 different outfits
Read more about combination at;
brainly.com/question/11732255
#SPJ2
You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?
Answers
Answer:
1/2
Step-by-step explanation:
Please help!! Will give BRAINLIEST!!!!
Answers
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Answer:
domain is all real numbers except -6
Step-by-step explanation:
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Answers
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT
Answers
Answer:
ugh
Step-by-step explanation:
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answers
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
WILL GIVE BRAINLIST Please help
Answers
Sample Answer:
Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.
Step-by-step explanation:
For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.
The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.
Now, with the formulas for volume of the prisms:
Rectangular: L * W * H
Triangle: (L*W * H) / 2
Then just plug in the numbers:
Rectangular Prism:
L * H * H
6 * 5 * 1
30 * 1
30
Triangle Prism:
(12 * 5 * 1) / 2
60 / 2
30
They are equal to each other.
please help asap!!!!!
Answers
let me explain
y=x+1
y= -x + 5
x + 1 = -x +5
GET RID OF X
1 = 5
1 and 5 do not equal each other and there is no x left either so you can’t solve it.
Answer:
No
Step-by-step explanation:
if both equations begin with 'y=' then we can set the expressions equal to each other:
-x+1 = -x+5
1 ≠ 5 ∴ there are no solution to this system of equations
The segments shown below could form a triangle.
help please :)
Answers
Answer:
The answer is false! :)
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answers
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answers
Answer:
Step-by-step explanation:
what
What is the value of X in the equation x²-6x+9=25
Answers
Answer:
X = -2 or X = 8
Explanation:
HELP ASAP (Brainliest)
What is the area of this figure?
Enter your answer in the box.
Answers
532 m
step-by-step explanation:
break the figure into 3 different shapes
first one is the square at the top
L • W = A
18 • 18 = 324
the next is the triangle below it
hbb/2 = A
18b16/2 = A
144
the last is the last triangle
hbb/2 = A
8b16/2 = A
64
add them together
324 + 144 + 64
532 m
Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.
Answers
Answer:
m∠C = 72°
BA = 8.6
AC = 2.8
Step-by-step explanation:
We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:
m∠A + m∠B + m∠C = 180°
And substitute what we have:
90° + 18° + m∠C = 180°
108° + m∠C = 180°
m∠C = 72°
In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:
cos(∠B) = [tex]\frac{BA}{BC}[/tex]
cos(18°) = [tex]\frac{BA}{9}[/tex]
9 * cos(18°) = BA
BA ≈ 8.559508647
And when we round, we get:
BA = 8.6
In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:
sin(∠B) = [tex]\frac{AC}{BC}[/tex]
sin(18°) = [tex]\frac{AC}{9}[/tex]
9 * sin(18°) = AC
AC ≈ 2.781152949
We can round this to:
AC = 2.8
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answers
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
See more about triangles at brainly.com/question/2269348
TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answers
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
Simplify:
3x2 – 2x + 1 = [?]
x=2
Answers
Answer:
9
Step-by-step explanation:
3×2² -2×2 +1 = 3×4-4+1=12-4+1=9
Answer:
9
Step-by-step explanation:
Substitute x = 2 into the expression
3(2)² - 2(2) + 1
= 3(4) - 4 + 1
= 12 - 4 + 1
= 8 + 1
= 9
100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10
Answers
Answer:
40
Step-by-step explanation:
100/10*2*4/2
10*2*4/2
20*4/2
20*2
40
If this helps please mark as brainliest
Answer:
40
Step-by-step explanation:
100/10=10
10*2=20
20*4=80
80/2=40
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answers
good luck :)
Answer:
a edge 2021
Step-by-step explanation:
If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.
True or False
Please make an answer and give brainliest and more points to 100 need it please!
Thank you
Answers
Answer:
True
Step-by-step explanation:
Two triangles are congruent if they satisfy any of the following:
Two sides and the included angle of one triangle equal to the corresponding parts of the other one.
Two angles and the included side of one triangle equal to the corresponding parts of the other one.
All three sides of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.
Therefore, the answer is true.
Nice Question
Answer To It is TrueReason:- According To Isosceles Triangle Theorem:-
If two angles of a triangle are congruent, then sides opposite those angles are congruent.Hope This Helps You ❤️If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?
Answers
Just multiply 15 and 5 which gives you 75. Take 525 and divide it by 75 and you get 7. You can check your answer by multiplying (what you got for your answer) x 5, then that result is multiplied by 15 and you should get 525.
Hope it helps :D
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answers
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476? Please I need an answer ASAP
Answers
Answer:
adults = 52
children = 108
Step-by-step explanation:
two equations can be derived from the question
x + y = 160 equation 1
2x + 5y = 476 equation 2
x = number of children
y = number of adults
multiply equation 1 by 2
2x + 2y = 320 equation 3
subtract equation 1 from 2
3y = 156
y =52
substitute for y in equation 1
x + 52 = 108
x = 160 - 52 = 108
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answers
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
Marking brainliest
What is your favorite form of getting exercise?
Answers
Answer: Playing sports!!
Find the distance speed=96km/h time=20 mins
Answers
Answer:
32km
Step-by-step explanation:
speed=96km/h
time=20mins=1/3hour
Distance=Speed×Time➜96×1/3
➜96/3
➜32km
Pls help!!!!
Find the center, vertices, foci, and asymptotes of the hyperbola. 9y^2-36x^2=324
Answers
Answer:
Center: (0, 0)
Vertices: (0, 6), (0, -6)
Foci: (0, 3√5), (0, -3√5)
Asymptotes: y = 2x, y = -2x
Step-by-step explanation:
7} = (4) -55) = 0
12
12
410
My Progress
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I NEED HELP ASAP
Answers
Answer:
-12
Step-by-step explanation:
look at the screenshot pls help
Answers
Answer:
A = 6
B = 5.5
Step-by-step explanation:
16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11
yes
Step-by-step explanation:
what's the value of x?
Answers
Answer:
x=40
Step-by-step explanation:
Reflections have to be equal to each other.
Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.
If this helps please mark as brainliest
Answer:
X=40 pls mark brainlist it would really help
Step-by-step explanation:
3x-6 must equal 114. So...
3x-6=114
+6 +6
3x=120
/3 /3
x=40