The house is 10 units far from the base of the ladder?
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that
length of ladder = 26 feet
And height of house = 24 feet
According to given scenario it will form a right angled triangle.
In which the length of ladder is hypotenuse
Height of house be perpendicular
And base we have to calculate.
We know that the Pythagoras theorem for a right angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
Now plug the values
(26)²= (24)² + (Base)²
(26)²= (24)² + (Base)²
676 = 576 + (Base)²
(Base)² = 100
Base = 10 units
Thus, the base is of 10 units.
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Which of the following statements about closure is false?
Answer:
Option C is false.
Step-by-step explanation:
The correct answer is:
C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
This is false because sometimes when we divide polynomials, one polynomial does not gets completely or evenly divided by the other.
In such cases, we get a remainder which is not a monomial as the variable has a negative power. This means the quotient is not a polynomial.
We can show this by example : suppose we want to divide
[tex]x^{-6}[/tex]by [tex]x^{2}[/tex]
=> [tex]\frac{x^{-6} }{x^{2} }[/tex]
=> [tex]x^{-6-2}[/tex] =>[tex]x^{-8}[/tex]
This is not a polynomial. So the closure property does not hold true for division of polynomials.
What did cicero mean by delivery
cicero meant to transfer something to someone .
Answer:
Body language and vocal technique
Step-by-step explanation:
Help for the two questions shown.
(1) the answer for this question is 33 metre square
rectangle is 4*7 that is 28meter square +5 m^2
33m^2
(2) answer for this question is 19 yard square
area of square is 3*3 that is 9m^2+10m^2
19m^2
hope it helps you !!!!!!!
The sides of ∠A are tangent to circle k(O) with radius r. Find: r, if OA=14 dm, m∠A=90°.
Answer:
r = √98
Step-by-step explanation:
angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:
r^2 + r^2 = 14^2
2r^2 = 14^2
2r^2 = 196
r^2 = 98
r = √98
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The angle A is 90 degree.
The side OA is 14.
There will be a right triangle formed.
So, Using Pythagorean theorem,
[tex]r^2+r^2=14^2[/tex]
[tex]2r^2=196[/tex]
Dividing 2 in both sides
[tex]r^2=\frac{196}{2}=98[/tex]
[tex]r=\sqrt{98}[/tex]
[tex]r=7\sqrt{2}[/tex]
So,the answer is [tex]7\sqrt{2}[/tex] : Answer
Hope it will help :)
PLZZZ HELP!!!
what is the slope of the line
Answer:
0
Step-by-step explanation:
The slope of a line is Change in y
--------------------
change in x
y does not change
0
------
change in x
Slope = 0
Horizontal lines have 0 slope
Vertical lines have undefined slope
PLZZZ HELP ASAP!!!!!!!!!!!!!!!!It is a 75 mile trip to your grandparent's house. Which divisibility rule proves that 75 is an odd number? A) divisibility by 1 B) divisibility by 2 C) divisibility by 3 D) divisibility by 5
Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !
Answer:
the answer is B) divisibility by 2
Step-by-step explanation:
I got the answer on the USA test prep.
thanks for your help with brainly
Find the total area of the solid figure.
90 sq. ft.
126 sq.ft
150 sq.ft
Answer:
90 sq. ft.
Step-by-step explanation:
The formula you need to use is length*width*height. If you plug the numbers given into the equation, you get 5*3*6. Multiply this for the answer.
Answer: The correct option is (B) 126 sq. feet.
Step-by-step explanation: We are given to find the total area of the solid figure.
We can see that the given solid figure is a cuboid.
The total area of a cuboid with length l units, breadth b units and height w units is given by
[tex]A=2(lb+bh+hl).[/tex]
For the given cuboid, we have
length, l = 5 feet,
breadth, b = 3 feet and
height, h = 6 feet.
Therefore, the total area of the given cuboid will be
[tex]A=2(5\times 3+3\times6+6\times 5)=2(15+18+30)=2\times63=126~\textup{sq. feet}.[/tex]
Thus, the total area of teh solid figure is 126 sq. feet.
Option (B) is CORRECT.
Evaluate 3C1.
a)3
b)1
c)2
d)6
Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.
[tex]n = 3\\\\r = 1[/tex]
So :
[tex]3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3[/tex]
I need help please.
Answer:
i think this is it
Step-by-step explanation:
the answer i got is just 55
Please answer right away and don’t guess
Answer:
Last Option
[tex]P (B) = 0.6[/tex]
Step-by-step explanation:
We have the Venn diagram that shows the probabilities of occurrence of 3 events A, B and C
In this case, since events A and B and B and C are non-disjoint events, then the probability of occurrence B is the sum of the probability that only B will occur plus the probability of occuring A and B plus the probability that B and C occur
This is:
[tex]P (B) = 0.1 +0.3 +0.2[/tex]
[tex]P (B) = 0.6[/tex].
find the distance between the points (0,8) amd (8,5)
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
Use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the points.
8 - 0 = 8
8^2 = 64
5 - 8 = -3
-3^2 = 9
64 + 9 = 73
[tex]d=\sqrt{73}[/tex]
Leah loves chicken wings and is comparing the deals atThree different restaurants Buffalo Bills has eight wings for seven dollars Buffalo wild wings have 12 wings for $10 fingers has 20 wings for $17 which restaurant offers the lowest price per wing
Buffalo Bills has the lowest price per wing. To find the answer divide the number of wings by the price to see how much it is per wing.
Buffalo Wild Wings offers the lowest cost per wing at $0.833, compared to $0.875 at Buffalo Bills and $0.85 at Fingers.
Buffalo Bills: 8 wings for $7 means $7 ÷ 8 wings = $0.875 per wing.Buffalo Wild Wings: 12 wings for $10 means $10 ÷ 12 wings = $0.833 per wing.Fingers: 20 wings for $17 means $17 ÷ 20 wings = $0.85 per wing.Comparing these values, Buffalo Wild Wings offers the lowest cost per wing at $0.833.
Find the value of X answer in simplest form
Answer:
14.14
Step-by-step explanation:
You can find the value of x using the trig ratio Sine = opposite/hypotenuse.
The sin 45 = 10/x. Solve for x.
x= 10/ sin45
x = 10/0.707
x = 14.14
You can choose from three types of sandwiches for lunch and three types of juice. How many possible lunch combinations of sandwich and juice can you have?
Answer:
9
Step-by-step explanation:
The number of possible lunch combinations of sandwich and juice are 9.
If we have to choose r objects out of n objects and then arrange them among themselves, then we first choose the objects in ⁿCr ways and then arrange them in ways.
This can be used to find the number of different combinations possible of the sandwiches and juices.
Ways to select the sandwiches from 3 options = ³C₁ = 3!/1!(3-1)!
Ways to select the juice from 3 options = ³C₁ = 3!/1!(3-1)!
= ³C₁ = 3!/1!(3-1)!
Now, the total types of possible lunch combinations that can be created as 3×3=9
Hence, the number of possible lunch combinations of sandwich and juice are 9.
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A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?
Answer:
[tex]\frac{3}{8}[/tex] cups of oil
Step-by-step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by [tex]\frac{2}{3}[/tex] cup of water = [tex]\frac{1}{4}[/tex]
Oil required by 1 cup of water = [tex]\frac{\frac{1}{4}}{\frac{2}{3}}[/tex]
= [tex]\frac{3}{8}[/tex]
Hence [tex]\frac{3}{8}[/tex] cups of oil is needed for per cup of water.
The oil required for one cup of water is 3/8 cup.
How do you calculate the quantity of oil?Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.
The quantities of oil and water are given in fractions. We can write as,
[tex]\dfrac {1}{4}cup \; oil = \dfrac {2}{3} cup\;water[/tex]
[tex]1 cup\;water = \dfrac {\dfrac {1}{4}cup\;oil}{\dfrac{2}{3}}[/tex]
[tex]1cup\;water = \dfrac {3}{8}cup\;oil[/tex]
Hence we can conclude that the oil required for one cup of water is 3/8 cup.
To know more about fractions, folow the link given below.
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What is the slope of this line
Answer:
The slope is 1
Step-by-step explanation:
The slope of the line is also its gradient. A gradient is basically rise/run
In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1
Just by eyeballing the graph, you could see that the slope is 1: whenever x increases by 1, y will also increase by 1. Since the slope is defined as the ratio of the increments along the y and x axis, we have 1/1=1.
If you want to be more formal, you can pick any two points on the line, for example (0,1) and (3,4), and use the formula
[tex]m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{4-1}{3-0} = 1[/tex]
Trying to work out the perimeter of the total area & the area of the seating space and keep getting the wrong answers:
A) 187.8
B) 598
A is the correct answer I believe
Answer:
Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 meters
Area of Seating Space = 178 squared meters
Step-by-step explanation:
Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 m
Seating Space = 18.4*32.5 = 598
Basketball Court = 15*28 = 420
598 - 420 = 178
Area of Seating Space = 178 squared meters
Plz help me with this
Answer:
This is exponential growth
Step-by-step explanation:
The amount by which the function is increasing from point to point is increasing, so it must be a quadratic or exponential function. If it was a quadratic, the amount it increases by would be increasing by a steady amount. (Ex. x^2 increases by how much it increased the last time + 2). But because this is not what the data shows, the function must be exponential.
Answer: Exponential
Step-by-step explanation:
Find the slope of each tier:
2.654 6.290 14.909 35.335
∨ ∨ ∨
3.636 8.619 20.426 ← not equal so not linear
∨ ∨
4.983 11.807 ← not equal so not quadratic
We have run out of slopes to compare so the options are either exponential or logarithmic.
Refer to the graph below that contains the given coordinates. Since there is no apparent asymptote, it appears to be exponential.
Given: The measure of arc EY = The measure of arc YI, m∠EXY = 80°, and m∠K = 25°.
Find: The measure of arc EI.
PLEASE HELP ME WITH A PROBLEM FROM MY GEOMETRY HOMEWORK AS SOON AS POSSIBLE THANK YOU SO MUCH!!!
Kyle.
Let [tex]x=m\widehat{EY}=m\widehat{YI}[/tex]. By the inscribed angle theorem, we have
[tex]m\angle EJI=\dfrac12m\angle EOI=\dfrac12m\widehat{EI}=\dfrac{m\widehat{EY}+m\widehat{YI}}2=x^\circ[/tex]
Then
[tex]m\angle KJE=(180-x)^\circ[/tex]
Also by the inscribed angle theorem, we have
[tex]m\angle ELY=\dfrac12m\angle EOY=\dfrac12m\widehat{EY}=\left(\dfrac x2\right)^\circ[/tex]
so that
[tex]m\angle KLX=\left(180-\dfrac x2\right)^\circ[/tex]
Angles EXY and LXJ form a vertical pair so they are congruent and both have measure [tex]80^\circ[/tex].
The sum of the interior angles to any quadrilateral is [tex]360^\circ[/tex], so for quadrilateral KLXJ we get
[tex]25^\circ+\left(180-\dfrac x2\right)^\circ+(180-x)^\circ+80^\circ=360^\circ\implies x^\circ=70^\circ[/tex]
So,
[tex]m\widehat{EI}=2x^\circ=\boxed{140^\circ}[/tex]
Answer:
Step-by-step explanation:
Let . By the inscribed angle theorem, we have
Then
Also by the inscribed angle theorem, we have
so that
Angles EXY and LXJ form a vertical pair so they are congruent and both have measure .
The sum of the interior angles to any quadrilateral is , so for quadrilateral KLXJ we get
So,
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HURRY!!!!!!
I neeeed helpif you help ill put you on my stream maybe!!!
Answer:
Q1. is 628 cm
Q2 18.84 cm
Step-by-step explanation:
Q1. 400 / 2 = 200 to get the radius
3.14 * 200 = 628
Q2. 12 / 2 = 6 to get the radius
31.4 * 6 = 18.84
ABCD is a square.
What is the length of line segment DC?
5 units
7 units
11 units
13 units
It can be any of these. We cannot actually say without knowing the length of any of the other sides.
Answer:
D. 13 units
Step-by-step explanation:
worth 30 points!!!
Please help me
Answer:
1. true
2.True
3.False
4.false
Step-by-step explanation:
twice the difference of a number and 7 equals 2.
Hello there!
An equation to model the number is: n - 7 x 2 = 2
To find the equation, break apart the question.
twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2
twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.
twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.
The value of the number based on the information given is 8.
Let the number be represented by x.
Since we are given the equation that twice the difference of a number and 7 equals 2, the equation to solve this will be:
2(x - 7) = 2
2x - 14 = 2
2x = 2 + 14
2x = 16
x = 16/2
x = 8
The value of the number is 8
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{Answer the question below.}
Answer:
16÷25=0.64
0.64x2 =1.28
Step-by-step explanation:
3. The annual property taxes on Patrick's new home
are 1.89% of the value of the home. His home costs
$183,500. What are the property taxes on his new
home?
$7,450
$1,890
$1,835
$3,468.15
$3,725
$3.468.15
I just subtracted 1.89% from $183,500
$3,468.15.
To calculate Patrick's annual property taxes on his new home, we need to apply the property tax rate of 1.89% to the value of the home. The formula to calculate this is:
Property Taxes = Home Value imes Tax Rate
In this case, Patrick's home value is $183,500 and the tax rate is 1.89%. So, the calculation would be:
Property Taxes = $183,500 times 0.0189
When we perform this multiplication, we get:
Property Taxes = $3,468.15
Therefore, the property taxes on Patrick's new home are $3,468.15.
what is angle COD????
Given a straight line segment AB with points A, O, and B, and angle measures <COA, <COD, and <DOB, we find <COD to be 45 degrees using angle sum properties.
In the given scenario, we have a straight line segment AB, and points O, A, and B lying on it. We are required to find the measure of angle COD, denoted as <COD. According to the information provided, <COA is (3x + 94), <COD is (x + 36), and <DOB is (2x - 4).
Since A, O, and B are collinear, the sum of the angles around point O must be 180 degrees. Therefore, <COA + <COD + <DOB = 180 degrees. Substituting the given angle measures into the equation, we get:
(3x + 94) + (x + 36) + (2x - 4) = 180.
Combining like terms and solving for x:
6x + 126 = 180,
6x = 54,
x = 9.
Now that we have the value for x, we can find <COD by substituting it into the expression (x + 36):
<COD = 9 + 36 = 45 degrees.
Therefore, the measure of angle COD is 45 degrees.
a textbook has a length of 6 inches, a height of y inches, and a width of x inches. if the length of the diagonal of the front cover is 8 inches and the length of the diagonal of the width is 7 inches, find the values of x and y.
Answer:
Part 1) The value of x is [tex]2\sqrt{7}\ in[/tex]
Part 2) The value of y is [tex]\sqrt{21}\ in[/tex]
Step-by-step explanation:
Part 1
Find the value of x
Applying Pythagoras Theorem
[tex]8^{2}=x^{2} +6^{2}[/tex]
[tex]x^{2}=8^{2}-6^{2}[/tex]
[tex]x^{2}=28[/tex]
[tex]x=2\sqrt{7}\ in[/tex]
Part 2
Find the value of y
Applying Pythagoras Theorem
[tex]7^{2}=x^{2} +y^{2}[/tex]
substitute the value of x
[tex]7^{2}=28 +y^{2}[/tex]
[tex]y^{2}=7^{2}-28[/tex]
[tex]y^{2}=21[/tex]
[tex]y=\sqrt{21}\ in[/tex]
Geometry Question, high point value.
Answer:
m∠ACB = 8°Step-by-step explanation:
look at the picture
The answer is 29 degrees.
Evan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan’s history test?
Answer:
There are 40 total questions on his text.
Step-by-step explanation:
To find this, divide the number of questions he got right by the percentage of the total they represent.
32/80% = 40
Answer:
40?
Step-by-step explanation:
How do I solve this?
[tex]\text{The angle from the right is 30}^\circ \\ \\ \text{We use sinus theorem:}\\\\ \dfrac{y}{\sin(60)^{\circ}} = \dfrac{8}{\sin(30)^{\circ}} \Rightarrow \dfrac{y}{\dfrac{\sqrt{3}}{2}} = \dfrac{8}{\dfrac{1}{2}} \Rightarrow y = \dfrac{\sqrt 3}{2}\cdot 16\Rightarrow \boxed{y = 8\sqrt 3}[/tex]
Answer:
y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex], hence
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{8}[/tex]
Multiply both sides by 8
8 × tan60° = y, so
y = 8[tex]\sqrt{3}[/tex] ← exact value