a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?
Answer: 1 foot
Answer:
5 ft
Step-by-step explanation:
Ladder top, the wall and the horizontal distance will form a right triangle with:
Hypotenuse = 13 ftVertical leg = 12 ftHorizontal leg = xAs per Pythagorean theorem:
x² + 12² = 13²x² = 169 - 144x² = 25x =√25x = 5 ftthe area of a circle is 32 pi square units find its perimeter
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]
Step-by-step explanation:
Area of a circle ( A ) = 32 π units
Radius of a circle ( r ) = ?
Perimeter of a circle ( P ) = ?
First ,finding the radius of a circle :
[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]
[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]
[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]
[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]
Finding the perimeter of a circle ( P )
[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]
[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]
Hope I helped!
Best regards! :D
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Given,
The area of a circle is 32 π square units.
We need to find its perimeter.
What is the area of a circle?The area of a circle is given by:
= π r²
The perimeter of a circle is given by:
= 2πr
Where r = radius
Find the area of a circle.
Area = π r²
32 π = π r²
Divide both sides by π
32 = r²
r = ±√32
r can not be negative so we have,
r = √32
Find the perimeter of a circle.
P = 2πr
P = 2 x π x √32
P = 2√32 π units
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Learn more about how to find the circumference of the circle and the area of the circle here:
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Drag each tile to the correct box.
Place the steps of the respiration process in the correct order.
Air passes from the trachea to the
bronchi,
Oxygen enters tilblood cells.
Air enters the nostrils.
Air diffuses from the alveoli to the blood
cells.
Blood transports oxygen to other cells.
Answer:
Step-by-step explanation:1. Air enters the nostrils: The human nose has two openings, which are called as nostrils. The air from the surrounding atmosphere enters the human body firstly, through nostrils and than enters inside the nasal cavity.
2. Air passes from the trachea to the bronchi: The air through nasal cavity passes towards pharynx to larynx, then to trachea and the air enters into the lungs inside the branching network of small tubes called as bronchi.
3. Air diffuses from the alveoli to the blood cells: The brochial tubes are further, branched into small alveoli. At alveoli the exchange of oxygen and carbon dioxide containing blood takes place.
4.Oxygen enters the blood cells: The oxygen carrying blood passes from the alveoli into the capillaries, whereas carbon dioxide passes from the capillaries into the alveoli.
5. Blood transports oxygen to other cell: The blood flows from the lungs transports oxygen to all the cells of the body.
Answer:
1. Air enters the nostrils
2. Air passes from the trachea to the bronchi
3. Air diffuses from the alveoli to the blood cells
4.Oxygen enters the blood cells
5. Blood transports oxygen to other cell
Step-by-step explanation:
Solve for X in the following proportion: 6/33 = 24/x
Answer:
132
Step-by-step explanation:
We are given the equation 6/33 = 24/x. We would like to solve for x.
To get rid of the fractions, let's multiply both sides by 33x:
(6/33) * 33x = (24/x) * 33x
6x = 24 * 33 = 792
Divide by 6 from both sides:
x = 792/6 = 132
Thus, x = 132.
~ an aesthetics lover
If you have fifty-four pieces of candy that need to be split up evenly
between you and your five friends, how much will each of you get?
"You" and your "5 friends" means that there are 6 people total.
All we need to do is divide.
54 / 6 = 9
Therefore, each person gets 9 pieces of candy.
Best of Luck!
Together, Chelsea and Essence have $192. If Chelsea has a third of the amount of money that Essence has, find out how much money each person has individually.
Answer:
Chelsea has $48, Essence has $144
Step-by-step explanation:
how to factorise the difference of perfect squares. for the g on the top and j on the top
Answer:
see explanation
Step-by-step explanation:
A difference of two squares is factored as
a² - b² = (a - b)(a + b)
(g)
1 - 81y²
= 1² - (9y)²
= (1 - 9y)(1 + 9y)
(j)
64x² - 25y²
= (8x)² - (5y)²
= (8x - 5y)(8x + 5y)
A red marble is selected at random from a bag containing 2 blues and 9 red marbles and is not replaced.the probability that a second marble selected will also be red is
Answer:
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Step-by-step explanation:
It seems to me that if one red marble is already gone, there are 8 red marbles left out of a total of 10 marbles.
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Answer:
8/10 or 4/5 or 0.8
Step-by-step explanation:
since one red marble is already taken, there are only eight remaining now and the total number of marbles are ten now. So you have to divide.
Therefore, the probability is 8/10 or 4/5 or 0.8.
HELP which equation is modeled below
Answer:
the last one
Step-by-step explanation:
because you have three xś and 2 negative ones add those together and you get -2 then the last bit is the answer which i checked is correct. i'm eighth grade so i am correct.
Glad to help.
Carol got $500 for her birthday. She wants to buy some video games and a gaming system. An Xbox 1 costs $278. A new game costs $62. What is the most amount of games Carol can afford?
Answer:
She can buy 3 games.
Step-by-step explanation:
Giving the following information:
Carol got $500 for her birthday.
Xbox 1= $278
A new game costs $62
First, we need to structure the total cost formula:
Total cost= 278 + 62x
x= number of games
Now, we can isolate x:
500= 278 + 62x
222/62= x
3.58=x
She can buy 3 games.
What are the perimeter and the area of the square?
80
200
400
8√5
16√5
32√5
Answer:
680
8√5=17.8
16√5=75.7
32√5=71.5
Step-by-step explanation:
Help me find the slope using the points on the graph below.
Answer:
3/-4 i think
Step-by-step explanation:
one point is -2/1 and the other 2/-2
1 - -2=3
-2 -2=-4
Molly bought a large basket of 6060 apples. When she got home, she found 44 rotten ones. If she goes back and buys 200200 more apples, how many rotten apples would she expect there to be?
Answer: 13
Step-by-step explanation:
This is the correct question:
Molly bought a large basket of 60 apples. When she got home, she found 4 rotten ones. If she goes back and buys 200 more apples, how many rotten apples would she expect there to be?
From 60 apples, there are 4 rotten apples. This gives a fraction of:
= 4/60
= 0.06667
Therefore, when she buys 200 apples, tge number of rotten ones expected will be:
= 0.06667 × 200
= 13.334
= 13 approximately
What is the image of (-1,1) after dilation of 2
Answer: (-2,2)
Step-by-step explanation:
Multiply the x and y coordinates by the scale factor to find the new point or the image.
-1 * 2 = -2
1 *2 = 2
(-2,2)
Find AB given A(-4, 1) and B(3, -1).
Answer:
d = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
4g + 7g2 - 9 is a (select)
(select)
Answer:
an equation.
Step-by-step explanation:
a statement of the equality of two mathematical expressions.
Answer: Quadratic trinomial
The largest exponent is 2, so the degree is 2. This makes the polynomial a quadratic.
It is also a trinomial as there are 3 terms. Each term is separated by a plus or a minus. It might help to think of 4g+7g^2-9 as 4g+7g^2+(-9).
What is the area of the rectangle below?
10
13
Answer:
C, 130
Step-by-step explanation:
Area is just length x width, it would just be 13*10
Answer:
C) 130 sq. units
Step-by-step explanation:
it's what I got
What is the product 70 × 10^4? a 70,000 b 700,000 c 280 d 704
The correct answer is B. 700,000
The ratio teachers to students at a school is 3: 74. There are 2500 students at the school. About how many teachers are at the school?
Step-by-step explanation:
3:74
x:2500
(3x2500)/74
=101
Answer:
100
Step-by-step explanation:
Alexander was given a gift card for a coffee shop. Each morning, Alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
Answer: [tex]A = 15 - 4x[/tex] .
Step-by-step explanation:
Total amount remaining = Initial amount in the card-( Cost per cup × (Number of cups) )
Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance.
i.e. 9 = Initial amount in card - (1.50 × 4)
⇒ 9 = Initial amount in card - (6)
⇒ Initial amount in card = 9+-6 =15
⇒ Initial amount in card = $15
Let A be the amount money remaining on the card after buying x cups of coffee.
So, A = 15 - 4x
Hence, the required equation is [tex]A = 15 - 4x[/tex] .
Answer:
A= -1.50x+15
Step-by-step explanation:
Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH
Answer:
GH = 20
Step-by-step explanation:
We have that
FH = FG + GH ← substitute values
4x + 8 = x + 5x
4x + 8 = 6x ( subtract 4x from both sides )
8 = 2x ( divide both sides by 2 )
4 = x
Hence GH = 5x = 5 × 4 = 20GH = 20
identify whether or not the following features are represents in the above diagram. for each feature that is represented write the name(s) denoted in the diagram.
Answer:
The rays represented in the diagram includes
Ray AB, NB, BN, BA
The vertex where rays NB and NA meets = N
Step-by-step explanation:
A ray is a line segment that extends endlessly from a given point. A ray is a line that has unbounded endpoint but has a start or endpoint.
A vertex is the point or corner which is the meeting point of two or more lines or rays. In the question, the meeting point of the rays NB and NA is the point N, which can be said to be the vertex of the two rays.
The relation {(-1, 4), (2, 7), (3, 7)} is a function. TrueFalse
Answer:
True
Step-by-step explanation:
Every x has only one y-value
Answer:
True
Step-by-step explanation:
I’ll give brainliest pls help me:0
Answer:
68719476736
Step-by-step explanation:
(4−2)−9
=(4−2)−9
=4(−2)(−9)
=418
=68719476736
Answer:
This is pretty simple, im almost certain you just make all exponents positive.
Step-by-step explanation:
so just make it 4 to the power of 2, to the power of 9
(GIVING BRANLIEST AND 100 POINTS) What is 4/2?
To simplify the fraction, we can divide.
4 / 2 = 2
Therefore, 4/2 is the same as 2.
Best of Luck!
Answer:
4/2 is equal to 2
Step-by-step explanation:
What is 4/2?
If you want to simplify 4/2, you will have to divide.
Let's divide.
[tex]\frac{4}{2}=2[/tex]
Hope this helps!
Help me please I’ll give you brainliest
Answer:
B) 7 2/3, √3/2, 4/5, -2π, -6.5
Step-by-step explanation:
B) 7 2/3, √3/2, 4/5, -2π, -6.5
[tex]p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q.[/tex]
Answer:
[tex]p + q = -6[/tex]
Step-by-step explanation:
[tex]p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p[/tex]
[tex]( p + q) ( p-q) = 6 ( q - p )[/tex]
[tex]p + q = \frac{6 ( q - p)}{(p-q)} \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6[/tex]
Map of Indiana is being made to a scale of 1/2 in:20 mi. Indianapolis is 120 miles from Fort Wayne how far apart from each other will they appear on this map
Given f(x) =
+ 2, find f(0)
Answer:
B
Step-by-step explanation:
toookt the test dude
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (a) how many progressions are possible (b) what are the smallest and largest possble values of the first term?
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
Sum of terms:
Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19dIn order a₁ to be an integer, d must be even number, so d = 2k
202 = 2a₁ + 38k101 = a₁ + 19kPossible values of k= 1,2,3,4,5
k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16As per above,
a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82Answer:
:) not right
Step-by-step explanation:
Use the diagram showing points P and Q. Determine which point is the remaining vertex of a triangle with an area of 4 square units. 1. R(2, 0) 2. S(-2, -1) 3. T(-1, 0) 4. U(2, -2)
Answer:
S(-2,-1)
Step-by-step explanation:
The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1). Then the correct option is B.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The distance between the points P and Q will be 4 units.
If the ordinate of the point is (a, 3) or (b, -1). Then the area of the triangle will be 4 square units.
The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1).
Then the correct option is B.
More about the area of the right-angle triangle link is given below.
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