Answer:
4 meters
Step-by-step explanation:
Let the height at which the top of the ladder is be represented by h. The sketch of the question forms a right angled triangle. So that applying the Pythagoras rule,
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]5^{2}[/tex] = [tex]h^{2}[/tex] + [tex]3^{2}[/tex]
25 = [tex]h^{2}[/tex] + 9
[tex]h^{2}[/tex] = 25 - 9
= 16
⇒ h = [tex]\sqrt{16}[/tex]
= 4
Therefore, the height at which the top of ladder is placed is 4 meters.
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Answer:
the second girl was. 59 seconds faster than the first girl.
Step-by-step explanation:
14.47-13.88= .59
does anyone know the answers ???
Answer:
1) 3
2) -9
3) 12
4) 4
5) -1
Step-by-step explanation:
The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?
Answer:
Year - (1993 - 1995)
Step-by-step explanation:
Rate of change in the number of toys sold = [tex]\frac{\text{change in number of toys sold}}{\text{Time interval}}[/tex]
In the interval (1990 - 1993),
Rate of change in number of toys sold = [tex]\frac{32000-20000}{1993-1990}[/tex]
= [tex]\frac{12000}{3}[/tex]
= 4000
In the interval (1993 - 1995),
Rate of change = [tex]\frac{42000-32000}{1995-1993}[/tex]
= [tex]\frac{10000}{2}[/tex]
= 5000
In the interval (2000 - 1995),
Rate of change = [tex]\frac{57000-42000}{2000-1995}[/tex]
= [tex]\frac{15000}{5}[/tex]
= 3000
In the interval (2006 - 2000),
Rate of change = [tex]\frac{63000-57000}{2006-2000}[/tex]
= [tex]\frac{6000}{6}[/tex]
= 1000
Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).
I'll give brainly thing
Answer:
THE ANSWER IS B
Answer:
I would say your highlighted answer is the right one but theyres a site called Jiskha that can help better then brainly❤️
Step-by-step explanation:
Ronald Dairo is helping the local indus-
try in promoting papaya rosette. On the first
day, he produces 5,890 pieces of papaya
rosette, 7,020 pieces on the second day
8,150 pieces on the third day, and so on.
How many pieces of papaya rosette can Mr.
Dairo produce in 2 weeks?
As part of the annual Pagdihon Festival.
Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let
[tex]a_1 = 5890\\a_2 = 7020\\a_3 = 8150[/tex]
We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.
[tex]d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130[/tex]
It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values
[tex]a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n[/tex]
The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,
[tex]a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580[/tex]
Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
A recipe requires 8 cups of baking powder. You can only use 2/3 cups. How many 2/3 cups do you need for the recipe?
Answer:
Step-by-step explanation:
6/3 is 2 cups.
2/3 times 3 is 2.
12 of the 2/3 cups is your answer
That is my way of thinking. If you want the answer basically you divide 8 by 2/3. When you divide a fraction you multiply by its reciprocal.
8 3 =24 = 12
1 2 2 1
8 times 3/2 is equal to 24/2 or 12
You have a recipe for coconut cookies. The recipe makes 20 cookies. You need 100 cookies for a bake sale. Increase the recipe proportionally to make 100 cookies.
PLEASE HELPPP!!!!!
Answer:
A.) 10
B.)2 1/2
C.)3 1/3
D.)1 1/4
E.)6 2/3
Step-by-step explanation:
Multiply each by 5.
* Hope that helped
Find f(x + 3) if f(x) = 2x - 4
Find the slope of the line.
Can somebody please help me and/ or explain ?
Answer:
4/-2
Step-by-step explanation:
Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6 then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2
Jill already has saved $20 and she earns $5/hr for babysitting her little sister. The total amount of money she will have can be represented by the equation y = 5x + 20. What is the dependent variable and what does it represent in this problem?
Answer:
The dependent variable in the variable y, so it is the total cost that's dependent on the hour babysitter. It represent the total amount of money.
the value of the varriable which satisfies the equation is called the _______ of the equation
Answer:
solution
Step-by-step explanation:
solution is the answer
Catherine is at the Supermarket, and knows that she is 50 yards from her school. The map on her phone shows that the school is \large \frac{3}{4} inch from her current location. If Catherine's current location is 3 inches from home on the same map, how far is Catherine from her home? a 112.5 yards b 200 yards c 250.5 yards d 150 yards
Answer:
Answer: b 200 yards
Step-by-step explanation:
Scaling
Real magnitudes can be scaled up or down to adapt to the size of a sheet of paper or the screen of a computer or phone.
Catherine knows she is 50 yards from the school and it's shown as a distance of 3/4 inch on her phone map.
We can calculate the scaling factor from the real distance to the map distance by dividing:
[tex]\displaystyle \frac{50}{\frac{3}{4}}=\frac{200}{3}[/tex]
Now she sees that she's 3 inches from home on the same map. This is equivalent to a real distance of:
[tex]\displaystyle 3\cdot \frac{200}{3}=200[/tex]
Catherine is 200 yards from her home.
Answer: b 200 yards
Write a linear function f with f(2)=−2 and f(1)=1.
Answer:
f(x) = -3x+b
Someone deleted my answer for no reason. I really don't like it when that happens. Anyway, here's the answer again :)
The sum of the digits in a two digit number is 14. If you reverse and double the original number, and then add the result to the original number, the sum is 222. Find the original number
Answer:
Step-by-step explanation:
Let the two digits be x and y, where x is the tens digit and y is the units (ones) digit.
Then the number is 10x + y.
From the question,
The sum of the digits in a two digit number is 14,
That is, x + y = 14 ....... (1)
Also, from the question,
If you reverse and double the original number, and then add the result to the original number, the sum is 222
If the number is reversed, the new number will be 10y + x; and if this is doubled, we will get 2(10y + x).
Now, if this is added to the original number (10x + y), the sum is 222.
That is,
2(10y + x) + (10x + y) = 222
Then,
20y + 2x + 10x + y = 222
12x + 21y = 222 ........ (2)
Now, we will bring the two equations together and solve simultaneously.
x + y = 14 ....... (1)
12x + 21y = 222 ........ (2)
From equation (1)
x + y = 14
Then, x = 14 - y ...... (3)
Substitute the value of x in equation (3) into equation (2)
12x + 21y = 222
12(14 - y) + 21y = 222
168 - 12y + 21y = 222
168 + 9y = 222
9y = 222 - 168
9y = 54
∴ y = 54/9
y = 6
To determine x, substitute the value of y into equation (3)
x = 14 - y
∴ x = 14 - 6
x = 8
∴ x = 8 and y = 6
Recall that, the two digits are x and y, where x is the tens digit and y is the units (ones) digit.
Hence, the original number is 86.
Question 9
V - 15 = -27
Pls find the value of V?
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
15
Step-by-step explanation:
Lets take the number of songs he download = x
So $1.29x = $20
So "x" = 20/4.29 = 15.5
So songs he can purchase = 15 songs
How many
solutions can
an equation
have?I
Answer:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
The cost of a 12-ounce bag of cashews is $5.86. What is the cost per ounce of the cashews, to the nearest penny?
Answer:
49 cents
Step-by-step explanation:
just divide 5.86 by 12
Answer:
$0.48
Step-by-step explanation:
$5.86 divided by 12 = 0.48 when rounded to the nearest penny.
can i get some help,kkkm mm
Answer:
?=25
Step-by-step explanation:
4 quarts per day. Express this rate of flow in liters per week.
Answer:
26.49787 or about 26.50 liters.
Step-by-step explanation:
4 quarts = 3.78541 liters
For the week = 3.78541 x 7 = 26.49787
Simplify the following by combing like terms.
Зm + 4m — бm
А) 7т
бп
в) 3т — 2n
c) Зm — 2т
D) Зm + 4п — бп
A CD player is on sale for $90 at an electronics store. If the original price was $125, what is the percent of discount?
Answer:
I belive it is 28% off
An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postulate that is the most direct way to prove the triangles similar.
Answer:
Step-by-step explanation:
Right Triangle Similarity
Acute Angle Similarity
If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.
In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .
So, ΔLMN∼ΔXYZ .
Leg-Leg Similarity
If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.
In the figure, ABPQ=BCQR .
So, ΔABC∼ΔPQR .
Hypotenuse-Leg Similarity
If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)
In the figure, DFST=DESR .
So, ΔDEF∼ΔSRT .
Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.
Write the cube root for each number
Answer:
13. 3
14. 13
15. 17
16. 19
17. 20
18. 10
Step-by-step explanation:
helppppppppppppppp plssssssssssssssss
Answer:
hope his helps ...................
Two dice are rolled. Determine the probability of the following: rolling an even number or doubles
Answer: If you mean at least one of the dice shows an odd number, then since there's a 0.25 = 0.5 x 0.5 probability of both dice being even, there's a 1 - 0.25 = 0.75 probability at least one of the dice is odd. However.. The probability that the first die is even and the total of the two dice is 8 is 3/36 since (6,2), (2,6), and (4,4) are 3 of the 36 outcomes in which the first die is even and the total is 8. sorry I could only explain, hopefully you can figure it out from here :(
Step-by-step explanation:
1/4x - 5 = 3/4x - 12
Answer:
Solve for x
x=14
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable.
2) A snail moving at 3.6 m/h; convert to mm/s
Answer:
60mm/s
Step-by-step explanation:
Plz give brianliest and push the thanks button
so my question is that i have -2(p+3)+4p but i dont know what to do
Answer:
-2(p+3)+4p = 2p - 6
Step-by-step explanation:
Step 1: Distribute the -2 to the (p) and (3) which equals = -2p-6
Step 2: Combine Like Terms: -2p - 6 +4p --> 2p - 6
Fill in the value of the absolute value in the blanks below:
a) |-4 =
b) |10| =
Answer:
a) 4
b) 10
Thank you and please rate me as brainliest as it will help me to level up
