the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need
Answer:
36 pegs (for the hypotenuse)
About 51 pegs (for the legs)
138 pegs (total)
Step-by-step explanation:
Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.
The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.
Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.
Hope it helps!
Just the answers please
Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?
Answer:
96
Step-by-step explanation:
3M=T
T-24=M+24
substitute for T in second equation
3M-24=M+24
solve for M
M=48/2; M=24
and T=72
together is 96
Quince menos que un numero
Answer:
14 xd xd xd
Step-by-step explanation:
xd xd xd
Answer:
fifteen less than a number.
ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?
Answer:
23 of the coins will be quarters
Step-by-step explanation:
Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease.
Round your answer to the nearest percent.
Do NOT round until you have calculated the final answer.
Answer:
The percent decrease was of 32%.
Step-by-step explanation:
The percent decrease is the decrease multiplied by 100, and divided by the initial value.
Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month.
So a decrease of 83.75 - 56.95 = $26.80
Percent decrease:
26.80*100/83.75 = 32%
The percent decrease was of 32%.
Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box?
a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred
Answer:
The cost per pound of the ham is $5.89.
Step-by-step explanation:
Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:
1 kg = 2.20462 pounds
2.20462 = 13
1 = X
((1 x 13) / 2.20462) = X
13 / 2.20462 = X
5.89 = X
Therefore, the cost per pound of the ham is $5.89.
Hello
Can anyone answer this
9+x=190
Answer:
9+x=190
Step-by-step explanation:
9+181=190
1) f(x)=2x+5
What is -2 [f(x)]-1?
Answer:
-4x - 11
Step-by-step explanation:
-2[f(x)] - 1
= -2[2x + 5] - 1
= -4x - 10 - 1
= -4x - 11
A ball is kicked straight up into the air from a height of 48ft with an initial velocity of 88 ft/s. After how many seconds does the ball hit the ground?
The time taken will be "0.5 seconds".
Newton's Law:According to the question,
Initial velocity, u = 88 ft/sHeight, h = 48 ftAcceleration due to gravity, g = 32 ft/s²By using Newton's equation,
→ [tex]s = ut+\frac{1}{2}gt^2[/tex]
Substituting the values,
[tex]48=88t+0.5\times 32\times t^2[/tex]
[tex]16t^2+886-48=0[/tex]
[tex]t = 0.5 \ seconds[/tex]
Thus the above solution is right.
Find out more information about velocity here:
https://brainly.com/question/21320166
6. Red carpet tiles need to go on the dance floor for the
valentine's dance. The floor has a length of 9m and a width
of 8m. What is the area of the dance floor?
7. Use information from Q6 above
Each tile is 25cm by 25cm.
How many tiles do you need for the dance floor?
Answer:
6. 72 m²
7. 1152 tiles
Step-by-step explanation:
6. Determination of the area of the dance floor.
Length (L) = 9 m
Width (W) = 8 m
Area (A) =?
Area of the floor (rectangle) = L × W
A = 9 × 8
A = 72 m²
Therefore, the area of the dance floor is 72 m²
7. Determination of the number of tiles needed for the dance floor.
We'll begin by converting the dimension of the tile to metre (m). This can be obtained as follow:
100 cm = 1 m
Therefore,
25 cm = 25 cm × 1 m / 100 cm
25 cm = 0.25 m
Thus, the dimension of the tile is 0.25 m by 0.25 m
Next, we shall determine the area of the tile. This can be obtained as follow:
Dimension of tile = 0.25 m by 0.25 m
Area of tile = 0.25 × 0.25
Area of tile = 0.0625 m²
Finally, we shall determine the number of tile needed. This can be obtained as follow:
Area of the floor (Aₔ) = 72 m²
Area of tile (Aₜ) = 0.0625 m²
Number of tile (n) =?
n = Aₔ / Aₜ
n = 72 / 0.0625
n = 1152 tiles
Therefore, the number of tiles needed for the dance floor is 1152 tiles
please help me please i really need help please
Answer:
Step-by-step explanation:
(3x+3y)=63x + -3y = 6
3x + -3y = 6
3x + -3y + 3y = 6 + 3y
3x + 0 = 6 + 3y
3x = 6 + 3y
x = 2 + y
x = 2 + y
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left.
Select all the equations that represent this situation.
Answer:
24 - X = 10
Step-by-step explanation:
Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:
Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.
Thus, this equation is solved in the following way:
24 - X = 10
24 = 10 + X
24 - 10 = X
14 = X
Find the total amount in Mr. G’s account, if he invests $9000 for 5 years at a 6% interest rate.
Answer:
20,000
Step-by-step explanation:
for 5 6% at those with division 20,000 together and they would have 20,000
A person walks 1/7
mile in
1/21
hour.
The person's speed is
miles per hour. help me pls fast
Answer:
3 Miles per hour. (MPH)
Step-by-step explanation:
This would be 1/7 x 21 = 21/7 = 3
Forms of Quadratic equations
Please help me out
Standard form:
1. y = x² - 4x - 5
2. y = x² - 2x - 8
3. y = x² + 4x - 21
4. y = x² + 12x + 20
5. y = x² + 8x + 12
6. y = x² + 4x + 3
7. y = x² - 8x + 7
8. y = x² - 6x + 8
9. y = x² + 10x - 11
Vertex form:
1. (x - 2)² - 9
2. ----
3. (x + 2)² - 25
4. ----
5. (x + 4)² - 4
6. (x + 2)² - 1
7. ----
8. (x - 3)² - 1
9. (x + 5)² - 36
Factored form
1. (x + 1) (x - 5)
2. (x + 2) (x - 4)
3. (x - 3) (x + 7)
4. (x + 10) (x + 2)
5. (x + 6) (x + 2)
6. (x + 3) (x + 1)
7. (x - 7) (x - 1)
8. (x - 2) (x - 4)
9. (x + 11) (x - 1)
Questions
1. Factored form
2. Factored form
3. Vertex form
4. Standard form
5. Standard form
6. Vertex form
NB: Finally finished ^-^ I hope all the answers to the questions are correct.
Why doesn't the SSA triplet guarantee triangle congruence?
Answer: Because Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.The AS.S Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILY congruent. And The SSA (or AS.S) combination deals with two sides and the non-included angle. This combination is humorously referred to as the "Donkey Theorem". SS.A (or AS.S) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.
Step-by-step explanation:
hope this helps have a great night ❤️❤️❤️❤️
I need this solved please.
Answer: 4 quizzes each week
Step-by-step explanation: all you have to do it divide the numbers like 12 divided by 3 would be 4
Land's Beginning is a company that sells its merchandise through the mail. It is considering buying a list of addresses from a magazine. The magazine claims that at least 25% of its subscribers have high incomes (they define this to be household income in excess of $100,000). Land's Beginning would like to estimate the proportion of high-income people on the list. Checking income is very difficult and expensive but another company offers this service. Land's Beginning will pay to find incomes for an SRS of people on the magazine's list. They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
Solution :
It is given that we use CI = 95%
Therefore, the value of z = 1.96 as the [tex]$P(-1.96 <z<1.96)=0.95$[/tex]
Also, here it is given that E = 0.05 and the value of p = 0.25
Thus from the formula of E, we can find n
[tex]$E= z \times \sqrt{\frac{pq}{n}}[/tex]
[tex]$n= \left(\frac{z}{E}\right)^2 \times p \times q$[/tex]
[tex]$n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$[/tex]
= 288.12
= 289
4.5=2c I need help plz
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
Find the measure of each missing angle.
9514 1404 393
Answer:
35°145°55°125°55°Step-by-step explanation:
The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.
Angles 2 and 4 are the supplements of angles 1 and 5, respectively.
∠1 = 35°
∠2 = 180° -35° = 145°
∠3 = ∠5 = 90° -35° = 55°
∠4 = 180° -55° = 125°
the difference of two number one of which is one third of the other is 18 find the number
Answer:
Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no hope at all
Step-by-step explanation:
you can do it!!!
Which is the complete factorization of this expression?
-24x + 64
es =))
A)
8(2x - 8)
B)
-8(X + 8)
-8(3x - 8)
D)
-8(3x + 8)
Answer:
-8(3x-8)
Step-by-step explanation:
factor -8 out of -24x+64
Answer:
-8(3x-8)
Step-by-step explanation:
21 = 7 + 4f what is f
Answer:
f= 3.5
Step-by-step explanation:
Look at attachment for further explanation
Hope this helps (:
A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
a) Write down the probability that one of these five numbers is 3
b) Work out the least possible sum of the five numbers
(a). The probability that one of these five numbers is 3 is [tex]\frac{5}{6}[/tex].
(b). The least possible sum of the five numbers is 15
Probability:Probability is the ratio of number of favourable outcomes to the total number of outcomes.
When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.
The probability that one of these five numbers is 3 is computed as,
[tex]P(E)=\frac{5}{6}[/tex]
The least possible sum of the five numbers, when the number 6 is hidden.
Least sum = 1 + 2 + 3 + 4 + 5 = 15
Learn more about the probability here:
https://brainly.com/question/24756209
which expression is equivalent to 5* 5 * 5?
Answer:
three one
Step-by-step explanation:
5*5*5
Are lines e and f parallel? Show your work.
Answer:
last two both should be = 180
Step-by-step explanation:
13.6.4 Quiz: The Quadratic Formula
Which two values of x are roots of the polynomial below?
x²-3x+5
O A. X=3--11
x3
O B. X=-3-17
I c. x= -3+
-3+ VTT
I D. X=
3-√23
Ex=
3+ -11
DEX=
3+29
1. Write the standard form of the 6 in the numbel
. *
1 p
792,348,612
Answer:
600
Step-by-step explanation:
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