In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
Answers
Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl
Step-by-step explanation:
ez ezz
The value of x in the right-angle triangle is 2√3.
What is a right-angle triangle?A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.
In the given figure,
BC = 6cm
DC = 6/2 = 3cm
By formula of angle on a straight line,
∠EDB = 180° - (90°+60°)
= 180° - 150°
= 30°.
From right-angled triangle ADC,
AD² = 5² -3² (As per Pythagoras theorem)
= 25 - 9
= 16.
So, AD = √16
= 4cm.
From ∠AEC. let AS = x.
w/Sin60° = 4/Sin90°
We know,
Sin90° = 1
Sin60° = √3/2
⇒ x = (4 × Sin60°)/Sin90°
⇒ x = 4 × √3/2
⇒ x = 2√3
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The complete question is:
In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
Related Questions
Select all expressions that are equivalent to (2n+6)(n+3)
Answers
The expressions equivalent to (2n+6)(n+3) are Options C and F, E, F.
To determine which expressions are equivalent to (2n+6)(n+3), we can first expand this expression using the distributive property (also known as the FOIL method for binomials). This gives us:
[tex]2n \times n = 2n^2\\2n \times 3 = 6n\\6 \times n = 6n\\6 \times 3 = 18[/tex]Combining like terms (6n + 6n) gives us the expression [tex]2n^2 + 12n + 18[/tex]. Therefore, option C is equivalent to (2n+6)(n+3).
Looking at option F, [tex]2(n+3)^2[/tex] is indeed the same as (2n+6)(n+3) because if we expand[tex](n+3)^2[/tex], we get [tex]n^2 + 6n + 9[/tex], and multiplying the whole expression by 2 yields [tex]2n^2 + 12n + 18[/tex], which matches our previous result.
Option B, [tex]2n^2+6n+18[/tex], is not equivalent because it lacks the combined coefficient for the n terms that should be 12n rather than 6n. Option A is also correct. Option E, 2(n+3)(n+3), is just a different way of writing option F and is therefore equivalent. Option D, 12n+18, doesn't have the [tex]n^2[/tex] term, so it's not equivalent to the original expression.
10+20= answer and explanation please
Answers
Answer:is 30
Step-by-step explanation:
So u can say 5+5=10, well if the answer is 10 then 10+10= 20 and then if u add 10 to 20 you will get 30
£150 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as Henry. How much does David get?
Answers
Answer:
David receives £90
Step-by-step explanation:
Let David's share be D
Let Mark's share be M
Let Henry's share be H
From the question, we obtained the following data:
David gets twice as much as Mark i.e
D = 2M
M = D/2
Mark gets three times as much as Henry i.e
M = 3H
H = M/3
H = (D/2) /3
H = D/6
The sum of their shares is £150 i.e
D + M + H = 150
D + D/2 + D/6 = 150
Multiply through by 6 to clear the fraction
6D + 3D + D = 900
10D = 900
Divide both side by the coefficient of D i.e 10
D = 900/10
D = 90
Therefore, David receives £90
15 arches decreased by 80%
Answers
If it decreases by 80٪, then only 20٪ remains.
15×20٪=15×20/100=15×0.2=3
Answer: 3
Answer:
3 arches
Step-by-step explanation:
Given
15 arches decreased by 80%.
First get 80% of 15 arches
That’s 80%/100% x 15
0.8 x 15
12 arches
Now subtract 12 arches from 15 arches to get the decrease
Decrease = (15 - 12) arches
= 3 arches
Therefore, 80% decrease of 15 inches is equal to 3 arches
Which statement about fractions that are equivalent to 1 is correct?The denominator is greater than the numerator. The denominator is equal to the numerator. The numerator is greater than the denominator. The denominator is twice the numerator.
Answers
The denominator is equal to the numerator.
Step-by-step explanation:
For a fraction to be equal to 1, the value of denominator and the value of numerator should be same.For instance, the fraction 2/2 = 1 because the number in the denominator is 2 and the numerator is also 2.Both cancel out each other that is equal to 1.The Tran family uses up a 1/2 gallon jug milk every 3 days. At what rate do the drink milk
Answers
Answer: 1/6 of a gallon per day
Step-by-step explanation: divide 1/2 by 3 and you get 1/6 .
The Tran family drinks milk at a rate of 1/6 gallon per day.
To find the rate at which the Tran family drinks milk, we can calculate the amount of milk consumed per day. First, determine how much milk they consume in 3 days: 1/2 gallon every 3 days. To find the daily consumption, divide the amount consumed in 3 days by 3:
\[\frac{1/2}{3} = \frac{1}{6} \text{ gallons per day}.\]
This means the Tran family drinks 1/6 of a gallon of milk every day. To express this rate in a more common unit, there are 128 ounces in a gallon. Therefore, the Tran family drinks:
\[\frac{1}{6} \times 128 = 21.\overline{3} \text{ ounces of milk per day}.\]
So, the Tran family drinks milk at a rate of approximately \(21.\overline{3}\) ounces per day.
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create a pattern for the rule a x 3+2
Answers
it is 3+2 = 5 plus a = 5a
Solve for x: 4/7 = x-1/12
Answers
To solve for x in the equation 4/7 = x-1/12, combine the fractions, cross multiply, and solve to find x=3 and x=-7.
Explanation:Solve for x: 4/7 = x-1/12
To solve for x, first combine the fractions on the right side: 4/7 = (12x - 1)/12. Then, cross multiply to get 12*4 = 7*(12x - 1). Solve for x to find x=3 and x=-7.
By substituting these values back into the original equation, which is x is equal to (12x-1)/12, you can verify these solutions.
j divided by 9 is 5.
Solve for j.
j=
Answers
Answer:
j = 45
Step-by-step explanation:
j/9 = 5
Multiply both sides by 9: j = 45
The required value of j will be 45 when j divided by 9 is 5.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example, 62÷31 = 2
To solve for j, we are trying to find the value of j that makes the equation "j / 9 = 5" true.
We can start by setting up the equation:
j / 9 = 5
This equation says that the result of dividing j by 9 is equal to 5.
To solve for j, we can multiply both sides of the equation by 9, the denominator of the fraction on the left-hand side:
j = 9 × 5
= 45
This shows that j = 45 is the solution to the equation. In other words, if we substitute 45 for j in the equation "j / 9 = 5", the equation becomes true:
45 / 9 = 5
Therefore, the value of j that makes the equation "j / 9 = 5" true is 45.
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John and Liz are sharing a large pizza. John ate 1/3 of the pizza, and Liz ate 1/4 of the pizza. How much of the pizza is left?
Answers
Answer:
5/12
Step-by-step explanation:
Final answer:
After John ate 1/3 of the pizza and Liz ate 1/4, we convert these fractions to have a common denominator of 12, resulting in 4/12 + 3/12 = 7/12 eaten. Subtracting this from the whole gives us 5/12 of the pizza remaining.
Explanation:
John and Liz are sharing a large pizza. To determine how much of the pizza is left after John has eaten 1/3 and Liz has eaten 1/4, we need to add those fractions together and subtract the sum from the whole pizza, which is 1 (representing the entire pizza).
First, we find a common denominator, which in this case is 12, so we convert 1/3 to 4/12 and 1/4 to 3/12. Adding these fractions, we get 4/12 + 3/12 = 7/12.
Now we subtract the portion eaten from the whole pizza: 1 - 7/12 = 5/12 of the pizza is left.
You've been given a twenty dollar bill that you need to break into smaller bills and coins in order to make change. You break it into three (3) five-dollar bills, and three (3) one-dollar bills. How many quarters do you need to complete the conversion?
Answers
Answer:
8 quarters
Step-by-step explanation:
You need to break the $20 into smaller bills. The smaller bills value has to be equal to $20. So far you have three $5 bills and three 1$ bills, so the current value is 3*$5 + 3*$1= $18
The value you need to add more will be $20- $18= $2
You need to add $2 more value to the smaller bills and you want to do it using quarters($0.25). The number of the quarter you need will be: $2/ $0.25= 8 quarters
Let's start by calculating the total value of the five-dollar bills and one-dollar bills:
You have 3 five-dollar bills, and each is worth $5, so:
3 five-dollar bills × $5 per bill = $15
You also have 3 one-dollar bills, and each is worth $1, so:
3 one-dollar bills × $1 per bill = $3
Now, let's add the value of the five-dollar bills and one-dollar bills together:
$15 (from five-dollar bills) + $3 (from one-dollar bills) = $18
You started with a twenty-dollar bill, which is worth $20, so we subtract the total value of the bills you have from $20 to find out how much is left to reach $20:
$20 (initial amount) − $18 (value of bills) = $2
You need to make up this remaining $2 with quarters. Since each quarter is worth $0.25 (25 cents), we divide the remaining amount by the value of each quarter to find out how many quarters you need:
$2 ÷ $0.25 per quarter = 8 quarters
Therefore, you need 8 quarters to complete the conversion to $20.
Using Algebra or Arithmetic to Solve
A triangular flag has 2 sides with lengths 2 x and 1 side with length x.
A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.
What is the base of the largest triangular flag Sara can make?
cm.
Answers
Answer:
9.36
Step-by-step explanation:
did the test
Answer:
9.36 just did it! :)
Step-by-step explanation:
YESSSSSSSSSSSSSSS
Six people are running for class president. Assuming there are no ties, in how
many different ways can first and second places be awarded?
Answers
please help 100points and BRAINLYEST!!!!!!!!
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answers
Square root of 20 goes between four and five
Square root of 90 goes between nine and 10
The 101 goes between 4 &5
The 3 90 goes between 4&5
The 3 20 goes between two and three
And 3 800 goes between 9&10
Answer:
sqrt of 7 goes between 2 and 3
Square root of 20 goes between four and five
Square root of 90 goes between nine and 10
The 101 goes between 4 &5
The 3 90 goes between 4&5
The 3 20 goes between two and three
And 3 800 goes between 9&10
there are 110 calories per 28.4 grams of cereal X. find how many calories are in 42.6 grams of the cereal
Answers
Answer:
165 calories
Step-by-step explanation:
110 cal/28.4 g in Cereal X
How m any cals in 42.6 g of Cereal X
110/x=28.4/42.6
28.4x=4686
x=165
Therefore, 165 calories
The number of calories in 42.6 grams of cereal X will be 165 calories.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
There are 110 calories per 28.4 grams of cereal X. Then the number of calories in each gram is calculated as,
Rate = 110 / 28.4
Rate = 275 / 71 calories per gram
Then the number of calories in 42.6 grams of the cereal X will be given as,
⇒ (275 / 71) x 42.6
⇒ 275 x 0.60
⇒ 165
The number of calories in 42.6 grams of cereal X will be 165 calories.
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A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?
Answers
Answer:
Step-by-step explanation:
C=2πr
18=2×3.14×r
18=6.28r
r=2.88
Arc of a circle
A=®/360°πr
6=®/360°×3.14×r
®=239°
6
Answer:
120
Step-by-step explanation:
4. A health club manager wants to determine
whether the members would prefer a new
sauna or a new steam room. The club surveys
50 of its 600 members. What is the population
of this study?
Answers
Answer: 600 members of the club
Step-by-step explanation:
In a statistical study , a population is a large group of observations by the researcher's point of view regarding the objective of the study.A sample is a subset of the population that represents the entire population.
Here , we are given that ,
The club surveys 50 of its 600 members.
Clearly , Population = 600 members of the club
Sample = 50 members
Hence, the population of this study is "600 members of the club " .
Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($320 million) is .30, the probability of total loss of the facility ($820 million) is .30, and the probability of no loss is .40. Find the expected loss. (Input the amount as a positive value.) Expected Loss
Answers
Answer:
Expected loss = $342 million.
Step-by-step explanation:
The formula to compute the expected loss is:
[tex]E(Loss)=\sum Loss\ amount\times P (Loss)[/tex]
Given:
P (Loss) Amount of loss
0.30 $320 million
0.30 $820 million
0.40 $0
Compute the expected loss as follows:
[tex]E(Loss)=\sum Loss\ amount\times P (Loss)\\=(0.30\times320)+(0.30\times820)+(0.4\times0)|_{in\ millions}\\=96 +246+0\\=\$342\ million[/tex]
Thus, the expected loss is $342 million.
his season, Lisa's lacrosse team has won $\frac 23$ of their home games (games played at Lisa's school), but just $\frac 25$ of their away games (games played at other schools). In total, Lisa's team has won $26$ games out of $49$ games they have played. How many home games has Lisa's team played?
Answers
Answer:
24 Home games
Step-by-step explanation:
let [tex]x[/tex] denote the number of home games played, and [tex]y[/tex] denote the number of home games played. We are given the total number of games played as 49
and total wins as 26.
The problem can be expressed in equation form as:[tex]\frac{2}{3}x+\frac{2}{5}y=26[/tex]...[tex]eqtn1[/tex]
Total games is expressed as [tex]x+y=49[/tex]...[tex]eqtn2[/tex]
Rewrite equation 1 to remove fractions:
[tex]\frac{2}{3}x+\frac{2}{5}y=26\\=>5x+3y=195\\[/tex]
Solve for x to obtain total home games played.
Making [tex]x[/tex] the subject in eqtn 2:
[tex]x=49-y[/tex]
Substitute for [tex]x[/tex] in eqtn1:
=>
[tex]5(49-y)+3y=195\\-5y+3y=195-245\\-2y=-50\\y=25[/tex]
To obtain [tex]x[/tex], replace y value in eqtn2:
[tex]x+y=49\\y=25\\Therefore\\x=49-25\\x=24[/tex]
Home games played is 24
does anyone know what 2/3 x= 8. So the question is what does x equal too
Answers
Answer:
x = 12
Step-by-step explanation:
⅔x = 8
x = 8 × 3/2
x = 12
Answer:
12
Step-by-step explanation:
8 divided by 2/3 = 12.01 so 12.
A cereal company packages 305.50 lbs of cereal an hour. Each cereal box contains 3.25 lbs of cereal. How many boxes of cereal are packaged in an 812 -hour day?
A
A) 752 boxes
B) 757 boxes
C
C) 799 boxes
D) 858 boxes
Answers
In an 812-hour day, a cereal company that packages 305.50 lbs of cereal an hour would package approximately 76,331 boxes of cereal, given each box contains 3.25 lbs of cereal. The provided options in the question do not match this result.
The subject of this question is Mathematics, specifically division used in a real-world context regarding a cereal company's packaging process. To find the number of cereal boxes produced in an 812-hour day, we need to divide the total weight of cereal packed in a day by the weight of cereal in each box.
Firstly, we find out the total amount of cereal produced by multiplying the hourly rate by the number of hours. This will give us: 305.50 lbs/hour x 812 hours = 248,071 lbs.
Next, we divide the total amount of cereal by the weight of cereal in each box to find the number of boxes. Therefore, 248,071 lbs ÷ 3.25 lbs/box = 76,331 boxes.
None of the options (A) 752 boxes, (B) 757 boxes, (C) 799 boxes, (D) 858 boxes match our result. There might be an error in the question or the choices provided.
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Which expression is equivalent to 2(a+2b)- a-2b
Answers
Answer:
a + 2b
Step-by-step explanation:
Perform the indicated multiplication.
This results in 2a + 4b - a - 2b, whiin in turn reduces to
a + 2b
Write the first six terms of the sequence.
a = -n²+6
en oo
4, 2, 0, -2, -4,-6
5, 2, -3, -10, -19, -30
2, -3, -10, -19, -30, -43
6, 5, 2, -3, -10, -19
Answers
Step-by-step explanation:
1st term = -n²+6
= -(1)²+6
= -1+6
=5
2nd term = -(2)²+6
= -4+6 = 2
3rd term= -(3)²+6
=-9+6 = -3
4th term= -(4)²+6
= -16+6 = -10
5th term = -(5)²+6 = -25+6 = -19
6th term = -(6)²+6 = -36+6 = -30
5,2, -3,-10,-19, -30
optionB
Help please! Thank you
Answers
i need help with thissss!!
Answers
Answer: D
Step-by-step explanation:
Paul's Current score is 42, x = paul's awaiting score
Paul's score has to be greater than 174
Current score plus awaiting score must be greater than 174
Answer:
d. 42 + p > 174
Step-by-step explanation:
Since Paul needs to score more than 174, the sign needs to be > and not ≥ because he does not want to equalize the score of 174.
Since he currently has a score of 42, he needs to add another score. Assuming the next score he needs is p,
42 + p is the equation.
Which expression is equivalent to StartRoot negative 80 EndRoot?
Answers
Answer:
[tex]4i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{-80}[/tex]
[tex]\sqrt{80*i^2}[/tex]
i^2 is -1
[tex]i\sqrt{80}[/tex]
[tex]i\sqrt{4^2 * 5}[/tex]
[tex]4i\sqrt{5}[/tex]
Answer: [tex]4i\sqrt{5}[/tex]
Answer:
[tex]4i\sqrt{5}[/tex]
Step-by-step explanation:
A ball is thrown in the air from a ledge. Its height in tesspresented by
R -16(x^2
- 5x-6), where x is the number of seconds since the ball has
been thrown. The height of the ball is 0 feet when it hits the ground.
How many seconds does it take the ball to reach the ground?
Answers
Answer:
6 .74 seconds
Step-by-step explanation:
The height of the ball is given by the equation:
[tex]R(x) = - 16( {x}^{2} - 5x - 6)[/tex]
When the ball hit the ground, then;
[tex]R(x) = 0 \\ - 16( {x}^{2} - 5x - 6) = 0 \\ {x}^{2} - 5x - 6 = 0 \\ x = -0.74 \: Or \: 6.74[/tex]
We discard x=-0.74 since time is not negative.
Therefore the ball hit the ground after 6.74 seconds.
Last year, 2376 people attended a summer music festival. This year the attendance was 2950. What was the percent of change in attendance to the nearest whole percent?
Answers
The percent change in attendance from last year to this year is approximately 24% after rounding to the nearest whole percent.
Explanation:To calculate the percent change in attendance, you can use the formula for percent change which is (new value - original value)/original value × 100%.
Last year, the attendance was 2376 people, and this year, it increased to 2950 people. Let's plug these numbers into the formula to find the percent change:
(2950 - 2376)/2376 × 100% = 574/2376 × 100% ≈ 24.16%.
When we round to the nearest whole percent, the percent change in attendance is approximately 24%.
The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available. Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?
Answers
Answer:
Sort a list of the students into a random order, then ask the first 353535 students on the list.
Step-by-step explanation:
Answer:
Sort a list of the students into a random order, then ask the first 353535 students on the list.
Multiply (x^2 + 2x + 3)(4x^2 - 2x + 1)
Answers
Answer:
4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3
Answer:
4x^4 + 6x^3 + 9x^2 - 4x + 3
Step-by-step explanation:
Distribute (x^2 + 2x + 3)(4x^2 - 2x + 1)
You will get 4x^4 - 2x^3 + x^2 + 8x^3 - 4x^2 + 2x + 12x^2 -6x + 3
Then you need to combine like terms
And you will get the answer:
4x^4 + 6x^3 + 9x^2 - 4x + 3