Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
Find the solutions of the quadratic equation 3x2 - 4x + 4 = 0
Answer:
No real solution
Step-by-step explanation:
[tex]3x^2-4x+4=0\quad\implies\quad a=3\,,\quad b=-4\,,\quad c=4\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot3\cdot4}}{2\cdot3}=\dfrac{4\pm\sqrt{-32}}{6}[/tex]
There is no solution in real number as it's no real √[-32]
{solutins in complex numbers would be: [tex]x_1=\frac{4+4\sqrt{2}\,i}{6}=\frac{2+2\sqrt{2}\,i}{3}\\ x_2=\frac{2-2\sqrt{2}\,i}{3}[/tex] }
Simplify: 3x2 - 4x - 5x2 + 8x A) -2x2 - 12x B) -2x2 + 4x C) -2x2 + 12x D) 8x2 - 12x
Answer:
3x^2-4x-5x^2+8x.
which is collect like terms.
3x^2-5x^2-4x+8x.
-2x^2+4x.
The answer is option B
Ellie runs 5/6 mile in 10 minutes. What is Ellie's speed in miles per minute?
Answer:
1/12 mi/min = 0.083 mi/min
Step-by-step explanation:
From the question given above, we obtained the following information:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
Speed is simply defined as the rate of change of distance moved with time. It can be represented mathematically by the following equation:
Speed (S) = Distance (d) / time (t)
S = d/t
With the above formula, we can calculate Ellie's speed as follow:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
S = d/t
S = 5/6 ÷ 10
S = 5/6 × 1/10
S = 5/60
S = 1/12 mi/min = 0.083 mi/min
Therefore, Ellie's speed is 1/12 mi/min.
Ellie speed in miles per minute is 1 / 12
Speed:Speed is a scalar quantity with only magnitude and no direction. Speed measures how fast an object is in motion.
Speed is represented mathematically as follows:
speed = distance /time
Ellie covers 5/6 miles in 10 minutes. Therefore,
distance = 5/6 miles
time = 10 minutes
Speed = [tex]\frac{\frac{5}{6} }{10}[/tex] = [tex]\frac{5}{6}[/tex] ×[tex]\frac{1}{10}[/tex] = [tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] miles per minutes
learn more on speed here: https://brainly.com/question/17426617?referrer=searchResults
7 1/3 in its simplest form
Answer:
7 1/3
Step-by-step explanation:
7 1/3 is the simplest form, since you can't divide it anymore. However, if you're talking about improper fractions, then it would be 22/3.
Answer:
[tex]\frac{22}{3}[/tex]
Step-by-step explanation:
Change 7 1/3 into a mixed number: 7 × 3 = 21, 21 + 1 = 22Put 22 over 3:[tex]\frac{22}{3}[/tex]need help with these questions
Answer:
for question no 4
answer is 53
for question no 5
answer is -10
what are the variables of 3a2bc
Step-by-step explanation:
is there a picture to the question it would help with the question
which one is a irrational number and why ?
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
A. √40
Step-by-step explanation:
√49 = 7
√100 = 10
√9 = 3
but,
√40 = 6.32455532, so this is immperfect square
What’s the value of 5•5•5•5•5•5•5•5
Answer:
390625 or it could be 5⁸
Step-by-step explanation:
It could be either of those depending on the answer needed
Answer: is this about exponents. if yes then its 5 to the eighth power
Step-by-step explanation:
Help please how do I solve for k
7. M is between L and N. LN=365 & ML=73. What is the value of MN?
Answer:
MN = 292
Step-by-step explanation:
Given that M is between L and N then
MN = LN - ML = 365 - 73 = 292
Combine Like terms:
-6 + y - (-10y)
Answer:
Step-by-step explanation:
-6 + y + 10y
= 11y - 6
Answer:
-6+11y or 11y-6
Explanation:
Since there is a - in front of the parentheses it wants you to multiple by -1, which will be equal to 10y. 10y+y=11y. After this, you would add the -6, or subtract 6 from that.
A cylinder has a height of 20cm. The diameter of the cylinder is 3 10 its height. Calculate the volume of the cylinder in terms of π.
it would be 13.96 for the volume
I will aprecciate any help 7
Answer:
f = -44
Step-by-step explanation:
f / -2 - 9 = 13
Add 9 to each side
f / -2 - 9+9 = 13+9
f / -2 = 22
Multiply each side by -2
f / -2 * -2 = 22 * -2
f = -44
2x / 2x is equals to?
What is the image of the point (-9,3) after a rotation of 180° counterclockwise
about the origin?
Answer:
(9, - 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(- 9, 3 )→ (9, - 3 )
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second with 13 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?
Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Solve the equation below for the variable "x". *
- 2x + 10 = 8
Answer:
x = 1
Step-by-step explanation:
Subtract 10 from 8 to get -2. Then divide -2x by itself so it will cancel out. Whatever you do to one side of the equation, do to the other so divide -2 by -2 to get your answer of 1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]-2x+10=8[/tex]
So let's solve this equation.
So first, we're gonna have to minus 10 from both sides of the equation.
[tex]-2x+10-10=8-10[/tex]
Now let's turn this into a fraction and divide by -2
[tex]\frac{-2x}{-2} =\frac{-2}{-2}[/tex]
[tex]x=1[/tex]
So now we have our answer!
Hope this Helps!
How do you find a line tangent to another line?
Answer:
Step-by-step explanation:
1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.
3 out of 4 divided by 1 out of 16 fraction
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{3}4}[/tex] ÷ [tex]\frac{1}{16}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
[tex]\frac{3}{4}[/tex] × [tex]\frac{16}{1}[/tex] ← cancel 4 and 16 by 4
= [tex]\frac{3}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{4(3)}{1(1)}[/tex] = [tex]\frac{12}{1}[/tex] = 12
terry ate 4 less cookies than jack. alvin ate four times as many cookies as terry. if x represents the number if cookies that jake ate, what could represent the number of cookies that alvin ate ?
Answer:
Alivin= 4(x-4)
Step-by-step explanation:
What is the numerical value of 123.45
123.45 = 12345 × 10−^2
Answer:
12345([tex]10^{-2}[/tex])
Step-by-step explanation:
To do this you would just multiply 123.45 by 100 so you have no decimals and you would get 12345 and then since is goes up by 100 you would get [tex]10^{-2}[/tex] because you would take 2 decimal places from that so you would get
12345([tex]10^{-2}[/tex]) as your answer
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8
Answer:
Total area of the composite figure = 129.1 square units
Step-by-step explanation:
Area of the figure attached = Area of semicircle + Area of the rectangle
Since area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
where 'r' = radius of the circle
Area of the semicircle = [tex]\frac{1}{2}\pi (4)^{2}[/tex]
= 8π
= 25.1 square units
Area of the rectangle = Length × width
= 13 × 8
= 104 square units
Total area of the composite figure = 25.1 + 104
= 129.1 square units
Can you please help me so I can get a better understanding? h(n)=3n, Find h(6)
Answer:
18
Step-by-step explanation:
So we have the function:
[tex]h(n)=3n[/tex]
And we want to find h(6).
To do so, simply substitute 6 for n. In other words:
[tex]h(n)=3n\\h(6)=3(6)[/tex]
Multiply:
[tex]h(6)=18[/tex]
So, our answer is 18 :)
Answer:
h(6) = 18
Step-by-step explanation:
To evaluate h(6), substitute n = 6 into h(n) , that is
h(6) = 3(6) = 18
Brown Squirrels can carry 2 acorns at a time. Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. Suppose the three squirrels all wanted to store acorns for the winter. Depending on how motivated each squirrel was they would end up with different amounts. For instance, suppose the Brown Squirrel took 4 trips, the Gray Squirrel took 2 trips and the Black Squirrel took 2 trips. The Brown Squirrel would end up with 8 acorns, the Gray Squirrel would have 6 acorns and the Black Squirrel would have 10 . Between them they took every one of the 24 acorns. How Many Ways "Show Them" can the squirrels get all 24 acorns. (One can get all of them, and the others get none
Answer:
There are five ways in which the squirrels can get all 24 acorns.
Step-by-step explanation:
The information provided is:
Brown Squirrels can carry 2 acorns at a time.Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. The three squirrels all wanted to store acorns for the winter. Between them they took every one of the 24 acorns.Each squirrel makes at least one trip.
Consider the table for the total number of trips the squirrels make get all 24 acorns:
Brown (2) Gray (3) Black (5) Total no. of acorns
1 4 2 (1 × 2) + (4 × 3) + (2 × 5) = 24
2 5 1 (2 × 2) + (5 × 3) + (1 × 5) = 24
3 1 3 (3 × 2) + (1 × 3) + (3 × 5) = 24
4 2 2 (4 × 2) + (2 × 3) + (2 × 5) = 24
5 3 1 (5 × 2) + (3 × 3) + (1 × 5) = 24
Thus, there are five ways in which the squirrels can get all 24 acorns.
1/4 (12x - 20) = -70
Divide each term in the bracket by 4:
=
3
x
−
2
Explanation:
Multiplying by
1
4
is the same as dividing by 4. - You are finding a quarter of something.
To find a quarter of the bracket, divide each coefficient by 4.
You will get two unlike terms so you will not be able to simplify them.
This is the reason why you cannot simplify inside the original bracket either.
Step-by-step explanation:
Which expression is equivalent to 2(m − 5) + 6?
Answer:
2m-4
Step-by-step explanation:
Answer:
2m-4
Step-by-step explanation:
help due soon......
Answer:
Step-by-step explanation:
let x=1.8888...
10x=18.8888...
10x-x=18.8888...- 1.8888...
9x=17
x=17/9
So 1.8888... is equal to 17/9
Answer:
1,888 is equal [tex]\frac{17}{9}[/tex]
Step-by-step explanation:
x = 1,888...
10x = 18,88...
10x - x = 18,88 - 1,88
9x = 17
x = [tex]\frac{17}{9}[/tex]
karen has 120. if she saves 24 per week, how many weeks will it take her to have a total of 312
Answer:
13 weeks
Step-by-step explanation:
312/24=13
PLEASE HELP ME I NEED THIS BY TONIGHT!!!! Ed Moura has $85000 invested in stocks paying 5%. How much additional money should he invest in certificates of depositing paying 2% so that the average return on the two investments is 3%?
Answer:
$170,000
Step-by-step explanation:
(1.05(85000))+1.02x=1.03(85000)+1.03y
honestly not sure but it's the best I got
Please help me check my work. Question: A square field has an area of 479 ft². What is the approximate length of a side of the field? Give your answer to the nearest foot. My answer: 22. This is because the square root of 479 is 21.88606862823929. So the answer would be about 22.
yeah this is just about right