9514 1404 393
Answer:
(c) 3√3
Step-by-step explanation:
The altitude forms the long side of a 30°-60°-90° right triangle whose short side is 6/2 = 3 cm.
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
Multiplying these ratio values by 3 gives the right triangle side lengths of ...
3 : 3√3 : 6
where 6 is the side length of the equilateral triangle. The length 3√3 is the altitude of that equilateral triangle.
The height of the triangle is 3√3 cm.
Please i need someone help.
Answer: I can help :)
Step-by-step explanation:
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
And here is another question. Thanks for the help y'all
Answer:
Multiply 3.75 times 1.5
Step-by-step explanation:
A triangle has one angle that measure 75% and one that measure 19% what is the measure of the third angle
Answer:
86%
Step-by-step explanation:
angles in the triangle add up to 180
so we add 75% and 19%
to get 94%
then we subtract 180 by 94%
to get 86%
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
The school store has 2400 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the the number of pencils in stock is 600.
Answer:
90 days until the next restock
Step-by-step explanation:
2400 - 600 = 1800
1800/20 = 90 days
Homework, 20 points for whoever answers
Note: if you don’t know the answer or unsure of it, please do not say it or type “I don’t know” as the answer, it takes away my points and my time, thank you :D
Answer:
3) D
4) C
Step-by-step explanation:
1/2 + 1/4 = 3/4
17.6-4.4 = 13.2
simplificar 55-56 entre 4×2+82×3
Answer:
Step-by-step explanation:
this awnser is 73 92 837
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Learn more about the elementary row operation here:
https://brainly.com/question/17875294
#SPJ2
The distance Jane jogs in 20 minutes is 8 miles. At this rate, how many miles will he run in 60 minutes?
Answer: the answer is 24 miles
Step-by-step explanation:
Answer:
24 miles
Step-by-step explanation:
the ratio is 20:8
If we wanna find the ratio for 60 mins, you have to multiply both sides by three.
Then, we get 20/8 = 60/24
So, Jane jogged 24 miles in sixty minutes
Beth has $525 in savings. She
sometimes withdraws money to buy CDs
or books.
Write an equation that will help Beth
determine how much money she has in
savings at any given time.
Let's let
p = money spent on CDs or books
s = total savings
Answer: s = 525 - p
Step-by-step explanation:
Plato/Edmentum
The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections
Answer:
do it urself sorry i letterely dont know
Step-by-step explanation:
Does 5, square root of 15, 5 make a right triangle?
Answer:
No
Step-by-step explanation:
This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b
Hope this helped
6
Divide 2m in the ratio 9-1
Answer:
Step-by-step explanation:
First, add up the two numbers in the ratio to get 8. Next divide the total amount by 8, i.e. divide £40 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3.
The area of a parallelogram is 8x^2+2x-6 and it's height is 2x+2. What is the base of the parallelogram?
Answer:
4x - 6
Step-by-step explanation:
Remember the formula for finding the area of a parallelogram;[tex](base)*(height)=(area)[/tex]
Manipulate the equation such that it is solved for the base;
[tex](base)=\frac{(area)}{(height)}[/tex]
So the equation that needs to be solved is;
[tex]\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}[/tex]
Set up the division problem and solve;
_____4x - 6___
[tex]2x + 2[/tex] | [tex]8x^{2} + 2x - 6[/tex]
[tex]-(8x^{2}+8x)[/tex]
________
-6x - 6
[tex]+ (6x + 6 )[/tex]
________
0
You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
Plsss help plssssssss
Answer:
x = 2
y = 6
Step-by-step explanation:
We have a system of equations and are asked to solve for x and y.
y = -2x + 10
y = 3x
Since both equations start with y, we can subtitute.
3x = -2x + 10
Solve for x :
Add 2x to both sides :
5x = 10
Divide 5 from both sides :
x = 2
Now substitute x in the second equation because it's more easier :
y = 3(2)
3(2)
6
y = 6
a number divided by 3 minus 5 is less than 10
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
What is the arithmetic of the following numbers? 3, 5, 6, 7, 9, 6, 8
Answer: sorry pressed the wrong button
Step-by-step explanation:
✅Mean:
➡️Sum of total numbers/Total numbers
3+5+6+7+9+6+8 / 7
44 / 7 = 6.285
MARK ME AS BRAINLIST IF THE ABOVE ANSWER HELPS U♥️♥️♥️....
Are the 2 lines:
y = 4x - 3 and y = (1/4)x +3
Parallel, Perpendicular, or Neither?
Please let me know an explanation would be great I hate my math teach but thank you!
Answer:
Step-by-step explanation:
Both equations are in slope-intercept form, so the coefficient of x is the slope of the line.
y = 4x-3
slope = 4
y = (¼)x + 3
slope = ¼
If the slope are the same, the lines are parallel. If the product of the slopes = -1, the lines are perpendicular.
4×¼ = 1
The lines are neither parallel nor perpendicular.
Devide. Reduce to lowest terms 3/8 1/7
2) In a geometric sequence, a3 = 128, a4 = 64, and a5 = 32. What is a10?
PLZ HURRY UP NO TIME
Answer:
1
Step-by-step explanation:
As the value of a goes up, the numbers are being divided by 2.
a3 = 128
a4 = 64
a5 = 32
a6 = 16
a7 = 8
a8 = 4
a9 = 2
a10 = 1
For which inequality is .r = 5 a solution?
А х<2
в. х> 9
ОО
) с. х< 18
OD. x> 42
Answer:
The answer is C x<18 indirectly saying 5<18 the other options has no match for it
Simplify the following expression completely:( x 6 ) 7
Answer:
42x
Step-by-step explanation:
anyone please help with this please
Choice 2) 44
From definition of a parallelogram, the opposites are equal. Therefore we can conclude that 4x+28=10x+4, then solve.
6x=24
x=4
RS=10x+4=10*4+4=44
Answer is 44. Done!
Write the equation of the ellipse with the endpoints of the major axis (-11, 0) and (11, 0) and minor axis (0, -3) and (0, 3)
I don't particularly care about the answer, more judt the explanation of how I'm supposed to find it. thank you!!
Answer:
x/121 + y/9 = 1
Step-by-step explanation:
The major axis is 22 units long, in a horizontal line, and the center is in the middle of the major axis line segment. The center is at the origin. The distance of the whole axis is 22, and its endpoints are 11 units from the center. The axis length is 2a = 22, so a = 11.
Becasue the major axis is horizontal, this ellipse is wider than it is tall.
The minor axis is perpendicular to the major axis and it always shoter (hence the name 'minor'). In this case, it is vertical, is 6 units long, so we say that 6 = 2b, and b = 3.
The ellipse center is (h,k). But in this case, the center is the origin, so h = 0 and k = 0.
The equation for a horizontal ellipse is (x-h)²/a² + (y-k)²/b² = 1, a>b
(x-0)²/11² + (y-0)²/3² = 1
*** x/121 + y/9 = 1
The equation for a vertical ellipse is (x-h)²/b² + (y-k)²/a² = 1, a>b
If the bigger denominator is under 'x' term the ellipse is horizontal, with the longer axis being horizontal.
If the bigger denominator is under the 'y' term, the ellipse is vertical, with the longer axis being vertical.
I'm including 2 files.
The 'brainly ellipse' is form this particular problem.
The 'General Ellipse Info' is a collection of my personal math notes on elleipses.
Hope this helps.
*** Let me try the 2nd attachment again as a PDF. You may not have MS Office 10.
How do you do this?
Answer:
Legs: [tex]x[/tex]
Hypotenuse: [tex]\sqrt{2}\cdot x[/tex]
Step-by-step explanation:
In this case, a 45-45-90 right triangle is a right triangle whose legs have the same length and hypotenuse is [tex]\sqrt{2}[/tex] times the length of any of the legs. Then, the dimensions of this triangle are, respectively:
Legs: [tex]x[/tex]
Hypotenuse: [tex]\sqrt{2}\cdot x[/tex]
8 less a number is less than or equal to 17
Answer:
less than
Step-by-step explanation:
8 is less than 17
Answer :n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
help me
What is the probability of rolling a 3 on a six-sided cube AND rolling a 6 on a six-sided cube?
ob
Answer:
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30
Step-by-step explanation:
These are independent events.
The probability of rolling a 5 is 1/6.
The probability of spinning a 5 is 1/5.
The probability of rolling a 5 or spinning a 5 is 1/5+1/6=11/30 but you have to subtract 1/30 because you can roll a 5 and spin a 5 at the same time. Therefore 11/30-1/30=10/30=1/3.
There are 30 outcomes. Roll first then spin to get the following outcomes:
11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65
You want to roll a 5 OR spin a 5. How many combinations have a 5 ? 10 combinations have a 5.
(you don't count 55 twice) There are 10 combinations with a 5 out of a possible 30 combinations.
Another way of looking at the problem is the following:What is the probability of NOT rolling a 5 AND NOT spinning a 5 ?
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30. Therefore the probability of rolling a 5 or spinning a 5 is 1-20/30=10/30.
Answer:
16.7%
Step-by-step explanation:
There are 6 sides and one three on the cube so rolling a three would be 1/6. To roll a 6 on a 6 sized dice would be the same there’s 6 sides and one 6 so it would be 1/6