Answer:
The dimensions of the carpet are 4√3m by 4√3m.
16m² are not covered by the carpet.
Step-by-step explanation:
The area of an 8m by 8m floor is 64m².
[tex]8*8=64[/tex]
A)
First, 75% of that area is 48m².
[tex]64*0.75=48[/tex]
Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.
[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]
There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.
The 2 solutions are:
[tex]x=6.9282...\\x=4\sqrt{3}[/tex]
The dimensions of the carpet are 4√3m by 4√3m.
B)
Now to find the area that is not covered, just subtract the area that is covered from the total.
[tex]64-48=16[/tex]
16m² are not covered by the carpet.
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph
Answer:
inequality is:12 ≤ x ≤ 15
Step-by-step explanation:
GIVING BRAINLIEST
In the figure below, if AB=11√7 , what is CD?
CD is 11 square root of 14.
The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .
In right triangle ABE,
Measure of angle ABE = 90 degrees
Measure of angle AEB = 60 degrees
AB = 11√7
Using trigonometric ratio we have,
tan 60° = AB / BE
⇒ √3 = 11√7 / BE
⇒ BE = 11√7 / √3
⇒BE = 11√21 / 3
In right triangle BED,
Measure of angle BED = 90 degrees
Measure of angle EBD= 45°
⇒Measure of angle EDB= 45°
BE ≅ ED
BE = 11√21 / 3
⇒ED = 11√21 / 3
Using Pythagoras theorem,
BD² = BE² + ED²
⇒BD = √ 2 (11√21 / 3 )²
⇒BD = 11√21 / 3 × √2
⇒ BD = 11√42 / 3
In right triangle CDB,
Measure of ∠CDB = 90°
Measure of ∠DCB = 30°
tan 30° = BD / CD
⇒ ( 1/ √3) = 11√42 / 3 / CD
⇒ CD = [11√42 / 3 ] × √3
⇒ CD = 11√14
Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .
learn more about length here
brainly.com/question/32060888
#SPJ2
Find the slope of the line that passes through point A (-2,0)and point B (0,10) using m=rise/run
Answer:
m = 5
Step-by-step explanation:
The x-coordinate of A is -2 and that of B is 0. The increase in this coordinate from A to B is 2. Similarly, the y-coordinate increases by 10. The slope is therefore m = rise / run = 10/2, or m = 5
If represents the number of entry tickets sold and the hours of space rental, which inequality represents the constraints in the situation
2000000000017827272626728182
Answer:
no question or any number or question available
10+5-7=3y
-10x+5x+5=-15
3x+2x-4x+10
pre algebra 8th grade math
Answer:
1) y=8/3=2 2/3 2) x=4 3) x+10
Step-by-step explanation:
1) 10+5-7=3y
Calculate the sum or difference.
8=3y
Swap the sides of the equation.
3y=8
Divide both sides by 3.
y=8/3=2 2/3
2) -10x+5x+5=-15
Collect like terms.
-5x+5=-15
Move the constant to the right-hand side and change the sign.
-5x=-15-5
Calculate the difference.
-5x=-20
Divide both sides by -5.
x=4
3) 3x+2x-4x+10
Collect like terms.
(3+2-4)x+10
Calculate the sum or difference.
1x+10
When the term has a coefficient of 1, it doesn't have to be written.
x+10
Hope this helps :)
Find the minimum and maximum possible values for area of the garden
Answer:
Smallest: 12.8 square meters
Largest: 13.5 square meters
Step-by-step explanation:
I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.
The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.
[tex]3.15*4.05=12.7575[/tex]
The smallest possible area is 12.8 rounded to the nearest 10th.
The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...
[tex]3.24999*4.14999=13.4875[/tex]
That rounds to 13.5.
Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes
Answer:
Yes, he can swim 100 lengths in under 45 minutes.
Step-by-step explanation:
First we divide 100 by 5
100 ÷ 5 = 20
Now we can multiply this by 130 seconds
Now we have 2600 seconds
Since 1 minute is 60 seconds we divide 2600 by 60 seconds
2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.
This is all assuming his rate is constant.
Micheal takes 43.333 minutes to swim 100 lengths.
What is length?Length is a measurement or extent of something from one end to another end.
The SI unit of length is meter.
Given that,
To cover 5 lengths, time taken by Micheal = 130 seconds,
Therefore,
Time taken by Micheal to cover 1 length = 130/5 = 26 seconds
Time to cover 100 length = 26×100=2600 seconds
1 minute = 60 seconds
100 length is covered = 2600×1/60 minute
= 43.333 minute
So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.
To know more about Length on :
https://brainly.com/question/2497593
#SPJ2
1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical
Answer: B: complementary
Step-by-step explanation: :)
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.
Original Problem:
3x−2y=8
x+y=2
Student Work:
3x−2y=8
2x+2y=2
5x=10
x=2
The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.
They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.
So they should have this new equivalent system
[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]
Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4
Use that x value to solve for y. You should get y = -2/5 = -0.4
A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.
please help
Use the pattern in the sequence to determine the next two terms.
-16, 8, -4, 2. . .
Answer:
-1 , 1/2
Step-by-step explanation:
Each term is obtained by dividing by (-2)
-16/-2 = 8
So, the next two terms are:
2/-2 = -1
-1/-2 = 1/2
Please help me with this, im kinda struggling
Answer:
X=4
Step-by-step explanation:
Let's make an equation,
7/4 ÷ 14 = x ÷ 3
We can cross multiply
7/4 * 32 = x * 14
Now we have 56 = 14x
Divide both sides by 14
56 ÷ 14 = 4, 14x ÷ 14 = x
4 = x
x = 4
Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?
A recipe calls for
23
cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?
Answer:
.....
Step-by-step explanation:
solve pls brainliest
Answer:
48.95
Step-by-step explanation:
BRAINLIEST
please help me finish these
Answer:
15) 44.6 inches
16) 77.8 degrees
Step-by-step explanation:
15) we are given the angle and length of 16, drawing this out, 16 inches (the height) would be opposite of the angle and the length of the ramp would be hypotenuse.
we know that sine is opposite over hypotenuse, so we can use that to help find the length.
Rearrange:
sin21degrees = opposite/hypotenuse
hypotenuse*sin21degrees = opposite
hypotenuse = opposite/sin21degrees
Sub in values:
hypotenuse = 16/sin21degrees
hypotenuse = 44.6468 inches
16) we are given two side lengths and expected to find an angle, we now need to use the inverse of one of the trigonometric ratios.
Drawing this out, we are given the hypotenuse and adjacent lengths, so we can use the inverse cosine to find the angle
angle = cos^-1 adjacent/hypotenuse
angle = cos^-1 (7/26)
angle = 74.381 degrees
The price of the trail mix at the health food store is $7.50 per pound at this rate what is total cost of 8 ounces bags of trail mix
Answer:
Below
Step-by-step explanation:
1 pound = 16 ounces
Therefore if you're looking for 8 ounces, divide $7.50 in half.
You get $3.75
Answer:
At this rate, the total cost of 8 ounce bag of trail mix would be $3.75.
Step-by-step explanation:
So first I found that for 1 LB (pound), there is 16 ounces so 8 oz is half of 16. If we know that, we have to divide 7.5 by 2 to get 3.75.
Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$
Answer:
It's (8/3) 6 I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!
Answer:
Its 83 the power of 6. Also Please choose my anwer as brainliest
Use the quadratic formula to solve x2 – 3x - 2 = 0
Answer:
C
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
c is the answer to this problem
ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x
Step-by-step explanation:
so as ∆BCE is a right angled triangle
angle BEC = 90°
angle CBE = 22° (given)
apply angle sum property of triangle
so according to that
BCE + CBE + ECB = 180
22° + 90° + ECB = 180
102° + ECB = 180
ECB = 180 - 102
ECB = 78°
and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,
so ,
x = 78°
hope this answer helps you dear! take care
Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form.
Refer to the attachment
please, help!!!! Bussines Calc. I give 20 points. I need a full explanation.
I believe you are trying to find the most Cheapest cost?
Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.
30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)
40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)
Add all together, $1936 to build the whole fence.
(I don't know for sure if I am right. If I am right, can I have a brainliest?)
Use elimination to solve the system of equations.
x+y=−3
2x−3y=29
Answer:
(4,-7)
Step-by-step explanation:
Answer:
(4,-7)
Step-by-step explanation:
2x-3y=29
2x+2y=-6
subtracting gives us -5y=35 so y is -7 and x-7=-3 so x is 4. therefore the ordered pair is (4,-7)
During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?
Answer: it should be 70
Step-by-step explanation:
because the re adding of the dollars
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
number 5
Step-by-step explanation:
an equal sign means "is not equal to"
Can anyone help me with this?
Answer:
A & C are correct.
Step-by-step explanation:
Yes, I can help!
Absolute value makes any number positive.
12 < 50 (yes)
12 < 50 (yes)
12 > 50 (no)
12 > 50 (no)
You are welcome!
Kayden Kohl
8th Grade Student
Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.
Answer:
$24.75
Step-by-step explanation:
$8.25 is for 3. So triple that cost gets you $24.75
y + 2x = 2 and y + 4x = 0?
Answer:
y=4
Step-by-step explanation:
y+2x=2
2(y+2x)=2(2)
2y+4x=4
(2y+4x)-(y+4x)=4-0
y=4
Si se duplica el radio(2) del círculo anterior, el número de veces que aumenta el area del círculo es?
Answer:
4
Step-by-step explanation: