Answer:
4
Step-by-step explanation:
Give the other guy a 5 star my dude lol
The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]
The side of square for the given question is [tex]4\rm \: inches[/tex].
Calculation:Let the side of square be [tex]\rm x[/tex]
Given:
Area of rectangle is 9 square inches.
Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:
[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]
On factoring the equation:
[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]
On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:
[tex]x = -6\\\\x=4[/tex]
Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.
Therefore the side of square is [tex]4 \:\rm inches[/tex].
Learn more about the topic here:
https://brainly.com/question/22249467
this one anyone can help
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
Find m∠ABC in the picture. (it's not solving for x.)
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º
what is the value of a?
Answer:
9\sqrt{2}
Step-by-step explanation:
this is a 30-60-90 triangle so
the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.
so if 9=x then a=x\sqrt{2}
9\sqrt{2} is the side length of a
Hope that helps :)
4) The measure of unknown angle x is.
Original amount: 27
End amount: 38.61
Increase or decrease
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
How bad is the heavy traffic? You can walk 14
miles in the same time that it takes to travel
35 miles by car. If the car's rate is 6 miles per
hour laster than your walking rate find the
average rate of each.
Answer:
I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
Step-by-step explanation:
Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:
35 - 14 = 21
21/6 = 3.5
35 / 3.5 = 10
14 / 3.5 = 4
So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
If a day of the week is randomly selected, what's the probability that the day contains the letter "a" in its name?
Round your answer to four decimal places (if necessary).
Answer:
1
Step-by-step explanation:
monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability
Answer:
There would be a 100% chance.
Step-by-step explanation:
All the days of the week end with -day. The word day has an 'a' in it.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Therefore, it will be certain that you will pick a day that has an 'a' in it's name.
Hope this helps!
You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
What is the value of x in the figure below if JW=17 and YW=3x+1
(will mark brainlest)
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached parallelogram
[tex]JW = 17[/tex]
[tex]YW = 3x + 1[/tex]
Required
Find x
JW is the midpoint of YW. So:
[tex]YW = 2 * JW[/tex]
This gives
[tex]3x + 1 = 2 * 17[/tex]
[tex]3x + 1 = 34[/tex]
Subtract 1 from both sides
[tex]3x = 33[/tex]
Divide through by 2
[tex]x = 11[/tex]
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
Which one, please?!
Quickly!
Answer:
c) FJ and GH
Step-by-step explanation:
Answer for brainliest
Answer:
b
Step-by-step explanation:
Answer:
Y = 2x. it is given
now , 2x + 2y = 30
now putting y = 2x ,. in ( 2x + 2y) = 30
hence ,.2x + 4x = 30
6x = 30
x= 5
now ,y= 2x
y = 10
What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie)
1177.58
2355.16
18,841.25
12,850.80
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
A chef increases the amounts of ingredients in a recipe to make a proportional recipe.
The new recipe has 6 cups of black beans.
Black Bean Soup
1.5 cups black beans
0.5 cup salsa
2 cups water
1 tomato
2 teaspoons seasoning
write a proportion that can be used to find the cups of salsa in the new recipe
Answer:
Step-by-step explanation:
i dont know i need someone to answer that to
Simplify the expression:
6(20 + 1)
=
Answer:
120+6
Step-by-step explanation:
Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6
A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?
Answer:
Peanuts
Step-by-step explanation:
Answer:
peanuts
Step-by-step explanation:
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
The first second and fourth terms of a proportion are 6, 18 and 25 respectively. Find
its third term.
Answer:
The third term is 25/3
Explanation:
According to the given proportion,
→ First term : second term : : third term : fourth
→ 6 : 18 : : third term : 25
→ 6/18 = third term/25
→ 6*25/18 = third term [multiplying both sides by 25]
→ 1*25/3 = third term
→ 25/3 = third term.
the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires
Answer:
1,200 meters.
Step-by-step explanation:
Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:
300 x 4 = X
1,200 = X
Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.
A line's graph is shown. Write an equation for the line.
Answer:
Step-by-step explanation:
the equation for the line is y = 4
Help pls! Need by 2 pm est time. Just do number 2 pls
Answer:
7 feet
Step-by-step explanation:
I hope my answer is correct!
The any quality 5G > 45 when g is=
Answer:
the answer is 9
Step-by-step explanation:
9 x 5 = 45 so g is 9
Hope this Helped!!!!!!!!!!!!
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
what are the Best odd to play in betting
Answer:
ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose
Step-by-step explanation:
Pls help me with this
Answer:
Number 6 is 7
Step-by-step explanation:
8 x 7 = 56
49 + 7 = 56
As a farmer, one of your responsibilities is to plow the field to prepare it for planting. On day 1, you plowed of the field. On day 2, you plowed of the field.
How much more of the field did you plow on day 1 than on day 2?
a.1/16
b.1/12
c.5/24
d.13/24
Answer:
you plowed more of the field on day 2 than on day one because minus equals
Step-by-step explanation:
The slope of a vertical line is _____
the slope of a horizontal line is ______
Answer:
The slope of a vertical line is undefined
The slope of a horizontal line is zero
HEEEEEEEEEELLLLLLLLLLP