Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Solve for n: n+516=−1n+516=−1
Answer:
n=-517
n+516=-1
subtract 516
hELLPPLPLP PLEASEE answer 1-3 and please show the work on how to get it
Answer:
Step-by-step explanation:
Milk consumed in 4 weeks = 20 jugs
Milk consumed in 1 week = 20 ÷ 4 = 5 jugs
Milk consumed in 8 weeks = 5 * 8 = 40 jugs
2) Cost of 20 sets of crayons = $ 60
Cost of 1 set of crayon = 60 ÷ 20 = $ 3
Cost of 9 sets of crayons = 3 * 9 = $ 27
3) Number of tomatoes required to make soup for two guest = 4
Number of tomatoes required to make soup for one guest = 4 ÷ 2 = 2
Number of tomatoes required to make soup for 6 guests= 2*6= 12 tomatoes
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
Please help me I am confused
HELP!!! Parallel Line Proofs
-3(ñ-4)+15=-5(ñ-7)-10
Answer:
ñ = -1
Step-by-step explanation:
Which is not a correct way to represent the relation "the second number is 1 less than three times the first number"?
y=1 - 3x
y= 3x + (-1)
y= -1 + 3x
y= 3x - 1
Answer:
3x-1
Step-by-step explanation:
Answer:
y = 3 x - 1
Step-by-step explanation:
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
please helppp ppppñpñp
Answer:
I tried my best to explain it, hope it helps!
Step-by-step explanation:
PLEASE HELP ME Find the slope of the line between two points (15,-2) and (-2,1)
Simplify x^-5
please please I need it please please please please please please
Answer:
[tex]1/x^5[/tex]
Step-by-step explanation:
[tex]x^-^y = 1/x^y[/tex]
Answer:
1/x^5
Step-by-step explanation:
When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5
Answer: 1/x^5
decimals that equals 1
Answer:
0.01
Step-by-step explanation:
identiy why trade improved during the middleages.
this is the question.
Answer:
intermarriage
Step-by-step explanation:
people from different part intermarried
Answer:
dont know
Step-by-step explanation:
Craig took 20 minutes to swim 14 laps in the school swimming pool.
What is his unit rate per minute?
Answer:
0.7 lap per minute
Step-by-step explanation:
9. Which point of view is most likely to be uni eliable in a story?
All points of view in a story are equally eliable.
The first person narrator is most likely to be unreliable.
All points of view in a story are equally unreliable.
The third person point of view is most likely to be unreliable.
This question includes some misspelled words; here is the correct question:
Which point of view is most likely to be unreliable in a story?
All points of view in a story are equally reliable.
The first person narrator is most likely to be unreliable.
All points of view in a story are equally unreliable.
The third-person point of view is most likely to be unreliable.
The correct answer is The first-person narrator is most likely to be unreliable.
Explanation:
In a narrative text, an unreliable narrator implies the narrator lies on purpose to the reader, or his/her version of the story is not completely accurate. This feature of narration occurs mainly if the story, novel, etc. includes a first-person narrator. This is because in a first-person narrator, the thoughts, feelings, and point of view of one of the characters prevail, and this causes the events told are subjective and therefore more likely to be inaccurate. Also, this does not occur if there is a third-person narrator because in this case the narrator acts as an observer and this makes it more objective.
Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
29 + 15x = -x - 3. Simplified
Help I Dont Understand?
Heeeeellpppp
x^5 + 6x + 11x + 6 = 0
Answer:
The answer for x is
x=0.35262048
PLS help me asap
A motorboat moves across a lake at a constant speed. When it begins, it is 64
km from the shore. After 17 minutes, it is 30 km from the shore. Which
function describes the motorboat's distance from the shore?
The answer
A. y= 2x+64
B. y=-2x+64
C. y=-17x+ 30
D. y=-17x+64
Answer:
y=-2x+64 i think
Step-by-step explanation:
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
Answer:
A loss of 93.98 points. Hope this is helpful!
Step-by-step explanation:
Answer:
fat dickaling
Step-by-step explanation:
4(2x−9)=4 solve for x
Answer: x=5
Step-by-step explanation:
Distribute the 4 to the 2 and 9 and you will get (8x-36)=4.
Then you'd add the 36 to 4 to get 40.
Lastly you'd divide 8 and 40 to get 5. Hope this helps!!!
what is the radius of the cylinder
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?
Answer:
8m=p
Step-by-step explanation:
480/60=8
Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.
Select all statements that are true.
They both have a slope of 2.
They cross the x-axis at the same point.
They are parallel to each other.
They have the same slope.
They are in the same location.
They cross the y-axis at the same point.
Answer:
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Step-by-step explanation:
The 2 equations are;
y = 2x and y = 2x - 7
Now, from slope intercept equation,
y = mx + c
Where m is slope and c is the intercept on the y-axis
From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.
For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.
They should cross the x-axis when y = 0.
But at x = 0,we have;
y = 2x = 0. And x = 0
Also,for y = 2x - 7 is y = 2x - 7 = 0
2x = 7 and x = 7/2.
Thus,they don't cross the x - axis at the same point
Looking at the options, we can see that there are 3 correct ones from what we've described above namely;
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Answer:
its
Step-by-step explanation:
A train traveled from one city to another city in 4 hours at a speed of 70 mph.
The retum trip was made in 5 hours. Find the speed for the return trip.
Answer:
56miles/hr
Step-by-step explanation:
Given parameters:
Time taken for the to travel = 4hrs
Speed of the train = 70mph
From this data, let us find the distance of the trip;
Distance =Speed x time
Therefore, insert the parameters;
Distance = 70mph x 4hr = 280miles
Now;
Return trip took, 5hrs,
Speed = ?
Speed = [tex]\frac{distance}{time}[/tex]
Insert the parameters and solve;
Speed = [tex]\frac{280}{5}[/tex] = 56miles/hr
