Answer:
For number 5, it is D
For number 6, it is A
Step-by-step explanation:
For number 5, we have the dimensions options here.
We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.
We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.
*(Formula for perimeter is 2(L + W) )
(I already checked them all, and they all give to be 34 so they are all safe.)
Then we find the areas of each.
*(Formula for area is L * W {the " * " symbol represents multiplication.)
We multiply 12 by 5 to get 60.
We multiply 13 by 4 to get 52.
We multiply 10 by 7 to get 70.
We multiply 9 by 8 to get 72.
Since we are looking for the greatest area, we look for the greatest number, which is the 72.
Therefore the 9 by 8 option, or D is correct.
For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.
We first check if all the areas are 64 to look for a trick answer.
We multiply 8 by 8 to get 64.
We multiply 1 by 64 to get 64.
We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})
We multiply 32 by 2 to get 64.
So we know the 6 by 6 option or C is wrong.
Then we look for the perimeters of the dimension solutions.
(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)
2 ( 8 + 8 ) = 32
2 ( 1 + 64 ) = 130
2 ( 32 + 2 ) = 68.
Since we are looking for the smallest perimeter, it is the smallest answer this time.
So it must be A, since 32 is the smallest.
Hope this helps!
Problem 5
The sum of the first ten terms of an arithmetic progression consisting of positive integer terms is equal to the sum of the 20th, 21st and 22nd term. If the first term is less than 20, find how many terms are required to give a sum of 960.
Answer:
The answer is 15.
Step-by-step explanation:
solve for x. round to the nearest tenth of a degree, if necessary.
x=30°
Answer:
Cos x°=adjacent/hypotenuse
Cos x°=45/52
x°=Cos-¹(45/52)
x°=30°
Which statement are true regarding the diagram?
Answer: 2,4 are definite answers i don't know abt the others- unfortunately..
Step-by-step explanation: Im in mid school..
Combine and simplify the following radical expression.
Answer:
[tex]24 \sqrt{5} [/tex]Step-by-step explanation:
[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]
[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]
[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]
[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]
[tex] = 24 \sqrt{5} (ans)[/tex]
Answer:
[tex]\huge\boxed{24\sqrt5}[/tex]
Step-by-step explanation:
[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]
[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]
Find the slope of (3,-24)(19,-48)
Answer:
-3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
= (-48- -24)/(19 -3)
= (-48+24)/(19-3)
= -24/16
= -3/2
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]
Substitute into slope formula:
[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]
help me with this math question
Step-by-step explanation:
Option D
As time increases, the temprature of soup decreases..
hope it helps
Find the value of x that makes m
n.
m
n
(180 - x)^
Answer:
x=180-x
2x=180
x=90
Step-by-step explanation:
Helpppppp plssssss ! Click the image
Anyone know this question?
Identify the slope (m) and the y-intercept (b) of each line a) y= x+7 slope = y intercept = b) y = -3x slope = y intercept =
Answer:
a) y= x+7
The slope is 1 and the y intercept is 7
b) y = -3x
The slope is -3 and the y intercept is 0
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b where m is the slope and b is the y intercept
a) y= x+7
The slope is 1 and the y intercept is 7
b) y = -3x
The slope is -3 and the y intercept is 0
There are 5 seats in a bus. In how many different ways if there are 5 children. How many different ways are there if there are 4 children, and how many different ways are there if there are 3 children.
Answer:
5=1
4=5
i don't really know for the third one sorry but it's more than 11
Step-by-step explanation:
Mr. Lynch bought some oranges and pears.
After giving away 10 oranges, he had twice
as many pears as oranges left. If he had 24
pears in the end, what was the ratio of
oranges to pears in the beginning?
Answer:
11: 12
Step-by-step explanation:
Let the number of oranges and pears Mr Lynch have initially be x and p respectively.
x -10= ½p
2(x -10)= p
p= 2x -20 -----(1)
Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.
p= 24
Substitute p= 24 into (1):
2x -20= 24
2x= 24 +20 (+20 on both sides)
2x= 44
x= 44 ÷2
x= 22
[tex] \frac{x}{p} = \frac{22}{24} [/tex]
[tex] \frac{x}{p} = \frac{11}{12} [/tex]
Thus the ratio of orange to pears in the beginning is 11: 12.
Can somebody help me Answer to this ??
X=7
c is the answer:
[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]
Hi there can someone please help me?
What is z and k when k+4z=42
Answer:
Solution given:
we have
k+4z=42
k=42-4z
and
k+4z=42
4z=42-k
dividing both side by 4
[tex]\frac{4z}{4}[/tex]=[tex]\frac{42-k}{4}[/tex]
z=[tex]\bold{\frac{42-k}{4}}[/tex]
The flow of water from a faucet can fill a
3-gallon container in 18 seconds. Give the ratio of gallons to seconds as a rate in gallons per second and as a reduced fraction.
Answer:
3/18 gallons/seconds, or 1/6 gallons/seconds
Step-by-step explanation:
We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.
Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.
One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.
Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).
To find the greatest common factor, we can list factors and find the greatest one among them.
We have two numbers, 3 and 18.
The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get
3/18 = 1/6 gallons/seconds as our answer
Which of the following is an example of linear growth?
A. A baby gains 0.5% of its weight each week
B. An investment of $100 at an annual interest rate of 0.75%, compounded monthly
c. Depositing $5.00 in a savings account each week for t weeks
D. A bacterial culture doubles in size each day
Answer:
c. Depositing $5.00 in a savings account each week for t weeks
Step-by-step explanation:
Depositing $5.00 in a savings account each week for t weeks will be the correct example of linear growth.
What is a linear function?A linear function is a function in which any two quantity varies linearly with respect to each other.
In another word, a linear function is that function whose slope will be constant and will plot a straight line.
A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
The linear function will be that where the value of the next period can be calculated
For example y =2x here we can calculate y by just x
In given option (C) we can see that the difference between any two consecutive months can be calculated next month.
For more about the function
brainly.com/question/23712366
#SPJ2
URGENT HELP PLZZZ I LOST MY BRAIN AND I'M OUT OF BATTERY
Write 5 irrational numbers between 2&3
Answer:
Step-by-step explanation:
Irrational numbers are non terminating and non repeating numbers
Example: √2 , π
5 irrational numbers between 2&3:
2.102003000.......
2.12345......
2.12030405.....
2.505006000....
2.606006000.....
find the length of side x to the nearest tenth
Answer:
x = 2 sqrt(3)/3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 1 /x
x sin 60 =1
x = 1 /sin 60
x = 1 / sqrt(3)/2
x = 2 sqrt(3)/3
Se preguntó a 44 estudiantes por el tiempo, medido en minutos, que tardan en
llegar a su sitio de estudio. Las respuestas obtenidas fueron: 15,20,17,24,45,40,35,39,46,44,50,47,42,40,38,30,35,45,35,45,35,37,47,48,58,55,38,37,40,43,40,39,45,48,50,35,20,57,55,56,47,43,37,34,50,60
a) Clasifique la variable y construya la
TDF correspondiente al histograma.
b) Realice 4 interpretaciones de los
datos condensados en la TDF del punto a).
c) Realice el histograma, el polígono de
frecuencias y la ojiva de esta variable.
Answer:
sdfghjkl
Step-by-step explanation:
Please anyone help me
If die is rolled two times, find the probably of getting "1'twice.
Math Answer[tex] {1}\{36} [/tex]
Feel fre e too ask me
Please understand it
#BrainliestBunch
Which is a pair of vertical angles?
∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW
Answer: ∠TRS and ∠VRW (Choice B)
========================================================
Explanation:
Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.
Notice how lines TW and SV intersect to form an X shape.
The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.
Answer:
B ∠TRS and ∠VRW
Step-by-step explanation:
There is currently a linear bike path that goes through the points (4, 0) and (7, 4). The park commission is planning to build a new bike path that is parallel to the old one that passes through the point (2, 5).
Answer:
y = 3/4x +7/2
Step-by-step explanation:
slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value
x difference /y difference = 3/4 = slope
y = 3/4x
to find y-intercept, add a variable
y = 3/4x + B
then add the first x and y value point numbers into equation
0 = 3/4(4) + B
-3 = B
put back B into equation.
y = 3/4x - 3 which is the linear path the biker is going
now you can use another variable to find the new bike path
y = 3/4x + A
plug in the x value 2 and y value 5 from (2,5)
5 = 3/2 + A
A = 7/2
there-fore the new line which is parallel to the old line is:
y = 3/4x +7/2
Which division is shown by the model?
Step-by-step explanation:
where the model step by step explanation
Please help me solve this question
Answer:
A = 16 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )
Then b = 4 and h = 4 , so
A = 4 × 4 = 16 units²
find the missing length indicated.
Answer:
Step-by-step explanation:
x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:
[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get
[tex]x^2 =18225[/tex] so
x = [tex]\sqrt{18225}[/tex] and
x = 135
please help what is the answer?
Answer:
12
Step-by-step explanation:
The altitude divides the hypotenuse into parts using this proportion
6/n = n / 18 Cross multiply
n^2 = 6 * 18
n^2 = 108
n = sqrt(108)
n = sqrt(4 * 9 * 3)
n = 2*3 *sqrt(3)
n = 6*sqrt(3)
Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left
m^2 = n^2 + 6^2
m^2 = 6^2 *sqrt(3)^2 + 36
m^2 = 36*3 + 36
m^2 = 108 + 36
m^2 = 144
m = sqrt(144)
m = 12
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy?
Answer:
A. 15s < 200
Step-by-step explanation:
Which inequality represents how many pairs of shorts, s, the coach can buy?
A. 15s < 200
B.15s > 200
C. 15s <(with line under)200
D 15s >(with line under)200
Let
s = cost of eat short
Number of students (Short) = 15
Less than (<)
The inequality:
Number of short * cost of each short < $200
15 * s < 200
15s < 200
s < 200/15
s < $13.333333333333
Answer:A. 15s < 200
Step-by-step explanation:A. 15s < 200
What is the circumference os the circle shown below? (Round your answer to the nearest tenth.)
Answer:
Option C(66.0)
Step-by-step explanation:
C = 2πr
C=Circumference
π=3.14(pi)
r=radius
C=2x3.14x10.5
3.14x10.5=32.97
32.97x2=65.94
65.94 rounded to nearest tenth is 65.9, so basically 66.0.
When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase.
The length of a side before the increase is...
Answer:
Step-by-step explanation:
Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]
The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.
Put that together into an equation:
[tex]s^2+10s+25=s^2+895[/tex] and simplify to
10s = 870 so
s = 87
Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is
8464 - 7569 = 895 so we did good!
In a 100 metre race, the time of the winner was 10. 57 seconds and the time of the athel athlete who came third was 10. 64 seconds Write down a possible time for the athlete who came Second
Answer:
10.61
Step-by-step explanation:
