While guessing and checking is one way to do this problem, I will show you how to do it algebraically.
Let one side be A
Let the other side be B
2(A+B)=16
A*B=15
First equation because the perimeter is 16 and the second because the area is 15. Now solve the system of equations
A+B=8
A=8-B
Substitute into equation two
B(8-B)=15
-B^2+8b-15=0
B^2-8b+15=0
(B+3)(B+5)=0
B=3,5
A=5,3 respectively
From this we can see that one side is 5 meters long while the other side is three meters long.
Step-by-step explanation
Since we're looking at a rectangle, let's consider its perimeter and area formulas.
Perimeter: 2x + 2y (A rectangle has four sides, with two equal sides, so this is x + x + y + y simplified)
Area: (x)(y) (length x breadth so, x times y)
So we have two equations: 2x + 2y = 16 and x*y = 15. Solve simultaneously. Refer to the attached image.
What is the approximate volume of the cone below?
Yep A.
419 cm3
B.
1,257 cm3
C.
2,094 cm3
D.
8,377 cm3
2,094 cm^3
==========================================================
Explanation:
The diameter of 20 cm divides in half to the radius r = 10 cm.
The height is h = 20 cm.
V = volume of the cone
V = (1/3)*pi*r^2*h
V = (1/3)*pi*10^2*20
V = 2,094.3951023932 is approximate
I used my calculator's stored version of pi when computing the volume
That value then rounds to 2,094 cm^3 when rounding to the nearest whole number.
ANSWER GETS 50 POINTS PLEASE HELP FAST
Which of the following is NOT a possible root of the function for f(x)=3x3+ 2x2+x +4
Answer: It must be A
Step-by-step explanation:
The reason is because it is the only that is a integer and a fraction
what is the opposite of the opposite of -6
Answer:
-6
Step-by-step explanation:
Using additive inverse you will get the answer 6 because additive inverse is the opposite of a number on the number line. But you will reverse it again so it would be -6
Answer:
the opposite of -6 = 6
the opposite of the opposite of -6 = -6
Step-by-step explanation:
easy?
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x - 5y = 20?
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = [tex]\frac{4}{5}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{4}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , thus
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - [tex]\frac{5}{4}[/tex] x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
I need help with questions 10,11,12,13.
Thanks!
Answer:
1:2
4:1
1:5
5:7
I can't really give a step by step but just find the distance for the numerator and denominator and simplify
PLEASEEE help me on these 2 questions
Answer:
See below.
Step-by-step explanation:
Given numbers :-
⇒ 176, 231, 247, 256, 272, 299, 325, 343, 366, 375
⇒ Median = 272 + 299 / 2 = 285.5
⇒ Mean = 2890/10 = 289
(a) median if 375 becomes 265
⇒ 176, 231, 247, 256, 265, 272, 299, 325, 343, 366
⇒ New median = 265 + 272 / 2 = 268.5
⇒ Decreases by 17
(b) mean if 375 becomes 265
⇒ New mean = 2890 - 110 / 10 = 2780/10 = 278
⇒ Decreases by 11
Ray's favorite activity is taking a leisurely bike ride through the park after work. If he 326 burns calories every hour, how many hours does he need to ride in order to burn off an extra doughnut and large frozen latte that he ate that afternoon? The doughnut had 320 approximately calories, and the latte had 820 calories.
Answer: 3.5 hours
Step-by-step explanation:
From the question, we are informed that Ray's burns 326 calories every hour. We are further told that he ate a doughnut that had 320 calories, and a latte had 820 calories. The total calories will be:
= 320 + 820
= 1140 calories
The number of hours needed to burn the calories will be the total calories divided by the amount of calories burnt in an hour. This will be:
= 1140/326
= 3.5 hours
The perimeter of a regular nonagon is 45 m. How long is each side?
Answer:
5 m
Step-by-step explanation:
A nonagon has 9 sides. You get individual side length by dividing the perimeter by amount of sides. 45 divided by 9 is 5.
I need help ASAP.
Measure of Variabilty
Easy 30 points.
Answer:
The first one is 12.0, the second one is 12.9, and the third one is greater than or equal to I believe
Step-by-step explanation:
1. because it wants the average but the average is 12.9 so we use the median which is 12.0
2. because it is basically making it into a fraction so 12.9 is the total average
3. 2.4 is greater than or it can be equal to 1.5
Cindy and her family went out to eat for dinner and had a bill of $65.90 before tax and tip. There is a 7.5% tax and Cindy wants to leave a tip of 18%.
Step 1: What is her tax amount? $
Step 2: What is her bill now with the tax added? $
Step 3: What is the tip amount from Step 2's amount $
Step 4: What is the total bill amount with Step 3's amount? $
Answer: 1. 0.075 (i think) , 2. $70.84, 3. 4.77$ , 4. 71.15$ ( i think this is true i don't know fs.)
Step-by-step explanation:
E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12.
what is AB?
Answer:
AB = 36
Step-by-step explanation:
Since E is the midpoint of AB, then
AE = EB , substitute values
4x + 6 = 10x - 12 ( subtract 10x from both sides )
- 6x + 6 = - 12 ( subtract 6 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Thus
AB = AE + EB = 4x + 6 + 10x - 12 = 14x - 6 = 14(3) - 6 = 42 - 6 = 36
200% is equal to what fraction?
Original price? The discount is 40% in the sale price is $18
Answer:
$10.80
Step-by-step explanation:
Final Price = Original Price - Discount
Final Price = 18 - 7.2
Final Price = $10.80
Find the 64th term 2,−3,−8
[tex]2~~,~~\stackrel{2-5}{-3}~~,~~\stackrel{-3-5}{-8}~~,~~...~\hspace{10em}\stackrel{common~difference}{d = -5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{64}\\ a_1=\stackrel{\textit{first term}}{2}\\ d=\stackrel{\textit{common difference}}{-5} \end{cases} \\\\\\ a_{64}=2+(64-1)(-5)\implies a_{64}=2+(-315)\implies a_{64}=-313[/tex]
Answer:
-313 is the 64th term
Step-by-step explanation:
you take the second term an minus the first term with the second one {2-(-3)}
{=5} then you take two an minus five
it gives you -3 then you press minus five again it gives you negative eight then you press (equals to)until you reach the term you looking for
Change these decimals to fractions. reduce completely 0.25=
Answer:
1/4
Step-by-step explanation:
0.25
25/100
25 ÷ 25 = 1
100 ÷ 25 = 4
1/4
Given 7x + 2 58, which number is not in the solution set
Henry wraps a gift box in the shape of a square pyramid. The figure below shows a net for the gift box.
The amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
What is the Surface Area of a Square Pyramid?Surface area of a square pyramid = area of the square base + area of the 4 triangular faces = s² + 4(1/2bh).
We are asked to find the amount of wrapping paper that would be needed to wrap the gift box, which is the surface area of the gift box that has a square pyramid shape.
Given the following dimensions of the gift box:
s = 5.2 in.
b = 5.2 in.
h = 6.7 in.
Plug in the values into s² + 4(1/2bh):
Surface area of a square pyramid = 5.2² + 4(1/2 × 5.2 × 6.7).
Surface area of a square pyramid = 96.72 in.²
Therefore, the amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
Learn more about square pyramid on:
https://brainly.com/question/25823102
what is the simplest form of 28/91?
Answer:
4/13
Step-by-step explanation:
We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get [tex]\frac{4}{13}[/tex]
The product of 5 and a number x is 14. What is the value of x? x=1 9/4 x=1 2/0 x=5/4 x=4 3/4
Answer:
[see below]
Step-by-step explanation:
"The product of 5 and a number x is 14" would be:
[tex]5x=14[/tex]
[tex]5x=14\\\\\frac{5x=14}{5}\\\\ \boxed{x=2 \frac{4}{5}}[/tex] or 2.8
Hope this helps.
In Albany it is -4F, in Chicago it is -14F, in Minneapolis it is -11F, and in Toronto it is -13F. In which city is it the coldest?
Answer:
Chicago
Step-by-step explanation:
Compare the temperatures:
-4, -14, -11, -13
Numbers become smaller to the left on the number scale.
For instance, -10 is less than -5.
So, -13, -11, and -4 are all greater than -14.
And the lower the temperature, the colder it is.
Thus, Chicago is the coldest.
uh i have no clue so plz help
C= 5/9 (F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
|. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
||. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
|||. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Extra: Please help! I need it for math!!
Answer:
C = 5/9 (F - 32)
This is a temperature scale change comparison.
By this we understand, that ,
1°C = 5/9°F
Which is equal to, 5/9°F = 1°C
These two statements are satisfied by I. and II.
So, the correct answers are, I. and II.
If my answer helped, kindly mark me as the brainliest!
Thank You!!
explain how a cube root is different from a square root?
Answer:
See below.
Step-by-step explanation:
The only number this is true for is 1 . The square root and cube root of 1 is 1.
For all other perfect square/ perfect cube numbers they are different. For example square root of 64 is 8 and its cube root.
Re-write the equation 6x + 3y = 30 in slope-intercept form y=mx+b.
Slope=2
x−intercept= 2/10 =5
y−intercept= −10/-1 =−10.00000
Answer:
2x+y-10=0
Step-by-step explanation:
6x+3y=30 move the constant to the left and change its sign
6x+3y-30=0
6x+3y-30=0 divide both sides of the equation by 3
Which character thought he was back in the Bastille and fretted over his boots?
Answer:
Dr. Maette
Step-by-step explanation:
I'm not sure I've never read this :/
what is the area of this triangle
Answer:
Give the triangle area so we can solve it for you.
Step-by-step explanation:
½*base*height
Step-by-step explanation:
the triangle is not given so let us take its base=b,and height=h
by using the formula=½*base*height
½*b*h
Line parallel to y=0.5x+3 that passes through the point (−9,12)
Complete question is;
Write the equation of line in slope-intercept form. Line parallel to y = 0.5x + 3 that passes through the point (−9,12)
Answer:
y - 12 = 0.5(x + 9)
Step-by-step explanation:
We want to find the line parallel to y = 0.5x + 3 that passes through the point (−9,12).
To some this, we will use the equation;
y - y1 = m(x - x1)
Here, x1 = -9, y1 = 12, m = 0.5
Thus;
y - 12 = 0.5(x - (-9))
y - 12 = 0.5(x + 9)
select correct equation rule
Answer:
x/2
Step-by-step explanation:
2/2=1=y
4/2=2=y
6/2=3=y
Solve for x. Round to the nearest tenth of
a degree, if necessary.
с
7
8.1
A
B
3.9
Answer: 28.8
Step-by-step explanation:
A club puts its members into 5 groups for an activity. After 10 students have to leave early ,there are only 15 students left to finish the activity. How many students were in
each group?
Answer:
First, we need to figure out the total amount of students:
+ 10 students(ten students leave)
+ 15 students(15 students left)
10 + 15
= 25 students.
x = will represent the total amount of students in each group, so:-
5 groups per x students.
5x = 25(total students before alteration)
÷5 ÷5
x = 5, there are 5 students in each group.