Answer:
Rectangle B
Step-by-step explanation:
Rectangle A:
L × B
3.25 × 6.1
19.825 inches
Rectangle B:
L × B
4.06 × 5.009
20.33654 inches
Find the greatest common factor of 34 and 36.
Answer:
2
Step-by-step explanation:
Factors of 34 include : 1,2,17 and 34
Factors of 36 are : 1,2,3,4,6,9,12,18,36
The only two common are 1 and 2
2 is greater tha one
So the gcf is 2.
Brainliest would be appreciated
Answer:
The greatest common factor is 2.
Step-by-step explanation:
You need to find the greatest common factor between 34 and 36.
Factors of 34: 1, 2, 17, and 34.
1*34=34
2*17=34
17*2=34
34*1=34
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Therefore, the greatest common factor of 34 and 36 is 2, which is our answer.I hope this helps! Let me know if you have any questions.
write 12/root2 + root18 in the form broot2 where b is an interger
[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]
where do the graphs of f(x)=cos(x/2) and g(x)= sqrt2 - cos(x/2) intersect on the interval [0,360)?
(See image below for clear question and answer choices)
Answer:
(a) 90°
Step-by-step explanation:
A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.
__
You can also determine this analytically.
f(x) = g(x)
cos(x/2) = √2 -cos(x/2)
2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)
cos(x/2) = √2/2 . . . . . . . . divide by 2
x/2 = ±45° +360°×n . . . . . for an integer n
x = ±90 +720°×n . . . . multiply by 2
x = 90° is the only solution in the desired range.
Evaluate the following expression
(10 + 2) = 6 + 53
Answer:12=59
Step-by-step explanation:
Given the figure below, find the values of x and z.
120°
(9x + 30).
Answer:
z=60º, x=10º
Step-by-step explanation:
Question 1: 180º - 120º = 60º
Question 2:
(9x+30) = 120º
-30 -30
9x=90º
/9 /9
x=10º
john has 15 apples. john eats 6 apples.how many apples does john have left.
Answer:
9
Step-by-step explanation:
1. How many degrees are in this angle, which is one-fourth of the circle?
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
90* x 4 = 360*
360* / 4 = 90*
Step-by-step explanation:
A circle has 360* all around.
In the angle that was drawn, it is 90*
The degrees for the space outside of 90* is x
x = ? 360* - 90* = 280* x = 280*
hope this helped
A bad contains two red marbles, six blue marbles and seven green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest thousandth, the both marbles drawn will be red
Answer:
1/105
Step-by-step explanation:
Total Marbles= 2+6+7=15
2/15 * 1/14 = 2/210 = 1/105
(It becomes 1/14 since you take out own red marble)
HELP
10 points
And brainleist
Answer:
5 and 6 are vertical
1 and 2 are linear pair
Step-by-step explanation:
1 and 2 are linear pair because they add up to 180 degrees
5 and 6 are across from each other so they are vertical angles
Can someone help me please?
Answer:
Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000
Step-by-step explanation:
Hope this helped
Which pieces of information may be found on a person's credit report?
Select each correct answer.
past due bills
social security number
marital status
medical history
criminal record
mortgage payment
Answer:
Past due bills
social security number
mortgage payment
A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?
First, how many days are in a week?
7 days are in a weekSo 7x 2/3First, Convert any mixed numbers to fractions.
Then your initial equation becomes:
2/3×7/1
Applying the fractions formula for multiplication,
=2×7 x 3×1
=14/3
Simplifying 14/3, the answer is
4 and 2/3
Therefor, your answer is 4 2/3
1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.
Answer: 60 miles
Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.
Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60
It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)
Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4
Answer:
Option C) is correct......
Gavin needs to fill the fish tank below with water. The directions state that the water level
should be 2 inches below the top of the tank. Write an expression to show the volume of water
Gavin needs to fill the tank according to the directions.
(2x-6) inches
00
x inches
2x inches
Answer:
the volume is 300cubic inches
the expression is l x w x (h-2)
Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the the origin. Where should Gabe place the bulb to ensure a perfect beam of light?
(0,1)
(0,4)
(1,0)
(4,0)
Answer:
C. (1,0)
Step-by-step explanation:
If we make use of a parabolic reflecting mirror and a light source.
Given thar the equation of parabolic mirror is Y2 = 4ax
The given data in the problem is x = 1 and y = 2
So subject value is y2 = 4ax
4 = 4 a (1)
a = 1
So x = 1
thus focus is at (x, y) = (1,0)
Therefore, option C is correct answer.
Graph the given function by making a table of coordinates
Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?
Answer:
6048 cm2Step-by-step explanation:
32*9*21
Finding volume is simple as pie for a cube.
Length*Height*width
Given the 4 points below,
identify what shape is
formed and how you
found your answer.
A(-1,0), B(0, 2), C(4,0), and
D(3,-2)
basically it's a quadrilateral
hope it really helps..!!
100 PTS HELP PLS To the nearest 50 square feet, what is the area of the actual store?
Question 1 options:
2,350 square feet
2,450 square feet
2,500 square feet
2,400 square feet
Answer:
2,500 square feet is the answer
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 6y = 5z = 11.5Step-by-step explanation:
Reflections of a line or a figure across an axis does not change its lengths.
Therefore, the corresponding parts are equal.
5x = 302y = 102z - 1 = 22Solving for x
5x = 30Divide each side by 55x/5 = 30/5x = 6Solving for y
2y = 10Divide each side by 22y/2 = 10/2y = 5Solving for z
2z - 1 = 22Add 1 to each side2z - 1 + 1 = 22 + 12z = 23Divide each side by 22z/2 = 23/2z = 11.5find the binomial factor s^2+10s+25
[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]
Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)
Answer:
370
Step-by-step explanation:
FV = PV ( 1 + i) i = interst in decimal
400 = PV ( 1.08)
PV = 400 / 1.08 =
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
Answer:
x = -5 plus/minus sqrt( 26 )
Step-by-step explanation:
Let's remember the binomial square formula
A^2 + 2AB + B^2 = (A + B)^2
We have:
x^2 + 2*5x -1
Hence, if we replace
A = x
B = 5
we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2. [++]
Based on this reasoning, let's set f(x) = 0
x^2 +10x -1 = 0
Let's add 26 on both terms:
x^2 +10x +25 = 26
Based on [++]: (x + 5)^2 = 26
Square root on both sides
(x + 5) = plus/minus sqrt (26)
x = -5 plus/minus sqrt (26)
Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.
Answer:
Step-by-step explanation:
Arithmetic sequence:
[tex]\boxed{a_n =a + (n-1)*d)}[/tex]
a₅ = 10 a + 4d = 10
a₆ = 8 a + 5d = 8
Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'
(I)*(-1) -a - 4d = -10
(II) a + 5d = 8 {Now add}
d = -2
Substitute d = -2 in equation (I)
a + 4*(-2) = 10
a - 8 = 10
a = 10 + 8
a = 18
a = 18 , d = -2
Sequence: 18 ,16 , 14 , 12 , 10 , ......
What is the probability of rolling a 7 or 8 on an 8-sided die?
Answer:
2/8
Step-by-step explanation:
denominator is 8 as it's the total of the entire dice.
your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2
answer is 2/8
Question 8
The Woodlands Middle School poll results show that about 79.3% of
people who prefer pizza are students and about 81% of the people
who prefer burgers are students.
Which of the following statements is true?
Pizza
There is not enough evidence to
support a relationship between lunch
preference and role at the school.
Students
Teachers
79.3%
20.7%
100%
Burgers
81.0%
19.0%
100%
Total
There is evidence to support a
relationship between lunch preference
and role at the school.
Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.
Question 1 of 6
What is the logical conclusion, based upon the information given in the
problem below?
At a recent baseball game, anyone under age 9 was given one free hotdog.
Travis had to pay for the hotdog that he ate. How old must Travis be?
O A. 6 years old
O B. 11 years old
C. 8 years old
Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.
Linear equations are commonly organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = the y-intercept (the value of y when x=0)To find the equation of a line given two points:
Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equationSolving the QuestionWe're given:
The line passes through the points (8,-45) and (2,-9)First, determine the slope using the following formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
⇒ Plug in the given points (8,-45) and (2,-9):
[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=-6x+b[/tex]
Now, determine the y-intercept:
[tex]y=-6x+b[/tex]
⇒ Plug in one of the given points as (x,y) and solve for b:
[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]
Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:
[tex]y=-6x+3[/tex]
Answer[tex]y=-6x+3[/tex]