B. A parallelogram is a rectangle.
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55Helpppp pleaseeee !!!!!!
Answer:
149 inches squared
Step-by-step explanation:
top rectangle: 25 * 7 = 175
second rectangle: 8 * (25 - 17) = 8^2 = 64
triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10
175 + 64 + 10 = 149 sq in
hopefully got this right!
If give 7 billions for 7 millions people. What is total?
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!
Basically count/add up the total amount of degrees that are include in the angle <FHD.
-- (central angles)
So, 35 + 65 = 100 degrees
What is an example in your house of a point ?
Answer:
Step-by-step explanation:
Nothing. A point is dimensionless. Ugh what an awful LOL.
How about the tip of a candle that has never been lit?
What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
Find the length of x
Answer:
20
Step-by-step explanation:
Since the triangles are similar then the sides must be proportional
10/6 = x/12 cross multiply expressions
6x = 120 divide both sides by 6
x = 20
What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49
need help asap today by 5
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
For more information on this visit
https://brainly.com/question/24131141?referrer=searchResults
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
how many inches is 775 centimeters
Answer:
305.11
Step-by-step explanation:
Just use a calculator. A centimeter is 2.5 inches. Divide 775 by that.
Which type of transformation is this?
The type of transformation in this situation is refelction on the x-axis.
It cannot possibly be translated or rotated around the origin.
Hope this helps!
Have a wonderful day!
Evaluate 4(3 - 1)^2..
Answer:
16
Step-by-step explanation:
4(3 - 1)^2
~Simplify using PEMDAS
4(2)^2
4(4)
16
Best of Luck!
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?
You get a pie chart to do percentages just so you dont cheat you still can do work y'know
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
Hi, Which option is correct??
Answer:
B
Step-by-step explanation:
option B is not similar.
the ratio of each side isn't same
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.
Answer:
a = 50°
b = 130°
c = 50°
d = 50°
e = 130°
f = 130°
g = 50°
Answered by GAUTHMATH
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22
Step-by-step explanation:
6a.
[tex] - 5 = - 3 + a[/tex]
[tex] - 2 = a[/tex]
6b.
[tex]3c + 2 = - 22[/tex]
[tex]3c = - 24[/tex]
[tex]c = - 8[/tex]
F is on the bisector of angle BCD. Find the length of FD (with lines over FD)
Answer:
8n-2 = 6n+9
2n-2 = 9
2n = 11
n = 5.5
So C is correct
Let me know if this helps!
3,125 subtracted by what can give me 514
Answer:
2611
Step-by-step explanation:
3125-2611= 514
for more answers check my bio
WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold
Answer:
General admissions sold: 880
Reserved seating sold: 256
Step-by-step explanation:
Set up equation:
Variable x = people who bought general admission
Variable y = people who bought reserved seating
x + y = 1136
5x + 7y = 6192
Isolate a variable in any equation:
Y = 1136 - x
Substitute the value of the variable in the other equation:
5x + 7(1136 - x) = 6192
5x + 7952 - 7x = 6192
-2x + 7952 = 6192
-2x = -1760
x = 880
Substitute the value of x in any equation:
880 + y = 1136
y = 256
Check your work:
880 + 256 = 1136
1136 = 1136
Correct!
5(880) + 7(256) = 6192
4400 + 1792 = 6192
6192 = 6192
Correct!
3a + 2 = 20
5(b+1) = 10
3 (2y - 3) - 2y = y-3
2+ (2+4p) =6p
Please answer these questions with steps please!
7x+2y=19
7x+8y=13
Please solve it by Simultaneous method
Answer:
y=-1
x=3
Step-by-step explanation:
7x+2y=19-----(1)
7x+8y=13------(2)
(1)-(2)
(7x+2y)-(7x+8y)=19-13
7x+2y-7x-8y=6
+2y-8y=6
-6y=6
y=-1
by substitute in (1)
7x+2*(-1)=19
7x-2=19
7x=19+2
7x=21
x=21/3
x=3
The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0
Answer:
(4, 6 )
Step-by-step explanation:
Given the equations
x - y + 2 = 0 ( subtract - y + 2 from both sides )
x = y - 2 → (1)
2x + y - 14 = 0 → (2)
Substitute x = y - 2 into (2)
2(y - 2) + y - 14 = 0 ← distribute and simplify left side
2y - 4 + y - 14 = 0
3y - 18 = 0 ( add 18 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Substitute y = 6 into (1) for corresponding value of x
x = 6 - 2 = 4
solution is (4, 6 )
Difference of the square of (x+6)(x+4)
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24
What is the smallest 3-digit palindrome that is divisible by both 3 and 4?
Answer:
252
Step-by-step explanation:
To be divisible by 3, it's digits have to add to a number that is a multiple of 3.
To be divisible by 4 its last 2 digits have to be divisible by 3.
So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.
212 that's divisible by 4 but not 3
222 divisible by 3 but not 4
232 divisible by 4 but not 3
242 not divisible by either one.
252 I think this might be your answer
The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4
SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!