Answer:
39 deg
Step-by-step explanation:
The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.
(114-36)/2 = 39 deg
Given three consecutive odd integers, what is the greatest number if triple of the sum of thrice the third one and twice the first one is equal to 291? ( grid-in )
Let n be the smallest of these integers. The other two are then n + 2 and n + 4.
"triple of the sum of thrice the third one and twice the first one is equal to 291" is a long-winded way of saying
3 (3 (n + 4) + 2n) = 291
Solve for n :
3 (3n + 12 + 2n) + 291
3 (5n + 12) = 291
15n + 36 = 291
15n = 255
n = 17
Then the greatest of the three integers is n + 4 = 21.
A class consists of 30 students: 12 of them study French, 8 study German, 3 students study both languages, and the remainder of the students do not study a langage. If a student is chosen at random, find the probability that the student studies French given that he or she studies a language. (Can steps be provided too as well pls)
Answer:
The answer and explains are in images
Step-by-step explanation:
The center of a hyperbola is located at the origin. one focus is located at (0, 20), and its associated directrix is represented by the line y = . what is the equation of the hyperbola? = 1 = 1 = 1 = 1
The equation of the hyperbola is D. [tex]y^2/16^2-x^2/12^2=1[/tex]
Calculations and Parameters:Given that the focus is at (0, 20)
Directrix is y= -256/20
What is the relation between a, b, and c?
[tex]a^2 +b^2 = c^2\\b^2 + (16)^2= (20)^2\\b^2= 400 -256\\b^2= 144[/tex]
b= 12
Making use of the vertices, foci, asymptotes, directrices, and standard equation, we find the equation of the hyperbola is [tex]y^2/16^2-x^2/12^2=1[/tex]
Read more about hyperbolas here:
https://brainly.com/question/11641359
Answer:
D
Step-by-step explanation:
What values of a and b would make the equation shown below have infinitely many solutions?
ax+6=-3x+b
Answer:
a=-3
b=6
Step-by-step explanation:
equation 1: ax+6
equation 2: -3x+b
get the -3 from equation 2 and plug it into equation 1
get the 6 from equation 1 and plug it into equation 2
Please help!! Will mark brainlyest.
Answer:
(3,-1)
Step-by-step explanation:
Solve the following:
a) 4x-3 = 2x + 7
b)
2x+6=7x14
[tex]\huge \qquad \qquad \sf \underline{Answer}[/tex]
[tex] \textbf {Let's Solve :}[/tex]
Question 1 :
[tex]\textsf{4x - 3 = 2x +7}[/tex][tex]\textsf{4x -2x = 3 +7}[/tex][tex]\textsf{2x = 10}[/tex][tex]\textsf{x=5}[/tex]Question 2 :[tex]\sf{2x + 6 = 7 \times 14}[/tex][tex]\sf{2x + 6 = 98}[/tex][tex]\sf{2x = 98-6}[/tex][tex]\sf{2x = 92}[/tex][tex]\sf{x=46}[/tex]
What number is represented by P
The number that is represented by P is 0.0057
Narrow it down.The point P is between 5 * 10^-3 and and 6*10^-3When you go to the bottom line, P is on the 7th division from the left.Going from left to right increases PP is on a line that goes between 5 and 6. Each division is 1/10. So P is in the tenth place.One of the answers is 5.7 * 10^-3The other answer is .0057I really don't know which one to choose because we are given no direction. As a programmer, 0.0057 would be easier to program. I would choose it.If it is not correct, then 5.7 * 10^-3 is the answer.
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer: 16
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x ≥ 8
(x = 8, 9, or 10)
Step-by-step explanation:
mean = [sum of terms]/[number of terms]
7.5 ≤ (8 + 7 + 5 + 9 + 10 + 7 + 6 + x)/8
7.5 ≤ (52 + x)/8
60 ≤ (52 + x)
8 ≤ x OR
x ≥ 8 OR
x = 8, 9, or 10
one way to arrange the data in a set of columns and rows is called
Answer: one way to arrange the data in a set of columns and rows is called a table
Step-by-step explanation:
The rows go across and columns go down
Help ASAP PLEASE
Directions: Before school began, Mrs. Weeks bought a total of 86 balls.
Use the information below to help you write a
numerical expression for the
number of each type of ball. Then record the total number of each type of ball.
footballs - There are 8 footballs.
basketballs - Two more than twice the number of footballs are
basketballs.
baseballs - Four less than 5 times the number of footballs are
baseballs.
softballs - Six more than half of the baseballs are softballs.
Type of Ball. Football, baseball, basketball, softball.
Numerical Expression for the Each
Number of Balls.
(given)
Total number of each type of ball.
8
Use the space below to show your work. Check your work very carefully because you will need to use your answers to complete Part 2.
Before school began, Mrs. Weeks bought a total of 86 balls. Total number of each type of ball 8. There are 18 Basketballs, 36 Baseballs, 15 Softballs
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Before school began, Mrs. Weeks bought a total of 86 balls.
Total number of each type of ball 8.
footballs - There are 8 footballs.
Basketballs - Two more than twice the number of footballs are Basketballs .
So, Basketballs = 2 + 2(8)
= 18
Baseballs - Four less than 5 times the number of footballs are
Baseballs .
So, Baseballs = 5(8)- 4
= 36
Softballs - Six more than half of the baseballs are softballs.
So, Softballs = 6 + 1/2 baseballs are softballs
= 6 + 1/2 (18)
= 15
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ1
IDΚ, help, what's the value of x,
8x-2=-9+7x
Answer:
x = -7
Step-by-step explanation:
8x - 2 = -9 +7x
in this type of problem you have to get all the X's together on one side, and all the common variables together on the other.
8x = -7 + 7x (you add 2 to boths sides. The -2 and 2 clear out on the left side. The 2 and -9 added together forms -7 on the right)
x = -7 (you subtract 7x from both sides. The 7x and -7x cancel out on the right and you are left with on 1 x on the left side)
Answer:
x = -7Step-by-step explanation:
In this question we have given an equation that is 8x - 2 = -9 + 7x . And we're aksed to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 8x - 2 = -9 + 7x[/tex]
Step 1 : Adding 2 to both sides :
[tex] \longmapsto \qquad \:8x - \cancel{ 2} + \cancel{ 2} = - 9 + 7x+2[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \:8x =7x - 7[/tex]
Step 2 : Subtracting 7x on both sides :
[tex] \longmapsto \qquad \:8x - 7x = \cancel{7x} - 7 - \cancel{7x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = - 7}}}}[/tex]
Henceforth , value of x is - 7 .Verifying : -
Now ww are verifying our answer by substituting value of x in given equation . So ,
8x - 2 = -9 + 7x8 ( -7 ) - 2 = -9 + 7 ( -7 )-56 - 2 = -9 - 49-58 = -58L.H.S = R.H.SHence, Verified.Therefore, our answer is correct .
#Keep LearningWhat is the least common multiple of 42 and 32?
Answer:
672
Step-by-step explanation:
Answer:
672
Step-by-step explanation:
Multiples of 32
32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768
Multiples of 42
42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798
Evaluate
(
3.5
×
10
−
4
)
−
(
7.63
×
10
−
6
)
Give your answer in standard form to 2SF
Answer:
=0.000342
Standard form is 3.4237×10[tex] {}^{-4} [/tex]
Step-by-step explanation:
------------------
If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream, What
function would represent the situation?
Remember it should look like y=mx+b.
The slope of the linear equation is 0.37, then the linear equation will be represented as y = 0.37x + 4.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream. Then the linear equation is given as
[tex]\rm y=mx+c[/tex]
We have
m = $0.37
c = $4
Then the linear equation will be
y = 0.37x + 4
More about the linear system link is given below.
https://brainly.com/question/20379472
Briefly describe The Monty Hall Problem
What value of k makes the following equation true?
k/3= 36
Answer:
k=108
Step-by-step explanation:
Your equation is k divided by three equals thirty six, since youre dividing in youre equation you would just multiply to undo the divison. So, 36 time 3 equals 108, and if youre not sure about youre answer you can plug in 108 to your equation, so 108/3=36 this is true so you know your answer is true. hope this helped:)
please help me solve this
Answer:
solve by using pythagoras theorrm then
square on both side
A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and a height of 3 yards. What is the surface area of the square pyramid?
Answer:
16 yd^2.
Step-by-step explanation:
Surface area = area of square + 4 * area of 1 triangle
= 2*2 + 4 * 1/2 * 2 * 3
= 4 + 4*3
= 16 yd^2.
Mr silva bought five watermelons for a school party. Each watermelon weighs 9 kilograms. How many grams do all 5 watermelons weigh?
Answer: 45000g
Step-by-step explanation:
Total no of watermelons - 5
Weight of each - 9 Kg
Therefore quantity of 5 such watermelons -5x9 =45 kg
1 kg=1000 g
45x1000
45000 grams
Kim has a piece of fabric that is 1/6 of a meter long. She wants to cut the fabric into 7 equal pieces. How long,in meter, will each piece of fabric be?
Answer:
0.0238 meter per pieces
Step-by-step explanation:
(1/6)/7=0.0238
For confirmation:-
0.0238*7=0.1666=1/6
Answer:
0.02381m
Step-by-step explanation:
1/6 of a meter is 16.667 cm.
16.667 divided by 7 = 2.381cm
To check: 2.381 x 7 = 16.667 (correct)
2.381 cm in meters is 0.02381 m.
The answer is 0.02381m.
i need help 9th grade math
Need help ASAP for math
Answer:
1 and 3 are corresponding angles
Answer:
It is Vertical Angles
Step-by-step explanation:
Because they just are because I know what I'm doing
please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
Step-by-step explanation:
There is only one answer. If you choose an additional one, you will get it wrong.
5m = 2m + 3m
PLS HELP I WILL GIVE 25 POINTS THIS IS REAL QUESTION!!!!!!!
Answer:
7040 yards = 4 miles
Step-by-step explanation:
pls mark brainliest
Prove that (1-cos^2 60)(1+cos^2 300)= 2sin^2 120- sin^4 60
IM NOT SURE I UNDERSTAND HELP
Answer:
Mixed Numbers
Step-by-step explanation:
It would be this because they contain decimals.
Answer: Irrational numbers
Step-by-step explanation: Not integer or whole numbers. They have e the symbols of irrational numbers, they are not simple fraction either
Which graph best represents a system of equations that has no solution?
Answer:
um i think no.C but don't know how to explain
Answer:
C
Step-by-step explanation:
C, because there ain't no lines intercepting on graph c
In which situation is it BETTER to use a debit card instead of a credit card?A) Jackson does not balance his checking account daily.B) Jena is buying art supplies online for her drawing class.C) Charlie is on a tight budget; so, he can only buy necessary items.D) Jane needs to build up her credit score so that she can purchase a car.Eliminate
328+5784-56+586-6432+86
Answer:
296
Step-by-step explanation:
328+57843=6112
56 + 586=642
6432+86=6518
BUT ADD THEM ALL UP YOU GET 296