Answer:
6
Step-by-step explanation:
21x + 28 + 2 = 156
= 21x = 126
= x = 6
Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?
A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.
B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.
C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.
D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.
Answer:
The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght
What is the equation of the line that passes through point (3, −1) and has a slope of 2?
Answer:
equation y = 3x + b.
Step-by-step explanation:
To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept. First, substitute the given slope in for m. We get the equation y = 3x + b.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?
Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.
Answer:$p$ =$4 when $q=49$.
Step-by-step explanation:
If $p$ and $q$ are inversely proportional, then mathematically, they are represented as
$p$ ∝ 1/$q$
So that introducing the constant of proportionality,k becomes
$p$ =k 1/$q$
$p$ =k /$q$
When $p=28$ when $q=7$,K becomes
$p$ =k /$q$
$28=K/ $7
k=$28 x $7 =$196
Now when $q=49$., $p$ becomes?
$p$ =k /$q$
$p$ =$196/49$
$p$ =$4
Cash in hand $79; Bank overdraft $27
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
Graph inequality y< -3/2x -6
Answer:
Hope this helps...have a nice day/night!!Answer:
Step-by-step explanation:
You graph it
given that cot(θ)= -√5/3 and cos(θ) < 0, find sin(θ)
D. 3√14 /14
Step-by-step explanation:
given that cot(θ)= -√5/3 and cos(θ) < 0
cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.
cot(θ)= -√5/3 => x = -√5 , y = 3
h = √(-3)²+5 =√14
so, sin(θ) = y/h = 3/√14 = 3√14 /14
What is the. Length of a
Answer:
One of the altitude formed from the vertex to the base and its magnitude given as 12cm
There is also a hypotenuse whose length is 15cm
By pythagorean theorem b^2 +a^2= c^2
so 12^2+a^2 = 15^2
=> 144+a^2 = 225
=> a^2 = 225-144
=> a^2 = 81
so the length of a = √81 = 9 cm (ans)
Hope it helps
Answer:
c
Step-by-step explanation:
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What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
Step-by-step explanation:
using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4
Answer:
Step-by-step explanation:
(x1,y1)= (-5,-4)
(x2,y2)=(-1,6)
Distance=√(x2-x1)²+(y2-y1)²
=(-1-5)²+(6-4)²
=(-6)²+(10)²
=36+100
=136 answer,,
therefore, the slope of the line is 136unit
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
determine the equation of the circle graphed below .
( help please )
Answer:
(x+5)²+(y+7)²=4
Step-by-step explanation:
just count it
Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
Identify an expression that is equivalent to 0.3(12y). HELP PLEASEEE
Answer:4.5y
Step-by-step explanation: you have to multiply 15 times 0.3 and u get 4.5y
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Step-by-step explanation:
B3)
z + 127 = 180 {linear pair}
z = 180 - 127
z = 53
y= 55 {Corresponding angles}
w + z + y = 180 {angle sum property of triangle}
w + 53 + 55 = 180
w + 108 = 180
w = 180 -108
w = 72
x = w {Vertiaclly opposite angles}
x = 72
B4) q + 101 = 180 {Linear pair}
q = 180 -101
q = 79
p = 142 {Corresponding angles}
p + s = 180 {linear pair}
142 + s = 180
s = 180 - 142
s = 38
s +q +r = 180 {angle sum property of triangle}
38 + 79 + r = 180
117 + r = 180
r = 180 - 117
r = 63
y + 63 = 180 {linear pair}
y = 180 - 63
y = 117
x = q = {corresponding angles}
x = 79
given an = -4 + (n - 1)7. what is arithmetic sequence
Answer:
Step-by-step explanation:
The given an = -4 + (n - 1)7 is already an arithmetic sequence with first term -4 and common difference 7. A more proper form would be an = -4 + 7(n - 1).
The first five terms of this sequence are {-4, 3, 10, 17, 24}
expand and simplify pla
PLEASE HELP
I REALLY NEED ALOT OF HELP
Answer:
i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3
Step-by-step explanation:
Please help thanks! Brainliest
The value of [tex] \:\frac{ - 9 + ( - 11)}{4} + 8\:[/tex] is [tex]3[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
ans this question plsssssssssssssssss
Answer:
4). 0.00000302
corecct answer
HELP ME PLEASE
find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h
1025 + 503 – 1412 – 7
franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4
Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?
Answer:
Step-by-step explanation:
1/4
if a person gives you their card number and they say you can spend a certain amount of money and u spend more is it considered stealing? or is it not because they gave u their card willingly and all u did was go over the limit.
Answer:
It would be considered stealing.
Step-by-step explanation:
They did willingly give you their card BUT, they trusted you to only spend a certain amount and not go over that certain limit. You went over the limit even though they specifically told you not to go over it so yes, it would be classified as stealing.
Solve for x.
A. 12
B. 1
C. 3
D. 5
Answer:
1
Step-by-step explanation:
hope this helps <3
The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
From the tangent-chord angle theorem:
Angle CBA = (1/2)[360 - (272x+2)]
Angle CBA = (1/2)[360 - 272x - 2]
Angle CBA = (1/2)[358 - 272x ]
43x = 179 - 136x
179x = 179
x = 1
Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
Learn more about circle here:
brainly.com/question/11833983
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A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation: