Answer:
Smallest angle of triangle=26 degrees
Second angle of triangle =78 degrees
Third angle of triangle =76 degrees
Step-by-step explanation:
Let x be the smallest angle of triangle
Second angle of triangle=3x
Third angle of triangle=x+50
We know that
Sum of angles of triangle=180 degrees
Using the property
[tex]x+3x+x+50=180[/tex]
[tex]5x=180-50[/tex]
[tex]5x=130[/tex]
[tex]x=\frac{130}{5}[/tex]
[tex]x=26[/tex] degree
Smallest angle of triangle=26 degrees
Second angle of triangle =3(26)=78 degrees
Third angle of triangle =26+50=76 degrees
12+22+32+...+102 =?
Answer:
750 is the answer. Hope it helps!
Your cellphone plan is by the minute. Each minute of use costs $0.10. Create a relation that represents the amount spent, A, per minute, m, of call time.
Answer:
A = 0.10m
Step-by-step explanation:
A = total amount spent
0.10 = cost per minute
m = how many minutes
4)
Write an equation to model the
scenario:
You buy a house for $215,000. The
value of the house increases 3%
Each year
4/9 X (-1/8) SIMPLIFY
Answer:
-0.05555555555
Step-by-step explanation:
What is x/3 + x/5 ? Give the correct answer
Answer:
[tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] =
Step-by-step explanation:
We need to find the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex]
The LCM of 3 and 5 is 15. So,
[tex]\dfrac{x}{3}+\dfrac{x}{5}=\dfrac{5x+3x}{15}[/tex]
[tex]=\dfrac{8x}{15}[/tex]
So, the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] is equal to [tex]\dfrac{8x}{15}[/tex].
Which list of points are solutions to the graph of y = c – 2?
A
(8,4), (10,5), (12, 6)
B
С
(20,8), (30, 13), (40, 18)
(-20, -8), (-30, -13), (-40, -18)
(-8,-10), (-10,-12), (-12, -14)
D
HELP ME PLEASEE
Step-by-step explanation:
(-8,-10) (-10,-12) (-12,-14)
just plug them into the formula and see that it works.
2 + 3 + 4= ( 2 + 3) +4
Answer:
It equals 9 or it is true
Step-by-step explanation:
Answer:
yes they are the same
Step-by-step explanation:
they both equal 9
A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.
A 10.0 mL sample of copper has a mass of 89.6 g. What is the density of copper?
Answer:
8.96 g/cm3
Step-by-step explanation:
89.6 divided by 10 is 8.96
What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast
Answer:
9.5
Step-by-step explanation:
When rounding to the nearest tenth, check to see what the hundredths place value is.
If it is 0.05 or greater, we will round the tenths place up one.
If not, the tenths place will remain the same.
Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.
So, the correct answer is 9.5
if you have 60 G of fluorescent powder and 124 cups of medium base paint, and the ratio is one part powder to five parts paint how many cups of paint can I make with fluorescent powder
Answer:
1.268 cups
Step-by-step explanation:
60 G=0.2536 cups (I found a G to cup converter on the internet)
0.2536x5=1.268 cups of paint it would mix with at a 1 to 5 ratio
ABCD∼EFGH
The value of x is
Answer
didn't know there was an image
mark and heather starr are celebrating their 25th anniversary by having a reception at local reception hall. they have budget 4500 for their reception. if the reception hall charges 50 cleanup fee plus 30 per person find the greatest number of people they may invite
Answer:
Step-by-step explanation:
The $50 cleanup fee is a "fixed cost."
The "$30 per-person fee is a "variable cost." That is, it varies with the number of people.
"within" means "less than or equal to"
Cost = $50 + $30x [where x = number of people]
Cost ≤ $4500 ["stay within their budget"]
$50 + $30x ≤ $4500 [substitute for cost]
$30x ≤ $4450 [subtract $50 from both sides retains sense of inequality]
x ≤ 148.3333 [divide by +$30 retains sense of inequality]
Mark and Heather may invite up to 148 guests.
[note: to be "≤," always truncate, never round up]
Check:
148 people for $30 each + $50 is $4440+$50 = $4490.
One more person makes it $4520 -- that is too much.
There we go, my bad
Answer:
Step-by-step explanation:
First we need a linear equation for the situation. 50 cleanup fee applies regardless of how many people they have. Even if NOBODY shows up, they will be charged $50, so $50 is our y-intercept. If they are charged $30 per person, and we are looking for the number of people they can invite, x will represent the number of people and y will represent the cost of everything. The linear equation is
y = 30x + 50. If they have 4500 to spend, then
4500 = 30x + 50, and now solve it for x:
4450 = 30x and now divide by 30 to get
148 1/3 = x. Now, you can't invite a third of a person, so it would be safe to invite 148 people and you won't go over your budget.
Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.
Then on the way to the register, Lisa notices a cool pair of shoes that cost $39. If she wants those shoes and the jeans, how many t-shirts will she be able to purchase? Create an inequality to represent the number of t-shirts that Lisa can purchase?
Answer:
To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:
(150 - 58 - 39) / 14 = X
53/14 = X
3.78 = X
53 - (14 x 3) = X
11 = X
Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.
What is a probability that rolling a six-sided die results in 2 or 3?
The probability of rolling a 2 would be 1/6
The probability of rolling a 3 would be 1/6
The probability of rolling a 2 or a 3 would be 1/6 + 1/6 = 2/6, which reduces to 1/3
The answer is 1/3
Oliva used 1/2 pound of peppers and 1/15 pound of cheese to make 3 pizzas if she uses the same recipe to make 5pizza, how much cheese is needed
Answer:
oliva needs 5 pounds of cheese
Step-by-step explanation:
Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work
Answer:
Step-by-step explanation:
3x - 3y = -3
2x - 6y = 2
-6x + 6y = 6
2x - 6y = 2
-4x = 8
x = -2
-4 - 6y = 2
-6y = 6
y = -1
(-2, -1)
find the value of x
Answer:
the us 113, hope this helps you out
POINTS PLZ HELP!!!!!
Drag the terms to the correct locations in the expression. Not all terms will be used.
What is the complete factorization of 2x2 − 11x − 21?
x
2x
3x
1
3
7
they can be used more than once.
place them here
(__+__)(__-__)
Answer:
(2x+3)(x-7)
Step-by-step explanation:
2x^2+3x-14x-21
2x(x-7)+3(x-7)
The factors of the expression are (2x+3)(x-7).
What is factorization?Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.
For the given situation,
The expression is [tex]2x^{2} -11x-21[/tex]
The complete factorization of the expression is as,
⇒ [tex]2x^{2} -11x-21=0[/tex]
⇒ [tex]2x^{2} -14x+3x-21=0[/tex]
⇒ [tex]2x(x-7)+3(x-7)=0[/tex]
⇒ [tex](2x+3)(x-7)=0[/tex]
The value of x can be found as
⇒ [tex]2x+3 = 0[/tex] or [tex]x-7 = 0[/tex]
⇒ [tex]x=\frac{-3}{2}[/tex] or [tex]x=7[/tex]
Then -3/2 and 7 are the zeroes of the expression.
Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).
Learn more about factorization here
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2
8.
14
Y
2
10
50 250
Is the relationship linear, exponential, or neither?
Answer:
Exponential relationshipStep-by-step explanation:
Looking at the y-values, it seems a geometric progression with the common ratio of 5. Therefore it can be exponential relationship.
By trying the values in the table we get the equation:
y = 2×[tex]5^{(x+4)/6}[/tex]Please help me, I think this is easy but I just don't get it...
Answer:
the last one?
Step-by-step explanation:
i dont know, but that one seems like it would
Answer:
answer is A if only one can be chosen. if more than one can be, b might be an answer as well, but not c and d.
Step-by-step explanation:
think of a 3 4 5 triangle for answer a.
just remembered this method, do Pythagorean theorem for each answer. that will tell you which equals a triangle. answer a foe sure is one cmbecuase of a 3 4 5 triangle.
A package of 3 pairs of insulated gloves costs $16.77. What is the unit price of the pairs of gloves?
Answer:
5.59
Step-by-step explanation:
an eight foot ladder leans against a building. if the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach?
Answer:
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
Step-by-step explanation:
Think of a triangle with a 60 degree angle in the lower left corner. The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse. The other angle is 30 degrees.
We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle. Use the sine function here because it involves these knowns:
opposite side
sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2
Cross-multiplying, we get:
2x = (8 ft)(√3), or through reduction, x = (4)(√3)
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
With the ground, [tex]6.92 ft[/tex] the wall does the ladder reach.
What is right angled triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle.
According to the question
An eight foot ladder leans against a building. if the ladder makes an angle of 60° with the ground.
From the right angle triangle,
[tex]sin 60^{0} =\frac{h}{8}[/tex]
[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{h}{8}[/tex]
[tex]8\sqrt{3} =2h[/tex]
[tex]h = 4\sqrt{3}[/tex]
[tex]h = 6.92 ft[/tex]
Hence, With the ground, [tex]6.92 ft[/tex] the wall does the ladder reach.
Find out more information about right angle triangle here
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Find each missing side, then the perimeter
Answer:
A 10
B10
C10
in total is 106
Please help me!!!!!!!!!!
If you subtract 14 from twice a number, the result is 6. What is the number?
The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
There are some red counters and some yellow counters in a bag in the ratio 1 : 5
There are 20 yellow counters in the bag.
Janet puts some more red counters into the bag.
The ratio of the number of red counters to the number of yellow counters is now 1 : 2
How many red counters does Janet put into the bag?
Answer:
Janet put 6 red counters into the bag
Step-by-step explanation:
There are 5 yellow counters for every 1 red counter. If there are 20 yellow counters in the bag then there are 4 red counters. (20/5). If the ratio becomes 1:2 this means there are 2 yellow counters for every 1 red counter. There are 20 yellow counters so there must be 10 red counters in the bag. (20/2). 10 - 4 = 6. Janet put 6 red counters into the bag. (Brainliest would be appreciated!)
help me solve this please.
2. ABCD is a square and P, Q are the midpoints of BC,CD respectively. If AP = a
and AQ = b. find in terms of a and b the directed line segments (i) AB (ii) AD
(iii) BD and (iv) AC.
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (four sides and angles). All the sides and angles of a square are equal. Each angle of a square is 90° and the diagonals are equal.
In square ABCD:
AB = BC = CD = AC (all the sides of a square are equal)
Given that P is the midpoint of BC and Q is the midpoint of CD. AP = a and AQ = b.
a) Triangle APB is a right angled triangle:
BC = AB (all sides of a triangle are equal)
PB = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + PB² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = 0.8a²
AB = a√0.8
b) Triangle AQD is a right angled triangle:
AD = DC (all sides of a triangle are equal)
DQ = 1/2 (DC) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = 0.8b²
AD = b√0.8
c) In right triangle ADB, Using Pythagoras theorem:
AB² + AD² = BD²
But AB = AD
Substituting:
0.8a² + 0.8b² = BD²
BD = √(0.8a² + 0.8b²)
But AD = AB, hence 0.8a² = 0.8b²
BD = √(1.6a²)
BD = a√1.6
D) AC = AD (diagonals of a square are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) = b√1.6
An arithmetic sequence has the following properties:
The sum of its 18 term and 4th term is 29
1) The sum of its oth and 8th terms is 74
Find a formula for the nth term T of this sequence.
Answer:
Easy peasy
Step-by-step explanation:
7+(n-1)5