Answer:
( b + 1 ) ( b - 12 )
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
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What are the solutions to 6x²-5x-4=0?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
Someone help and plz make sure Its right plz ;)
Answer:
11.6 mi
Step-by-step explanation:
A^2+B^2=C^2
A^2+4.2^2=12.3
A^2=133.65
A=11.5607093
A=11.6
- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
Answer:
- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
Tysm only this one left
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6
If a pollster wants to increase their ability to predict the outcome of an election, one thing they can do is increase the
size of the sample. By doing so:
O nonresponse will be eliminated.
the results of the sample will be unbiased.
the variability of the sample results will be reduced, giving greater precision in the estimate.
the pollster can be certain that he can correctly predict the outcome of the election.
Answer:
the variability of the sample results will be reduced, giving greater precision in the estimate.
Step-by-step explanation:
this worked on edg for me!
Consider the line shown on the graph below. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. Enter the equation of the line in the form y=mx + b where m is the slope.
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
Scientists tagged 950 pike for a research project about a local lake. Later, they trapped 100 pike, of which 10 had tags. To the nearest whole number, what is the best estimate for the pike population?
Answer:
9500
Step-by-step explanation:
Scientists tagged 950 pike for a research project about a local lake. Later, they trapped 100 pike, of which 10 had tags. To the nearest whole number, what is the best estimate for the pike population?
The best estimate of a population is calculated as:
= N = mn/k
Where N = Estimate of the population
m = 950 pike
n = 100 pike
k = 10 tags
= 950 × 100/10
= 9500
The best estimate of he population = 9500
Describe a sequence
Solve one-sixth ÷ two-sixths
A. start fraction 2 over 12 end fraction
B. one-sixth
C. one-half
D. 6
help plz
Answer:
C. one-half
Step-by-step explanation:
1/6 / 2/6
1/6 *6/2
=1/2
Hope this helps!!
Answer:
C)
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Your problem should be set up like so:
[tex] \frac{1}{6} \div \frac{2}{6} [/tex]
When dividing fractions you multiply by the reciprocal of the second fraction. Therefore your question changes to this:
[tex] \frac{1}{6} \times \frac{6}{2} [/tex]
You multiply as across as normal and you'll end up with
[tex] \frac{6}{12} [/tex]
Which when simplified gives you
[tex] \frac{1}{2} [/tex]
A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new birds. Write a recursive rule for the number of birds an of birds at the start of the nth year A1=____. An=____
Answer:
[tex]A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60[/tex]
Step-by-step explanation:
We just put the task description into the answer :)
The last line can also be shortened to:
[tex]A_n = 85\%\cdot A_{n-1} + 60[/tex]
or
[tex]A_n = 0.85A_{n-1} + 60[/tex]
2. Which of the following statements is FALSE?
A. In parallel lines, the distance between the two lines is fixed and the two lines are going
in the same direction.
B. Perpendicular lines are lines that intersect at one point and form a 90° angle.
C. Skew lines are lines that are coplanar and can never intersect at any given point.
D. Two lines intersect at exactly one point and they define angles at the point of
intersection.
Answer:
Step-by-step explanation:
Option C
Is the correct answer
Please mark as brainilest
Answer:
C. Skew lines are lines that are coplanar and can never intersect at any given point.is your answer
What is the area of her pasture if she decides to make two sides of 500 ft. Each and uses the angle you found in part (a)?
Answer:
(a) The angle between them is 90 degrees
(b) The area is 125000ft^2
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Angle that gives the maximum area.
The area of a triangle is:
[tex]Area = \frac{1}{2}abSinC[/tex]
Where C is the angle between a and b.
The maximum area of a triangle is:
[tex]Max\ Area = \frac{1}{2}ab[/tex]
Equate both areas to find C
[tex]\frac{1}{2}ab\ sinC = \frac{1}{2}ab[/tex]
Divide both sides by [tex]\frac{1}{2}ab[/tex]
[tex]sinC = 1[/tex]
Take arc sin of both sides
[tex]C = sin^{-1}(1)[/tex]
[tex]C = 90[/tex]
The angle between them is 90 degrees
Solving (b): The area when [tex]a = b =500[/tex]
The area of a triangle:
[tex]Area = \frac{1}{2}abSinC[/tex]
So:
[tex]Area = \frac{1}{2} * 500 * 500 * sin(90)[/tex]
[tex]Area = \frac{1}{2} * 500 * 500 * 1[/tex]
[tex]Area = \frac{250000}{2}[/tex]
[tex]Area = 125000[/tex]
Jay found 2/3 of a pizza in the refrigerator.He ate 3/4 of it.What fraction of the whole pizza did Jay eat?
Answer:
4/9
Step-by-step explanation:
He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.
2/3 · 2/3 = 4/9
Fourth ninths of the pizza is in the fridge.
Which equation represents a line which is parallel to the line 7x+2y=-8
Answer:
y = -7/2x +17
Step-by-step explanation:
First, lets put the original equation into slope intercept form which is y=mx+b
7x + 2y = -8
subtract 7x on both sides
2y = -7x -8
divide by 2 on both sides
y = -7/2x - 8/2
y = -7/2x - 4
now we can plus in any x and y values to get a new b, which is our y intercept.
lets use (4,3)
Also, since they are parallel, their slope (m) will be the same.
y = -7/2x + b
3 = -7/2(4) + b
3 = -14 + b
b = 17
lets plug in our new b into our original equation
y = -7/2x + 17
The value of [y] = 7 and that of [x] = 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a equation that represents a line as -
7x + 2y = - 8
We can write -
7x + 2y = - 8
2y = - 7x - 8
y = (-7/2)x - 4
Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8
Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8
To solve more questions on straight lines, visit the link below-
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Passes through the points (-2, 1) and (2, 3)
Answer:
slope 1/2
Step-by-step explanation:
6. The domain of the function (x) = 13x - X
is given as {-2. -1, 0, 1, 2). What is the
range? Show your work.
Answer:
i have the same question
Step-by-step explanation:
i have the same question
Mr. Bumpkin was
planting vegetables in his
garden. His garden was 4
leet long and 2 feet wide.
What is the area of his
garden
Answer:
8 feet²
Step-by-step explanation:
A = lw
A = 4(2) = 8 ft squared
Answer: 8 feet squared
Step-by-step explanation:
area=lw
area=4x2
area=8
PLEASE!!! ASAP!!! WILL GIVE BRANLIEST!!! SHOW & EXPLAIN!!
I'm not smart & studying for my ACT's..
The text message component of each of Juan's monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan's most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?
Answer:
365 messages
Step-by-step explanation:
x = # text messages)
16.5 = 10 + .10(x - 300)
6.5 = .10x - 30
36.5 = .10x
x = 365
Answer:
365
300+65=365 text messages in total
365 text messages=$16.50
Step-by-step explanation:
6.50/0.10=65
Have a nice day!!
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
Please help ASAP
I will give brainliest if you answer right
Answer:
J) 15
Step-by-step explanation:
Difference means subtraction:
10 - (-5)
10 + 5
15
Seven friends go out for dinner and the bill for food and drink comes to £140 the friends decide to add a 5% tip on top of this total if they divide the expense equally between them how much does each friend pay
Answer:
21 pounds
Step-by-step explanation:
bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.
Amount per friend = 147/7 = 21 pounds per friend.
Answer:
21
Step-by-step explanation:
This is just a confirmation answer
SHOW YOUR WORK
5.9 ÷ 0.54 =?
Answer:
10.93
Step-by-step explanation:
5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93
The probability of an event is 0.28. Describe the likely hood of the event
Answer:
Step-by-step explanation
Remark
The likelihood of an event happening is 28 times out of a hundred.
The chances of it not happening is 72 chances out of a hundred.
Answer:
Unlikely!
Step-by-step explanation:
solve the equation for x. square root of x+9=11
Answer:
The answer is 2 i promise
Solve the equation below for x.
13(x – 15) = 95