Answer: 2077
There are 31 terms.
S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077
The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?
Answer:
P=26
Step-by-step explanation:
Answer:
Step-by-step explanation:
Begin with the fact that the area of a rectangle is A = L * W. We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.
42 = 7 * W so
w = 6 mm.
The perimeter formula is P = 2L + 2W, and now we know L and W. So
P = 2(7) + 2(6)
P = 14 + 12
P = 26
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
Help me please thanks must be accurate
Answer:
Answer B (The cost of fabric compared to its length)
Step-by-step explanation:
The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.
The other options are much more randomly varying.
a kennel has40 dogs in total , some are puppies and some are adults dogs . the ratio of puppies to adult dogs is 1:4 how many puppies are there
Answer:
8 puppies
Step-by-step explanation:
Total = 40
Ratio = 1:4
Total Parts = 4+1 = 5
Divide this from the total
=> 40/5 = 8
Now, Multiply the result with the ratios:
=> 4 * 8 = 32
=> 1 * 8 = 8
Answer: total number of puppies:40
Ratio of puppies to adults;1:4
1x+4x=40… 1x puppies
4x adult dogs
5x=40:x=40/5=8
No. Of puppies=1*8(x=8)
No.of adult dogs=4*8:32
5x^3 − 2x^2 + 3x − 8 - (2x^2 + 4)
Answer:
5x^3 - 2x² +3x -8 -(2x²+4)5x^3 - 2x² + 3x - 8 -2x²-45x^3 - 4x²+3x-12What is the highest common factor (HCF) of 9 and 15?
Answer:
3
Step-by-step explanation:
9's factor is 1, 3, 9.
and 15's factor is 1, 3, 5, 15.
so, the answer is 3.
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Answer:
true
Step-by-step explanation:
because CD divided AB into equal halves, so they are of course perpendicular.
Answer:
Step-by-step explanation:
This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]
Therefore, The area of the portion that will not be farmed
[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]
The correct option is C.
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
The two lines graphed below are not parallel.How many solutions are there to system of equations
we need the graph/ lines,
but just remember
wherever 2 lines intersect, that is a solution
if they are paralell, no solutions
if they cross, 1 solution
if they are the same line/ the lines are on top of each other exactly, infinite solutions
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
Find the solutions to the equation below.
6x^2+ 5x - 4 = 0
A. x= - 4/3
B. X = -2
C. X= 4
D. x= - 1/3
E. x= 1/3
F. x = 1/3
Answer:
F x=1/2
Step-by-step explanation:
An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12
Answer:
D. 2 7/12
Step-by-step explanation:
8 1/4 - 5 2/3
Turn to improper fractions.
33/4 - 17/3
Make the denominators equal.
99/12 - 68/12
Subtract the fractions since denominators are equal.
31/12
= 2 7/12
Answer:
[tex] 2 \frac{7}{12} [/tex]
Answer D is correct.
Step-by-step explanation:
[tex]8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} [/tex]
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
solve for x. 5x=15+5
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer:
x=4
Step-by-step explanation:
5x=15+5 add
5x=20 divide
x=4 simplify
How do you do this? Bearings. Please help
Answer:
Hi !
You need to use the "cosine rule" :
d² = 24² + 32² - (2 x 24 x 32)cos125°
So == > d² = 1600 - 1536cos125°
Then ==> d² = 2481.013406
Conclusion == > d = 49.8 nautical miles
The distance between the ships after 2 hours is 49.8 nautical miles
; )
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]
David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P, right parenthesis, depends on the time the bike was out, (t)(t)left parenthesis, t, right parenthesis. The price consists of a base charge of \$8$8dollar sign, 8 and a variable hourly cost. The graph of the function is shown below.
Complete the following sentences below based on the graph of the function.
The hourly charge is \$$dollar sign
per hour for the first 333 hours.
The rate then drops to \$$dollar sign
per hour until the end of the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript hour.
The hourly rate drops further to \$$dollar sign
per hour between the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript and 10^{\textrm{th}}10
th
10, start superscript, start text, t, h, end text, end superscript hours.
The maximum price of the bike rental is \$$dollar sign
.
Answer:
The hourly charge is $4 per hour for the first 3 hours.
The rate then drops to $2 per hour until the end of the 6th hour.
The hourly rate drops further to $1 per hour between the 6th and 10th hours.
The maximum price of the bike rental is $30.
Step-by-step explanation:
The slope of the graph corresponds to the hourly rate for the bike rental.
During the first three hours of the bike rental, the price increases by $4 each hour.
Between the 3rd and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.
Between the 6th and 10th hours, the rate is $1 per hour.
After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.
Please answer this question now fast in two minutes there can be more than one answer
Answer:
QT and ST
RS and SW
Step-by-step explanation:
There are 2 of the answer choice that are correct. QT and ST, RS and SW.
Those lines do intersect each other at a corner of the cube.
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
Solve the inequality. y – 5 ≥ 11
Answer: y≥16
Step-by-step explanation:
[tex]y-5\geq 11\\\\Add(5)\\\\y\geq 16[/tex]
Hope it helps <3
Answer:
[tex]\boxed{y \geq 16}[/tex]
Step-by-step explanation:
=> y - 5 ≥ 11
Adding 5 to both sides
=> y - 5 + 5 ≥ 11 + 5
=> y ≥ 16
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
Find the product of 2x and 3.
Answer:
6x
Step-by-step explanation:
Product is multiplication.
2x × 3
Multiply.
2 × x × 3
= 6x
Find the values of a and b such that x^2-x+5=(x-a)^2+b
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate x's
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
What are the solutions to the equation x minus StartFraction 7 Over x EndFraction = 6
The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have equation:
[tex]\rm x-\dfrac{7}{x}=6[/tex]
After simplifying:
[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]
[tex]\rm x^2 +x-7x-7=0[/tex]
(x + 1)(x - 7) = 0
x = -1 or x = 7
Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ2
Answer:
C) x= -1 and x=7
Step-by-step explanation: