Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
What is the area of this trapezoid?
168 ft
221 ft
248 ft
261 ft
Answer:
248
Step-by-step explanation:
18-13 =5
16*5=80/2 because it is a triangle = 40
40+16*13=
40+208+
248
Answer:
248
Step-by-step explanation:
k12 :)
Which of the following is a geometric series? 40 50 60 70 40 42 44 46 40 80 40 120 40 20 10 5
The given series 40 + 20 + 10 + 5 is a geometric series.
What is the geometric series?The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.
Let us find the ratio of consecutive terms of each of the given series.
For the series 40 + 50 + 60 + 70
50/40 = 5/4
60/50 = 6/5
Since, 5/4 ≠ 6/5 hence, it is not a geometric series.
For the series 40 + 42 + 44 + 46
42/40 = 21/10
44/42 = 22/21
Since, 21/10 ≠ 22/21 hence, it is not a geometric series.
For the series 40 + 80 + 40 + 120
80/40 = 2
40/80 = 1/2
Since, 2 ≠ 1/2 hence, it is not a geometric series.
For the series 40 + 20 + 10 + 5
20/40 = 1/2
10/20 = 1/2
Since, 1/2 = 1/2 hence, it is a geometric series.
Therefore, D is the correct option.
To learn more about the geometric series visit:
https://brainly.com/question/24643676
Easy answer!! Simplify
Answer:
\frac{5}{6}\quad \left(\mathrm{Decimal :0.83333
Step-by-step explanation:
[tex]\bold{Heya!}[/tex]
[tex]\sf{\sqrt\frac{23}{36}[/tex]
[tex]\sf{Apply \: radical \: rule:} \: \sqrt{\frac{a}{b}[/tex] [tex]\sf{= \sqrt{\frac{\sqrt{a}}{b}[/tex] [tex]\sf{a \geq 0, b \leq 0[/tex]
[tex]\sf{\sqrt{\frac{23}{\sqrt{36}}[/tex]
[tex]\sf{\sqrt{36} = 6}[/tex]
[tex]\sf{= {\frac{\sqrt{23}}{6}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
After a dilation with center (0,0) the image of DB is D’B’ if DB=6 and D’B’=2 the scale factor of dilation is what ?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corrresponding sides. image to original.
scale factor = [tex]\frac{D'B'}{DB}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Answer 1 and 2 and I'll mark you brainliest
If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is
Answer:
As Per Provided Information
Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .
We have been asked to determine it's surface area.
[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]
where,
w denote width
h denote height
l denote length
[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]
Therefore,
Surface area of rectangular prism is 164 cm².Answer:
Surface area of rectangular prism is 164cm²
Step-by-step explanation:
Given :-
Dimensions of rectangular prism is 3cm , 4cm, and 10cmTo find:-
Surface area of rectangular prismSolution:-
Surface area of rectangular prism :-
2(lb + bh + hl)
putting the known values ,
Surface Area = 2(3×4+4×10+10×3) cm²
Surface area = 2(12+40+30) cm³
Surface area = 164cm²
Which of the following is equal to the expression listed below?
14 + 21
A.7 + (2 × 3)
B. (7 × 2)(7 × 3)
C. 7(2 + 3)
D. (7 + 2)(7 + 3)
Answer: C
Step-by-step explanation: The answer is C because unbending suing distributive property, the equation becomes (7 x 2) + (7 x 3). Solving for these parentheses, the equation becomes 14 + 21. I hope this helps!
How to multiply 70.94 by 3.2 and get 227.008
Answer:
solution
Step-by-step explanation:
so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 7c – 4c2 – 3c 4 –4c2 4c 6 –7c2 10c 6 –4c2 4c 8 –7c2 7c 6
The simplified and standard form of the considered polynomial is -4c^2 -4c + 6
What is standard form of a polynomial?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
The given polynomial is:
[tex]2 + 7c - 4c^2 - 3c + 4[/tex]
Simplifying it gives:
[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]
Writing it in the order of increasing to decreasing powers:
[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]
Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]
Learn more about standard form of a polynomial here:
https://brainly.com/question/15313798
Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum
speed of 21.92 miles per hour (mph).
Which of the following equations, where d is distance in miles and t is time in hours, represents a speed
that is less than that of the leatherback sea turtle?
Choose all answers that apply:
PLEASE HELP!!
Answer:
A and B
Step-by-step explanation:
See explanation below
Solve for X. Please help me!
Answer:
145°
Step-by-step explanation:
based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.
Simplify the expression.
Answer:
1/81
Step-by-step explanation:
9 to the power of 7 is 4782969
and 9 to the power of 9 it 387420489
and when u divide it u get 1/81 I beleve
Answer:
1/81 or 0.01 that is rounded to the nearest hundredth
Step-by-step explanation:
Your welcome
In a class of 90 students, the ratio of boys and girls is 4:5 Find the number of boys and girls
Step-by-step explanation:
Number of students in class = 90
ratio of boys and girls = 4:5
sum of ratios = 9
Number of boys = 4/9 × 90
= 360/9
= 40
Number of girls = 5/9 × 90
= 450/9
= 50
Hope it helpz~
Find the value of
46
83
An outside angle equals the sum of the two opposite inside angles.
x = 83 + 46 = 129
(Easy) b. When will function h exceed both function f and function g?
Answer:
Is their like any opions? or no
Step-by-step explanation:
pleaseee help meeeeeeee
WILL MARK BRAINLIEST!!!!!!
Answer:
40π m² and 125.6 m²
Step-by-step explanation:
the area (A) of the sidewalk is calculated as
A = outer area - inner area
(a)
A = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )
A = π × 11² - π × 9²
= 121π - 81π
= 40π m²
(b)
A = 40 × 3.14 = 125.6 m²
35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?
Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
How to model the quadratic equation?From the complete question, the zeros of the quadratic function are:
x = 3 and x = 8
Rewrite as:
x - 3 = 0 and x - 8 = 0
So, the quadratic equation is:
f(x) = a(x - 3)(x - 8)
Also from the graph, we have the following point
(x,y) = (4,60)
Substitute 4 for x and 60 for f(x) in the function
a(4 - 3)(4 - 8) = 60
Evaluate the difference
a(1)(-4) = 60
Evaluate the product
-4a = 60
Divide both sides by 4
a = -15
Substitute a = -15 in f(x) = a(x - 3)(x - 8)
f(x) = -15(x - 3)(x - 8)
Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
Read more about quadratic models at:
https://brainly.com/question/8649555
what is the difference between the greatest and least amounts of rain falls? Iready
Answer:
[tex]1\frac{7}{8}inches[/tex]
Step-by-step explanation:
From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference
[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]
Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]
Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.
Rotate the following figure 90 degrees clockwise about the origin (0,0)
Step-by-step explanation:
The rule for a 90-degree clockwise rotation about the origin (0,0) is:
(x,y) -----> (y,-x)
Simply apply this and you'll get your answer.
Hope this helps :)
4. What is the height of a triangular sail whose base is 4 meters and area is 20 square meters?
Answer:
pa branliest
Step-by-step explanation:
The height of a triangle is 4 inches more than twice the length of the base
Complete the statement using <, >, or =.
36% of 150 ____ 27% of 200
Answer: =
Step-by-step explanation: 54 =54
3/100 ×150=54
2/100 ×200=54
Michelle is interested in knowing how often girls in her class at school use their cell phones to instant message their friends.
Which of the following methods could Michelle use to conduct a simple random sample to answer her question?
A. Give the survey to the first fifty girls on a list of all the students in her class.
B. Post her survey on the Internet and ask only girls to respond.
C. Write the name of each girl in her class on a card and then draw 10 cards from a hat.
D. Identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom.
Answer:
it is NOT d
Step-by-step explanation:
I did it and got it wrong
NOT D
13 - (19,500 - (672 x 29)] =
Answer:
1
Step-by-step explanation:
im know it ive dine the problem 10 times
the point ( 8 , 5 ) lies on a line with a slope of 1/4 write the equation of the line
Answer:
[tex]y=\frac{1}{4} x+3[/tex]
Step-by-step explanation:
[tex]y-5=\frac{1}{4} (x-8)[/tex]
[tex]y=\frac{1}{4} x-2+5[/tex]
[tex]y=\frac{1}{4} x+3[/tex]
Hope this helps
Answer:
y = [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute (8, 5 ) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of line
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2,7, 13, 15, 19, 21.
The mean is
The median is
Answer:
the mean is 12.83333333333 ans so many more 3's
the median is 14 because the two middle numbers are 13+15=28 and divided by 2 is 14
Step-by-step explanation:
if it is right, please can i have the brainliest
. Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
not answered this question
work out 9 over 13 of 182 (9 over 13 is supposed to be a fraction)
Answer:
126
Step-by-step explanation:
In math, "of" usually means multiplication.
9/13 of 182 means 9/13 × 182.
9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126
Answer: 126
Answer:
126
Step-by-step explanation:
To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.
182 ÷ 13 = 14
14 • 9 = 126
To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.
126 ÷ 182 = 0.6923
9 ÷ 13 = 0.6923
I hope this helps.
5 0
·
5 –3
= how do i do this
Please help!!! I dont understand this
Answer:
x=120
Step-by-step explanation:
so if you look at a angle ruler you will see it's 120 so now if you look one up and put it to 120 it would match i wouldn't know how accurate it is but from what i know its 120