Answers
Answer:
[tex]4 \sqrt{2}[/tex]
Step-by-step explanation:
Rewrite 32 as the product of 16 and 2:
[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]
Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]
Rewrite 16 as 4²:
[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]
Apply exponent rule [tex]\sqrt{a^2}=a[/tex]
[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]
Answer:
4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{32}[/tex]
= [tex]\sqrt{16(2)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]
= 4[tex]\sqrt{2}[/tex]
Related Questions
a. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool?
Answers
Answer:
64 ft³
Step-by-step explanation:
given that l = 4 ft
Since a swimming pool is like a cube
:- V= l³
V = 4³
V = 64 ft³
Interest is compounded semianually. Find the amount in the account after the given time.
Answers
Answer:
$1,159.69
Step-by-step explanation:
Compound Interest Formula :
A = P (1 + r/n)^(nt)A = amount P = principalr = rate (in decimals)n = number of times compoundedt = number of yearsSolving :
A = (1,000)(1 + 0.05/2)²⁽³⁾A = (1,000)(1.025)⁶A = (1,000)(1.15969342)A = $1,159.693 x 5/6 = ? x 1/6
those are fractions btw and what number makes the equation true?
PLEASE NO LINKS
Answers
Answer:
15
Step-by-step explanation:
[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]
Sin(15) × cos(15) × cos(30)
Answers
Answer:
0.2165 to the nearest ten thousandth.
Step-by-step explanation:
Sin(15) × cos(15) × cos(30)
= 0.258819 * 0.965926 * 0.866025
= 0.216506
Find the remainder when f(x) = 5x² + 4x² - 2x + 4 is divided by x + 1.
Answers
Answer:
I hope this helps you........
The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence
Answers
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answers
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned
Ms. Wimbley surveyed the middle school and found out that 70 students want to go to sky zone for the end of the year field trip. This represents 14% of the middle school. How many students are in the middle school?
Answers
Answer:
500
Step-by-step explanation:
If 700 is 14%, then x=100%
We do:
700=14%
x=100%
Then, we cross multiply to get
14x=7000
We divide 14 on each side, and get x=7000/14 which is x=500
So there are 500 total students in the middle school
Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D
find the missing length
Answers
Answer:
Step-by-step explanation:
15^2 - 12^2 = a^2
225 - 144 = 81
a^2 = 81
a=9
What is the measure of each angle of a regular 13-gon if necessary round to the nearest tenth
Answers
[tex]\textit{sum of all interior angles in a regular polygon}\\\\ \theta n=180(n-2) ~~ \begin{cases} \theta =\stackrel{degrees}{angle}\\ n=\stackrel{side's}{number}\\[-0.5em] \hrulefill\\ n=13 \end{cases}\implies \theta (13)=180(13-2) \\\\\\ 13\theta =180(11)\implies 13\theta =1980\implies \theta =\cfrac{1980}{13}\implies \theta \approx 152.3^o[/tex]
what is 300 in scintifiyc notation?
Answers
300 written in scientific notation is 3 × 102.
hope this was helpful.
Step-by-step explanation:
solve the equation by completing the square. x²+6x-4=0
Answers
Answer:
x = √13 - 3
x = -√13 - 3
Step-by-step explanation:
Given :
x² + 6x - 4 = 0Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3Solutions :
x = √13 - 3x = -√13 - 3Find the Surface Area:
A) 200 in^2
B) 300 in^2
C) 500 in^2
D) 400 in^2
Answers
Answer: B
Step-by-step explanation:
I NEED HELP!!!!
[tex]3(7+7i)+i(7+7i)[/tex]
Thanks!:)
Answers
Solve the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer [/tex]
Open the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer[/tex]
Which expressions are equivalent to the given expression?
√80
80²
☐ 4√10
160²
8√5
4√5
Answers
Answer:
4 root 5
Step-by-step explanation:
√80 = √ 16 X √5
√16 = 4
so 4√5
What is the volume (in cubic units) of a cylinder with a radius of 5 units and a height of 8 units? Assume that π = 3.14 and round your answer to the nearest tenth when necessary.
Answers
Answer:
V = hpir^2 = 12(3.14)(3)^2 = 108(3.14) = 339.1
Step-by-step explanation:
What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f
Answers
Answer:
[tex]-53+22i[/tex]
Step-by-step explanation:
You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:
[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]
Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w c D 85
Answers
Answer:
Step-by-step explanation:
-0.5 = - m/6=
First answer get to be brainliest!
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
-0.5=-m/6. what is m?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, multiply both sides by 6 to get rid of the fraction:-
▪︎ -0.5*6=-m/6*6
On the RHS, the 6's cancel:-
◆-0.5•6=-m
Multiply:-➪ [tex]\it{-3=-m}[/tex]
Divide by -1 on both sides:-➪ [tex]\it{3=m}[/tex]
❒So we conclude that the value of m is 3.
✥ Good luck with your studies. ✥- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
m = 3
Step-by-step explanation:
⇒ -0.5 = - m/6
Divide both sides by -1.
⇒ -0.5/-1 = -m/(6 × -1)
⇒ 0.5 = m/6
Multiply both sides by 6.
⇒ 0.5 × 6 = m/6 × 6
⇒ m = 3
Find the remainder of (h4+ h² - 2) /(h+3).
Answers
Answer:
remainder is 88
Step-by-step explanation:
if
[tex]h = 3[/tex]
[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]
[tex]f( - 3) = 88[/tex]
which is the remainder
Find the value of x in the parallelogram below.
Answers
Answer:
x = 25
y = 6
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
2x and 50 are opposite angles,
2x = 50
Divide 2 on both sides,
x = 50 / 2
x = 25
In a parallelogram opposite sides are equal.
y + 5 and 11 are opposite sides,
y + 5 = 11
y = 11 - 5
y = 6
Answer:
x=25
y=6
Step-by-step explanation:
from the diagram,
2x= 50(opposite angles of a parallelogram)
2x= 50
dividing bothsides by 2
2x/2=50/2
x= 25
then,
y+5=11(opposite sides of a parallelogram)
y= 11-5
y= 6
I need help finding the slope and what m =
Answers
Answer:
4/3
Step-by-step explanation:
slope = rise/run = (y1-y2)/(x1-x2) = 4 / 3
What is the approximate Volume of the cone below?
Answers
Answer:
B - 183 cm3
Step-by-step explanation:
volume of a cone is 1/3 x pi x r^2 x H
Answer:Your answer is going to be D
Step-by-step explanation:
1/3 x 3.14 x 10^2 x 7 =732.66
what is the value of...
4x - x + 5, when x = 3
???
Answers
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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If a slice of pizza is 2 dollars and I have 15 dollars how many pieces of pizza can I get
Answers
Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units
Answers
Answer:
Step-by-step explanation:
Which statement is true
Answers
Answer:
the answer is only 5
Step-by-step explanation:
A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve
Answers
Answer:
6 miles
Step-by-step explanation:
20.00 - 2.00 = 18
18/3 = 6
she can travel 6 miles
What is 8,-6 over the x-axis 90 degrees
Answers
Answer:
(6,8)
Step-by-step explanation:
The rule for 90 degree rotation is (x,y)=(-y,x)
So the answer is (6,8)
if u answered on the same 1 move on
help me i dont get this
Answers
The two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
How to make a two-way table from the frequency table?The table is given as:
Aerobic Anaerobic
Male 88 104
Female 96 62
The column total are:
Aerobic = 88 + 96 = 184
Anaerobic = 104+ 62 = 166
So, we have:
Aerobic Anaerobic
Male 88/184 = 0.48 104/166 = 0.63
Female 96/184 = 0.52 62/166 = 0.37
The total count of the table is
Total = 184 + 166 = 350
So, we have:
Aerobic Anaerobic Total
Male 0.48 0.63 (88 + 104)/350 = 0.55
Female 0.52 0.37 (96 + 62)/350 = 0.45
Hence, the two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:
Aerobic Anaerobic Total
Male 47.8% 62.7% 54.9%
Female 52.2% 37.3% 45.1%
100% 100% 100%
What are the relative and marginal frequencies given?The frequencies for males are:
Aerobic = 88 / (88 + 96) Anaerobic = 104 / (104 + 62)
= 47.8% = 62.7%
For females:
Aerobic = 100% - 47.8% Anaerobic = 100 - 62.7%
= 52.2% = 37.3%
Total males frequency: Total females
= (88 + 104) / (88 + 104 + 96 + 62) = 100% - 54.9%
= 54.9% = 45.1%
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