Answer:
C. 345Step-by-step explanation:
first you multiply 25 and 3. and get 75next multiply 12 and 35. and get 420
finally subtract the two and get 345
DeMoivre’s Theorem
[6( cos 70° + i sin 70°)]³
[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]
Help !!!
Geometry and the circle
Answer:
Look at the explanation.
Step-by-step explanation:
To begin with, the center of a circle is obviously the point in the middle of the circle and it has the same distance where ever you distance the center point from a point on the edges. Hope this makes sense so far. The diameter is from one point of the circle to another point of the circle and the diameter is in the middle meaning if you folded the circle upon the diameter it should be half and half. Radii are half of the diameter. Chords of a circle are "the line segment joining any two points on the circumference of the circle".
So now:
Center is Point F, Radii could be segments FU or Segment KF, Diameter is KU, Chords of the circle could be Segment, VL, GL, or DX. I hope this is correct and hope it helps....
Answer:
Step-by-step explanation:
Center
Which point is the center is just a guess. You are intended to say F.
Radii
KF FUA radius is a line that goes from the center of a circle to the circumference.
Chord
A chord is a line segment that joins two points on the circumference. Believe it or not, the diameter of a circle is a chord.
KUDKVLGLDiameter
KU
Solve for D: 70D + 6 - 9D= 35 + 4D - 2.
70d+6-9d=35+4d-2
70d-9d-4d= 35-2-6
57d= 27
d= 27÷57
Find the distance between the pair of points.
(2, 0) and (-1, 1)
Step-by-step explanation:
given points (2,0) and (-1,1)
let A(2,0) and B(-1,1)
A(2,0) B( -1,1 )
(x1 , y1) (x2 , y2)
AB = √(x2 - x1)² + (y2 - y1)²
= √(-1 - 2)² + ( 1 - 0 )²
= √(-3)²+ 1²
= √9 + 1
= √10
Therefore,distance between given points is √10
Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole. She rounded 2.4 to
then she multiplied it by 12. Her estimation was
. Next, she multiplied 12 x 2.4 =
Answer: estimation=24
Step-by-step explanation:
2.4 is rounded down to 2
so she would do 2×12=24
Write the equation of the graph shown below in factored form?
Answer:
f(x) = (x − 1)2(x + 1)(x − 3)
Step-by-step explanation:
Look at where the red line crosses/ touches the x-axis. This will give you the zeros.
It crosses at -1, touches at 1, and crosses again at 3
This means the zeros are -1, 1 and 3
Now, you need to have (x+1) (x-3) and (x-1) as factors.
Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).
x 10xy) + 16x
19 +11z +2 (-2-z)
Answer:
Don't understand retype your question
How do I find an angle degree in a right triangle using cos, sin or tan? I have the opposite length and the adjacent. 2 for opp, 7 for adj. I did tan (B) = 2/7 but then I am stuck
Answer:
15.945°
Step-by-step explanation:
tan A = opp/adj
You are correct to use the tangent function.
You are also correct in writing
tan (B) = 2/7
You are not finding the tangent of a degree angle measure.
You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.
For that, you need to do the inverse tangent.
If you have a calculator, divide 2 by 7.
Then press the second function key followed by the tangent key.
The tangent key has "tan".
The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].
In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.
[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]
5x is greater or more than -20
Answer:
Step-by-step explanation:
5x is greater than -20 because if you look at the worst possible solution which is 5(0) it's still larger than -20 because of the number line 0 is greater than -20 so yes 5x is greater than -20
2. Use the figure to find angle measures. In the figure, m ll n and x ll y.
A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.
Answer:
See below ~
Step-by-step explanation:
A.
m∠5 = m∠10 (alternate angles)m∠10 = 69°B.
∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°C.
∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°#1
m<5 and m<10 are alternative and equal
m<10=69#2
They are supplementary
114+m<14=180m<14=180-114=66#3
Alternate angles are equal
m<12=86if 2⁴x ÷2x =64 find the value if x
with steps pls
Answer:
[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]
Answer: no solution or x ∈ Ø
Step-by-step explanation:
(2⁴ × x) ÷ 2x = 64
16x ÷ 2x = 64
[tex]\frac{16x}{2x} = 64[/tex]
8 = 64
8 = 64, x [tex]\neq[/tex] 0
8 = [tex]8^{2}[/tex]
2 = ㏒₈ 8
2 = 1
What is the volume of this box? Cardboard box A. 15 cm3 B. 96 cm3 C. 120 cm3 D. 148 cm3
a natural number when divided by 12 15 18
Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
What is the length of a side of an equilateral triangle inscribed in a circle with a radius of 10 cm?
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x² + 10 a
y = 4x -10? Select two options.
Oy=x² + 5x + 10
Oy + 5x = x² + 10 + 4x - 10
00=x²-9x
00=x²-9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x² - 9x + 20
4 is a solution for the system.
Step-by-step explanation:
y + 5x = x² + 10
y = 4x -10
Replacing the value of y in the first equation. This method is called sustitution.
(4x -10) + 5x = x² + 10
4x - 10 + 5x = x² + 10
4x + 5x - 10 = x² + 10 organizing.
9x - 10 = x² + 10 sum of similar terms.
0 = x² + 10 -9x + 10 organizing.
0 = x² - 9x + 10 + 10 organizing.
0 = x² - 9x + 20 sum of similar terms.
What happens if replace 4 in the equation.
0 = 4² - 9(4) + 20
0 = 16 - 36 + 20
0 = -20 + 20
0 = 0 I find that 4 is a solution for the system.
On the class field trip there will be 150 students
and 10 chaperones What is the unit rate of students
per chaperone?
Answer:
The answer is 1:15
That means for every 1 chaperone, there is 15 students
If you spin the spinner below, what is the
probability that you will land on a 2 ?
Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
Answer:
He walked 1/16 of an entire mile in 1 minute
Step-by-step explanation:
Use proportional thinking to answer the question. Explain how you got an answer without using pencil and paper or a calculator.
If 10% of a number is 4.3, what is
20% of the number?
Answer:
8.6
Step-by-step explanation:
If we know 10% of a number is 4.3, we can easily find 20% of the number as well.
We know 20% is 2 times 10%.
Therefore,
2 x 4.38.6The graph of y+21 > 6 is
Answer:
Image attached below.
Step-by-step explanation:
Hello!
First let's isolate y:
y + 21 > 6y > -15This means that we are looking at all the values on the coordinate plane that are above the line y = -15.
The red shaded region is the solution region. Note that -15 is not a solution of y > -15 (the dotted line indicates that).
How do the values compare? Order the values from least to greatest.
|1 1/4|
|-1 3/4|
3/4
-2 1/4
-1 1/4
|-2 1/4|
Answer:
see below
Step-by-step explanation:
For absolute values | x | just drop the sign of the number and make it positive
example : | -3| = 3
so for this Q
-2 1/4 - 1 1/4 3/4 1 1/4 1 3/4 2 1/4
Suppose that a gated community consisting of 40 houses requires:
500 liters of water everyday for common utilities of the community, and
a certain amount of water everyday per house.
Assuming that the water tanker supplies no more than 4500 liters of water per day to this community, what is the maximum amount of water that can be used by each house on a daily basis?
liters
The maximum amount of water that can be used by each house on a daily basis is 100 liters.
How to calculate the amount of water?From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.
The maximum amount of water that can be used by each house on a daily basis will be:
4500 = 40x + 500
40x = 4500 - 500
40x = 4000
x = 4000/40
x = 100
Learn more about calculation on:
https://brainly.com/question/26046491
#SPJ1
8. Wilson cut open a packing box that
was shaped like a rectangular prism
to see the net. What shapes did
Wilson see?
A 1 triangle and 2 rectangles
B 1 square and 3 rectangles
c 6 rectangles only
D 6 triangles one
all sides of a rectangular prism would be rectangles.
Answer: c. 6 rectangles only
I need a bit of help with this question so please if you could answer:
To the nearest hundredth, what is the value of x?
Use a trigonometric ratio to compute a distance
59.72
56.35
35.94
27.08
Check the picture below.
Make sure your calculator is in Degree mode.
Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?
4 and one-fourth less-than 2 k
4 and one-fourth less-than-or-equal-to 2 k
4 and one-fourth greater-than 2 k
4 and one-fourth greater-than-or-equal-to 2 k
Answer:
4 and one-fourth less-than or equal-to 2k
Step-by-step explanation:
4 and one-fourth is no more than 2k
i.e,4 and one-fourth can be equal or less than 2k
pls mark brainliest:)
Natalie invested $40,000 in an account paying an interest rate of 8 % compounded
continuously. Mackenzie invested $40,000 in an account paying an interest rate of
9 % compounded daily. After 20 years, how much more money would Mackenzie
have in her account than Natalie, to the nearest dollar?
%
Answer:
8000
Step-by-step explanation:
Natalie
Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%
4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x
To get 8% and we get 3200 and multiply by 20 representing the yrs
3200 x 20 = 64k + 40+ = 104k
Mackenzie
40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest
400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k
112k - 104k = 8k
help will mark Brainliest
Answer:
10
explanation:
3.2 × 10^7
write in expanded form
Answer:
32000000
Step-by-step explanation:
3.2 x 10 = 32
you will have 10^6 left
32 x 10^6 = 32000000
just add 6 zeroes
Answer:
32, 000, 000.
Step-by-step explanation:
3.2 x 10^7 <======= move the decimal 7 places to the right
32,000,000.
in a group of 60 workers they get paid an average of 80$ a day per person.
if some earn $75 a day and the rest earn $100 a day, how many earn $75 a day
Answer:
48 workers earn $75 a day.
Step-by-step explanation:
Let x people earn 75 a day then 60-x earn 100 dollars a day.
Average is $80 a day so total paid out to the 60 workers
= 60*80 = $4800.
So 75x + 100(60-x) = 4800
75x + 6000 - 100x = 4800
6000 - 4800 = 100x - 75x
1200 = 25x
x = 48.
Look at the diagram. Which angle is supplementary to
Angle AOD
Angle AOB
Angle BOA
Angle AOE
Answer:
A supplementary angle plus another angle = 180 degrees
Angle AOB is the supplementary angle
A straight line = 180 degrees so,
So angle AOD + angle AOB = 180 degrees
Angle AOB is the supplementary angle.
Step-by-step explanation:
