Answer:
A: 4(cos 48° + i sin 48°)
Step-by-step explanation:
The step by step working:
z1 = 20(cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69°)
z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)
= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)
= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]
= 4(cos 48° + i sin 48°) (Using sum and difference identities)
The answer is A: 4(cos 48° + i sin 48°)
there is 15 girls and 25 boys in a science club . what percent of the members are girls?
Answer:
Step-by-step explanation:
Total member = 25 + 15 = 40
[tex]girls percentage = \frac{15}{40}*100\\\\=\frac{15}{2}*5\\\\=\frac{75}{2}=37.5\\[/tex]
= 37.5%
Which would prove that ΔABC ~ ΔXYZ? Select two options.
Step-by-step explanation:
I think by the having all 2 of angles are equal
and corresponding sides are in same ratio
and by having all corresponding sides in same ratio
Answer:
I think it is option a, b, and c.
Step-by-step explanation:
Which situation CANNOT be represented by this equation? 6−7=29?
1) Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, , will he need to mow to have $29 left?
2) Joel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, , will he need to spend mowing the lawn to have $29 left?
3) Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, , to mow the lawn and still have $29 left?
Answer:
The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
Step-by-step explanation:
2.5 x + 10 = x minus 0.5?
Answer: x = -7
Step-by-step explanation:
2.5x+10=x-0.5
Collect like terms
2.5x-x= -0.5 -10
1.5x= -10.5
X= -10.5/1.5
X= -7
Answer: -7
Step-by-step explanation:
Complete the equation so that it has solutions of -5 and 7
2+
Answer:
x^2 -2x -35 = 0
Step-by-step explanation:
Lets's solve backwards
x = -5
Add 5 to both sides
x + 5 = 5 - 5
x + 5 = 0
and
x = 7
Subtract 7 from both sides
x - 7 = 7 - 7
x - 7 = 0
Finding the product of both linear functions
(x + 5)(x - 7) =0
x^2 -7x + 5x -35 =0
x^2 -2x -35 = 0
Dose anyone know what to do I don’t know how
Answer:
a=7b+27/2
Step-by-step explanation:
1: Add 7/3b to both sides.
2 /3 a+ −7 /3b + 7/3b = 9+ 7/3b
2/3a=7/3b+9
2: Divide both sides by 2/3.
2/3a= 7/3b + 92
/ 2/3a / 2/3a
a=7b+27/2
Find the difference. -16 – 6
Answer:
-16 - 6 would be -22
Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.
Answer asap A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 26 to 38 on the number line. A line in the box is at 31. The whiskers end at 20 and 43. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 31; Q1 = 26 Median = 30; Q1 = 26 Median = 31; Q1 = 20 Median = 30; Q1 = 20
Answer:
The Answer Is B. Median = 30; Q1 = 26
Step-by-step explanation:
Answer: Median 31 and Q1 is 26 its 100% verified
Step-by-step explanation:
which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x
Answer:
C) y = 1
General Formulas and Concepts:
Algebra I
y = b lines have a slope of 0Parallel Lines - Lines that have the same slope but different y-intercepts. They never intersect.Step-by-step explanation:
We are given the line y = 6, a horizontal line with a slope of 0.
According to the answer choices, we need to find an equation of a line that also has a slope of 0.
A, B, and D are all incorrect, as they have a different slopes than the original line (Slope of -6, undefined, and 6 respectively).
Therefore, our only option is C, which is the correct answer.
y = 1 has the same slope, a slope of 0. However, it has a different y-intercept, a y-intercept of 1 compared to the original y-intercept 6. They are parallel and will never intersect.
1. The monthly rents for studio apartments in a certain city have a mean of $920 and a standard deviation of $190. Random samples of size 25 are drawn from the population and the mean of each sample is determined.
What is the mean of the indicated sampling distribution of sample means?
2. What is the standard error of the indicated sampling distribution of sample means?
3. Which one is more likely to take place?
a. Find one studio apartment that has a rent between $901 and $939.
b .Find a sample of 25 studio apartments with a mean rent between $901 and $939.
Answer:
1)Mean=920 $
2)Standard Error =S.E.=38
3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939
Step-by-step explanation:
Given:
True mean =920 $
S.D=190 $
No .of samples=25
To Find:
1)Mean of sample.
2)S.E
Solution:
Now , the mean for given sample distribution is given as 920 $
Hence Mean =920 $
Now calculating the Standard error
S.E.= S.D./Sqrt(n)
=190/Sqrt(25)
=190/5
=38
Therefore the Standard error is about 38 .
a) When n=1 then P(901≤X≤939)
So,
Z1=(901 -920)/190/Sqrt(1)]
Z1=-0.1
Z2=(939-920)/(190/Sqrt(1)]
Z2=0.1
So
Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)
=0.5398-0.4602
=0.0797 % chance of the sample distribution
b)n=25 then P(901≤X≤939)
Z1=(901-920)/S.E
Z1=-19/38=
Z1=-0.5
And Z2=0.5
So,
Pr(-0.5≤Z≤0.5)
=Pr(Z≤0.5)-Pr(Z≤-0.5)
=0.6915-0.3085
=0.3829
i.e 38.29 % chance of the sample distribution
Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.
0.3829>0.0797.
Because the probability of causing above event is more than the option A.
Can anyone help me i was not a school and I need help
so the right answer is of option A.
Hope this will help u...
Answer:
A. 12375
Step-by-step explanation:
Simple Interest Formula:
[tex]A = P(1+rt)\\[/tex]
A = 37375 in this case. This is the amount of money you'll have after 9 years. However, the question asks for how much interest you'll gain, meaning you have to subtract the principle from it. 37375 - 25000 = 12375
Explain how you write “three and nine hundredths” as a decimal.
Answer:
3.09
Step-by-step explanation:
three and 9 hundredths
and meaning a decimal
hundredths is the second place after the decimal
3.09
Three and nine hundredths as a decimal form is equals to 3.09.
What is decimal form?" Decimal form is representation of number as a combination of whole number and it fractional part."
According to the question,
Hundredths is the second digit to the right of the decimal.
Three and nine hundredths = 3.09
Hence, three and nine hundredths as a decimal form is equals to 3.09.
Learn more about decimals here
https://brainly.com/question/16361602
#SPJ2
Michelle earns $5 for each lawn she mows. Last week she earned $30 mowing lawns. This week she earned $20 mowing lawns. Which statement correctly explains how many more lawns Michelle mowed last week than this week? A) Michelle mowed 2 more lawns because 30 ÷ 5 is 2 more than 20 ÷ 5. B) Michelle mowed 10 more lawns because 30 + 5 is 5 more than 20 + 5. C) Michelle mowed 10 more lawns because 30 – 5 is 10 more than 20 – 5. D) Michelle mowed 50 more lawns because 30 × 5 is 50 more than 20 × 5.
Answer: A
Step-by-step explanation:
Answer:
A is correct because it is the only one to make sense
Combine like terms to simplify the expression 3X + 5 - X + 1
Fiona is making a box to hold firewood cut to 20-inch lengths. The box has to be 2 feet wide to accommodate the length of the wood pieces. Fiona wants the length to be 7 feet longer than the height. The graph models the possible volume (y) of Fiona’s box determined by its length (x). Which value of x makes sense for the length of Fiona’s box? x < 7 x > 0 x > 3.5 x > 7
Answer:
c
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
in circle F, points A,B,C,D, and E are located on the circle such that measure of C=119°, and BE is perpendicular AD. determine the measure of arc AE. show how you arrived at your answer.
Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°
What is the area of this composite figure?
12.56 in. sq
10.28 in. sq
7.14 in. sq
16.56 in. sq
Answer:
7.14 in. sq
Step-by-step explanation:
First find the area of the square; 2x2=4
Now find the area of the semi-circle; radius = 1.
1 squared= 1 Now multiply by 3.14 which equals 3.14
Now divide by 2 because it's a semi-circle, you get 1.57.
Multiply 1.57 by 2 because you have 2 semi-circles, the would equal 3.14
Add 4+3.14 and you get 7.14
The area of the composite figure is 7.14 in. sq
Answer:
Step-by-step explanation:
Solve the following problem:
-3 + 7 -5 + (-10)
how do i get the answer to solve it
Answer:
-11
Step-by-step explanation:
-3+7-5+(-10)=
7-3-5-10=
7-18=
-11
Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length?
It is exactly correct.
It is under by approximately 0.6 units.
It is over by approximately 0.6 units.
It is over by 13 units.
Answer:it is under by approximately 0.6 units
Step-by-step explanation:
Answer:
its B. (it is under by approximately 0.6 units.)
Step-by-step explanation:
I got it right on 2020 Edu.
Answer of this time table
Answer:
1st box= 5
2nd box= 3
3rd box= 8
4th box=5
Answer:
Step-by-step explanation:
1st box= 5
2nd box= 3
3rd box= 8
4th box=5
What is the area of the following circle? Either enter an exact answer in terms of pie or use 3.14 for pie and enter your answer a decimal
The area of a circle with a radius of 1.2 meters is 4.5 m², rounded to two significant figures to match the precision of the given radius.
Explanation:The area of a circle is given by the formula A = πr², where π (pi) represents a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a radius of 1.2 meters, we get the precise calculation as A = π(1.2 m)² = 4.5238934 m². However, as the radius is given with only two significant figures, the area should also be rounded to two significant figures, resulting in A=4.5 m².
What is the converse of the following conditional statement? If x = 12, then 2x – 5 = 19.
Answer:
If 2x - 5 = 19, then x = 12
Step-by-step explanation:
A transformation is applied to a figure to create a new
figure. Which transformation does not preserve congruence?
O A reflection across the x-axis
O A translation 7 units down
O A dilation by a scale factor of 5
O A rotation of 90° clockwise
The only transformation that does not preserve congruence is a translation 7 units down
Transformation of figureTransformation is the process of changing the position of an object on an xy-plane.
A reflection preserve the congruence since it only create a mirror image of the figure.
Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down
Learn more on transformation here: https://brainly.com/question/4289712
#SPJ1
There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough aluminum for a trophy that has a base edge of 10 cm and a slant height of 13 cm.
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.
Step-by-step explanation:
The given is,
Volume of aluminium available is 1000 cubic centimeters
Shape of trophy is right square pyramid
Trophy has a base edge of 10 cm and slant height of 13 cm
Step:1
Formula for volume of right square pyramid,
[tex]Volume, V = a^{2}\frac{h}{3}[/tex].....................................(1)
Where, a - Base edge value
h - Height of pyramid
From given,
a = 10 cm
h = 13 cm
Equation (1) becomes,
[tex]= 10^{2}(\frac{13}{3} )[/tex]
[tex]= (100)(4.333)[/tex]
[tex]= 433.33 cm^{3}[/tex]
Volume of trophy = 433.33 cubic centimeters
Compare with the volume of available aluminium and volume of right square pyramid,
[tex]Volume of available aluminium > Volume of right square pyramid[/tex]
[tex]1000 cm^{3} > 433.33 cm^{3}[/tex]
So, the given volume of aluminium is enough to make right square pyramid shaped trophy.
Result:
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.
Answer:
Yes, the volume of the trophy is 400 cm3
1. A recursive formula for the sequence 40, 30, 22.5, ... is *
The sequence is an illustration of a geometric sequence
The recursive formula of the sequence is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
The sequence is given as: 40, 30, 22.5.....
So, we have:
[tex]\mathbf{a_1 = 40}[/tex]
[tex]\mathbf{a_2 = 30}[/tex]
[tex]\mathbf{a_3 = 22.5}[/tex]
Rewrite as:
[tex]\mathbf{a_1 = 40}[/tex]
[tex]\mathbf{a_2 = 40 \times 0.75}[/tex]
[tex]\mathbf{a_3 = 40 \times 0.75^2}[/tex]
Express 2 as 3 - 1
[tex]\mathbf{a_3 = 40 \times 0.75^{3-1}}[/tex]
Substitute n for 3
[tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
Hence, the recursive formula is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
Read more about recursive formula at:
https://brainly.com/question/11679190
Can anyone help this is due TODAY!!
Answer:
$1.67
Step-by-step explanation:
Let x be the no. of gums
96.6 + 0.79x》100
0.79x 》 3.4
x》4.3037974684
So x = 5
15% discount: she pays 0.85(96.6)
= 82.11
20% discount (after gums)
She pays 0.8[96.6 + 5(0.79)]
= 0.8(100.55)
= 80.44
Less:
82.11 - 80.44
= 1.67
Percy and Caren are having a debate. Percy contends that the headquarters of the United States Department of Defense (also known as the Pentagon) has a longer perimeter than the United States Capitol. Caren contends the opposite. To settle their debate, they find satellite images of both buildings online and juxtapose them on a single coordinate grid (shown below). Assume the Pentagon is a regular pentagon with side length 300. The perimeter of the Pentagon is
Answer:
1500 units.
Step-by-step explanation:
-A pentagon is a a regular pentagon with 5 equal sides.
-Since the side length's are equal, the perimeter is simply the product of one side length by the number of sides of the polygon.
-Given its sides measures 300 each, its perimeter can be calculated as:
[tex]P=5s\\\\=5\times 300\\\\=1500 \ units[/tex]
Hence, the Pentagon's permimeter is 1500 units.
Answer:
The perimeter of the Pentagon is 1500
The perimeter of the Capitol is 1131
Percy would win the debate
Step-by-step explanation:
What common side do AGDE and AHED share?
Answer:
The common side shared is ED.
Step-by-step explanation:
Answer:
The common side shared is ED , it is their common base
Which shows a correct way to determine the volume of the right rectangular prism?
A 9 + 1 + 8 = 18 Centimeters cubed
B 2(9 + 1 + 8) = 36 Centimeters cubed
C 9(3) + 1 = 28 Centimeters cubed
D 9(8)(1) = 72 Centimeters cubed
Answer:
Option D.
Step-by-step explanation:
From the given figure it is clear that,
Length = 9 cm
Breadth = 8 cm
Height = 1 cm
We know that the volume of a cuboid is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=9\times 8\times 1[/tex]
[tex]V=72[/tex]
So, the volume of give cuboid is 72 centimetre cubed.
Therefore, the correct option is D.
Answer:
d
Step-by-step explanation:
Which expression is equivalent to -3 -3x-1 + x?
2x-4
-2x +4
-2x-42
4- 2x
Answer:
the answer is -2x-4
Step-by-step explanation
Answer:
the answer is -2x-4
Step-by-step explanation: