Answer:
125
Please mark brainliest!
Step-by-step explanation:
To get this answer, we multiply 25 by 5, because 5 = 150 divided by 30.
25 x 5 = 125, so the answer is 125.
(2 – 3i) and (4 + 3i)
The product of the two complex numbers above is a - 6i, where a is a constant. What is the value of a ?
(Note: i = -1)
Expanding the product gives
(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i
so a = 17.
What is the mean of 10 13 11 10 5 9
Answer:
9.66667
Step-by-step explanation:
The average of all the data in a set.
Answer: [tex]9\frac{2}{3}[/tex]
Step-by-step explanation:
To find the mean we must add all of the numbers together and then divide them by the amount of numbers in the set
This set has 6 numbers
I will solve the addition step by step instead of all at once to make it easier to understand
[tex]\frac{10+13+11+10+5+9}{6} \\\\\frac{23+21+14}{6} \\\\\frac{44+14}{6} \\\\\frac{58}{6} \\\\9\frac{2}{3}[/tex]
Ketki and Kunal are playing a game where they are making triangles in different scenarios.
In which of the following situation the triangles made by them would be congruent?
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60º
( ii ) Both making an equilateral triangle ARE.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
( iv ) Both making triangle DIP with all angles equal.
The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
For two triangles being congruent, we need at least:
Either, 3 corresponding side pairs are congruent. (SSS congruency), Or, any 2 corresponding sides and angle between them are congruent. (SAS congruency).Or, any 1 side of same measurement as its corresponding side in other triangle with two angles on its endpoints of same measurement as per their corresponding angles in the other triangle. (ASA congruency).Checking all the options:
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60ºOnly one side and one angle are not enough.
( ii ) Both making an equilateral triangle ARE.Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cmTwo sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:
Angle T is right angled, so we now know that RY is going to be hypotenuse.
Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.
Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.
( iv ) Both making triangle DIP with all angles equal.All angles(corresponding) being equal implies similarity, but not congruence.
Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ1
How many eights are there in 41/4?
Answer:
If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0
Step-by-step explanation:
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
d) You have a difference of squares:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
#1
49y²-9(7y)²-3²(7y-3)(7y+3)#2
3x²-3x-903(x²-x-30)3(x-6)(x+5)#3
x²-13x+42x²-7x-6x+42(x-7)(x-6)Henry opened his account with a starting amount of $920, and he is going to take out $60 per month. Write an expression for the amount of money in Henry’s account after x months.
$920 - $60x
Step-by-step explanation:
after one month, he try would have taken out 60 x 1 dollars, after two months, 60 x 2, 3 months, 60 x 3, etc. so after x months he would have taken out 60x (60 times x) dollars. if he starts with 920 dollars, he would be left with $920 - $60x.
<3
The cost of tuition at a community college is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid, and he will save money for one year to pay for the rest of his first year of college. What is the minimum amount he needs to save each month? Question 9 options: $375 $450 $750 $600
The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.
What is the mininum monthly saving?The first step is to determine the total amount he needs to save.
Amount he needs to save = $12,000 - $7500 = $4,500
The second step is to divide $4500 by 12.
4500 / 12 = $375
To learn more about division, please check: https://brainly.com/question/13281206
The graph of part of the liner function G is shown on the grid which and inequality best represents the domain of the part shown
PLEASE ANSWER ASAP I WILL MARK BRAINIST I WILL GIVE OUR FREE MORE POINT PLEASE AND THANK!!!YOU
Note that
For a pair (x,y)
x is domain y is rangeHere x goes from
-9 to 2Hence domain
-9<x≤2As There is open dot on -9 we used <
What is the area of this octagon?
Answer options with 5 options
A.
72 centimeters squared
D.
38 centimeters squared
B.
59 centimeters squared
E.
31 centimeters squared
C.
42 centimeters squared
Answer:
please send the image to enable me to answer
The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes
The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.
Wha is multiplication?
Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.
How long would it take you to run 3.1 miles?In order to determine the time, multiply 3.1 miles by 8 minutes
3.1 x 8 = 24.8 = 24 minutes 48 seconds.
To learn more about multiplication, please check: https://brainly.com/question/13814687
Question 10 of 10
Which of the following graphs is described by the function given below?
Y = x - 6x -7
• A. Graph A
• B. Graph B
• C. Graph C
• D. Graph D
PLEASE!!!!!!!
Answer:
Graph A
Step-by-step explanation:
The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.
Someone help me answer I need help
Answer:
Step-by-step explanation:
Is that Ed genuity?! I used to use it. I had the same problem once!
In the xy-plane, the graphs of y = x2 - 8x + 18 and y = - 4x + 14 intersect at point (a, b). What is the product of a and b?
Answer:
12 and 5
Step-by-step explanation:
will (2)/(5)+\sqrt(3) be rational or irrational
Answer
rational
Step-by-step explanation:
What is the value of n?
there are 50 peoples at a meeting. They each shake hands with everyone else. How many handshakes were there?
How many outfits consisting of a suit and a tie can a man select if he has two suits and nine ties?
Answer:
2 outfits and 7 ties left
Step-by-step explanation:
Answer: my guess is 18 or 4 because you can multiply 2*9 or divide 9/2 which gives you 4.5
You could round it but then it would just be 4 outfits and a half which wouldn’t make sense so it’s best if 4. I really hope if I helped because honestly I was confused too lol have a good day
Step-by-step explanation:
What is the value of s?
s
880
370
Answer: 37 degrees
Step-by-step explanation:
Vertical angles are congruent.
The tent shown is a triangular prism. What is the amount of space inside the tent?
A.What is the length of the tent, to the nearest foot, from the front to the back?
B. What formula will find the space inside the tent ? what is the space inside the tent?
The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.
What is the volume of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The volume of a right triangular prism = ( height × Base Area)
A. The length of the tent to the nearest foot, from the front to the back
= 15 + 6 + 15+ 6
= 42 ft
B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:
The volume of a right triangular prism = ( height × Base Area)
height = √(36 - 9)
= √27
The volume of a right triangular prism = √27 × 157.2
= 816.83
Learn more about triangular prism;
https://brainly.com/question/15843335
#SPJ1
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
it'll be (2,3)
hope it helps...!!!
a rectangle has an area of 30 square meters and a permiter of 34 meters what are the dimensions of the rectangle
Answer:
2m by 15m
Step-by-step explanation:
Form a system of equations where x is the length and y is the width.
Area: xy=30
Perimeter: 2x+2y=34
x=2, y=15 (solve by substitution)
Use the power reducing formula to rewrite sin^4(6x) in terms of the first power of cosine
The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).
Reducing Trigonometric identitiesIt follows from the task content that;
Trigonometric identity, Sin⁴(6x) = 1 - Cos⁴(6x)Hence, from product identity;
Cos⁴(6x) = (1/2) (Cos²(12x)Upon further use of the product identity;
(1/2) (Cos²(12x) = 1/4(Cos (24x)).On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;
= 1 - 1/4(Cos (24x)).Read more on power reducing formula;
https://brainly.com/textbook-solutions/q-exercises-35-38-use-power-reducing-formulas-c7freu
help please :(((((((
Answer do your work
Step-by-step explanation:
What is the value of X?
Answer:
30
Step-by-step explanation:
All of the angles add to 180 degrees for a triangle
x + 2x + 3x = 180
6x = 180
x = 30
Annita is sewing a lace edge around a rectangular quilt. She will need 146 inches of lace to do the entire quilt. If the quilt is 38 inches wide, how long is the quilt?
Answer:
35 inches long
Step-by-step explanation:
the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35
Which statement about the function represented by this graph is true?
Step-by-step explanation:
There is no options but I think the graph equation is
[tex]f(x) = \sqrt{x} + 2[/tex]
Easy math what ones right
Is the answer to 15% of 45 6.75?
Answer:
Yes
Step-by-step explanation:
What is 15 percent of 45? = 6.75.
Place the indicated product in the proper location on the grid. (a - b)(a 2 + ab + b 2)
Answer:
a^3 + b^3
Step-by-step explanation:
(a + b)(a^2-ab+b^2)
a(a^2 -ab +b^2) +b(a^2-ab+b^2)
a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3
a^3 -a^2b +a^2b ab^2-ab^2 + b^3
The final answer will then be:
a^3 + b^3
Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!
Answer:
a^3 - b^3
Step-by-step explanation:
a^3+a^2b+ab^2 -a^2b -ab^2 -b^3
a^3 - b^3
1. Jeremy rode his bike 9 miles in 3
hours. At this same rate, what is the
total number of miles Jeremy could
ride in 4 hours?
Answer:
12
Step-by-step explanation:
first, find the unit rate. to get the unit rate, we would figure out how many miles he can ride in 1 hour. to get this, divide by 3, to get hours to 1 instead. now divide miles by 3 to get 3 mph. multiply by 4, and you have your answer.