Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)
Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2
Answer:
1/2 ab sinC =1/2(5.5×12)sin33 = 17.97
Step-by-step explanation:
Put the numbers in the equation ,a calculator will be better.
The area of the triangle is 18.0cm².
What is the sine rule for the area of the triangle?The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.
Area= Δ= (1/2)*a*b*sinC
where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.
Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.
The angle between the sides is 33°.
Then using the sine rule for the area of the triangle
The area of the triangle= (1/2)*a*b*sinC
=(1/2)*12*5.5*sin 33°
=17.97≅ 18.0 cm²
Therefore the area of the triangle is 18.0cm².
Learn more about the sine rule
here: https://brainly.com/question/27174058
#SPJ2
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)
Answer:
b
Step-by-step explanation:
Solve the following equation: 8x + 6 + 3x - 4
Please hurry.
Answer:
A
Step-by-step explanation:
x = -2
Answer:
x=-2
Step-by-step explanation:
I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments
But yeah
If that helps, plz mark brainiest, i'm almost leveled up :3
Thanks!
How many zeros are in the product 4 x 10 7th power
Answer:
7 or 40,000,000
Step-by-step explanation:
The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7
10^7 (its just 10 times itself 7 times) = 10,000,000
4 * 10,000,000 = 40,000,000
Hope this helps
~R3V0
A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle
9514 1404 393
Answer:
205 ft
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...
A = LW
7585 = (6w-17)(w)
6w² -17w -7585 = 0
Perhaps most straightforward is using the quadratic formula to solve this.
For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...
[tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]
The width is 37 feet, so the length is ...
6(37) -17 = 205 . . . feet
The length of the rectangle is 205 feet.
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer:
where's the question???
Step-by-step explanation:
Step-by-step explanation:
Volume of cylinder=πr²h
kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score
decimal
Answer:
8.0
Step-by-step explanation:
24 to the second power divided by 47
Answer:
[tex]\frac{576}{47}[/tex]
Step-by-step explanation:
[tex]24^{2} = 576[/tex], since 47 is a prime number and 576 isn't divisible by it, [tex]\frac{576}{47}[/tex] would be the best answer.
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s revenue was $29 billion less than Apple's revenue. The total revenue for both companies was $77.8 billion.
Answer:
a. 53.4
b. 24.4
Step-by-step explanation:
a+j=77.8
j=a-29
a+j=77.8
-a+j=-29
2j=48.8
j=24.4
a+24.4=78.8
a=53.4
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???
Answer:
okay maybe try alliteration...
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph
Answer:
It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.
Step-by-step explanation:
Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:
27 - (4 + 5) = 27 - 9 = 18
27 - (4 + 5) x 3 = 0
Therefore, it took 3 hours for the two to meet.
4 x 3 = 12
Thus, they were 12 miles from Joseph's home when they met.
PLSSSS HELP AND NOOOO LINKS OR SPAMMERS!!!! Write the equation of the line for the graph shown below.
The value of X (click photo)
Answer:
20°
Step-by-step explanation:
;b
Answer:
x=40
Step-by-step explanation:
The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).
<RTS=(1/2)(mQP-mRS)
(x/2)=(1/2)((x+70)-(x+30))
x=x+70-x-30
x=40
The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?
Answer:
I sont know
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
since 5 is half of 10, 4 is half of 8.
help please , i need it asap ! ty
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches
Answer:
D. 16 in²Steps:
given:
V = 32 in³
h = 2
Ab = V/h
Ab = 32/2
Ab = 16 in²
Answer:
D. 16 square inches
Step-by-step explanation:
Hope this helps
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
Which term could be put into the blank to create a fully simplified polynomial written in standard form
Answer:
[tex]x^{2} y^{2}[/tex]
Step-by-step explanation:
Find the area of each figure. Answer asap
Answer: There is no picture I will edit my answer when you add one
Step-by-step explanation:
Answer:
I need the picture or the shape please and thank you
Step-by-step explanation:
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
Answers please and explain
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102
-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium
Answer:
mean:-3
median:5
mode: all values appeared once
range:169
Step-by-step explanation:
Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?
Answer:
0.75 or 3/4 sheet of paper
Answer:
3/4 of each sheet
Step-by-step explanation:
You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.
How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?
Answer:
A is your correct answer.
1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.
Step-by-step explanation:
Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.
Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.
Please let me know if you have questions about this.
Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?
A: Every fifth student that enters her classroom
B: Her Honors class
C: 5 boys in each of her class
D: At the end of the day, ask teachers what they think student will like
Answer:
A
Step-by-step explanation:
Because it is a random sample