Answers
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
Related Questions
12) What type of triangles will always be similar to one another?
Answers
Answer:
Right
Step-by-step explanation:
Answer: Two equilateral triangles are always similar.
Step-by-step explanation:
PLEASE HELP FAST!!!!
The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?
Answers
Answer:
width is 8, length is 12
Step-by-step explanation:
l = w+4
l x w= 96
4+w x w = 96
w^2 +4w -96 = 0
w+12 W -8
w = 8
The dimensions of the frame are 8 feet in width, 12 feet in length.
Calculations and ParametersGiven the data:
[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]
Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.
Read more about length and breadth here:
https://brainly.com/question/26759758
#SPJ6
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Which fractions equal the whole number 3?
Answers
Answer:
9/3=3
Step-by-step explanation:
3 goes into 9 3 times
3,6,9
The satellite Space Explorer flies 32000 miles in 8 hours. Find the rate of change.
Answers
Answer:
4000 miles an hour
Step-by-step explanation:
32000 ÷ 8 = 4000 miles an hour
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answers
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answers
Answer:
Step 3 because they didn't add correctly
Suilin needed 7 dollars 13 cents to buy a book. In her wallet, she found 3 dollar bills, 4 dimes, and 14 pennies. How much more money does Suilin need to buy the book?
Answers
Answer:
$3.49
Step-by-step explanation:
How many miles did Byron drive? Please do not guess!
Answers
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?
Answers
Brainliest would be nice
How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?
Answers
Answer:
1Step-by-step explanation:
(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1Answer:
solution given:
(3a^2b) /(5ac) x (10c) /(6ab)
[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]
1 is your answer
URGENT PLEASE HELP !!!
Answers
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
Math problem 8/3+(-9/4)
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Answer: =5/12
Step-by-step explanation: Hope this help :D
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answers
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
Subtract.
56 2/3−18 5/7
Enter your answer as a mixed number in simplest form
plzplzplzplzplzpplzplzplzplzplzplzpzlpzlpzlplz
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll[ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Help if you can :)
Also, show work
thxx <3
Answers
Answer:
3. The answer is B: 315 dm³
4. It is A: 47,786 2/3 ft³
Step-by-step explanation:
3.I multiplied Length x Width x Height and then divided by 3
4. I did 64 to the second power and then multiplied it by 35/3
if you actually know the answer please give me an explanation of the answer so i know you're not just answering for points.
Answers
Answer:
i think it's A but I'm not to sure
Step-by-step explanation:
don't count my word for it just here with a geuss
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
Answers
what is 3√500 in simplify form
answers
5√4
4√5
25√5
100√5
Answers
Answer:
30[tex]\sqrt{5}[/tex]
Step-by-step explanation:
3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]
Answer:
none of the above
30√5
Step-by-step explanation:
3 √500
3√25x4x5
3x5x2√5
30√5
A line goes through the points (-3,-6) and (6,9). Find the slope
Answers
Answer:
Slope = 5/3
-------------------
m = 5/3
Answer:
5/3
Step-by-step explanation:
Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:
9-(-6)/6-(-3)
Since both are negatives, you would add it like this:
9+6/6+3= 15/9
Now, you need to simplify this fraction which is 5/3.
a/5=b/7 if b#0 what is the value of a/b
Answers
Answer:
A = 20
b = 28
Step-by-step explanation:
a = 20/5 = 4
b = 28/7 = 4
What is the rule for dividing a fraction explain.
Answers
Answer:
When students see a number that ends in an even digit, they should know the number can be divided into two evenly. However, numbers that end in odd digits can be divided by two, they'll just have a remainder or decimal.
Step-by-step explanation:
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answers
Answer: =7/12
Step-by-step explanation:
What is the distance between (-5, -8) and (-1, -16)
Answers
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
3/4(5x - 3) + 8 = 17.
Answers
Answer:
x=3
Step-by-step explanation:
help me and I’ll give you brainliest
Answers
Answer:
50m
Step-by-step explanation:
The triangles are similar, so their sides are in ratio:
BC/BE=AD/ED
j/46=25/23
j=(25/23)(46)=50
which statements are true about the trigonometric ratios of this triangle
Answers
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
If you flip three fair coins, what is the probability that you'll get heads on the first two flips and tails on the
last flip?
Answers
Answer:
1/8
Step-by-step explanation:
Khan Academy
Answer:
1/8
Step-by-step explanation:
Khan Academy
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answers
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
which expression is equivalent to n+n+n+n? pick outta these A n4 B 4n C4n to the power of 4 D n+4
Answers
Answer:
B
Step-by-step explanation:
Answer:
the answers b sorry if it's wrong
Step-by-step explanation:
have a great day