Answers
Answer:
x = 20, y = 3
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{TU}{QR}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )
[tex]\frac{x}{4}[/tex] = [tex]\frac{30}{6}[/tex] = 5 ( multiply both sides by 4 )
x = 20
and
[tex]\frac{QS}{TV}[/tex] = [tex]\frac{RS}{UV}[/tex] ( substitute values )
[tex]\frac{y}{15}[/tex] = [tex]\frac{6}{30}[/tex] ( cross- multiply )
30y = 90 ( divide both sides by 30 )
y = 3
Related Questions
5. Which of the following is the simplified form of 57.57.57.57x ? (2 points)
Answers
Answer:
I think its X[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
The answer is x^4/5 (the second one)
Step-by-step explanation:
which is greater 4/16 or 16/64
Answers
Answer:
the answer is 16/64...............
Someone please help me! Which one is independent and dependent
Answers
Answer:
The top is independent
The bottom is dependent
Step-by-step explanation:
The top is independent because it does not rely on another variable. It is the "affector" and not dependent on it.
The bottom is dependent because it does rely on another variable. It is dependent on this other variable because it will be affected by any changes in that other variable.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
help me with geometry please
Answers
Answer:
yes
...................
Answer:
yes.............
What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4?
Answers
The graph shows the number of game consoles sold in millions since 2009.
Game Console
9
(0, 25.5)
25
20
(1, 15.3)
Number of Game Consoles Sold
(millions)
15
10
(2, 9.18)
0
2 3 4 5 6 7
Number of Years Since 2009
Based on this information, which function best models the number of game consoles sold in
millions x years since 2009?
A 9(x) = 0.6(25.5)
09(x) = 25.5(0.6)
c g(x) - 6.12(25.5)
D 9(x) = 25.516 Y
Answers
The graph is an illustration of an exponential function
The equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]
How to determine the equation of the graphFrom the graph, we have the following ordered pairs
(x,y) = (0, 25.5), (1, 15.3) and (2, 9.18)
An exponential function is represented as:
[tex]y = ab^x[/tex]
When x = 0, we have:
[tex]25.5 = ab^0[/tex]
[tex]a = 25.5[/tex]
When x = 1, we have:
[tex]15.3 = ab^1[/tex]
[tex]15.3 = ab[/tex]
Substitute 25.5 for a
[tex]15.3 = 25.5b\\[/tex]
Solve for b
[tex]b = 0.6[/tex]
So, the exponential equation is:
[tex]y = 25.5 * 0.6^x[/tex]
Hence, the exponential equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]
Read more about exponential functions at:
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g(x) =25.5(0.6)ˣ function best models the number of game consoles sold in millions x years since 2009?
From the given graph we can observe three ordered pairs which are (0, 25.5), (1, 15.3) and (2, 9.18).
We have to find the function which best models the number of game consoles sold in millions x years since 2009.
This we can find by using exponential function.
y=abˣ
When x = 0, we have:
a=25.5
When x=1, then y should be 15.3
15.3=ab
Substitute 25.5 for a
15.3=25.5b
Divide both sides by 25.5:
b=0.6
So the function is g(x)=25.5(0.6)ˣ
To learn more on Functions click:
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By selling a television set for $421 Suzie incurred a loss of 6% . what is the cost price ?
Answers
Answer:
The cost price is $395.74 or $446.26
Step-by-step explanation:
When we do 421 times 0.06 (same thing as 6%) we get 25.26
We subtract 25.26 from 421 we get $395.74
If we add 25.26 to 421 we get $446.26
Write three rational numbers between −1 /5 and 1 /2
Answers
Answer:
-1/10, 2/10, and 4/10
Step-by-step explanation:
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.
First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.
We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?
-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.
Hope this helps.
A city has current population of 55,000, and it is growing at a rate of 2% each year. What is the approximate predicted population after 7
years?
OA. 8,178
B. 14,000
C. 63,178
D. 142,075
Answers
1 + 1 express as fraction
Answers
Answer: 2 over 1
Step-by-step explanation:
1+1=2
However we want this as a fraction
Any whole number as a fraction is just over one
Therefore the final answer is 2 over 1
You’re welcome Kaeya!
Answer: it’s 2 over 1 mate
Step-by-step explanation: you’re welcome
Solve the simultaneous equations
4x + 2y = -1
5x – 3y = 7
Answers
Answer:
4x-2y=-1 multiply by 3
5x-3y=7 multiply by 3
12x+6y=-3
10x-6y=14 add them
so =22x=11
x=1/2
5(1/2)-3y=7
2.5-3y=7 take 2.5 to the other side
-3y=4.5
y=-3/2
therefore x=1/2 and y=-3/2
Step-by-step explanation:
4(2x + 3) ÷ 5y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
Answers
Answer:
sum: 2x + 3 but you cant add not like terms
Term 2x + 3
Product 8x+12
factor 2,x ;5,y; 4,(2x+3)
quotient 4(2x+3) ÷ 5 = 12 ÷ 5y
coefficient = 2 and 5
Step-by-step explanation:
sum: 2x + 3 but you cant add not like terms
Term 2x + 3
Product 8x+12
factor 2,x ;5,y; 4,(2x+3)
quotient 4(2x+3) ÷ 5 = 12 ÷ 5y
coefficient = 2 and 5
Twice a number is 500 more than six times the number. What is the number?
Answers
» Twice a number is 500 more than six times the number. What is the number?
Answer: [tex] \color{hotpink}{ \bold{- 125}}[/tex]— — — — — — — — — —
Solution:Let the number be x.
Then,
[tex]2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}[/tex]
Hence, the number is -125.
Using algebraic expression, the number is calculated as: -125.
What is an Algebraic Expression?An algebraic expression involves using numbers and variables to make statements.
Let the unknown number be represented as x. Therefore:
Twice the number is 2x
2x is 500 more than 6x is 2x = 6x + 500
Solve the algebraic equation to find the number (x):
2x = 6x + 500
2x - 6x = 500
-4x = 500
x = -500/4
x = -125
Thus, using algebraic expression, the number is calculated as: -125.
Learn more about algebraic expression on:
https://brainly.com/question/2164351
Multiple Choice, A standard circus ring has a radius of 6.5 meters, Which of the following is the approximate circumference of the circus ring? A. 13 meters B. 20.4 meters C. 40.8 meters D. 132,7 meters
Answers
Answer:
C 40.8 meters
Step-by-step explanation:
circumference equals diameter, aka 2r, times 3.14, aka pi
have a good day friend :)
Need help ASAP !
Are the two triangles similar? Why or why not?
Answers
Answer:
(c) Similar by AA~
Step-by-step explanation:
The outside segments are marked parallel, so the angles formed where the transversals meet them are congruent. That is ∠CBD ≅ ∠EDB, and ∠CED ≅ ∠ECB. (The vertical angles where the lines cross are congruent, as well.)
So, the angles in one triangle are congruent to the angles in the other triangle. The triangles are similar by the AA~ postulate.
Help with this question.
What is sin 30*?
Answers
So Sin 30 = 1/2
One day ill get the hang of it but for now i'm asking for help
Answers
Answer:
37.68
Step-by-step explanation:
circumference is diameter, which in this case is 12,times pi which I always simplify to 3. 14
12 times 3. 14 is approximately 37cm so that is why I have given this answer
brainliest?
Option B) is correct.
Here, we are given –
Diameter of circle is = 12 cm [tex]\star{\underline{\boxed{\sf{\pink{Diameter = 2 \times Radius }}}}}[/tex]Let's find it's radius first.
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{Diameter }{2} [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{12 }{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \cancel{\dfrac{12 }{2}}[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Radius = 6 \: cm[/tex]
We know that–
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Circumference \: of \: circle = 2\pi r}[/tex]
[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi r[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi \times 6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} =2 \times 3.14\times 6[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Circumference_{(Circle)} = 37.68 \: cm }\\[/tex]
Henceforth, circumference of the given circle will be 37.68 cm.BRAINLY I NEED HELP NOWWWWW
Answers
Answer:
9/9/108/126
Step-by-step explanation:
1/2bh is how you find the area of a triangle ! :)
This means that for both triangles, the area is 2 times the height, 9, then multiplied by one half. The area is 9 for both the left and right triangle.
The area of the rectangle is the product of the two lengths: 9 and 12, which is 108.
This means that the area of the entire trapezoid is 126. :D
A parabola can be drawn given a focus of (5, -3)and a directrix of x=1. What can be said about the parabola?
Answers
Answer:
The parabola is a horizontal parabola and it faces to the right. The vertex is at (3, -3) (*Double check this because I don't have graph paper*) because the vertex is always the same distance from the directrix and the focus.
help ill give 5 stars if correct
Answers
Answer:
7 1/4
Step-by-step explanation:
12 3/4- 5 1/2
pls help plsssss due in a few minsss
Answers
6. x=1 , y=2
7. x=-4 , y=5
8. Infinitely Many Solutions
The volume of a cube is 8 cubic inches. What is the length of each side of the cube?
Answers
Answer:
if a cube has a volume of 8 it has a side length of 2 so the answer is 2
the question is in the picture
Answers
Answer:
[tex]5^2 = 25[/tex][tex]5^{-2}[/tex] = [tex]\frac{1}{25}[/tex][tex](-5)^{2} = 25[/tex] [tex]-5^{2} =-25[/tex]Solution:
We know the following rules:
Rule: If an exponent is negative, it will be in the fraction 1/nˣ.Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.Rule: if a number's exponent is 0, then the number is 1.Now, let's solve each problem.
5² = 5 x 5 = 255⁻² = 1²/5² = 1/25(-5)² = (-5) x (-5) = 25-5² = -(5²) = -(25) = -25Learn more about exponents: https://brainly.com/question/26553706
A pencil has a length of 17 cm measured to the nearest centimetre.
(a) Write down the least possible length of the pencil.
(b) Write down the greatest possible length of the pencil.
Answers
Answer:
(a) 16.89
(b) 17.44
Step-by-step explanation:
Write AB with A(-9, 2) and B (-1,
6) in component form.
Answers
The written form of vector AB in component form is; (4,8)
Vectors in component formFrom the given points;
The magnitude of vector AB is given as;AB = √((-1-(-9))² + (6-2)²AB = √80 = 4√5From evaluation, the angle direction of AB is;
Hence, the x and y components of vector AB are;
AB(x) = 4√5 × (1/√5) = 4AB(y) = 4√5 × (2/√5) = 8.Read more on component of vectors;
https://brainly.com/question/2142917
Will give brainliest! ASAP
What is the value of the prism?
Pls help I need ASAP
Answers
Explanation:
There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.
The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.
What fraction of an hour is 52 minutes
Answers
Answer:
As a decimal, it's 0.867. As a fraction it is 867/1000
Step-by-step explanation:
Help me asap i don’t know how to do this please help me
Answers
4x+18=7x-27
x=15
180-(4x+18)=4y+2
102=4y+2
y=25
Angle 1=4(15)+18=78 degrees
Angle 4=4(25)+2=102 degrees
WILL GIVE BRAINLIEST
What is the value of the coefficient of the 5th term in the expansion of (a + b) ^6
a. 20
b. 6
c. 10
d. 15
Answers
Answer:
D. 15
Step-by-step explanation:
I assume you know what pascal's triangle is if this is the work you must complete. If not, I have attached it below.
Now, raising (a+b) to the 6th term would expand to this, based on Pascal's triangle
[tex]\left(a+b\right)^6 = \quad a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6[/tex]
Remember that terms are separated by addition or subtraction symbols.
The 5th term of this 7 term expansion would be 15a^2b^4. The coeffecient is 15 in this case.
~~~~~~~~~~~~~~~~~~~~~~~~
Let me know if you have any questions! Spread the Love.
Solve using substitution.
x = –2
5x + 3y = 14
Answers
Answer: (-2, 8)
Explanation:
Plug x = -2 into the second equation. Isolate y.
5x+3y = 14
5(-2)+3y = 14
-10+3y = 14
3y = 14+10
3y = 24
y = 24/3
y = 8
We have x = -2 lead to y = 8.
Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.