Answers
Answer:
w = 16, x = 11, y = 6, z = 7.5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Then by proportion
[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3w = 48 ( divide both sides by 3 )
w = 16
----------------
[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]
4x = 36
x = 9
-------------------
[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]
3y = 18
y = 6
----------------------------
[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]
4z = 30
z = 7.5
Related Questions
Answer number 6 for me
Answers
Answer:
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = [tex]\sqrt{72}[/tex]
c=3[tex]\sqrt{8}[/tex]
c=8.485281374
Step-by-step explanation:
How many roots does this function have in common f(x)=x^2-4x-5
Answers
Order the integers from least to greatest. 4, –4, –2, 2, –8
Answers
-8, -4, -2, 2, 4
hope this helps
the dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
Please help me
Answers
Answer:
B. 192.5 ft³
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
Answer:
25 times 12
300
divided by 2
150
times 22
3300 cubic ft
Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3
Answers
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps
Menza has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Which inequality represents the number of students, s, that can attend the party?
5.5s ≤ 150
5.5s ≤ 350
5.5s ≤ 500
5.5s ≤ 650
Answers
Answer:
Step-by-step explanation:
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.
Answers
Answer:
ML = √[¼ (EC)²]
Step-by-step explanation:
ML² = ½(QR)²
QR² = ½(EC)²
so, ML² = ¼ (EC)²
=> ML = √[¼ (EC)²]
The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.[tex]SE = \frac{AE}{2}[/tex]
Similarly, [tex]RE = \frac{CE}{2}[/tex]In Δ SER, ∠E = 90°,
∴ By Pythagoras theorem, SR² = SE² + ER²
∴ [tex]SR^2 = (\frac{AE}{2})^2 + ( \frac{RE}{2})^2 = \frac{AE^2 + CE^2}{4}[/tex] ...... (1)
∴ Similarly, [tex]RQ^2 = \frac{BC^2 + CE^2}{4}[/tex] ............ (2)
Since, M & L are the midpoints of SR and RQ.
[tex]MR = \frac{SR}{2}[/tex] & [tex]RL = \frac{RQ}{2}[/tex]
In Δ LMR, ∠R = 90°,
∴ By Pythagoras theorem, ML² = RM² + RL²
∴ [tex]ML^2 = (\frac{SR}{2})^2 + ( \frac{RQ}{2})^2 = \frac{SR^2 + RQ^2}{4}[/tex]
Substituting value of SR and RQ from 1 and 2.
[tex]ML^2 =\frac{1}{4} [ \frac{AE^2 + CE^2}{4} + \frac{BC^2 + CE^2}{4} ][/tex]
As ABCE is parallelogram, BC = AE
∴ [tex]ML^2 =\frac{1}{4} [ \frac{2AE^2 + 2CE^2}{4} ] = [ \frac{AE^2 + CE^2}{8} ][/tex]
[tex]ML = \frac{AC}{2\sqrt{2} }[/tex]
Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Learn more about parallelogram here:
https://brainly.com/question/970600
#SPJ2
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answers
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
I need help pls it’s a final
Answers
Answer:
A.Both of the students did the problem correctly.
Step-by-step explanation:
B. Nikki multiplied the fraction(8/3) to the items in the parentheses. Then multiplied each side with 3. Jon did the opposite. He first removed the fraction by multiplying each side by 3. Then he multiplied 2 to the items in the paranthesis.
C. I prefer Jon's method. Fractions can be tricky. I prefer to remove them as soon as possible. This time the items in the paranthesis had whole numbers. But had any of them been a fraction too, the problem would have gotten a lot more tricky and it would very easy to make a mistake or miscalculate something.
I've never been this confused can someone help? I'll be brainlisting!! it's urgent.
Answers
Try this option:
a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87
solve for x
6x²+2x-12
Answers
Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
[tex]2(3x^2+x-6)[/tex] and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
[tex]x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4+288} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{292} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4*73} }{12}[/tex] and
[tex]x=\frac{-2+/-2\sqrt{73} }{12}[/tex] which finally simplifies to
[tex]x=\frac{-1+/-\sqrt{73} }{6}[/tex] No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
Answers
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Answers
Answer:
1 Hour
Explanation:
•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Answers
Answer:
Step-by-step explanation:
t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Adding and subtracting polynomials
Answers
Answer:
The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21
Step-by-step explanation:
The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus
4x² - 3 + 4x² - 2 + 4x² - 1
We can then separate our variables and constants to make it
4x² + 4x² + 4x² - 3 - 2 - 1
Add the constants to get
4x²+4x²+4x² - 6
To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,
4x² + 4x² + 4x² = (4+4+4)x² = 12x²
4x²+4x²+4x² - 6 = 12x² - 6
Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²
Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21
Morning Donuts tracked how many of each type of donut were recently sold.
jelly-filled donuts
3
cake donuts
2
cream-filled donuts
5
What is the experimental probability that the next donut sold will be a cake donut?
Write your answer as a fraction or whole number.
P(cake donut) =
Answers
Using it's concept, it is found that there is a 20% experimental probability that the next donut sold will be a cake donut.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes is taken from previous trials.
In this problem, we have that from the previous 10 trials, 2 resulted in a cake donut being sold, hence:
P(cake donut) = 2/10 = 0.2 = 20%.
20% experimental probability that the next donut sold will be a cake donut.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 1/5
i did this question before and this was the correct answer
Please help me!!
The picture of the question is attached
Answers
Answer:
x = 240°, x = 300°
Step-by-step explanation:
Using the identity
sin x = [tex]\frac{1}{cosecx}[/tex] = [tex]\frac{1}{-\frac{2}{\sqrt{3} } }[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60° ← related acute angle
Since sin x < 0 then x is in 3rd / 4th quadrants
x = 180° + 60° = 240°
x = 360° - 60° = 300°
find the value of 3x=1/9
Answers
54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.
Answers
Answer:
Daylilies- $11, Ornamental grass- $7
Step-by-step explanation:
For this one, you want to convert this into simultaneous equations.
If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.
From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.
Dividing both sides by 4 isolates d, leaving d=$11.
We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.
From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.
**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!
All working out:
d- cost of one daylily o- cost of one bunch of ornamental grass
2d+3o=43 6d+3o=87
6d+3o=87
- - -
2d+3o=43
= = =
4d =44
÷4 ÷4
d =11
2d+3o=43
2×11+3o=43
22+3o=43
3o=21
o=7
Which statement is true?
Answers
Answer:
I believe it is the 3rd one down
Step-by-step explanation:
Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees
I NEED AN ANSWER RN PLEASE! WILL GOVE BRAINLIEST NEED QUICK!!
If r = "3 and m =
80, what is the value of m - 4r: (r + 1)?
O A. 17
O B. 74
O C. 114
O D. 152
Answers
Answer:
I got an answer of 77, so I am assuming it may be the closest option of 74?
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answers
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm
Answers
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
Answers
At 11:30 a.m. the bottle is 1/4 of the way full. At what time will the bottle be 1/2 full?
Answers
Answer:
depending how what kind of bottle I think
Pilar has a square game board with 25 equal sections. The sections are randomly colored with 4 different colors. There are 5 blue, 5 red, 10 yellow, and 5 green squares. Each player has a chip to toss onto the game board. What is the probability of a player tossing a chip onto a yellow square!
Answers
Answer:
The probability is 2/5
Step-by-step explanation:
There are 25 sections on the board
And 10 of those squares are coloured yellow
Therefore;
Probability =
[tex] \frac{10}{25} = \frac{2}{5} [/tex]
Martha estimated the quotient of −71.81 and −8.02 using rounding to the nearest whole number. 9 StartLongDivisionSymbol 72 EndLongDivisionSymbol minus 72 = a remainder of 0 and quotient of 8. What was Martha's error? She should have rounded the dividend to 70. She should have rounded –8.02 to –8. She should have divided 8 by 72. She did not make an error.
Answers
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:
[tex]-71.81 \approx 72[/tex]
[tex]-8.02 \approx 9[/tex]
Her approximation of -8.02 is wrong
Because:
[tex]-8.02 \approx 8[/tex]
Hence (b) is correct
B (she should have rounded –8.02 to –8)
Step-by-step explanation:
Just got it right on e d g e u n i t y 2021!
Identify the y-intercept of line in the graph?
Answers
Answer:
(0,-1)
Step-by-step explanation:
You look at where the line intercepts the y axis, which is at (0,-1)
Answer:
(0,-1)
Step-by-step explanation:
y intercept is the point on the y- axis
The coordinates are (0,-1)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
hey what's the answer
[tex] - 11a(3a + 2a)[/tex]
Answers
[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]
[tex]I \: hope \: it \: will \: help \: you[/tex]
I SUCK AT MATH. HELP!!!
Answers
Sin P= 2/30
Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)
Sin= O/H
Cos= A/H
Tan= O/A