Answer:
B.
Step-by-step explanation:
When written as proportions, the ratios of oranges to cups of juice are always equal.
3/4t=2/3
What the answer
Answer:
[tex]t = \frac{8}{9} [/tex]Step-by-step explanation:
3/4 t = 2/3
Multiply both sides of the equation by 4/3
4/3 * 3/4 t = 4/3 * 2/3
Reduce the numbers with G.C.F 4
1/3 * 3t = 4/3 * 2/3
Reduce the numbers with G.C.F 3
t = 4/3 * 2/3
Multiply the fractions
t = 8/9
Hope this helps...
Good luck on your assignment...
Answer:
[tex]t= \frac{8}{9} \\ [/tex]
Step-by-step explanation:
[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]
[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]
[tex]t = \frac{8}{9} [/tex]
What is the measure of XYZ?
Help plz
Answer:
The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle
Answer:wrong. Its 249 degrees
Step-by-step explanation:
Just got it right on the quiz
Consider the numbers p
= 2.78 × 10^11 and q = 3.12 × 10^-3
Calculate 3 radical p/q.
Give your full calculator display.
Answer:
44664.59503
Step-by-step explanation:
Hello,
In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".
In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)
P = 2.78×10¹¹
Q = 3.12×10⁻³
p / q = 2.78×10¹¹ / 3.12×10⁻³
p / q = 8.91×10¹³
The 3 radical = 3√(8.91×10¹³)
3√(p/q) = 44664.59503
Two terms of an arithmetic sequence are a7 = 32 and a19 =140. Find a rule for the nth term.
Answer:
aₙ = 9n - 31
Step-by-step explanation:
If we call the common difference as d, since 19 - 7 = 12, we can write:
32 + 12d = 140
12d = 108
d = 9 which means that a₁ = a₇ - 6d = 32 - 6 * 9 = -22.
Explicit formula for arithmetic sequence: aₙ = a₁ + (n-1)d so the answer is
aₙ = -22 + (n - 1) * 9
= -22 + 9n - 9
= 9n - 31
what is the square root of 0.49
Answer:
0.7
if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root
Hope this helps
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
0.49 = 49/100
√(49/100)
√49/√100
7/10
= 0.7
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Answer:
[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]
Step-by-step explanation:
Hello,
a and b are the zeros, we can say that
[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]
So we can say that
[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]
Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write
[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]
and we can notice that
[tex]a^2+b^2=(a+b)^2-2ab[/tex] so
[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]
it comes
[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]
multiply by 3
[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]
The graph below represents the solution set of which inequality?
Answer:
x < 2
Step-by-step explanation:
The indicated part is left from point 2.
You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.
Now you have enough info to get the right inequality:
x < 2
What is the scale factor of ABC to DEF?
Answer:
answer is 1
Step-by-step explanation:
The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.
In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
So, the scale factor of ABC to DEF is
AB/DE = BC/EF = AC/DF = 5/5 = 1
Therefore, the correct answer is option D.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Please help with atleast some❤️❤️❤️
1. Find angle measures and use angles to classify triangles.
Part I: Find the missing angle measure in each triangle. Show your work. (3 points, 1 point each)
TRIANGLE 1= 50 75
TRIANGLE 2= 60 30
TRIANGLE 3= 30 45
Answer:
55, Acute angled scalene triangle
90, Right angled scalene triangle
105, Obtuse angled scalene triangle
Step-by-step explanation:
Let us learn the property of a triangle.
Let a triangle be [tex]\triangle ABC[/tex].
Sum of all the three internal angles of a triangle is always equal to [tex]180^\circ[/tex].
OR
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
Given that triangles have 2 angles. Let us suppose, the third angle be [tex]x^\circ[/tex]
1. Triangle 1: two angles are [tex]50^\circ, 75^\circ[/tex]
[tex]\therefore 50^\circ+75^\circ+x=180^\circ\\\Rightarrow 125+x=180^\circ\\\Rightarrow x=55^\circ[/tex]
All the angles are less than 90 and no two angles are equal so, it is acute angle scalene triangle. (No sides equal)
2. Triangle 1: two angles are [tex]60^\circ, 30^\circ[/tex]
[tex]\therefore 60^\circ+30^\circ+x=180^\circ\\\Rightarrow 90+x=180^\circ\\\Rightarrow x=90^\circ[/tex]
One angle is 90 and not two angles are equal so, right angled scalene triangle.(No sides equal)
3. Triangle 1: two angles are [tex]30^\circ, 45^\circ[/tex]
[tex]\therefore 30^\circ+45^\circ+x=180^\circ\\\Rightarrow 75+x=180^\circ\\\Rightarrow x=105^\circ[/tex]
One angle is more than 90 and not two angles are equal so, obtuse angled scalene triangle.(No sides equal)
So, the answers are:
55, Acute angled scalene triangle
90, Right angled scalene triangle
105, Obtuse angled scalene triangle
What does Cos mean in geometry
Answer:
cosine
Step-by-step explanation:
"Cos" is the abbreviation usually applied to the name of the cosine function. That function gives the x-coordinate of the point on a unit circle that is at some angle measured counterclockwise from the x-axis. A unit circle is a circle with a radius of 1 unit, centered at the origin.
Can someone please help me I really need help
Answer:
-721 is greater than -723.
Step-by-step explanation:
Answer:
x < - 721
Step-by-step explanation:
x < - 721 is the one according to the pictured line
Find the area of the composite shape... WILL MARK BRAINIEST
Answer:
324.5m^2
Step-by-step explanation:
To find the area of the composite shape, divide the shape into 3 known shapes and calculate their areas.
SO, here we divide the shape into 2 triangles and 1 rectangle.
Area of rectangle = 15 x 8 = 120m^2
Area of triangle 1 = 1/2 x 7 x 15 = 52.5m^2
Area of triangle 2 = 1/2 x 9 x 8 = 4 x 9 = 32cm^2
Now, the sum of these areas = area of composite shape = 32 + 52.5 + 120 = 204.5m^2
Hope this helps.
Please mark brainiest
Good Luck
Answer: 52.5 + 36 + 120 = 208.5
208.5 m is your answer.
Step-by-step explanation: To come to this, first you have to break the composite shape into the three different shapes that you see. 2 rectangles and a triangle. From there, you simply solve the area for each individual shape and then add them together as shown in the answer.
solve the given triangles by finding the missing angle and other side lengths
Answer: the mossing angle is 57° and the missing sides are 8.8 and 10.1
Evaluate the expression for the given value(s) of the variables(s).
m-8 when m= 12
Replace m with 12 and simplify.
m-8 = 12-8 = 4
Please answer this question now
Answer:
17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Side T = t
Side V = 14
Side U = 11
The value of t can be obtained by using cosine rule as show below:
t² = u² + v² – 2uv cosT
t² = 11² + 14² – 2×11×14 cos 87°
t² = 121 + 196 – 308 × Cos 87°
t² = 300.88
Take the square root of both side
t = √300.88
t = 17.3
Therefore, the value of t is 17.3
if f(x) = 4x^2 and g(x) = x + 1, find (f - g) (x)
Answer:
4x² - x - 1
Step-by-step explanation:
(f - g)(x) = f(x) - g(x) , thus
f(x) - g(x)
= 4x² - (x + 1) ← distribute parenthesis by - 1
= 4x² - x - 1
WHAT IS THE LENGTH OF B QUICK HELP
Answer:
2 cm.
Step-by-step explanation:
The entire base is 10 cm and the top is 8 cm, so b is 10 - 8 = 2 cm.
Hope this helps!
I hope this helps you
b+8=10
b=2
1) Lynda runs the 400 meter for her school's track team. She beat her best time by 3.6
seconds in the meet today with a time of 49.3 seconds. What was her previous best time?
Lynda previous best time was 52.9 second.
Calculations:Given that, Lynda runs the 400 meter for her school's track team.
She beat her best time by 3.6 seconds in the meet today with a time of 49.3 seconds.
It means that, previous best time of Lynda was 3.6 second more than as compared to todays time.
So that,
Previous best time is, [tex]=49.3+3.6=52.9seconds[/tex]
Learn more about the time here:
https://brainly.com/question/26292783
4. Find 12 rational numbers between -1 and 2
Answer:
-0.5
-0.3
0.5
0.3
0.44
1.2
1.5
1.8
1.9
-0.9999888575
-0.344
0.5533
0.232
0.974
0.777
1.2222
PLZ HELP: Two senior customer service representatives (CSPs) and 8 junior CSRs work for IvyTech. Last week, the senior CSRs each helped 4 more custoomers than the average number of customers helped per junior CSR. If IvyTech's CSRs helped 138 customers last week, how many of those customers were helped by senior CSRs? A. 17 B. 26 C. 34 D. 42 PLZ EXPLAIN
Answer:
C. 34
Step-by-step explanation:
138-(4*2)=130
130/(2+8)=13
13+4=17*2= C. 34
hope it helps
What is the inequality shown?
Answer:
-4<n≤5
If you are using another variable just replace it in.
The information in the number line is an interval (-4,5]
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5 and it is represented as (1,5)
Given here, the line extends to -4 and ends at 5 but the it is open on the LHS and closed on the RHS and thus the interval notation is (-4,5]
Hence the interval represented in the number line is (-4,5]
Learn more about interval notation here:
https://brainly.com/question/14264237
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What is the relationship between angles 1 and 2? AB Is parallel to FG AND BC IS TO DE
Answer:
Angles 1 and 2 are supplementary.
Step-by-step explanation:
<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.
Mark me brainliest if possible. Thank you.
Please answer this in two minutes there can be more than one option
Answer:
i believe it would be the first and second options
Step-by-step explanation:
the planes RUV and RST touch at line RU
the planes RSV and RUV touch at line RV
Jeanine is selecting various albums to be displayed in the front of her music coffee house. She will be choosing 4 albums for
one part of the display. This part of the display is very prominent and she is really trying to promote jazz. There are five albums
from Diana Kroll, seven albums from Harry Connick Jr. and four albums from Michael Bublé. In how many ways can she choose
four albums for display and at least two albums are from Diana Kroll? Evaluate using both the direct and indirect method.
Gt11.2014
Answer:
The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways
Step-by-step explanation:
1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll albums is 5!/(2!(5 - 2)!) = 10 ways
Choosing the other 2 albums from the remaining 11 albums gives;
11!/(2!(11 - 2)!) = 55 ways
Total number of ways is then 10 × 55 = 550 ways
Choosing 3 from the 5 Diana Kroll albums is 5!/(3!(5 - 3)!) = 10 ways
Choosing the other 1 album from the remaining 11 albums gives;
11!/(1!(11 - 1)!) = 11 ways
Total number of ways is then 10 × 11 = 110 ways
Choosing 4 from the 5 Diana Kroll albums is 5!/(4!(5 - 4)!) = 5 ways
Choosing the other 0 album from the remaining 11 albums gives;
11!/(0!(11 - 0)!) = 1 way
Total number of ways is then 5 × 1 = 5 ways
Total number of ways = 550 + 110 + 5 = 665 ways
2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are 1 and 0 Diana Kroll albums as follows;
16!/(4!(16 - 4)!) = 1820 ways
With 1 Diana Kroll album gives
5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways
With 0 Diana Kroll album gives
5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways
Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330
Total number of ways with at least 2 Diana Kroll albums = 665 ways.
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0
In order for the parallelogram to
be a square, x=?
Answer:
7°Step by step explanation
We know that the diagonals of a square bisects it's angles and every angles of square are 90°
m<BCD = 90°
m<BCA = m< DCA = 4x + 17
m<BCA + m<DCA = m <BCD
4x + 17 + 4x + 17 = 90
4x + 4x + 17 + 17 = 90
8x + 34 = 90
8x = 90 - 34
8x = 56
X = 56/8
x = 7
Hope this helps...
Good luck on your assignment...
In square, the angle between the diagonal and the sides of the square is 45°. Then the value of x is 15.5°.
What is a square?
It is a polygon with four sides. The total interior angle is 360 degrees. In a square, opposite sides are parallel, all side are equal, and each angle is 90 degrees.
In square, the angle between the diagonal and the sides of the square is 45°.
4x + 17° = 45°
4x = 62°
x = 15.5°
More about the square link is given below.
https://brainly.com/question/13747846
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Use the general solution to solve 5 - 6x = 8x + 17
[tex]
5-6x=8x+17 \\
-14x=12\implies x=-\frac{6}{7}
[/tex]
Hope this helps.
Answer: -6/7
Step-by-step explanation: 5 - 6x = 8x + 17
5 + - 6x = 8x + 17
-6x + 5 = 8x + 17
-6x + 5 - 8x = 8x + 17 - 8x
-14x + 5 = 17
-14x + 5 - 5 = 17 - 5
-14x = 12
-14x/-14 = 12/-14
x = -6/7
The slope of a line passing through (-9, 10) and (-9, -9) is...
Answer:
0
Step-by-step explanation:
It is a horizontal line.
Answer:
undefined
Step-by-step explanation:
The slope of a line is found by
m = (y2-y1)/(x2-x1)
= (-9 -10)/(-9 - -9)
= -19/ (-9+9)
= -19/0
We cannot divide by zero so the slope is undefined
please help me I really need this
Answer:
1. A. No
2. A. Yes
Step-by-step explanation:
1. B. Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.
2. B. Because to the right side has more numbers than the left side so amber is correct