Answer:
all the statements are true
Step-by-step explanation:
The acute triangle is the triangle in which all the angles are less than 90°
While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle
Given that
p = Acute triangle
q = equilateral triangle
Based on the above explanation
The conditions are as follows
p ∨ q is true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true
p ∧ q is also true, the ∧ refers that both the statements should be true.
The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows
The last means equal and is valid if both p and q are the same as they are, so that is true too.
Hence, all the statements are true
Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)
If the slope if the line a is -4 and line a is perpendicular to line b. Which statement must be true?
Answer:1/4
Step-by-step explanation:
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.
Help. Summer school math please.
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-minus StartRoot 10 EndRoot i StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction 1 plus-or-minus StartRoot 5 EndRoot i
Answer:
[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
Step-by-step explanation:
The equation given is:
[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
From the question:
a = 2, b = -4, c = 7
Therefore:
[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]
=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
The solution of given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Given the quadratic equation:
[tex]2x^2 = 4x -7[/tex]
Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]
Here, we get a = 2, b = -4, and c = 7.
Thus, the roots can be found as:
[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Thus, the solution of the given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].
Learn here more:
https://brainly.com/question/4366363
Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is
Answer:
f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)
Quotient = x - 6
Remainder = (2x+3)/(2x^2+5)
Step-by-step explanation:
Getting x-6:
What number multiplies with 2x²+5 to get 2x³+...?
that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.
Now what number multiplies with 2x²+5 to get -12x²+ ...?
that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....
Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.
Hi, you can get 15 points if you answer this...
Answer:
Si
Step-by-step explanatio:
Answer:
idk
Step-by-step explanation:
hi
Please help.. I don't understand.. Please show workings
[tex]answer \\ = £59.25 \\ please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps[/tex]
URGENT plz help
What is the value of y?
A.44°
B.112°
C.68°
D.56°
Answer:
C. 68
Step-by-step explanation:
Explained in image attached
which two operations are needed to write the expression that repersents "four times the difference of a number and three"
Answer:
4 (x-3)hhkjcdrtuvddistheansww
What is 3x^2-10x-8 fully factored?
Answer:7678
Step-by-step explanation:
Answer:
Step-by-step explanation:
an angle inscribed in a semi circle is
Answer:
Right angle therom
Step-by-step explanation:
25.(01.05)
Given the point (5, 6) and the slope of 5, find y when x = 21. (1 point)
O 86
O 90
O 105
O 111
Step-by-step explanation:
This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:
y-y₁ = m(x-x₁)
So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:
y = m(x-x₁) + y₁
We can now simplify the equation to:
y = m·x - m·x₁ + y₁
Now we just input the given information.
m = 5 (slope)
x = 21
x₁ = 5
y₁ = 6
Now we have all the information we need and we can solve.
y = 5·21 - 5·5 + 6
y = 105 - 25 + 6
y = 86
So y, when x = 21, is equal to 86.
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
what is the slope.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is the rise over run, so...
It is 3/1 or just 3.
Step-by-step explanation:
Rise/run is slope
(2,1) is a point on the line, and so is (3,4)
Need HELP!!!!!! Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer.
Answer:
y = 1/3x - 1
Step-by-step explanation:
1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.
2. substitute the new gradient and points into y - y1 = m (x - x1)
3. rearrange/move everything to give you the equation in y = mx + c form
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
Here are seven tiles Tom takes a tile at random. He does not replace the tile. Tom then takes at random a second tile. a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.
Answer:
a) 1/21
b) 8/21
Complete question:
There are seven tiles:
1,1,3,3,3,5,5
Tom takes a tile at random. He does NOT replace the tile.
Tom then takes another tile at random.
a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.
Step-by-step explanation:
Total number of tiles = 7
Let Probability of having number 1 on the tiles = Pr (having 1)
Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)
Number of times 1 appears on tiles = 2
Pr (having 1) = 2/7
Two tiles are drawn without replacement:
Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)
= Pr (having 1) × Pr (having 1)
Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.
= 2/7 × 1/6
= 2/42
Probability of both tiles having number 1 on them = 1/21
b) If 1st tile = 1, the second tile could be = 3 or 5
The pairs = Pr(1 and 3) and Pr(1 and 5)
Where Pr = probability
The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6
Number of times 3 appears on tiles = 3
Number of times 5 appears on tiles = 2
Pr(1 and 3) = (2/7 × 3/6) = 1/7
Pr(1 and 5) = (2/7 × 2/6) = 2/21
If 1st tile = 3, the second tile = 5
Pr(3 and 5) = (3/7 × 2/6) = 1/7
If 1st tile = 5, the second tile = 0 (no number is greater than 5
Pr(5 and 0) = 0
Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)
= 1/7 + 2/21 + 1/7 + 0
= (3+2+3)/21 = 8/21
Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21
Can someone please help me
Answer:
880
Step-by-step explanation:
600miles = 3168000feet
316800/3600=880
Given the coordinates of (5,2) and (-1,2), the distance is:
A) 6
B)None of the choices are
correct.
C) 16
D) 50
Answer:
A) 6
Step-by-step explanation:
[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]
On a coordinate plane, a line goes through (negative 2, 1) and (0, negative 5) and another line goes through (0, negative 1) and (1, 0). Which of the following statements are true of the graphed system of equations? Check all that apply. The system has infinitely many solutions. A solution to the system is (–1, –2). A solution to the system is (0, –1). One of the equations is y = x –1. One of the equations is 3x + y = –5.
Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
Just took the assignment
Answer:
2, 4, and 5
Step-by-step explanation:
Got it right
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction. A multiplication table. One number is missing from the equivalent ratio, as shown. StartFraction blank Over 12 EndFraction What is the missing number?
A-6
B-18
C-24
D-36
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Can someone please help me
Answer:
1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]
2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]
3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]
Step-by-step explanation:
ESTAS SON FRACCIPONES EQUIVALENTES
1. 3(35)/7 = 15 ENTONCES 15/35
2. 48(4)/3 = 64 ENTONCES 64/48
3. 56(3)/21 = 8 ENTONCES 3/8
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? reasoning Converse Deductive Inductive Indirect
Answer:
The correct option is;
Deductive
Step-by-step explanation:
Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain
In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.
I need help pleaseeee
Answer:
8.4375
Step-by-step explanation:
multiply 2.5 times 2.25 times 1.5
lenght x width x height
Evaluate (x + y)^0for x = -3 and y = 5.
-1/2
2
1 0
Answer: 2
Step-by-step explanation:
[tex](-3+5)^0=2[/tex]
The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.
Answer:
Step-by-step explanation:
30 mm = 3 cm
[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]
Answer:
h = 15 cm
Step-by-step explanation:
V = l×w×h
h = V/l×w
= 675cm³/15cm×3cm
= 675cm³/45cm²
= 15 cm
Find the area of the following
rhombus:
5 cm
13 cm
12 cm
Answer:
Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².
Which of the following is a function?
Click on the graph until the correct graph appears.
Answer:
The correct graph should have x values that have no more than one y value.
Step-by-step explanation:
A the inputs (x values) of a function can have no more than one y value. This is a "fact" for functions. So you should click on the graph until you see a graph where every x value has exactly 0 or 1 y value.
An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.
Answer:
.116
Step-by-step explanation:
7 pink and 5 black balls. = 12 balls
P( pink) = pink balls/ total = 7/12
replace
P( pink) = pink balls/ total = 7/12
so this is true for each case
P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736
=.115788966
To 3 decimal places
.116
ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm
Answer:
15.33cm
Step-by-step explanation:
when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately it forms a right-angled triangle with sides AC and AD and hypotenuse CD.
Now, you may use Pythagoras theorem to solve:
AC^2 + AD^2 = CD^2
12.3^2 + 9.15^2 = CD^2
CD^2 = 235.0125
CD = square root of 235.0125 = 15.33cm
Hope this helps
URGENT Plz help
which of these triangles appear not to be congruent to any others shown here? Check all that apply.
A.Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
[tex]answer = \\ triangle \: b \: and \: d \: does \: not \: seems \: to \\ be \: congruent \: to \: each \: other. \: \\ explanation \\ congruent \: triangles \: are \: those \: \\ which \: are \: exactly \: same \: copy \\ of \: each \: other.they \: have \: same \: side \\ lengths \: shape \: size \: and \: angles. \\ triangle \: a \: and \: e \: seems \: to \: be \: \\ congruent. \: triangle \: c \: and \: f \: seems \: \\ to \: be \: congruent.triangle \: b \: and \: d \: \\ doesnot \: match \: with \: any \: other \: triangles. \\ hope \: it \: helps[/tex]
Answer:
triangle b & d
(Apex)