Answer:
\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}
Step-by-step explanation:
15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)
add on 2x -y as the denominator of the fraction
URGENT! The range of y=Arccosx is (-pi/2,pi/2). True or False?
false. range of [tex] \cos^{-1}(x)[/tex] is $[0,\pi]$
Derek can paddle his kayak 6 miles per hour in still water. It takes him as long to paddle 10.5 miles upstream as it takes him to travel 31.5 miles downstream. Determine the speed of the river's current.
Answer:
3 mph
Step-by-step explanation:
Let the speed of the river's current be x
Upstream (against the river's current)
Resultant velocity = 6 - x
Distance covered = (6-x)t
10.5 = (6-x)t
t = 10.5/(6-x)
Downstream (with the river's current)
Resultant velocity = 6+x
Distance covered = (6+x)t
t = 31.5/(6+x)
Therefore.......
10.5/(6-x) = 31.5/(6+x)
10.5(6+x) = 31.5(6-x)
63 + 10.5x = 189 - 31.5x
Collect like terms
42x = 126
x = 3 miles per hour
HOPE IT HELPS!
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Which equation can be used to find x, the length of the hypotenuse of the right triangle?
Answer:
[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]
To Find:
Length of hypotenuse of the right triangle i.e. x
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
[tex] \therefore [/tex]
[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]
Answer:
18²+24²=x²
Step-by-step explanation:
to answer this question you must know Pythagorean theorem
a^ 2+b^2 =c^2
a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²
hey gouys I need help on this to plz help mee
Answer:
d. 3√6 = 7.348
Step-by-step explanation:
1. simplify each expression
a. √150 / 2 = 6.124
b. π + 4 = 7.142
c. 2π = 6.283
d. 3√6 = 7.348
the largest number will be the closest to 8. therefore, point W is expression D.
49*32’55” + 37*27’15” = ?
Answer:
87°10''
Step-by-step explanation:
In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720
In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240
We now add the fractional parts plus the whole part of the angles together.
So,
49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.
We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600
86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' + 1' + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''
So, 49°32'55'' + 37°27'15'' = 87°10''
Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
The measure of angle Q in the triangle QMN is 52.83°
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:
a² = b² + c² - 2bc * cos(A)
In triangle QMN, QM = 18, MN = 17, QN = 20, hence:
17² = 18² + 20² - 2(18)(20) * cos(Q)
Q = 52.83°
The measure of angle Q in the triangle QMN is 52.83°
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Answer:
53
Step-by-step explanation:
its rounded
Will Give Brainliest, answer ASAP
Answer:
As property of a rectangle:
1. AC = 13
AC = 2 x EC (E is midpoint of AC and BD)
13 = 2 x (3x - 11)
13 = 6x - 22
35 = 6x
x = 35/6 m
2. DB = AC = 13 m( two diagonals are equal)
3. BAE = ABE = 40 degree
4. BDA = 90 - ABE = 90 - 40 = 50 (triangle ABD is a right triangle at A)
5. BC = AD = 5m (two opposite sides are equal)
6. AB = sqrt(BD^2 - AD^2) = sqrt(13^2 - 5^2) = sqrt(144) = 12 m
Perimeter = 2 x (AD + AB) = 2 x (5 + 12) = 2 x 17 = 34 m
7. Area= AD x AB = 5 x 12 = 60 m2
congruent complements theorem
Answer:
Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.
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Which transformations will change Figure A into Figure B?
Answer:
To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).
The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.
What is figure rotation?Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.
In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.
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Hint: is the picture
Alonso estimated the distance across
a river as 1232 meters. What is the
approximate distance across the river to
the nearest thousandth of a meter?
Answer:
1232.000
Step-by-step explanation:
Estimated distance across the river=1,232 meters
Find the approximate distance across the river to
the nearest thousandth of a meter
Note: Thousandth is having 3 values after the decimal point
This means we will round 1,232 meters to the nearest thousandth
1,232 is an whole number and decimal point can only be added at the end like this 1,232.
So we need 3 values after the decimal point.
We must add only values that wouldn't change the original 1,232 meters.
Therefore, zero (0) will be added
1232.000
Is to the nearest thousandth
Brian is building a wood frame around a window in his house. If the window is 4 feet by 5 feet, how much wood does he need for the frame?
Answer:
18 feet
Step-by-step explanation:
to find the frame around the widow means need to find the perimeter around the window:
P=2l+2w
P= 2(5+4)
P=18 feet
Please help I did the first 2
Answer:
x = 1.5
Step-by-step explanation:
6 - 2x = 3
→ Minus 6 from both sides to isolate -2x
-2x = -3
→ Divide -2 from both sides to isolate x
x = 1.5
plzzzz HELP ME ASAP WILL MARK AS BRAINLEIEST
Answer:
Hey there!
Part A. This is a proportional relationship because the amount of dollars she earns per hour is constant. We can divide her total income by the number of hours she works to find that she earns 12.50 dollars per hour.
Part B. Joslyn will always earn more money than Kate because she earns more money per hour, and the slope of Joslyn's line is greater.
Let me know if this helps :)
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 2 in. Find the perimeter of △ABC if AB = 12 in. PLEASE HELP ILL AWARD MORE BRAINLY POINTS
Answer:
28 inches
Step-by-step explanation:
The point of intersection of the angle bisectors is the incenter. It is the center of a circle tangent to the three sides of the triangle. The circle has radius 2.
In the attached figure, we have labeled the points of tangency D, E, and F. We know that CE and CF are both of length 2, and we know that the points of tangency are the same distance from an external point where the tangents intersect. That means DA = FA and DB = EB.
The perimeter of the triangle is ...
P = DA +DB +FA +EB +CF +CE
Using the above relations, this can be written as ...
P = DA +DB +DA +DB +CF +CE = 2(DA +DB) +2(CE)
We are told that AB is 12 inches, so DA +DB = 12 inches. We also know that CE = 2 inches, so the perimeter is ...
P = 2(12 in) + 2(2 in) = 28 in
The perimeter of triangle ABC is 28 inches.
Which of the following lists of three numbers could form the side lengths of a triangle? A. 10, 20, 30 B. 122, 257, 137 C. 8.6, 12.2, 2.7 D. 1/2, 1/5, 1/6
Answer:
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle os greater than the third side.
■■■■■■■■■■■■■■■■■■■■■■■■■■
First triangle:
Let a,b and c be the sides of the triangle:
● a = 10
● b = 20
● c = 30
Now let's apply the theorem.
● a+b = 10+20=30
That's equal to the third side (c=30)
●b+c = 50
That's greater than a.
● a+c = 40
That's greater than b.
These aren't the sides of a triangel since the first inequality isn't verified.
■■■■■■■■■■■■■■■■■■■■■■■■■
Second triangle:
● a = 122
● b = 257
● c = 137
Let's apply the theorem.
● a+b = 379
That's greater than c
● a+c = 259
That's greater than b
● b+c = 394
That's greater than a
So 122,257 and 137 can be sides of a triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
The third triangle:
● a = 8.6
● b = 12.2
● c = 2.7
Let's apply the theorem:
● a+b = 20.8
That's greater than c
● b+c = 14.9
That's greater than a
● a+c = 11.3
That isn't greater than b
So theses sides aren't the sides of triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● a = 1/2
● b = 1/5
● c = 1/6
Let's apply the theorem.
● a+b = 7/10
That's greater than c
● a+c = 2/3
That's greater than b
● b+c = 11/30
That isn't greater than a
So these can't be the sides of a triangle.
which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a phone number D. Length of a fish
A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.
Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.
Discrete random variable:A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.
Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.
Some more examples of Discrete random variables are:No. of girls in a family,
No. of outcomes of the head when two coins are flipped.
No. of defective street lights out of 100 bulbs in a certain area.
No. of the possible outcome of getting 4 when a dice is thrown twice.
Wrong answers with explanation:The weight of a child changes as the child grows. So, it cannot be a discrete random variable.
The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.
The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.
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10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is
− 320− 320
320320
640640
− 352 − 352
Answer:
- 320Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]
5. Name the property of real numbers illustrated by the equation. (-2)(3 + ) = (-2)( + 3)
Answer:
Commutative property
Step-by-step explanation:
You can switch the places of -2 and 3 without changing the output.
This property is called the commutative property
In a given set of items, the mode is items which ?
a. appears first
b. appears fewest
c. appears farthest
d. appears most
Answer:
d. appears most
Step-by-step explanation:
Mode is the number that appears the most often in a set of data
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
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Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9
Answer:
x = 5√3 inchesStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
[tex] {10}^{2} = {5}^{2} + {x}^{2} [/tex]
[tex] {x}^{2} = {10}^{2} - {5}^{2} [/tex]
[tex] {x}^{2} = 100 - 25[/tex]
[tex] {x}^{2} = 75[/tex]
We have the final answer as
x = 5√3 inchesHope this helps you
Figure A is a scale image of Figure B. What is the value of x?
please answer asap!
Answer:
[tex]\huge \boxed{x=30}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]
[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]
[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]
[tex]\sf Simplify \ the \ equation.[/tex]
[tex]\displaystyle \frac{810}{27} =x[/tex]
[tex]30=x[/tex]
A map is drawn using 2cm:100 mi. On the map town B is 3.5 cm from town a in town see is 2 cm past town be how many miles apart or town a in town c
Answer:
275 miles
Step-by-step explanation:
I assume all towns are on the same line. Then, town C is 5.5 cm from town A on the map since 3.5 cm + 2 cm = 5.5 cm.
The real distance can be calculated with a proportion.
2/100 = 5.5/x
2x = 5.5 * 100
2x = 550
x = 275
Answer: 275 miles
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
Answer:
A. 10.125 minutes
Step-by-step explanation:
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
A. 10.125 minutes
B. 10.125 seconds
C. 10.12 seconds
D. 10.1 seconds
The stopwatch measures time to the hundredth of a second.
Option A. Measures the time to thousandth of a minutes
Option B. Measures time to thousandth of a second
Option C measures time to hundredth of a second
Option C measures time to tenth of a second.
Option A. 10.125 minutes is the quantity which is not possible using the stopwatch because it is in MINUTES.
Option B 10.125 seconds can be rounded up to 10.13 seconds (hundredth of seconds).
15 points! :( help asap!:(
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
You can plug in x and y into the equations to see if it works.
(-1,5)
2(-1)-(-5)=-2+5=3 Yes
(-1)+2(-5)=-1-10=-11 No
So (-1,5) Does NOT work.
(0,3)
2(0)-(-3)=0+3=3 Yes
(0)+2(-3)=0-6=-6 Yes
So (0,-3) DOES work.
[tex] \frac{w}{ -6} = 6[/tex]
I cant figure out the answer
4/10=x/1 Need help thx
Answer:
2/5 =x
Step-by-step explanation:
4/10 = x/1
4/10 =x
Simplify
2/5 =x
Answer:
x=0.4
Step-by-step explanation:
4/10=0.4
x/1 has to equal 0.4 too
0.4/1
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
A. 7[tex]\sqrt{2}[/tex]
B. [tex]\frac{7\sqrt{3} }{2}[/tex]
C. [tex]7\sqrt{3}[/tex]
D. [tex]\frac{7\sqrt{2} }{2}[/tex]
Answer:
7 sqrt(2)/2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/7
7 sin 45 =x
7 sqrt(2)/2 =x
Answer:
[tex]\large \boxed{\mathrm{D. \ \displaystyle \frac{7\sqrt{2} }{2 }}}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
[tex]sin \theta = opp/hyp[/tex]
The opposite side to the angle 45 degrees is x and the hypotenuse of the triangle is 7.
[tex]sin 45 = x/7[/tex]
Multiply both sides of the equation by 7.
[tex]7 sin 45 = x[/tex]
Simplify the value.
[tex]\displaystyle \frac{7\sqrt{2} }{2 }=x[/tex]
please hurry!!!! Show that (2, 1) is a solution of the system of equations. x + 3y = 5, y = –x + 3 Substitute (2, 1) into x + 3y = 5 to get 1 + 32 = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get . Simplify the equation to get .\
Answer:
see below
Step-by-step explanation:
x + 3y = 5,
y = –x + 3
Substitute the point into each equation and verify that it is true
x + 3y = 5, 2 +3(1) = 5 5 = 5 true
y = -x +3 1 = -2+3 1=1 true
(2,1) is a solution
Answer:
D,A,A,A,
Step-by-step explanation:
that's the real answer
1d
2a
2a
2a
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