Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool? 4 meters 4 meters 8 meters 8 meters 12 meters 12 meters 24 meters
Answer:
Length = 16 meters
Width = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
length = x
Width = (x - 4) meters
Perimeter of the rectangular pool = 56 meters
Perimeter of a rectangle = 2(length + width)
56 = 2{x + (x - 4)}
56 = 2(x + x - 4)
56 = 2(2x - 4)
56 = 4x - 8
56 + 8 = 4x
64 = 4x
x = 64/4
x = 16
length = x = 16 meters
Width = (x - 4) meters
= 16 - 4
= 12 meters
Find the value of x. Round to the nearest tenth.
Answer:
x = 7
Step-by-step explanation:
First we find out what we are using sin,cos, or tan then we plug in the numbers
Sin 26 x 16 = 7
Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
I NEED HELP SOMEONE HELP ME OUTTT!!
Which function is represented by the graph?
5
4
3
2
Of(x) = -x - 3] + 4
f(x) = -x + 3 + 4
f(x) = -x + 4 + 3
f(x) = -x + 4 + 3
-5 A-3 -2 -1 2 3 4 5
2+
-3
45
Step-by-step explanation:
The correct answer is f(x)=3^(x+3)
What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ2
If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?
Answer:
are you asking how many points are needed to get 90% in
a class that has a total of 3400 points ?
id so that is : 3060
Step-by-step explanation:
can anyone help me here asapp,, I am in this question for nearly an hour
Answer:
See below
Step-by-step explanation:
Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:
AB^2 - BD^2 = AD^2
We have the values of AB and BD, so we can substitute them and solve for AD:
x^2 - (x/2)^2 = AD^2
x^2 - x^2 / 4 = AD^2
AD^2 = 3x^2 / 4
AD = x√3 / 2
DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:
AD^2 + DE^2 = AE^2
(x√3 / 2)^2 + x^2 = AE^2
3x^2 / 4 + x^2 = AE^2
AE^2 = 7x^2 / 4
AE = x√7 / 2
Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4
Therefore, we can come to the conclusion AE^2 = 7 EC^2
help please!!! :)
2x + 6 = 4x - 2
Answer:
[tex]2x + 6 = 4x + -2[/tex]
[tex]\Longrightarrow2x+6-6=4x-2-6[/tex]
[tex]\Longrightarrow 2x=4x-8[/tex]
[tex]\Longrightarrow 2x-4x=4x-8-4x[/tex]
[tex]\Longrightarrow -2x=-8[/tex]
[tex]\Longrightarrow \frac{-2x}{-2}=\frac{-8}{-2}[/tex]
[tex]\hookrightarrow \underline{ANSWER: x=4}[/tex]
-------------------------
hope it helps...
have a great day!!
What is the domain of f(x)=(1/4)^
c ans
...................
Solve 4x + 11 = k for x.
O A. x= -11
O B. x=-11
O C. x = 4k - 44
D. x= k-7
Answer:
4x + 11 = k
<=> 4x = k - 11
<=>
[tex]x = \frac{k - 11}{4} [/tex]
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 1
2x - y = 3
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 2x - (2x + 1) = 3[Distributive Property] Distribute negative: 2x - 2x + 1 = 3Combine like terms: 1 ≠ 3Answer:
The system has no solution.
Step-by-step explanation:
y = 2x + 1
2x - y = 3
substitute the given value of y into the equation 2x - y = 3.2x - ( 2x +1) = 3
Distribute minus sign.2x - 2x + 1 = 3
Combine like terms.1 ≠ 3
Since system has no solution for x, the system has no solution.
What is the solution of ?
Answer:
x=12 is the answer
Step-by-step explanation:
[tex] \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \frac{10}{4} x - \frac{3}{4} x = 21[/tex]
[tex] \frac{7}{4} x = 21[/tex]
[tex]x = 21 \div \frac{7}{4} [/tex]
[tex]x = 21 \times \frac{4}{7} [/tex]
[tex]x = 3 \times 4[/tex]
[tex]x = 12[/tex]
help me with this please
Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?
Answer:
401 a week
Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195 if he works for 40 hours the equation would be x=ab+c X is the week, A is the money per hour, B is the amount of hours and C is the tip X= 5.15(40)+195 5.15 times 40 is 206 then 206+195 is 401 which is your answer
If a = ba and b = 2a, what is the value of a + b?
a = ba
1 = b
Since b = 1,
b = 2a
1 = 2a
a = 0.5
Therefore,
a + b = 0.5 + 1
a + b = 1.5
in a survey group of people 50% like to listen radio and 60% like to watch the television if 30 person of the middle listen to the radio not was the television and find the number of people who like to listen both the radio and television with a Venn diagram
Answer:
15 and 18 i hope it will help you
Can someone help me with this math homework please!
Step-by-step explanation:
these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.
come on ! are you really not understanding this ?
I think you are not trying to learn and get better, you try to get others doing your work for you.
these problems are so simple that stating them here costs you more time than just solving them.
remember fractions ?
remember the problems to find the smallest common denominator for a list of fractions ?
the first question is exactly that.
what is the smallest common denominator of 3/4, 1/3 and 1/2 ?
because that is the number you need to multiply both sides to eliminate all fractions.
so, what is the smallest number that can be split by 4, 3 and 2 ?
is it 2 ? no, 4 and 3 can't do that.
is it 3 ? no, 2 and 4 can't do that.
...
is it 6 ? no, 4 can't do that.
...
is it 8 ? no, 3 can't do that.
...
is it 12 ? yeah ! all 3 can do that.
here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.
here it would be
2×3×4 = 24
but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.
"isolate the variable" means having it only on one side of the equation.
so, what do you think ?
subtracting any constants does not change anything for "j".
from all the offered options only the subtraction of 1.1j eliminates j from one side.
the runners save.
you only need to translate the words into the corresponding mathematical symbols.
runner 1 has $112 already saved.
that is our starting value for this runner.
so, 112 + ...
received a $45 gift card. so, $45 are added.
so, 112 + 45 + ...
saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.
so, 112 + 45 + 25m
we know already, it is the second option.
but for training purposes let's look at runner 2 too :
he starts with $50 already saved.
so, 50 + ...
saves $60 each month (m). same principle as above.
so, 50 + 60m
if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.
-3x + 1 + 10x = x + 4
how do we solve this ?
by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).
1 + 7x = x + 4
1 + 6x = 4
6x = 3
x = 3/6 = 1/2
hurray, it is the first option !
Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*
Given:
The expression is:
[tex]b^2+20b[/tex]
To find:
The a monomial so that the trinomial may be represented by a square of a binomial.
Solution:
If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.
We have,
[tex]b^2+20b[/tex]
Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].
[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]
[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]
Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.
pls help beestar is not fun
the ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?
Answer:
There are 18 girlsStep-by-step explanation:
explanation given in the image ❣️◕Jess bregoli◕❣️#keep learning!!Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by
Answer: random events
Step-by-step explanation:
Based on the information given in the question, the scenario can be best explained by a random event.
Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.
From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.
Can someone help with this problem
which one.
................................
Step-by-step explanation:
................
Answer:
x = 15
Step-by-step explanation:
If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then
2x + 10 + 4x + 80 = 180 , that is
6x + 90 = 180 ( subtract 90 from both sides )
6x = 90 ( divide both sides by 6 )
x = 15
If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?
Answer:
70 degrees
Step-by-step explanation:
Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:
110+ x = 180
x = 70
Answer:
70°
Step-by-step explanation:
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
Please answer this to the best of your ability
Answer:
For this exercise we need to solve the next equation:
3 +6x = 2x + 27
We can start substracting 3 at both sides:
3 + 6x - 2 = 2x + 27 - 3
6x = 2x + 25
And then, we can substract 2x::
6x - 2x = 2x + 24 - 2x
4x = 25
Then, we divide by 4:
4x/4 = 24/4
x = 24/4 = 6
Now, we can see if we have done it correctly:
3 + 6*6 = 39
2 * 6 + 27 = 39
And we have seen our result is correct
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Step-by-step explanation:
The solution and answer are well written in the Pic above.
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Find the scale factor for the given two similar rectangles.
A. 1/3
B. 1/4
C. 1/5
D. 1/6
HELPPPPP!!!!!!!!!!!!
Answer: A) 1/3
Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9
The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)
NO LINKS!!! JUST ANSWER PLS AND ILL GIVE BRAINLIEST