Answer:
[tex]x=2\sqrt5[/tex]
Step-by-step explanation:
I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.
The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.
Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:
[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]
(where we obviously took only the positive root since x is a lengtth measure.
10. What is the coefficient of the X^3 term
of the product?
Answer:
This matrix is amplified by exponential sequencing
What does the STO button on a calculator do?
Answer:
The STO button stands for store so it will save the number in the memory and to get it back press m
State if the two triangles are congruent. If they are, state how you know.
Answer:
AAS stand for "angle,angle,side" and means that we have two triangles where we know two angles and non- include side are equal.if two angles and the non include side of one triangle are equal to the corresponding
angles and side of another triangle, the triangle are congruent..
and the answer is B. not congruent
Joshua is a year older than his sister McKay. The product of their ages is 33 more than 7 times Joshua’s age. How old are Joshua and McKay?
Answer:
Joshua is 11 and Mckay is 10.
ial
Some of these numbers have been rounded to one decimal place to give 7.8. Circle all
the possibilities
7.741
7.81
7.85
7.749
7.809
Answer:
7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809
pls help I am not very good at math.
Answer: Its D
Step-by-step explanation:
Thank me later.
Answer:
D
Step-by-step explanation:
4x - 12 - x ≥ 3
Add 12 to both sides.
4x - x ≥ 15
Subtract x (or 1x) from 4x
4x - x = 3x
3x ≥ 15
Divide both sides by 3.
x ≥ 5
Hope I helped :)
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someone please help:)
Answer:
D, B, E
Step-by-step explanation:
Try plotting the graph on desmos
PLEASE HELP ME ASAP!!
Answer: 121 meters
Step-by-step explanation:
In picture
1/5 divided by -1/14?
Answer:
-2.8 or -14/5
Step-by-step explanation:
To divide one fraction by another, there is a really cool method called Keep Change Flip
Keep the first fraction
Change the division sign to multiplication
Flip the numbers on the last fraction
Let's try it out.
Keep the 1/5
Change the ÷ to a ×
Flip the -1/14 to a -14/1
1/5 × -14/1
Multiply the top numbers by each other first
1 × -14 = -14
Now the bottom numbers
5 × -1 = -5
The fraction we have now is -14/5
It can also be written as -2.8
What adds to the bottom number but also multiplies to be the top?
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Please show steps. Thanks in advance!
Divide:
[tex]4x^3+2x^2+3x+4[/tex] ÷ [tex]x+4[/tex]
[tex]-3x^3-2x^2-x-2[/tex] ÷ [tex]x-2[/tex]
Answer:
x^3+2x+2+2/x
Step-by-step explanation:
5E. Express the given fraction below in the simplest form.
Answer:
9/10
Step-by-step explanation:
3 1/3 can be written as 10/3
then we have 3/10/3 we then have 3x3/10 which equals 9/10.
In the given figure, O is Center of circle. If AC//DB and angle ABC=50 , find angle ACD
Answer: 40 degrees
Step-by-step explanation:
evaluate 2a(b + 8) if a = 3 and b = 5. A. 33 B. 38 C. 65 D. 78
Answer: 78
Explanation: Whenever we deal with an evaluation problem, make sure to always use parenthses when substituting numbers in for variables.
Notice that we have a set of parenthses in our original problem.
To avoid the confusion of having too many sets
of parenthses, let's change the parenthses to brackets.
So we have 2(3) [(5) + 8].
Simplifying from here, we have (6) [(13].
Multiplying, we get 78.
Answer:
D.
Step-by-step explanation:
6*13=78
Choose the inequality that represents the statement.
You must get a 90 or higher to pass the course.
Answer:
C
Step-by-step explanation:
C because the symbol means Greater then or Equal too
So anything 90 or above would be true
if the foci of an ellipse are the same ordered pair, is the comic a circle?
Answer:
yes
Step-by-step explanation:
find the value of each variable
Answer:
x = 7
y = 7√3
Step-by-step explanation:
Formulas : -
sin θ = opposite side / hypotenuse
When θ = 60,
Opposite side = y
Hypotenuse = 14
sin 60 = y / 14
√3 / 2 = y / 14
y = √3 x 14 / 2
= √3 x 7
y = 7√3
When θ = 30,
Opposite side = x
Hypotenuse = 14
sin 30 = x / 14
1 / 2 = y / 14
x = 1 x 14 / 2
= 1 x 7
x = 7
Note : -
The value of,
sin 30 = 1 / 2
cos 60 = 7√3
Circle the equation and put an X through the non-equations
a. 3+4=x
b. 2x-5=20
c. 3+2=x+7
d. 3x-4
Answer:
a, b, c are all equations d non equation
Step-by-step explanation:
If you deposit $5000 into an account that pays 3% annual Interest compounded -annually, how much money will you have after 2 years?
Answer:
$5130.84
Step-by-step explanation:
100 + 3 = 103%
103% = 1.013
$5000 x 1.013^2 = $5130.84
Hope this helps!
Malik claims that a 120° angle and side lengths of 3 cm
and 4 cm can form more than one unique triangle. He
draws these triangles as proof. Is Malik correct? Explain
why or why not.
A 120° angle and the side lengths can form more than one unique triangles
Malik's claim about the triangle is true
How to prove or disprove Malik's claim?From the question, we have Malik's claim to be:
A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle
The above claim is true;
This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths
This means that there are at least two unique triangles that can be formed using the given parameters
Hence, Malik's claim about the triangle is true
Read more about unique triangles at:
https://brainly.com/question/17972372
If the circle has a diameter of 2 inches, then it has a circumference of 6.28 inches.
Answer:
True, the diameter=2in and the circumference=6.28
Step-by-step explanation:
The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).
Thus, 6.28 = 2 x pi x r
Solving for r: 6.28/(2 x pi) = r
or: 6.28/(2 x 3.14) = 6.28/6.28 = r
thus r = 1 and since the diameter equals 2 x r, the diameter is 2.
A path 5m wide runs along inside a rectangular field. The length of the rectangular field is three times the breadth of the field. if the area of the path is 500m2, then find the length and breadth of the field..
Answer:
Length = 45m
Breadth = 15m
Step-by-step explanation:
Dimensions of Rectangular field:
Let the breadth (B)=BC = x m
Length (L) = AB = 3x m
width of the road (w) = 5 m
Dimensions of inner rectangle:
length (l) = EF = L-2w
= 3x - 2×5
= (3x-10) m
breadth (b)=EH = B-2w
= (x-10) m
Given ,
Area of the path =500 m²
=> Area of ABCD - Area of EFGH = 500
=> L×B - l×b=500
=> (3x)× x - (3x-10)(x-10)=500
=> 3x²-(3x²-30x-10x+100)=500
=> 3x²-3x²+30x+10x-100=500
=> 40x=500+100
=> 40x = 600
=> x = 600/40
=> x = 15
Therefore,
Length (L) = 3x = 3×15 = 45m
Breadth (B) = x = 15m
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(x + y)/(x ^ 2 + xy + y ^ 2) + (x - y)/(x ^ 2 - xy + y ^ 2) - (2y ^ 3)/(x ^ 4 + x ^ 2 * y ^ 2 + y ^ 4)
Answer:
If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)
Step-by-step explanation:
1. Which container could logically have a capacity of 1,000 liters?
A. Kitchen sink
B. Bathtub
C. measuring cup
D. Hot tub.
Answer:
D. hottub
Step-by-step explanation:
What is the true solution to 3 l n 2 l n 8 = 2 l n (4 x) x = 1 x = 2 x = 4 x = 8
The true solution of the [tex]\rm 3log2+log8=2log(4x)[/tex] is 2.
It is given that the:
[tex]\rm 3log2+log8=2log(4x)[/tex]
It is required to find the value of [tex]\rm x[/tex].
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
Some properties of Logarithm:
[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]
We have:
[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]
Thus, the true solution of the given expression is 2.
Learn more about the Logarithm here:
https://brainly.com/question/163125
Answer: B
Step-by-step explanation:
Simple because Im the man the simple
At Marco's Pizza House it costs $4.00 to make a small
pizza. If they intend to mark-up the pizza by 80% what
will the cost be for customers?
A. $4.32
B. $4.80
C. $7.20
D. $32.20
Answer:
7.20 dollars
multiply $4 and 80%
then add ur answer with 4
Step-by-step explanation:
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What is the missing value for x on the diagram below? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
it's radius is 6 so diameter is 12 .
12^2+x^2=15^2
144+x^2=225
x^2=111
x=underradical111
a train is moving at a uniform speed of 80 kilometre per hour.
a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.
A train is moving at a uniform speed of 80 kilometre per hour.
a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.
Explanation -:a)
Given that the train is moving at a uniform speed of 80 km/h.
Time taken = 15 minutes
First we will convert the time
[tex] \small \sf Time \: taken = 15 min = \dfrac{ \cancel{15}}{ \cancel{60}}hr = \dfrac{1}{4}hr [/tex]
Now we will calculate the distance
We know,
[tex] ✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }[/tex]
Distance covered in 15 minutes = 20 km
[tex] \rule {40mm}{2pt}[/tex]
b)
Given that the train is moving at a uniform speed of 80 km/h.
Distance covered = 250 km
Calculating the time
We know,
[tex] ✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }[/tex]
[tex] \star \: \small\sf{ Final \: Answer }[/tex]
Distance = 20 kmTime = 3 hrs 20 minutes[tex] ••═════════════••══════[/tex]
Mansi ran 5,651 meters on Monday and 4,695 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Answer:
956
Step-by-step explanation:
Solve the absolute value equation, [x] – 2 = 5.
Answer:
x=7
Step-by-step explanation:
Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.
x-2=5
(add 2 on both sides)
x=7