Sides of a triangle are of the ratio 2:3:4. If the perimeter of the triangle is 90 cm, what is the area of the triangle?
Answer:
this might help you....
The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.
What is perimeter of a triangle?The perimeter of a triangle is the sum of the whole sides of the triangle.
Therefore, the perimeter is given as follows:
perimeter = 90 cm
Hence, the sides can found as follows:
2 / 9 × 90 = 20 cm
3 / 9 × 90 = 30 cm
4 / 9 × 90 = 40 cm
Area = √s(s-a)(s-b)(s-c)
where
a, b and c are the sidess = semi perimeterHence,
s = 90 / 2 = 45
a = 20 cm
b = 30 cm
c = 40 cm
Therefore,
area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)
area of the triangle =√45(25)(15)(5)
area of the triangle = √84375
area of the triangle = 290.473750966
area of the triangle = 290. 47 cm²
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A package of 4 pairs of insulated gloves costs $31.16. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
Answer:
$7.79 per pair of gloves
Step-by-step explanation:
divide
31.16÷ 4 = 7.79
Find the distance between each pair of points (-2,3) , (-7, -7)
Answer:
D = [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]
-8(7x+8)=-8x+34 i need help solving this equation .
Answer:
x = -49/24
Step-by-step explanation:
The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.
-8(7x+8) = -8x + 34
-56x - 64 = -8x + 34
Next, we should add 8x to both sides of the equation.
-48x - 64 = 34
Next, we can add 64 to both sides of the equation.
-48x = 98
Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.
x = -98/48 = -49/24
Therefore, the correct answer is -49/24.
Hope this helps!
Factor each Polynomial. 3x² + 28x + 32=
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]
[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]
4(2x + 9) = - 17+ 13
Answer:
x= -5
•use photomath it gives you answers to these kinds of math problems. hope this helped:))
Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fee. How many months will it take for the cost of both gyms to be the same? And what is the cost of the gyms during that number of months
Answer:
6 months
Step-by-step explanation:
What does 4 tens and 10 ones represent?
Answer:
50
Step-by-step explanation:
Step 1:
40 + 10
Answer:
50
Hope This Helps :)
2x^3 + x^2 – 7x – 6 divided by 2x +3
Answer:
x^2 -x -2
Step-by-step explanation:
Use polynomial long division.
0 + x^2 -x -2
___________________________________
(2x+3) | 2x^3 +x^2 -7x -6
-2x^3 -3x^2
_________
-2x^2 -7x
+2x^2 +3x
__________
-4x -6
+2x +6
_______
0
What are the equivalent expressions for aº and a " ? Why do
these rules work?
Graphs of functions on the interval [0, 4] are depicted below. For each function, find its maximum and minimum values.
The maximum value is:
The minimum value is:
Answer:
To find the extremes, we must see the graph.
The maximum will be the value where the value of y is the greatest.
We can see that the graph peaks at y = 3.
Then the maximum is 3.
The minimum is the value of y that is the lowest.
We can see that in the left side, when x = 0, y takes the lowest value, y = -1
Then the minimum in the interval is -1.
The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.
Nerissa has 5 pink bows,1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow form the box.
What is the probability nerissa will choose a purple bow?
[tex] {3}^{a} = \frac{1}{9} [/tex]
[tex] {3}^{b} = 9 \sqrt{3} [/tex]
[tex] {3}^{c} = \frac{1}{ \sqrt{3} } [/tex]
Work out the value of a + b + c
What is the answer to X(x+7)
Answer:
[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x(x + 7)}[/tex]
Distribute x through the parentheses
[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]
Hope I helped!
Best regards! :D
HELP I'M GONNA FAIL
Answer:
1/10
Step-by-step explanation:
7000/70000=1/10
2gallon container of window cleaner costs $15.04. What is the price per cup?
Answer:0.47 cents per cup
Step-by-step explanation:
Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer
Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
Answer:
the answer is reflective
Step-by-step explanation:
Answer:
A). reflexive
Step-by-step explanation:
The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!
Given A (-3,5) and B (6,7) find AB
Answer:2/9
Step-by-step explanation:
AB=[tex]\frac{7-5}{6+3}[/tex]
=[tex]\frac{2}{9}[/tex]
Which expression is equivalent to this polynomial expression?
(8x2y2 – 9x2y + 9y) – (6x2y – xy2 + 4y)
Answer: 8x2y2−15x2y+xy2+5y
Step-by-step explanation: option B or D i cant really see the screen, sorry
Please helpp!! What are the steps for using a compass and straightedge to construct the bisector of ∠G? Two rays share a common endpoint labeled G, forming an obtuse angle. One ray is horizontal and points right. The second ray is inclined to horizontal in upward-left direction. Drag the steps and drop them in order from start to finish.
Answer:
Use the straightedge to draw GK−→−. Place the point of the compass on point H and draw an arc in the interior of the angle. Label the intersection of the arcs in the interior of the angle as point K. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.
Solve the quadratic equation.
x^2 = -8x - 7
A. {7, -1}
B. {-1, -7}
C. {8,1}
D. {7,1}
E. (-8, -1}
Answer:
B, (-1, -7)
Step-by-step explanation:
what is y 5(y -10)=-5
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
We move all terms to the left:
5(y-10)-(-5)=0
We add all the numbers together, and all the variables
5(y-10)+5=0
We multiply parentheses
5y-50+5=0
We add all the numbers together, and all the variables
5y-45=0
We move all terms containing y to the left, all other terms to the right
5y=45
y=45/5
y=9
The value of y = 9 is correct. Therefore, the solution is y = 9.
To solve the equation 5(y - 10) = -5 for y, follow these steps:
Step 1: Distribute the 5 on the left side of the equation:
5y - 50 = -5
Step 2: Move the constant term to one side by adding 50 to both sides:
5y - 50 + 50 = -5 + 50
Step 3: Simplify the left side and evaluate the right side:
5y = 45
Step 4: Isolate y by dividing both sides by 5:
5y / 5 = 45 / 5
Step 5: Simplify and calculate y:
y = 9
The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:
5(9 - 10) = -5
5(-1) = -5
-5 = -5
Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.
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An item has a listed price of $95. If the sales tax rate is 9%, how much is the sales tax (in dollars)?
Select the correct answer from each drop-down menu. cos2x-cos4x/sin2x+sin4x cos2x+cos4x/sin2x-sin4x
Select the correct answer from each drop-down menu.
cos2x-cos4x/sin2x+sin4x = tan x
cos2x+cos4x/sin2x-sin4x = -cot x
The trigonometric equations have value tan x, -cot x .
What is a Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
The trigonometric equation is
(cos 2x - cos 4x )/(sin2x +sin4x)
cos A + cos B = - sin (A+B)/2 sin(A-B)/2
sin A - sin B = sin( A+B)/2 cos (A-B)/2
= (-sin 3x) sin ( -2x)/2)/( cos 3x cosx)
= sin 3x sin x/ (sin 3x) cos x
= tan x
The other equation is
(cos 2x +cos 4x)/(sin 2x- sin4x)
= cos 3x cosx/ cos3x sin(- x)
= - cot x
To know more about Trigonometric Ratios
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One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)
Answer: (3x2 − 2x + 5)
Step-by-step explanation:
The other factor of the polynomial (3x+5) and (x-1).
What is long division method?Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.
Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).
Using long division method, we get
2x+1|6x³-x²+8x+5|3x²+2x-5
(-)6x³+3x²
_____________
-4x²+8x+5
4x²+2x
_____________
10x+5
-10x-5
_____________
0
Now, the factors of quotient 3x²+2x-5 are
3x²+5x-3x-5
= x(3x+5)-1(3x+5)
= (3x+5)(x-1)
Therefore, the other factor of the polynomial (3x+5) and (x-1).
Learn more about the long division method here:
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Which expressions are polynomials??
Answer:
Options (1) and (2)
Step-by-step explanation:
Properties of a polynomial,
1). A polynomial having division by a variable can't be defined as a polynomial.
Example:
(y² + [tex]\frac{x}{1+x}[/tex])
2). A polynomial can't have a negative exponent.
Example : [tex](x^{-2}+y-6)[/tex]
3). Polynomials don't have the radicals.
Example : y² + x√3
4). A polynomial can't have a fraction exponent.
Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]
By these properties, Options (3) and (4) are not the polynomials.
Options (1) and (2) are the correct options.
First step in copying an angle?
Answer:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Step-by-step explanation:
These are the steps to copying an angle
I hope this helps you :)
Answer:
make a point p
hope this helps
Solve for x.
[tex] - 2(6 + x) = 18 - 3x[/tex]
x = [?]
Simplify 7N - 2N + 3P + 2P.
Answer:
5N+5P
Step-by-step explanation:
7N-2N=5N
3P+2P=5P
Combine like terms to reach the top of the pyramid by clicking and dragging
the expressions into the correct spots. The 1st one is done for you.
Sorry answered for more points for more questions I'm so sorry.