Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
Which function does this graph represent?!? I’ll mark yours expert verified whoever helps plss 60 points
Answer:
B) [tex]f(x)=-3(x+1)^2+2[/tex]
Step-by-step explanation:
Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.
Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].
This means that B is the correct function that represents the graph.
Need help! will award brainiest
Find the slope of a line that goes through the points (2, 5) and (-4, 3)
Answer:
[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]
Explanation:
[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]
Find slope:
[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]
insert values
[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer: -1/3
Step-by-step explanation:
The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.
If the cost of labor in the united states is five times greater than the cost of labor in
asia, how much would it cost to produce a pair of nike athletic shoes in the united
states? assuming that all other costs remain the same and the shoes would still sell for
$65 a pair, what would be the percentage difference in profit realized
Therefore the percentage difference in profit realized will be 66.67 % .
What is Profit ?Profit, is net income earned after subtracting all dollar costs from total revenue.
In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.
Suppose all the charges for making the shoes is x (other than the labour charge)
Labor charge in Asia is y
And as given in the question Labor Charge in United States is 5y
The final cost off the shoes is $65
Profit in asia = (65-x-y)
Profit in United States = (65-x-5y)
Let's use trial and error method to understand this
suppose the making cost is x = $10 and the labor charge in asia is $5 per shoes so
Profit in Asia = 65-10-5 = $50
Profit in United Stated = 65- 10-25 = $30
the percentage difference in profit realized
= (50-30) * 100 /30
= 2000/30 = 200/3 = 66.67%
Therefore the percentage difference in profit realized will be 66.67 % .
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An arc subtends a central angle measuring \dfrac{3\pi}{5}
5
3π
start fraction, 3, pi, divided by, 5, end fraction radians.
What fraction of the circumference is this arc?
Answer:
3/10 of the circumference
Step-by-step explanation:
Take the fraction between the central angle and the total degree measure of the circle, which is 2π.
(3π/5)/2π3π/10π3/10 of the circumferencei just need the edges, correct answer gets brainliest
Answer:
28
Step-by-step explanation:
counting all the lines pretty much
Answer:
its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)
which of the following is equivalent to 10x+15
10(x+5)
10(x+15)
5(2+3)
5(2x+3)
Answer:
The last one 5(2x + 3)
Step-by-step explanation:
5 × 2x = 10x
5 × 3 = 15
10x + 15
Stuck. Please help me
If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Let L be the length of the rectangle and W be the width of the rectangle.
Then we have
4W + 3L = 33 ...1
2W + L = 13 ...2
Then by the equations 1 and 2, we have
W = 3 and L = 7
Then the perimeter of the rectangle will be
Perimeter = W + L
Perimeter = 3 + 7
Perimeter = 10 cm
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venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem
type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6
Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door
An equation for the line
Answer:
y=-1/3x
Step-by-step explanation:
if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom
I need help!! Thanks
[tex]\text{Given that,}~ f(x) = 3x+5~ \text{and}~ g(x)=\sqrt{x^2 +3}\\\\(g \circ f)(-1)\\\\=g(f(-1))\\\\=g(3(-1) +5)\\\\=g(-3+5)\\\\=g(2)\\\\=\sqrt{2^2+3}\\\\=\sqrt{4+3}\\\\=\sqrt{7}[/tex]
Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1
Answer:
60
Step-by-step explanation:
The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is 60.
What is Substitution?
Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.
3x² + 4y⁰(x - 1)
Therefore,
y⁰ = 1
3x² + 4y⁰(x - 1)
3x² + 4y⁰(x - 1)
3x² + 4(x - 1)
3x² + 4x - 4
Therefore, when x = 4 and y = 5
3(4)² + 4(4) - 4
48 + 16 - 4 = 60
HOPE THIS HELPED!
Answer:
B
Step-by-step explanation:
You decide to buy a tablet for college. The tablet you want is currently on sale for 29% off the original price. If the original price was $899, what is the current price? Round your answer to the nearest cent (2 decimal places).
Answer:
638.29
Step-by-step explanation:
This is the answer because 29 percent of 899 is somewhere around 260.71
Substract that and you get 638.29
The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answer:
4.5 %
Step-by-step explanation:
Answer:
4.5%
Explanation:
1) red = 3
2) green = 4
3) blue = 5
Total bumper cars: (3 + 4 + 5) = 12 cars
Michelle gets red car:
3/12 = 1/4Remaining red cars: 3 - 1 = 2
Remaining total cars: 12 - 1 = 11
Garth get red car:
2/11Probability they both get red cars:
1/4 × 2/11 = 1/22 ≈ 4.5%the points at which a quadratic equation intersects the x-axis
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
Given :
The points at which a quadratic equation intersects the x-axis
The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.
At x intercepts the value of y is 0.
So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
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Congruent figures Practice -2 measurement of angle F
Answer:
m∠F = 45°
because
Corresponding
Parts of
Congruent
Triangles are
Congruent
a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph
Answer:
I believe the answer is 8th graders.
Step-by-step explanation:
the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.
Answer:
15.7cm
Step-by-step explanation:
the circumference of x=L1=2π =15cm
L2=2π =20cm
L2-L1
=20π-15π
=5π
=5×3.14
=15.70cm
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T.
phase shift is 0
General equation
y=AcosB(x-C)+Dc is phase shift
y=AcosBx+DMidline is D
y=AcosBx+5A is amplitude
y=2cosBx+5B is period
2π/TSo
Final equation
y=2cos(2πx/T)+5Not mandatory from now
For some special cases 2π/T=omega
So Equation yields
y=2cos([tex]\omega x[/tex])+5Answer:
[tex]f(x)=2 \cos (2x)+5[/tex]
Step-by-step explanation:
The cosine function is periodic, meaning it repeats forever.
Standard form of a cosine function:
f(x) = A cos(B(x + C)) + D
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftGiven:
Amplitude = 2 ⇒ A = 2[tex]\sf Period=\pi \implies \dfrac{2 \pi}{B}=\pi \implies B=2[/tex]mid-line = 5 ⇒ D = 5Inputting the given values into the standard form:
[tex]\implies f(x)=2 \cos (2x)+5[/tex]
Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe
[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]
the value of x is 3.
Answer: X=3
Step-by-step explanation:
A line contains the following points left to right: r, t, u, s. the space between r and t is 12 units. the space between r and s is 24 units. if tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct
Measure of line segmentsA line is defined as the distance between two points
From the given line, RT = TU = 12 unitsSince the point T bisects RT and TU = 6 units, hence the point U bisects TS.
The sum of the segment SU and UT will be RT
SU + UT = RTGiven that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE
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HELP PLEAZE
ILL GIVE BRAINLIEST
Answer:
153.86 in²
Step-by-step explanation:
The area of a circle is:
A = π r²
Radius is just half of the diameter so r = 7.
Substitute 3.14 for π.
Restate the equation:
A = 3.14 x 7² = 3.14 x 49
A = 153.86
Solve 2x2 + 3x − 5 = 0 by factoring.
x=1, 52
x=1, −52
x=1
x=−52
joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find the density of tulips
for the area of the bed. round to the nearest tenth if necessary.
Answer:
the answer is 15
Step-by-step explanation:
density= total population/surface area
density= 375/5^2
density=375/25=15
arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909
Answer:
0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09
Step-by-step explanation:
Here they are from least to greatest. Hope this helps. :)
there are 11 clowns and 3 elephants. how many is all together?
Answer:
14
Step-by-step explanation:
A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons. One crayon is chosen at random. Write each probability as a fraction, a percent, and a decimal
The probability of getting black crayons is 0.3, blue crayons 0.2, red crayons 0.25, yellow crayons 0.15, and white crayons 0.1.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons.
One crayon is chosen at random.
The total number of crayons = 20
The probability of getting black crayons
= 6/20
= 0.3
The probability of getting blue crayons
= 4/20
= 0.2
The probability of getting red crayons
= 5/20
= 0.25
The probability of getting yellow crayons
= 3/20
= 0.15
The probability of getting white crayons
= 2/20
= 0.1
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660 miles on 20 gallons or 850 miles on 25 gallons which is greater
Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.
Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.
Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
What is regular Pentagon?Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.
For the 8 birdhouse, the number of trapezoids she need is,
Trapezoids=2 x 8
Trapezoids=16
For the 3 birdhouse, the number of rectangle she need is,
Rectangle =4 x 3
Rectangle=12
The number of birdhouse when she use 4 square,
Bird house=4 x 1
Bird house=4
Thus, the number of triangle for 4 birdhouse is,
Triangle=2 x 4
Triangle=8
Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
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The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.
Answer:
B
Step-by-step explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if + a , then a shift to the left of a units
• if - a then a shift to the right of a units
h(x) = g(x - 3)
then h is the graph of g shifted right 3 units
How Do You Graph This Equation
Answer:
Rearrange both inequalities to make y the subject.
Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.
Inequality 1
[tex]2y \leq x-10[/tex]
[tex]\implies y < \dfrac{1}{2}x-5[/tex]
[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]
[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]
Inequality 2
[tex]x+y\leq -3[/tex]
[tex]\implies y\leq -x-3[/tex]
[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]
[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]
When graphing inequalities
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
Therefore,
Inequality 1: plot points (0, -5) and (4, -3) and draw a solid line through them.
Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.
Shade the area below both lines from where the lines intersect.
Answer:
See below ~
Step-by-step explanation:
Inequality 1 :
Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5Taking 2 points :
0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)Inequality 2 :
x + y ≤ -3y ≤ -x - 3Taking 2 points :
0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :
