Find the area of a triangle, two sides of which are 10 cm and 16 cm and the perimeter is 38 cm.

Answers

Answer 1
perimeter of triangle=a+b+cbut first we have to find the value of the third sideso here, a=10 b=16 c=xnow, 10+16+x=38 26+x=38 x=38-26 x=12area of triangle= 1/2×base×height = 1/2×16×9(height = 9 ,but why??here it is,using Pythagoras theorem, m²-1=8 m²+1=10so, m=9)

continuation: =8×9 =72the area is 72 cm

hope it helped :-)
Answer 2

Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²


Related Questions

Please give me the answer

Answers

Answer:

the median increases by 0

Step-by-step explanation:

-18/-32/41/8/-11 from least to greatest

Answers

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

 

A monk crossbred plants which can have purple or white flowers and obtained 511 plants with white flowers and 337 plants with purple flowers find the empirical Probability that a plant had each type of flower

Answers

Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

is the fraction 6 1/2 equal to 73?

Answers

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:

Please help……………………………………!!!!!!!!!

Answers

Answer:

4 k^4

Step-by-step explanation:

(64 k^12) ^ 1/3

We know (ab)^c = a^c * b^c

64 ^ 1/3   k^12^1/3

4 * k^12^1/3

We know a^b^c = a^(b*c)

4 k^(12*1/3)

4 k^4

With this diagram, what could be the values of c and d?

Math item stem image
CLEAR CHECK

c=4.2,d=−12

c=−5,d=−84

c=−15,d=11

c=7,d=−54

Answers

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

How to determine the values of c and d?

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

Read more about numbers at

https://brainly.com/question/10853762

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Which circle C shows a chord that is not a diameter?


Circle C is shown. A line is drawn from one side of the circle to the other side and goes through point C.


Circle C is shown. A line is drawn on the outside of the circle and intersects the circle at one point.


Circle C is shown. A line is drawn from point C to a point on one side of the circle.


Circle C is shown. A line goes from one point on the circle to another point on the circle.

Answers

Answer:

The answer is option D

Step-by-step explanation:

Just got it right on edge :)

Answer:

d

Step-by-step explanation:

what's meep + meep + meep + meep ? i'm having a hard time with this

Answers

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

-14 -8 = -2 (-3x + 7)
Please answer

Answers

Answer:

-4/3

Step-by-step explanation:

-14 -8 = -2 (-3x + 7)-22= 6x-146x=14-226x=-8x= -8/6x= -4/3

I need help or I’m going to fail math please help.

Answers

Answer:

The answers are in the pictures

Step-by-step explanation:

I can't type all of them 'cause it's much

Answer:

1. a. x= 18°

sum of interior angles is = 180°, so, to get x, = 2.5x + 4.5x + 3x = 180°

2.5x = 45

4.5x = 81

3x = 54

2. a. x = 75°

x - 10 = 65

x-35 = 40

x = 75

use the concept in number one.

3. a. x = 25

the  two opposite interior angles add up to the exterior angle . so,

4x + 55 = x + 130

like terms together then simplify to get x as 25

so 4x = 100°

x + 130 = 155°

4. ∠2 = 180 - (38+34) = 108°

∠5 = 180 - (38+74) = 68°

∠6 = 74 + 38 = 112°

hope you understand now.

Calculate the width of a 70" TV if the TV has an aspect ratio of 16:9.

Answers

Answer:

The TV has a length of 61.01" and a height of 34.32"

Step-by-step explanation:

The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:

[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]

Since the ratio is 16:9, we have:

[tex]9*length = 16*height[/tex]

[tex]length = \frac{16}{9}*height[/tex]

Applying this on the first equation, we have:

[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]

[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]

The TV has a length of 61.01" and a height of 34.32"

The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? 250πmm³ 400πmm³ 625πmm³ 2500πmm³ Two 15 millimeter high cones with 10 millimeter diameters are connected to each other at their vertices. A 15 millimeter high cylinder with a diameter of 10 millimeters is connected to the cone on the right.

Answers

Answer:

625πmm³

Step-by-step explanation:

The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.

Volume of a cone = 1/3πr²h

r is the radius of the cone

h is the height of the cone

Since the cone are 15mm high, their individual height = 15mm

Diameter = 10mm, radius = 5mm

Volume of a cone = 1/3× π × 5²×15

Volume of a cone = 1/3 × π × 25 × 15

Volume of a cone = 125πmm³

Volume of both cones = 2(125π) = 250πmm³

Volume of a cylinder = πr²h

Height of the cylinder = 15mm

Radius of the cylinder = 5mm

Volume of the cylinder = π(5)²×15

Volume of the cylinder = 375πmm³

Volume of the composite solid = volume of the two cones + volume of cylinder.

= 250πmm³+375πmm³

= 625πmm³

Answer: 625pimm^3

Step-by-step explanation:

Please answer this question immediately ...I need help pls

Answers

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)

Answers

Answer:

-5x^2-5x=+1

Step-by-step explanation:

A 4-inch by 2-inch piece of granite that is 5 feet long is cut lengthwise along its diagonal. Find the perimeter and area of the cross section formed by the cut.

Answers

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Evaluate b^2c^1 for b=-4 and c= 2.

Answers

Answer:

32

Step-by-step explanation:

b^2c^1

Let b=-4 and c= 2

(-4)^2 ( 2)^1

16 * 2

32

Answer:

The correct answer is

-32

Step-by-step explanation:

All you need to do is plug in -4 and 2 into the equation to get:

4^2 times 2^1

This equals ...

-32

Hope this helps!

- xoxo Quinnisa

Determine the ordered pair that satisfies the equation, 7x - 1y = 8.

Answers

Answer:

(1.142857143 , -8)

Step-by-step explanation:

James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number of boxes he can fit inside the trailer?

Answers

Answer:

33

Step-by-step explanation:

2x3x2=12 396/12=33

The maximum point on the graph of the equation
y = f(x) is (2,-3). What is the maximum point on
the graph of the equation y=f(x-4)?

Answers

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

What is translation of a graph?

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

Also, Learn more abut translation of graphs from the link below:

https://brainly.com/question/11805053

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find the area for the figure (square and circle)

Answers

Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test

Select correct answer pls^^

Answers

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Please explain how you can find the circumference (perimeter) of a circle given its area.

Answers

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

Suppose f(x)=x^2 and g(x)=1/4x^2. Which statement best compares the
graph of g(x) with the graph of f(x)?

A. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.

B. The graph of g(x) is the graph of f(x) shifted 1/4 units right.

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.

D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4.​

Answers

Answer:

Step-by-step explanation:

Statement A is closest to being correct.  To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.

Step-by-step explanation:

a p e x

A water balloon is thrown from the top of a house. The path of the balloon is modelled by the relation, h = -4.9t2 – 14.7t + 19.6,
where h is the balloon's height, in meters, above ground, and wheret is the time, in seconds.
a.
How tall is the house? (1 mark)
b. How long does it take for the balloon to hit the ground? (3 marks)
What is the maximum height that the balloon reaches? marks)
C.​

Answers

Answer:

(a)19.6 meters

(b) 1 seconds

(c)30.625 meters

Step-by-step explanation:

The height of the balloon is modeled by the equation:

[tex]h = -4.9t^2- 14.7t + 19.6[/tex]

(a)Since the balloon is thrown from the top of the house,  the height of the house is at t=0

When t=0

[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]

The height of the house is 19.6 meters.

(b)When the balloon hits the ground

Its height, h(t)=0

Therefore, we solve h(t)=0 for values of t.

[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]

[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]

Therefore, the ball hits the ground after 1 seconds.

(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.

[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]

A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive

Answers

Step-by-step explanation:

3*85 <= 83+91+x <= 3*90  

255 <= 174+x <= 270  

81 <= x <= 96

Answer:

81 ≤ x ≤ 96

Step-by-step explanation:

85 ≤ (x + 83 + 91)/3 ≤ 90

85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90

81 ≤ x ≤ 96

What is the midpoint of the line segment with endpoints (-5.5,-6.1) and (-0.5,9.1)

Answers

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

Anybody know the answer?

Answers

Yes!

This does represent a function because all numbers in this table are real numbers.

Integers and whole numbers are apart of real numbers.

Therefore you do not have to state why this is not a function because it certainly is!

√125 x √5 is equal to a) 50 b) 250 c) 25

Answers

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Container X contained 1200g of sand.Container Y contained 7.2kg of sand.After an equal amount if sand was removed from each container,Container Y had 7 times as much sand as container X.how much sand was removed from each container?​

Answers

I NEED HELP DOES ANYONE HAVE THIS QUESTION

Can someone help me :(

Answers

Answer:

The answer is B. Two Foci, hope this helps! :)

Answer:

center of focus

Step-by-step explanation:

i hope this help "whole lotta love" NUNU

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