Function f is defined by the equation f(x) = x2 1. What is f(2) ?​

Answer:

5 and 12 inches

Step-by-step explanation:

Let the shorter leg be x.

13²=x²+(x+7)²

169=x²+x²+14x+49

169=2x²+14x+49

120=2x²+14x

120=2x(x+7)

60=x(x+7)

60=x²+7x

x=5

shorter length=5, longer length=12

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

Step-by-step explanation:

The radius of a cylinder, r = 13 feet

Height of the cylinder, h = 28 feet

The circumference of the cylinder is given by :

[tex]C=2\pi r\\\\=2\pi \times 13\\\\=81.68\ ft\\\\C=82\ ft[/tex]

The area of one base is given by :

[tex]A=\pi r^2\\\\=\pi \times 13^2\\\\=530.92\ ft^2\\\\=531\ ft^2[/tex]

The lateral area of the cylinder is given by :

[tex]A=2\pi r h\\\\A=2\pi\times 13\times 28\\\\A=2287.07\ ft^2[/tex]

Total surface of the cylinder is given by :

[tex]A=2\pi r h+2\pi r^2\\\\=2287.07+2\pi \times (13)^2\\\\=3348.92\ ft^2[/tex]

The total surface area of the cylinder is not matched with the given data. Hence, option (4) is not correct.

Answer:

70 degrees

Step-by-step explanation:

If cosm<A = 342/1000, we are to find the value of a

Take arccos of both sides

cosm<A = 342/1000

cosm<A = .342

arccos(cosm<A) = arccos(0.342)

m<A = arccos(0.342)

m<A = 70 degrees

Hence the measure of m<A is 70 degrees

Answer:

its 2/3

my bad

Answer:

what is the question?

Step-by-step explanation:

lol

Answer:

I believe it 13

Step-by-step explanation:

150+50= 200 then 100= two months so i added up till i got 13 weeks

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

Answer: m and n

8(m+n)= 8m + 8n

Answer:

The answer is b=0 or b=9.085603

Answer:

[tex]b^{2} \sqrt{30b}[/tex]

Step-by-step explanation:

Answer:

C. 11/4

Step-by-step explanation:

We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.

Then add the 3/4 to the 8/4 and we get 11/4.

C. 11/4

Answer and Step-by-step explanation:

Use the Pythagorean theorem to solve.

Plug in the value 5 for a, and 6 for b. c will stay as c.

[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]

5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.

We then square root both sides of the equation to get c by itself, resulting in the square root of 61.

The square root of 61 becomes 7.810249676

c = 7.8102

To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.

If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.

#teamtrees #PAW (Plant And Water)

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 and -1 are y-intercepts. Then based off of those points, find the next coordinate points by using the given slope. I do not see the correct answer in any of the options. You may have one not included in the image. If so, look at the image below.

Answer:

Step-by-step explanation:

143º I’m not sure

The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

If we extend the line NA and NB

As we can see, line NA and NB are parallel and cut by transversal AB

The angle NBA and BAN' will be equal.

Angle BAN' = 180 - 37 = 143 degree = angle NBA

Angle CBA = 360 - 140 - 143

Angle CBA = 77 degree

Now, applying cos law:

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b = 9.37 km

To find the measure of the angle A applying sin law:

(sinA)/a = (sinB)/b

sinA = (axsinB)/b

sinA = (8xsin77)/9.37

A = 56.3⁰

Bearing of town C from town A:

α = A + 37⁰

α = 56.3⁰ + 37⁰

α = 93.3⁰

Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer:

x=-6/11, y=-61/11. (-6/11, -61/11).

Step-by-step explanation:

4x+7y=-41

x=y+5

-----------------

4(y+5)+7y=-41

4y+20+7y=-41

11y=-41-20

11y=-61

y=-61/11

x=-61/11+5=-61/11+55/11=-6/11

Answer:

12-2=10 b=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.

For day periods,

Let the equation is, y = mx

Since, this line passes through (2, 80),

80 = 2m

m = 40

Therefore, equation for the day periods will be,

y = 40x

For night periods,

Let the equation is, y = mx

Since, this lines passes through (3, 90),

90 = 3m

m = 30

Therefore, equation of the line is,

y = 30x

b). For x = 6 hours,

Number of cycles in the day (y) = 40 × 6 = 240

Number of cycles in the night (y) = 30 × 6 = 180

Therefore, difference in the cycles in day and night = 240 - 180 = 60

Answer:

2. (5, -7)

3. (-6, 5)

Step-by-step explanation:

Answer:

The answers are uploaded in pictures

Answer:

HL

Step-by-step explanation:

It is HL because they are right angles.

Answer:

2.96cm

Step-by-step explanation:

C= 2x Pi x Radius

9.31 = 2 x Pi x Radius

9.31/2 = Pi x Radius

4.655 = Pi x Radius

4.655/3.14 = Radius

1.4824840764331210191082802547771 = Radius

Now, that you have worked out the radius which is half the diameter

Radius + Radius = Diameter

1.4824840764331210191082802547771 + 1.4824840764331210191082802547771         = 2.964968153

                                                                               = 2.96cm to 2 d.p

You can double check because C= 2 x Pi x Radius

                                                      9.31 = 2 x 3.14 x 1.482

Answer:

36 is the answer of this question

Answer:

Methods to Find LCM of 4, 9 and 12

Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36.

Multiples of 9 = 9, 18, 27, 36.

Multiples of 12 = 12, 24, 36.

Answer:

one

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

one

Answer:

B

We know the circle is closed

Answer:

11. A) 6x = 13

Step-by-step explanation:

11. Subtract 10 from both sides to make it equal 6x=13

12. For #12... None of the answers seem right? If you distribute and subtract, it should be

-4x + 44 = 66 then

-4x = 22...

Sorry if this didn’t help much, I know that 11 is right though ;)

Answer:

A) a horizontal shift to the right 4 units

Step-by-step explanation:

As you can see in the image we simply went 4 unites to the right.