16 mm
63 mm
What is the length of the hypotenuse?
millimeters

Answer:

35.19

Step-by-step explanation:

equation is : C=2πr

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

As, we have diameter of circle is 5.6 cm and radius is half of diameter.

[tex] \tt : \implies Radius, r = \dfrac{d}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{28 \: cm}{10}[/tex]

[tex] \tt : \implies Radius, r = 2.8 \: cm[/tex]

[tex] \\ [/tex]

Now, for Circumference :

[tex] \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]

[tex] \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{176}{10}\: cm[/tex]

[tex] \tt : \implies Circumference = 17.6\: cm[/tex]

[tex] \\ [/tex]

Hence, circumference is 17.6 cm.

Answer:

y=-3/2x+6

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Since this triangle is a right triangle, we can solve using SOHCAHTOA.

Our angle is 25 degrees and the given hypotenuse length is 27. So, the best trigonometry equation to use would be sine, since it includes the hypotenuse and the opposite side, which is the r length that we are looking for.

Through SOHCAHTOA, sin 25° = [tex]\frac{opp}{hyp}[/tex]

sin 25° = [tex]\frac{r}{27}[/tex]

r = 27 (sin 25°)

Using a calculator, 27 (sin 25°) ≈ 11.4

Answer:

The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.

Step-by-step explanation:

Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:

a, a+d, a+2da, a+d, a+2d

Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.

applying the Pythagorean Theorem:

a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2

a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2

3d2−a2+2ad=03d2−a2+2ad=0

(3d−a)(d+a)=0(3d−a)(d+a)=0

Therefore, your solutions are

3d=a3d=a

andd=−ad=−a

So if a = 3, d = 1. Therfore, one potential  sequence is 3, 4, 5.

Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10

Answer:

B, D, and E

Step-by-step explanation:

8 oz = 1 cup

1 qt = 32 oz

1 pint = 16 oz

14 cups = 8 x 14 = 112 oz

A)  64 + 64 = 128            no

B)  96 + 16 = 112             yes

C)  32 + 96 + 16 = 144     no

D) 32 + 80 = 112              yes

E)  64 + 32 + 16 = 112       yes

Answer:

32.5

Step-by-step explanation:

We can set this problem up as a proportion:

[tex]\frac{10}{25} = \frac{13}{x}[/tex] In doing this, we find the exact distance from Boomtown to Dayville. Another way to do it is by dividing 25 by 10, to get 2.5, then multiplying 2.5 by 13 to get 32.5

Answer:

x = 111

Step-by-step explanation:

x + x - 42  = 180     {Lines are parallel. So, they are supplementary}

2x - 42 = 180  

Add 42 to both sides

2x - 42 + 42 = 180 + 42

               2x = 222          {Divide both sides by 2}

                 x = 222/2

x = 111

Answer:

41.472 m²

8.449m²

Step-by-step explanation:

c) scale facot is 7.2/5 = 1.44

the square scale factor is 1.44^2 = 2.0736

times 20 by this to get the area

2.0737x 20 = 41.472 m²

d) 2.8/6 = SF = 0.467

0.2178 x 38.8 = 8.449m²

Answer: 9,903.32

Step-by-step explanation: 1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

The value of Laura's car will be $9,903.32 after 100 months.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order.

1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

Learn more about the Percentage here:

https://brainly.com/question/24877689

#SPJ2

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

Answer:

x = - 5, x = 2

Step-by-step explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Answer:

375g

Step-by-step explanation:

250g = 4

X = 10

Cross Multiply

2500=4x

Divide both sides by x

x=625

1000-625

375g left

Answer:

JL = 12.5

Step-by-step explanation:

[tex] In\: \triangle JKL, KM\perp JL[/tex]

Therefore, by geometric mean property:

[tex] KM^2 = JM\times ML[/tex]

[tex] 6^2 = 8\times ML[/tex]

[tex] 36 = 8\times ML[/tex]

[tex] \frac{36}{8} = ML[/tex]

[tex]ML= 4.5 [/tex]

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

Answer:

142 cm^2

Step-by-step explanation:

2(L*H)+2(L*W)+2(W*H)=SA

7*3=21

21*2=42

7*5=35

35*2=70

5*3=15*2=30

30+70+42=142

Answer: 40

Step-by-step explanation: 60/3= 20    20x3= 60    20x2=40

Answer:

8/49

Step-by-step explanation:

Given data

Sample space

4 red marbles

8 blue marbles

2 green

Sample size

4+8+2 = 14

Pr(picking a red)

Pr(red)= 4/14= 2/7

With replacement

Pr(picking a blue)

Pr(blue)= 8/14= 4/7

Hence the probability of picking a red marble, replacing the item, and then picking a blue marble

= 2/7*4/7

= 8/49

========================================================

Explanation:

Refer to the diagram below.

If we focus on triangle ACD, then we can use the pythagorean theorem to say

d^2 + m^2 = 2050^2

d^2 = 2050^2 - m^2

Now if we focus on triangle DCB, we can also use the pythagorean theorem to say

d^2 + n^2 = 1420^2

2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2

n^2 - m^2 = 1420^2 - 2050^2

n^2 - m^2 = -2,186,100

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

In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m

We can then say

n^2 - m^2 = -2,186,100

(3000-m)^2 - m^2 = -2,186,100

m^2 - 6000m + 9,000,000 - m^2 = -2,186,100

-6000m + 9,000,000 = -2,186,100

-6000m = -2,186,100 - 9,000,000

-6000m = -11,186,100

m = (-11,186,100)/(-6000)

m = 1864.35

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

We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)

We'll focus entirely on triangle ACD

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(theta) = m/2050

cos(theta) = 1864.35/2050

cos(theta) = 0.90943902439024 which is approximate

theta = arccos(0.90943902439024)

theta = 24.572056388088

theta = 24.6 degrees

Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5

Answer:

1 in 5

Step-by-step explanation:

Multiples of 3 from 1 to 15:

3, 6, 9, 12, 15

Find the lowest multiple of 3.

Formula for probability:

Probability number is drawn/total

3/15

Convert it to simplest form.

1/5

I am not so sure about this, but I have seen people do this, hope I'm not wrong.

Answer:

A is the answer hope this helps

Answer:

1/4 or 1/24

Step-by-step explanation: I am not sure but try and if you get it rong I am sorry