What is the area of half of a circle with a diameter of 3.5cm, round to the nearest hundredth, if
necessary?
a. 38.47 cm2
b. 19.23 cm2
c. 9.62 cm2
d. 4.81 cm2

Step-by-step explanation:

use phytagoras theorem to find the length of broken post

[tex] \sqrt{ {7}^{2} } + {10}^{2} [/tex]

[tex] \sqrt{49 + 100} [/tex]

[tex] \sqrt{149} [/tex]

[tex] = 12.2[/tex]

add the broken post with the standing

= 7 + 12.2

=19.2

Given:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7

To find:

The number of students in the class.

Solution:

Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is

[tex]\text{Total students}=4x+7x[/tex]

[tex]\text{Total students}=11x[/tex]

It means total number of students is multiply of 11.

Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.

Therefore, the total number of students in the class is 33.

Answer:

b.

Step-by-step explanation:

5*30+3*45>300

150+135

30+45=75

Answer:

B)

Step-by-step explanation:

30, 45

Answer:

-1/4

1

-1/4

1

Step-by-step explanation:

Slope is obtained thus :

(y2 - y1) / (x2 - x1)

Slope ST :

S(1, 4) ; T(5, 3) ;

x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3

Slope ST = (3 - 4) / (5 - 1) = - 1 / 4

Slope TU :

T(5, 3) ; U(3, 1)

x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1

Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1

Slope UV :

U(3, 1) ; V(-1, 2)

x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2

Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4

Slope SV:

S(1, 4) ; V(-1, 2)

x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2

Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1

Answer:

-8/9 or -0.8 repeating

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

what is the quetion then i can answer it

Step-by-step explanation:

just remeber a penny is 1 cent a qurter is 25cents and so on

I hope this helps you.

Answer:

Step-by-step explanation:

Given

x is the number of cars so it should be a whole number so the domain is discrete

Correct option is B

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

Answer:

0.102048 ampere

Step-by-step explanation:

I α k / R

Current = 1/5 ; R = 8750

What is the current when the resistance is 17150 ​ohms

First obtain the value of k :

I = k/R

I = 1/5 ampere = 0.2 A

0.2 = k / 8750

k = 1750

What is the current when the resistance is 17150 ​ohms

I = 1750 / 17150

I = 0.1020408

I = 0.102048 ampere

Answer:

okay so basically

6(-12+5)-3(-12) = -6

Step-by-step explanation:

the answer is -6

Answer:

x = 3

Step-by-step explanation:

6x - 7 = 11

First, add 7 to 11 which gets you 6x = 18

Then, divide 18 by 6 to solve for x which gets you 3

This means that x = 3

(hope this helps)

Answer:

Step-by-step explanation:

6x-7+11

(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)

6x=18

(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)

x=3

Answer:

c d

Step-by-step explanation:

The bowl has a of 5 inches.

The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.

Given

d = 10 inches

d = 2r

r = d/2 = 10/2 = 5

To know more about relation between radius and diameter refer to :

https://brainly.com/question/23220731

#SPJ2

Answer:

The last one: Decreasing then increasing

Step-by-step explanation:

Answer:

d?

Step-by-step explanation:

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

Answer: The answer is 36/5?

Step-by-step explanation:

L=W+7

W=1/3L

we can substitute the width in the first relation with 1/3L

L=1/3L+7

we move1/3L to the left

L-1/3L=7

we multiply by 3 to remove the denominator

3L-L-21

2L=21

L=21/2=10.5cm

Answer:

l = (21/2)m

Step-by-step explanation:

Let's call the length l and width as w.

l = w+7m

(1/3)l=w (Plug in the w value into the first equation)

l = (1/3)l+7m (Now, isolate the l)

(2/3)l = 7m (Multiply both sides by 3/2)

l = (21/2)m

Hope this helps!

Answer:

1 hr 15 mins

Step-by-step explanation:

Answer

45

Step-by-step explanation:

30+15=45

Answer:

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Step-by-step explanation:

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                                  Reason

1. ∠1 and ∠2 are supplementary    [tex]{}[/tex]     Given

 [tex]{}[/tex] ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        [tex]{}[/tex]                    Definition of supplementary angles

[tex]{}[/tex]   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]          Transitive Property

4. m∠2 = m∠3       [tex]{}[/tex]                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       [tex]{}[/tex]                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

9514 1404 393

Answer:

  0.40 W/(m·K)

Step-by-step explanation:

Units of thermal conductivity are ...

  W/(m·K)

The length dimension in the denominator comes from the ratio of area to thickness. That is, we can compute the thermal conductivity from ...

  (62 W)(0.163m)/(1.1 m²·23K) ≈ 0.40 W/(m·K)

Answer:

you do not have enough information to determine

Answer:

A

Step-by-step explanation:

Here, we want to select which of the graph represents a cubic equation

Graphs B and C looks parabolic and thus, they probably will represent a quadratic equation

Graph D represents a straight line equation

Graph A represents a cubic function due to its shape

So our answer is graph A only

Answer:

a

Step-by-step explanation: