Volume



03020020203tagmineyhi

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

Answer:

D

Step-by-step explanation:

yeah

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

Answer:

4 i believe

Step-by-step explanation:

Answer

yes it is true

Answer:

It's C

Step-by-step explanation:

When you multiply - 2 to what you have in the brackets you get - 2x - 10

Hope this helps, have a wonderful day

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

Answer:

The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Answer:

Step-by-step explanation:

Change in height:

Percent of change:

Correct choice is B

Answer:

jnoioikop

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Hahahahahahhahahahhahaha

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

Learn more about fraction click;

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Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Answer:

1 4/45

Step-by-step explanation:

Answer:

Step-by-step explanation:

5+4^2-6/3

use pemdas

Answer:hahaj

Step-by-step explanation:

Answer:

4.37 KM

Step-by-step explanation:

370 m to KM = 0.37 KM

then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.

Best regards

Answer:

Results are below.

Step-by-step explanation:

First, we need to establish the decrease function in the given population:

FV= PV/(1+g)^n

FV= future value

PV= present value

g= decrease rate

n= number of periods

Now, for the given information:

PV= 330

g= 22% = 0.22

n= 5 years

FV= 330 / (1.22)^5

FV= 122

Answer:

A) x = -3

the line is undefined

The equation of the graphed line written in slope-intercept form is x = -3

The graphed line in slope-intercept form, y = mx + b

To Convert it into the standard form of the equation, ax + by = c.

Consider that the points be (0, 3) and (5,0).

A Slope exists how many units it brought to go vertically or horizontally.

Which Slope doesn't exist.

The y-intercept in slope-intercept form, y = mx + b  

where, m = undefined

x = -3

Therefore, the correct answer is option (A), x = -3 because the line is undefined.

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Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Learn more about function here:

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Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Answer:

Initial value of a graph is always the variable a.

Step-by-step explanation:

If you have any questions about that, let me know :)

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

Answer:

77%

Step-by-step explanation:

23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)

Answer:

77%

Step-by-step explanation:

30 was 100%

23 is  x%

x=23*100/30 = 76.666.. rounded to 77%