Unit 8 right triangles and trigonometry homework 5

Answer:

The base is 9.4 milliliters

Step-by-step explanation:

First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4

The base is 9.4 milliliters.

Answer:

9.7

Step-by-step explanation:

P=2B+2H=51.4

B+H=25.7

H=16

B=25.7-16

B=9.7

Answer:

Step-by-step explanation:

We'll start with the slope intercept form of a straight line equation:

y = mx + b, where x is the slope and b the y-intercept.  The slope we are given is 3, so:

y = 3x + b

We need a value of b that will force the line to go through (-3,-1).  Do this by entering that point in the equation and solving for b:

y = -3x + b

-1 = 3(-3) + b

b = 8

y = 3x + 8

Answer:

7.40 for 5 liters

Step-by-step explanation:

2.98/2= 1.49

7.40/5= 1.48

Hope this Helps  :)

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Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

To Find :

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

1

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

Answer:

Step-by-step explanation:

The slope-intercept form:

Find the slope using given points:

The y-intercept is given with point (0, 2):

The line is:

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

The radius of the circle is 4 units.

Given to us:

[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]

The generalized format for radius of a circle is given by:

[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]

therefore after rearrangement of the equation we get,

[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]

[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

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Answer:

No is the answer:)

Step-by-step explanation:

Draw a straight line down the middle and if it touches the purple line twice its not a function

With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.

Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

Answer:

A= -8

Step-by-step explanation:

-A - 22=-2A-30

+2A             +22

A         =   -8

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

[tex]7 + 4r + 12 = 9r - 6[/tex]

[tex]19 + 4r = 9r - 6[/tex]

[tex]19 + 9r = - 6[/tex]

[tex]4r - 9 = - 6 - 19[/tex]

[tex] - 5r = - 6 - 19[/tex]

[tex] - 5r = - 25[/tex]

[tex] = \: \: \: \: r = 5[/tex]

Answer:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

Step-by-step explanation:

Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:

[tex]6\div12=\frac{1}{2}\\\\3\div6=\frac{1}{2}\\\\\frac{3}{2}\div3=\frac{1}{2}[/tex]

Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:

[tex]a_n=xa_{n-1}[/tex]

where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

You can simply interpret this as "each term is 1/2 of the term before it"

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

Answer:

Second Table:

1 | 0

3 | -2

Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

Answer:

D

Step-by-step explanation:

Answer:

Answer is in the attached file.

Answer:

  x = 80

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  2x -48 = x +32

  x = 80 . . . . . . . . . . add 48 -x to both sides

Answer:

12 boys, 36 girls

Step-by-step explanation:

We can use systems of equations to solve this using substitution.

Let b = # of boys in the class

Let g = # of girls in the class

b + g = 48

g=3b

b+(3b)=48

4b=48

b=12

12*3=36

Check:

36+12=48

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

Answer: start out with -10=10 x n-9

next divided 10. -10 divided by 10 = -1

-1 = n-9

now add 9 to both sides

8 = n

there is your solution!!!

Step-by-step explanation:

Answer:

Vincent will be able to buy the sneakers, while David will not be able too.

Step-by-step explanation:

I believe this is true because for David,

6% of 86$ is 5.16$

so 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

I am not exactly sure if all calculations are correct, but I hope this helps! :)

Answer:

Vincent          

I took the test on edg

The graph is in the image.

Answer:

2k-1

Step-by-step explanation:

(k-4)+(k+3)

k+k=2k

-4+3=-1

Answer:

2k-1

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3