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Answer:

141.4 cm

Step-by-step explanation:

Refer to the notations in the attached photo,

AG = d

Using Pythagoras Theorem:

In triangle ABC,

AC

=[tex] \sqrt{ {60}^{2} + {80}^{2} } [/tex]

=[tex] \sqrt{3600 + 6400} [/tex]

=[tex] \sqrt{10000} [/tex]

= 100 cm

∴ AC is 100 cm.

In triangle ACG,

d

=[tex] \sqrt{ {100}^{2} + {100}^{2} } [/tex]

=[tex] \sqrt{10000 + 10000} [/tex]

=[tex] \sqrt{20000} [/tex]

= 141.4 cm (cor. to the nearest tenth)

Answer:

angle AOC = BOD            vertical angles

AO=BO                             bisected by CD

CO=DO                             biscted by BA

AOC =BOD                       SAS

Step-by-step explanation:

: D

Answer:

angle AOC = BOD            vertical angles

AO=BO                             bisected by CD

CO=DO                             bisected by BA

AOC =BOD                       SAS

Answer:

$130,626.56

Step-by-step explanation:

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?

We are told that: She obtained a 25/8 balloon mortgage at 3.85%

This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.

Step 1

We find Monthly payments

Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)

Where:

Pmt - monthly payment;

A - Loan amount = $168,125

i - periodic interest rate = 3.85% = 0.0385

and

n - number of periods =

1 year = 12 months

8 years = x

x = 8 × 12 months = 96 months

n = 96 months

Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)

Pmt = $873.56

Step 2

When we find the monthly payment, we can compute the balance due after the term of a balloon loan.

B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)

Where:

B - Balloon payment

nb - Number of balloon loan periods =

Pmt - Monthly payment = $873.56

B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)

B = $130,626.56

Answer:

[tex]C = 1000S + 500B[/tex]

Step-by-step explanation:

Given

[tex]S = Banana\ Splits[/tex]

[tex]B=Bacon\ Rolls[/tex]

Reading through the question, we have:

Number of calories per serving:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Let

[tex]x = Cholesterol[/tex]

[tex]y =Sugar[/tex]

So, we have:

Each serving of S

[tex]x \to 1S[/tex]

[tex]y \to 3S[/tex]

Each serving of B

[tex]x \to 4B[/tex]

[tex]y \to 1B[/tex]

Recommendation

[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol

[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

[tex]S + 4B \le 10[/tex]

[tex]3S + B \ge 2[/tex]

[tex]3S + B \le 9[/tex]

Recall that the calories per serving is:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Hence, the objective function is:

[tex]C = 1000S + 500B[/tex]

Answer:

0.1 x 2 = 0.2

Step-by-step explanation:

when you multiply, you move the decimal once because there is one decimal place.

Answer:

28.4615384615

28.46

Step-by-step explanation:

Answer:

28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.

Step-by-step explanation:

Answer:

25 ≤ 2.5n

Step-by-step explanation:

Total budgeted amount = $25

Cost per pack of = $2.50

To represent the relationship using inequality :

Let the Total number of packs purchased = n

Hence,

Total budgeted amount ≤ (cost per pack * number of packs)

25 ≤ 2.5n

This means the total actual purchase made should be less than or equal to the budgeted amount.

Answer:

Volume is 125cm cubed

Surface Area is 150 cm squared

Step-by-step explanation:

Volume, you do length times width times height

5 times 5 times 5

Volume equals 125

Surface Area, You do base times height times 6

5 times 5 times 6

Surface Area equals 150

yw

Answer:

234

Step-by-step explanation:

.13 x 1800 = 234

42.57 x 46630= 75769 =3794874 =37489438790=3474936

Answer:

377.62 m³

Step-by-step explanation:

V = 16 × 3.95 × 8 - 8 × 3.95 × (8 - 3.95)

V = 377.62

Answer:

The answer is (0, 2)

Step-by-step explanation:

Ive also had this question and viewed iver it and said it was right this was some time ago but im glad to help :)

Answer:

The new coordinates would be (-4, 11)

(-10, 11) (-9, 7) Hope this helps!

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

Answer:

Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.

Step-by-step explanation:

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

Answer:

112.3

Step-by-step explanation:

Answer:

sorry I can only answer no.3

[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]

Answer:

1.98, 7.74, 3.26

Step-by-step explanation:

I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.

Hope this helped :)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attached graph shows the original triangle (red) reflected over y=-2 (purple) and translated left 4 units (blue).

Answer:

If the radius = 10, then 3141.59 cubic in.

If the diameter = 5, then 785.4 cubic in.

Step-by-step explanation:

You didn't specify whether the 10 was the radius or diameter.

I used the formula V = 1/3 * h * π * r².

Answer:

19 < x < 67

Step-by-step explanation:

triangle inequality theorem:

x + 24 > 43

43 + 24 > x

The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The lengths of two sides of a triangle are,

⇒ 24 inches

And,  43 inches.

Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;

⇒ 43 - 24 < x < 43 + 24

⇒ 19 < x < 67

Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

there should be a "paper clip" sign

Step-by-step explanation:

then go to it click it and pick or take a photo

Answer:

The distance between the two points is 6.3 units

Step-by-step explanation:

Here, we want to find the distance between the two points

We have the equation to find this as follows;

D = √((x2-x1)^2 + (y2-y1)^2

where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)

so we have the length calculated as follows;

D = √(2-(-4))^2 + (4-2)^2

D = √6^2 + 2^2

D = √36 + 4

D = √40

D = 6.3 units

value of n=72

Answer:

∆ABC~DEF

since the side of similar triangle are proportional

[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \frac{54}{9} = \frac{n}{12} [/tex]

6×12=n

n=72

Answer:

0.93

Step-by-step explanation:

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