a) If Ø(x, y, z) = 13x²y + x-2y³z, find VØ at the point (1,1, - 2).
​

1)

Looking at the question, the given information about corresponding parts is that the corresponding sides are parallel.

2)

Since we don't have information about the length of any side, so the only theorem that may be used is AA case (angle-angle). Since we have parallel lines, we can try to find corresponding or alternate angles, since they are congruent angles.

3)

We need at least two pairs of congruent angles in the triangles.

4)

If we take two pairs of parallel sides, we can create a parallelogram. Since opposite sides in a parallelogram are congruent, so the angle created by adjacent sides in a triangle will be congruent to the angle created by the corresponding parallel sides in the other triangle.

This way, we can prove that each corresponding angles are congruent, therefore proving the similarity with AA case.

Answer:

x°=118

(x-56)°= 62

Step-by-step explanation:

90×2 = 180

360-180=180

x+(x-56) =180 x=118

118-56=62

Answer: A

Step-by-step explanation:

It's on edge i got a 100%

Answer:

A=2(LW+LH+WH)

Step-by-step explanation:

-1/10 should be subtracted from 1/2 to get 4/10.

A fraction is of the form → (x/y).

For example, we can write fractions as → 2/3.

Fractions and ratios represent the same aspect. We can write -

2 : 3 = 2/3

4 : 7 = 4/7

Given is to solve the expression -

(1/2) - ? = 4/10

We can write the expression as -

(1/2) - (x) = (4/10)

(x) = 4/10 - 1/2

(x) = 4/10 - 5/10

(x) = -1/10

Therefore, -1/10 should be subtracted from 1/2 to get 4/10.

To solve more questions on subtracting fractions, visit the link below

https://brainly.com/question/30489902

#SPJ9

{Question in English -

What fraction subtracted from 1/2 equals 4/10?}

The trigonometric ratio in terms p are

cos 200 = -p

- sin 70 = -p.

To express each of the given trigonometric values in terms of p:

Since the cosine of 0° is equal to 1, we can say that cos 0° = p.

cos 200°: Using the identity

cos(180° + θ) = -cos(θ), we can rewrite

cos 200° = -cos(180° + 20°).

Since cos 20° = p, we can express cos 200° as -p.

sin(-70°): Using the identity

sin(-θ) = -sin(θ), we can rewrite

sin(-70°) as -sin(70°)

=- sin (90- 20)

=  - cos 20

= -p

sin 10°: Since sin 10° is not related to p, we cannot express sin 10° in terms of p.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

For similar questions on possible value

https://brainly.com/question/21237643
#SPJ11

Answer:

n + 5/5 = -9

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

If the problem is

(n+5) /5

Let n = -10

(-10+5)/5

-5/5

-1

or if

n+ 5/5

-10 + 1

-9

Using the concept of change of subject of formula, we can express the radius r₁ and r₂ as r₁ = r₂² / 18π

The formula of volume of a cylinder is given as;

V = πr²h

The equation for the volume of the cylindrical tank is V1 = 36πr₁ and the equation for the volume of the neighborhood pool is V2 = 1/2(4/3πr₂²).

Since V₁ = V₂, we can set the two equations equal to each other and solve for r₁:

36πr₁ = 1/2(4/3πr₂²)

To solve for r₁, we can first multiply both sides of the equation by 2/4/3, which gives:

18πr₁ = r₂²

Then we can divide both sides of the equation by 18π to get:

r₁ = r₂² / 18π

So we can say that r₁ is a function of r₂ because it can be expressed in terms of r₂.

Learn more on volume of cylinder here;

https://brainly.com/question/10390389

#SPJ1

Answer: C

Step-by-step explanation:

Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

13 (c)

Step-by-step explanation:

Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think

Answer:

13

Step-by-step explanation:

Answer:

he will need to work 8 40-hour weeks.

Explanation:

since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.

we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.

now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.

he will need to work 8 40-hour weeks before he can afford the saxophone.

i hope this helps! :D

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

Learn more about trigonometric identity :

https://brainly.com/question/3785172

#SPJ1

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

it is 2

Step-by-step explanation:

pls make me blanliest

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

Her food cost as a percentage of sales is 33.58%.

Step-by-step explanation:

Since Chef Amy does beginning inventory on Thursday night and finds that she has $ 4697 in food products in the restaurant, and throughout the week she purchases:

$ 668 produces

$ 2206 meat

$ 2488 dry goods

$ 3755 dairy

The following Thursday she does ending inventory and finds that she has $ 3518 in food.

She looks at her sales de ella and finds that she made $ 30658 over the same 7 day period.

To determine what her food cost is as a percentage of sales (her food cost percentage), the following calculation must be performed:

4,697 + 668 + 2,206 + 2,488 + 3,755 = 13,814

13,814 - 3,518 = 10,296

30,658 = 100

10,296 = X

10,296 x 100 / 30,658 = X

1,029,600 / 30,658 = X

33.58 = X

Therefore, her food cost as a percentage of sales is 33.58%.

Answer:

Step-by-step explanation:

1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr

2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.

Answer:

X=3

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4 x 7 = 28

Answer:

32.5 times 5

162.5 minutes total, or 2 hours and 42.5 minutes

Answer:

162.5 minutes in total.

Step-by-step explanation:

Since there are 5 people (Ethan AND his four friends) and each one of them drove for 32.5 minutes, you multiply 32.5 by 5. The answer should be 162.5, meaning Ethan and his four friends drove for 162.5 minutes total.