Using Triangle Similarity Theorems (6)
A
12
E A
B
9
D
What is the length of DC? Show work.

Answer:

40 ounces

Step-by-step explanation:

well if every peach weighs 5 ounces and she buys 8, just do 8 x 5 and you get 40

Answer:

(-6, -6)

Step-by-step explanation:

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.

The lines intersect at y = y

Equating the right hand side of both expressions we have;

x  = -6

Since y = x, hence y = -6

The required coordinate where they intersect is at (-6, -6)

Answer:

C) 1/2

Step-by-step explanation:

6 out of 12, so 1/2

Step-by-step explanation:

A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?

Dalton III

Answered December 12, 2020

I shall explain the solution to this problem using rudimentary concepts.

First, we need to determine the original price of the watch.

Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:

20100=0.2

Add 1 to the profit expressed as a decimal.

1+0.2=1.2

Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)

£12601.2=£1050

Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.

Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:

30100=0.3

Add 1 to the intended profit expressed as a decimal.

1+0.3=1.3

Now, instead of dividing, we would want to multiply the original price with the figure 1.3

£1050⋅1.3=£1365

So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365

Answer:

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Step-by-step explanation:

Given that;

f(x, y) = 4y √x, (4, 1)

{ x=4 and y=1 }

Maximum rate of change occurs with the gradient vector;

[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]

we substitute in our value of x and y

[tex]\nabla[/tex]f =  2(1)/√4, 4√4

[tex]\nabla[/tex]f = 2/√4, 4√4

[tex]\nabla[/tex]f = ( 1, 8 )

Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|

we substitute

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

Answer:  There are  12 months in one 1 year

Step-by-step explanation:

Answer:

126 minutes

Step-by-step explanation:

17.12 - 2 = 15.12

15.12 divided by 0.12 = 126 min

Answer:

$615.54

Step-by-step explanation:

Step 1

Write your problem.

577.98 x 6.5% = ?

Step 2

Convert the % to a decimal:

6.5% to 0.065

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

577.98 x 0.065 = 37.56

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

577.98 + 37.56 = $615.54 (total cost)

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

Answer:

unknown value = 800

Step-by-step explanation:

f(x) = 1333/100·x + 1/5

so if x = 60 - > (1333/100)60+1/5 = 800

Answer: 800

Step-by-step explanation: 933.3-133.3=800-133.3=666.7-133.3=533.4

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2

Answer:

3

Step-by-step explanation:

the y axis

Answer:

I think it would be 4 mph because 4x4 is 16

Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

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Answer:

B

Step-by-step explanation:

Answer:

-7333/4400

Step-by-step explanation:

Answer:

7

2n + 3n + 4n. = 63

9n = 63

n = 63/9

n = 7

hope it helps

Answer:

n=7

Step-by-step explanation:

add 2n+3n+4n, which gives 9n =63

Divide by 9 on both sides, 9n/9 =63/9

n=7

If you need to confirm that's the right answer, just plug 7 back as n

2(7)+3(7)+4(7)=63

14+21+28 =63

63=63

Answer:

a) 1/9

b)1/64

c)1/16

Step-by-step explanation:

Answer:

0.16 I think............

Answer:

0.16666666666

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

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