1. To determine the height of a tree, a botanist
makes the following diagram. What is the
height of the tree?
70°
20 ft

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

A function is a relation between a dependent and independent variable.

We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the mathematical statement as -

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

We can write the given statement in the form of mathematical expression as -

{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]

Simplifying, we get -

{x} = {100/16} ÷ {54/23}/4

{x} = 100/16 ÷ 54/92

{x} = 100/16 x 92/54

{x} = 10.64

Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

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Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

The type of budget that would likely work best for Brody is biweeky budget.

Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.

The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he  can schedule his expenses each time he receives his payment, in this way he  does not spend all his money before he receives the next payment.

Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.

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Note:

This question is incomplete because options are missing, here are the options.

Daily budget

Biweekly budget

Monthly budget

Weekly budget

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

Answer:

2(4) + 2(l) >14 (second option is the answer).

Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18

Step-by-step explanation: You would need to simplify the expression by using distributive property.

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

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Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

Answer:

no

Step-by-step explanation:

because 7-7=0 and it doesn't subtract by 2

it is not equal to y=x-2

Answer:

no

Step-by-step explanation:

y = x-2

Let x = 7 and y=0

0 = 7-2

0 =5

This is not a true statement so (7,0) is not a solution

Answer:

10 miles

Step-by-step explanation:

6 in 24 min 6÷24=4

60÷6 =10

=======================================================

Here's one approach:

(6 miles)/(24 minutes) = (x miles)/(60 minutes)

6/24 = x/60

6*60 = 24*x

360 = 24x

24x = 360

x = 360/24

x = 15

She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.

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

Here's another approach:

If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.

So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Answer:

Step-by-step explanation:

Answer:

8.4 cm^2

Step-by-step explanation:

The area of the rectangle is

A = lw

A = 3x *5x = 15x^2

126 = 15x^2

126/ 15 =15x^2/15

42/5 = x^2

We want to find the area of the square

A = l*w

A = x*x

A = x^2 = 42/5 = 8.4 cm^2

please mark this answer as brainlist

Answer:

Step-by-step explanation:

Question:

Max needs to purchase a car and  withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?

Solution:

(-100) + (-50) =

-150

Answered by G a u t h m a t h

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Answer:

b

Step-by-step explanation:

16x10=160

Answer: 56

Step-by-step explanation:

Let x be the number that is supposed to be subtracted from 61.

Given

61 - x = 5

Add both sides by x

61 - x + x = 5 + x

61 = 5 + x

Subtract 5 on both sides

61 - 5 = 5 + x - 5

x = 56

Hope this helps!! :)

Please let me know if you have any questions

Answer:

13

Step-by-step explanation:

Step-by-step explanation:

Given that,

We have to find the value of m∠E.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

→ m∠E = 32°

[tex] \\ [/tex]

~

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Answer:

x6−24x5+240x4−1280x3+3840x2−6144x+4102

Step-by-step explanation:

I don't know if this is right or not but there ig?

Answer:

I think it would be 100%

Step-by-step explanation: because it is certain that means its going to happen