How are exponents and roots related? ​

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

Answer:

0.3 if you typed the calculating correctly.

because then all operations are of the same priority and ranking, and we go simply from left to right :

0.5/0.5 = 1

and then there is 1 × 0.3 = 0.3

but if you missed to write any brackets like for

0.5/(0.5 × 0.3)

then this goes differently, because now 0.3 is in the bottom part of the division/quotient.

we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with

1/0.3

now, what is 0.3 ?

it is actually 3/10.

so, we have 1/(3/10) which is the same as

(1/1) / (3/10)

to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us

(1×10) / (1×3) = 10 / 3 = 3.33333...

so, please pick the solution that best fits your actual question.

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

Answer:

here u go

Step-by-step explanation:

binomial

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

learn more about triangle here

brainly.com/question/29122914

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Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

Answer:

x   -   h(x)

0   -   1

1    -   3

2   -   5

3   -   7

Step-by-step explanation:

Just substitute the x value into the function

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

Answer:

97.12°

Step-by-step explanation:

the value of the highlight angle =

tan~¹ 1/3 + tan~¹ 5/1 =

18.43° + 78.69° = 97.12°

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]

Then, we simplify. The like terms go together, and you have your solution.

[tex]2w^{2} + 2w+36[/tex]

Answer:

:)

Step-by-step explanation:

ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

.........................

Answer:

x=10.5

Step-by-step explanation:

[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

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Answer:767

Step-by-step explanation: