Which expression is equivalent to the expression shown?
(5^3)^9/5^12
5^24
5^15
5^0
5^1

Answer:

1.5

Step-by-step explanation:

the lines 10 and 15 are proportionate

the lines 30 and 45 are proportionate

10*1.5 = 15

30*1.5 = 45

since you had to multiply both by 1.5, this is the scale factor.

Answer:

x = 21 and y = 83

Step-by-step explanation:

Since the figures are similar, then corresponding sides and angles are congruent, that is

GE = LA

x = 21

and

∠ I = ∠ M , so

y = 83

Answer:

D = 4

Step-by-step explanation:

41 divided by 12 is 3.41666666667

then add 7 to 41 = 48

then divide 48 divided by 12 = 4

D then equals 4

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Given:

[tex]ST=4y,TU=2y+6[/tex]

To find:

The value of  y, ST and TU.

Solution:

In triangle STV and UTV,

[tex]m\angle TSV\cong n\angle TUV[/tex]            (Given right angles)

[tex]m\angle SVT\cong n\angle UVT[/tex]            (Given)

[tex]TV\cong TV[/tex]            (Common side)

The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.

[tex]\Delta STV\cong \Delta UTV[/tex]           (AAS congruence postulate)

Corresponding parts of congruent triangles are congruent. So,

[tex]ST\cong UT[/tex]              (CPCTC)

[tex]4y=2y+6[/tex]

[tex]4y-2y=6[/tex]

[tex]2y=6[/tex]

[tex]y=3[/tex]

Now,

[tex]ST=4y[/tex]

[tex]ST=4(3)[/tex]

[tex]ST=12[/tex]

And,

[tex]TU=2y+6[/tex]

[tex]TU=2(3)+6[/tex]

[tex]TU=6+6[/tex]

[tex]TU=12[/tex]

Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].

Answer:

[tex] a = \frac{28}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } [/tex]

The side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ      = Base/Perpendicular

According to the question

In right angle Δ

Hypotenuse = 28

Base for ∠45° = b

Perpendicular for ∠45° = a

now , Using trigonometric ratio

sin θ [tex]= \frac{Perpendicular}{Hypotenuse }[/tex]

sin 45° = [tex]= \frac{a}{28}[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{a}{28}[/tex]

a = [tex]\frac{28}{\sqrt{2} }[/tex]

Hence, side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

To know more about trigonometric ratio here:

https://brainly.com/question/25122825

#SPJ2

Answer:

everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(

Step-by-step explanation:

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

Answer:

15 apples

Step-by-step explanation:

1.8= a x 0.12

1.8/0.12 = 15 apples

hope this helps!!

Answer:

40

Step-by-step explanation:

please mark me as brainliest

Answer:

[tex] 40 \: {yd}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of triangle + Area of square

[tex] = \frac{1}{2} \times 6 \times (4 + 4) + {4}^{2} \\ \\ = 3 \times 8 + 16 \\ \\ = 24 + 16 \\ \\ = 40 \: {yd}^{2} [/tex]

Answer:

B is the given number of teacher it's depend of your question

Answer:

The SSS theorem

Step-by-step explanation:

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

Answer:

1 and 3

Step-by-step explanation:

why you delete my other comment

Answer:

3

Step-by-step explanation:

Answer:

I suggest it's Ryan

Step-by-step explanation:

If John hits the center once in every 3 row, it means that he hit it 6-7 times but Ryan hits the center for about 12 times. It's definitely Ryan!

Answer:

it's totally depends on u whether you like to find the value of x or value of y

Answer:

Simply  which value you put for x  you will get some answer for y that makes x and y coordinates..

Step-by-step explanation:

Like when  x=0

y=3(0)-1=-1

when x=1

y=3(1)-1

y=3-1

y=2

When x=2

y=3(2)-1

y=6-1

y=5

When x=3

y=3(3)-1

y=8

Answer:

7

Step-by-step explanation:

Simplify the expression.

(2x+1)(x+4)

calculator

Answer:

Step-by-step explanation:

Multiply co efficient of the x^2 and the constant; which will be 8

What can you multiply together that will give you 8 and add that give the co efficient of x, 9

1*8 ✓

(2x^2 +8x) + (1x + 4) = 0

Factorise

2x(x+4) +1(x+4) = 0

2x+1= 0

x+4=0

x = -1/2 or -4

Answer:

1 /4

Step-by-step explanation:

Given that:

Number of shirts in shipment = 24

Number of defective shirts in shipment = 6

The expectation about upcoming shipment which can be inferred from the information give is the probability of defect in upcoming shipments :

Probability of defect = Number of defect in shipment / total number of items in shipment

P(defect) = 6 /24 = 1 /4

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]

This simplifies to n = 7, which is our final answer.

Answer:

X- intercept(S) : (4,0)

Y- Intercept(S) : (0, -6)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for Y.

Hopes this helps!

The x- intercept (4, 0) and y intercept ( 0, -6).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

when the independent variable is 0 and you want to know the value of the dependent variable (zero).

Given:

Equation: 12x - 8y = 48

Now, for x- intercept put y= 0

12x - 8(0)= 48

12x= 48

x= 4

and, for y- intercept put x= 0

12(0) - 8y= 48

-8y= 48

y= -6

Hence, the x- intercept (4, 0) and y intercept ( 0, -6).

Learn more bout intercept here:

https://brainly.com/question/14180189

#SPJ2

Answer:87.68

Step-by-step explanation:

Answer:

y=38 °

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

a^2-12a+35

Step-by-step explanation:

(a-7)(a-5)

a^2-7a-5a+35

a^2-12a+35

Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°