The perimeter of the picture is 36 inches. What is the height of the picture ?

I hope this helps you...

∠A ≅ ∠Z

you can determine this by seeing that both angles have two curved lines, therefor showing they have the same measurement.

∠B ≅ ∠Y

you can also determine this by seeing that they both have one curved line showing that they share the same measurement.

∠C ≅ ∠X

once again, you can determine this by seeing that both angles are marked with three curved lines, meaning they share the same measurements.

line AB ≅ line ZY

just like before, you can determine that they are equivalent to each other by seeing that both lines have three dashes showing that they have the same measurement.

line AC ≅ line ZX

you can determine these lines are equivalent because they both have one dash showing they are the same length as each other.

line BC ≅ line YX

once again, both lines have two dashes, showing that they are equivalent in length.

ΔCAB ≅ XZY

you can determine this by seeing that all three angles and all three sides on both triangles share measurements with the other triangle

Given :

Bob is 4 years younger than Ann and 5 years older than Frank. Alice is with 20 years 5 years older than Frank.

To Find :

The age difference (in years) between the oldest and youngest person.

Solution :

Let, age Bob is x.

Age of Ann = x + 4.

Age of Frank = x - 5.

Age of Alice  = 20 .

It is given that Alice is 5 years older than Frank.

x - 5 = 20 - 5

x = 20

So, age of Ann = 20 + 4 = 24

Age of Bob = 20

Age of Frank = 15

Therefore, age difference between oldest and youngest person is 24 - 15 = 9 years.

Hence, this is the required solution.

The age difference (in years) between the oldest and youngest person is; 9 years

Let the age of Bob be x.

Now, Bob is 4 years younger than Ann and 5 years older than frank. Thus;

Age of Ann = x + 4

Age of Frank = x - 5

Alice is 20 years old and 5 years older than frank. Thus;

Age of Alice = 20

Age of frank = 20 - 5 = 15 years

From earlier, we saw that age of frank = x - 5

Thus;

x - 5 = 15

x = 15 + 5

x = 20 years

Thus;

Age of Ann = 20 + 4 = 24 years

We have established that;

Age of Bob = 20 years

Age of Frank = 15 years

Age of Ann = 24 years

Thus, oldest is Ann at 24 years old

Youngest is frank at 15 years

Thus, age difference between oldest and youngest person is; 24 - 15 = 9 years.

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The balance on the loan will be $198,908.

Based on the information given, the amount of interest for the first month will be:

= $200,000 × 0.0412

= $666.67

During the first month, the amount subtracted from the loan will be:

= $12111.96 - $666.67

= $545.29.

The interest accrued for the second month will be:

= $199454.71 × 0.0412

= $664.85

Therefore, the balance on the loan after the second month will be:

= $199454.71 - $547.11

=$198,907.60

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3x+4>=16

3x>=12

x>=4

Therefore the answer is 4

Answer:

it's 10

Step-by-step explanation:

just a guess lol

I like ya cut g

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

I think it is 5.

Step-by-step explanation:

5/8 in decimal form is 0.625. 0.625 x 8 = 5. I hope this helps/ sorry if it didn't.

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:

Answer:

10% of 870 is 87

Step-by-step explanation:

I am so sorry if that wasn't the right answer!

have a blessed day!

2 represent (d) the rate at which the population is growing every day.

The given expression is 100(2) x.

According to the ideal exponential expression f(x) = a(b)x.

‘a' is the function's beginning or starting value.

‘b’ is the growth multiplier or growth factor per unit x.

In our question,

f(x) = a(b)x = 100(2)x.

So, a = 100 = initial value

     b = 2 = growth factor.

Hence, 2 in the expression 100(2)x represents the growth factor or growth multiplier or rate at which the population is growing.  

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Answer:

See the answer below

Step-by-step explanation:

4+1/2/1/8 hope this helps

Answer:

18

Step-by-step explanation:

Answer:

The answer is simple if you use the rule of division.

If you look at the first one you’ll see 3 CPU things. The answer comes out to 12. In order to find the value of it. Just do 27 divided by 3 which should give you 9. So now we know that CPU = 9/each

Records = 5/each

I’m not sure what the 3rd object is but...

3rd object = 4

So now we should have

9 + 4 x 5

Simplified: 13 x 5

Final Answer = 65

There you go

Step-by-step explanation:

Answer:

h = 1,268 cm

Step-by-step explanation:

                   V = (π·r²·h)/3, general formula

                 83 = (π·4²·h)/3, substitute what is given V= 83 cm³ and r = 4 cm

             83 ·3 = (π· 16·h)·3/3, multiply both sides by 3 and solve 4² = 16

               249 = π·16·h, multiply 83·3 = 249 and 3/3 = 1

      249/ π·16 = h , divide both sides by π·16

1,268.146587 = h, solve

             1,268 ≈ h , is rounded to the nearest cm

Answer:

U.S. Currency

Step-by-step explanation:

Answer: Fiat Money

Step-by-step explanation:

Right on Edmentum

A U B is the set of elements which are in A, in B, or in both A.

Since,

A = {2, 3, 6}

B = {2, 4, 5, 7}

To find A U B, we have to write all numbers that are in A and/or in B. The number that are in both sets must not be written again.

A U B = {2, 3, 6, 4, 5, 7}

Writing then in acending order:

A U B = {2, 3, 4, 5, 6, 7}

Answer: A U B = {2, 3, 4, 5, 6, 7}.

Answer:

x = 2600 seats.

Step-by-step explanation:

Let the total number of seats be x.

Given the following data;

Number of seats occupied = 1898 seats

Percentage = 73%

To find the total number of seats;

Translating the word problem into an algebraic equation, we have;

\( \frac {73}{100} * x = 1898 \)

Cross-multiplying, we have;

\( 73x = 1898 * 100 \)

\( 73x = 189800 \)

\( x = \frac {189800}{73} \)

x = 2600 seats.

Therefore, the total number of seats in the theater are 2600 seats.

Answer:

64

Step-by-step explanation:

The answer is 64.

Since the number is 64 above zero, it is represented by a positive number.

2w³ - 13w² + 21w  = 910 is  the equation, in terms of w, that could be used to find the dimensions of the shed in feet.

What does volume mean in plain terms?

The capacity of a solid shape is determined using volume, a three-dimensional quantity.

                  The volume of a closed figure is used to determine how much space it can fill in three dimensions.

Volume = 910 cubic  feet

as per question

           l = 2wc- 7    .................1

           h = w - 3 .....................2

from 1 , 2  and 3

                  v = 910

       lwh = 910

       (2w - 7)w ( w - 3 ) = 910

         ( 2w² - 7w ) ( w - 3 ) = 910

      2w³ - 6w² - 7w² + 21w = 910

       2w³ - 13w² + 21w  = 910

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Answer:

see below for explanation:-

Step-by-step explanation:

#1

\( \displaystyle{ \frac{1}{ \sqrt{7} } }\)

\(\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }\)

\(\displaystyle{ \frac{ \sqrt{7} }{7} }\)

#2

\(\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }\)

\(\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }\)

\(\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }\)

\(\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }\)

\(\displaystyle{2( \sqrt{3} + \sqrt{2} )}\)

#3

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }\)

\(\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }\)

\(\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }\)

\(\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }\)

\(\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }\)

Answer: A- she can not mow 1 and 1/4 in an hour.

Step-by-step explanation:

set up a ratio

\(\frac{.5}{25} =\frac{x}{60}\) (1/2 acre is 25 minutes, x acre in 60 minutes)

cross multiply to solve

.5(60)=25x

30=25x

1.2=x- she can mow 1.2 acres in 60 minutes, 1.2= \(1\frac{1}{5}\)

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

543 i think?

Step-by-step explanation:

Answer:

Let x be the number of gallons of the 20% solution and let y be the number of gallons of the 5% solution.

Your system would be:

x+y=15

0.2x+0.05y=(0.13)(15)

Solve the system using either elimination or substitution method, or a combination of the two.

I am available for one-on-one help. Don't be afraid to ask!

Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤  40

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A rental car company charges $22 per day to rent a car and $0.08 for every mile driven

The maximum amount to spend = $80

Fixed charge per day $22

Charge per mile = $0.08

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤  80

22x + 0.08× 450 ≤ 80

22x + 36 ≤  80

Divided by 2 both sides of an inequality,

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

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Answer:

histogram

Step-by-step explanation:

Any line of the form:

y = (3/2)x + b

Is perpendicular to the given line.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the product between the slopes is -1.

Here we want to find a line perpendicular to:

2x + 3y = 10

We can rewrite this as:

3y = 10 - 2x

y = (10/3) - (2/3)*x

Then the slope of the perpendicular line must be such that:

a*(-2/3) = -1

a = 3/2

Then any line of the form:

y = (3/2)*x + b

Is perpendicular to the given line.

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49