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The total area of all four walls is 224 square meters.

According to the question,

We have the following information:

A square room has a floor area of 49 square meters.

So, we have:

Area of square = 49 square meters

Side*side = 49

Side = [tex]\sqrt{49}[/tex] m

Side of the square = 7 m

Now, the side of the floor will be the width of the wall.

So, we have the width of the wall = 7 m.

The height of the room is 8 meters.

It means that the height of the wall is 8 m.

Area of 1 rectangular wall = length*width

Area of wall = 8*7

Area of 1 wall = 56 square meters

Now, the are of 4 walls will be (4*56) square meters or 224 square meters.

Hence, the total are of all four walls is 224 square meters.

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Solve;

Therefore, x = -1

26÷ 2.40= 10.833333

Nearest cent means ,2 numbers after decimal point

Then it is 10.83

count 2 numbers to right ,and discard rest of 3333

Then answer is = 10.83

Answer:

150 blue marbles

Step-by-step explanation:

Hello!

If 1/2 of the marbles are yellow, and 1/8 of the marbles are red, then 3/8 of the marbles should be blue.

The percentages are as given:

To calculate the possible number of blue marbles out of the 400 marbles, we can find 37.5% of 400, as there is a 37.5% chance of getting blue for each turn.

Helen should expect to pick out 150 blue marbles.

By definition, a perfect square trinomial is a trinomial that can be written as the square of a binomial. It is in the form:

The simple trinomial is in the form:

Not all the simple trinomials can be written as the square of a binomial, then we need to check if the trinomial follows the structure of the perfect square trinomial. If it doesn't, then the factors won't be the same, and this is the main difference.

a. The given trinomial is:

If it is a perfect square trinomial then:

b. The given trinomial is:

Let's check if it is a perfect square trinomial:

The two unit vectors orthogonal to both j-k and i+j  are [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

Let a bar = j- k  = < 0,1,-1>

b bar = i+j = <1,1,0>

the cross product a x b bar is orthogonal to both a and b bar

= i ( 0-(-1) ) -j ( 0-(-1) ) + r (0-1)

= i-j-k

A unit vector is a vector whose length is 1 unit

There the unit vector is :

[tex]\frac{i-j-k}{\sqrt{1^2+(-1)^2+(-1)^2} } = \frac{i-j-k}{\sqrt{3} }[/tex]

= [tex]\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

The second unit vector orthogonal to both a and b bar would be negative of the previous vector.

= [tex]-\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

Hence the two unit vectors orthogonal to both j-k and i+j are  [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

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The function is given as,

It is asked to find the value of the expression,

This can be obtained by replacing 'x' by 7 in the given expression of the function,

Resolve the parenthesis,

Simplify the terms further,

Thus, the value of the expression f(7) is obtained as,

Answer:

Step-by-step explanation:

The y-value of Function A when x = - 2 is less than the y-value of Function B when x = - 2.

Answer:

check the attached files.

The area of the circle can be calculated with the following formula

First let's find the radius

The answer would be 200.96 square yards

Answer:

  B.  Distributive Property

Step-by-step explanation:

You want to know the reason in the proof that best supports the transition from 5. 99-3x = 12(x+2) to 6. 99-3x = 12x+24.

You will notice that in the transition from

  5. 99-3x = 12(x+2)

to

  6. 99-3x = 12x+24

the expression 12(x+2) has been replaced by the expression 12x+24.

The property of addition and multiplication that makes it true that ...

  12(x +2) = 12x +24

is the distributive property of multiplication over addition. That property tells you that parentheses can be eliminated by multiplying each of the terms inside by the factor outside.

The area is 25π square inches

Given a radius, r = 5 in.

The area of a circle is given by the formula:

Substituting the value of r, we have:

The area is 25π square inches

Explanation

We are given the following equation:

We are required to determine the value of x.

This is achieved thus:

Hence, the answer is:

Answer:

the answer is c actully

Step-by-step explanation:

iv'e took that test b4 so you welcome

Step 1

Given;

Required; To write the answer in exponential form

Step 2

Answer;

As given by the question

There are given that function

Now,

To find the value of r(a^2), put x = a^2 into the function

Then,

Hence, the function is shown below:

Yesterday Ali had n Baseball cards.

Today he gave away 6 cards.

We are asked to write an expression for the number of cards Ali has left.

Ali had a total of n cards and he gave away 6 from them.

So, we have to simply subtract 6 cards from the total n cards.

Therefore, the expression is n - 6 represents the number of cards Ali has left.

Given: Different statement

To Determine: Which of the statement would give a valid conclusion

Solution

Please note that the statement must be a true representation of the population

We have to use the simple interest formula

Where P = 13,000, r = 5% (0.05), t = 90 (0.25 years). Let's replace these values to find the interest

Because we have to add the total interest with the amount borrowed.

Given data:

The given figure is shown.

The area of the given figure is,

Thus, the area of the composite figure is 978 sq-inches.

Answer:

Step-by-step explanation:

I would recommend looking up the magic trig hexagon, it has all of these identities and more within it.

1 - this corresponds with C as sin^2(x)+cos^2(x)=1

1-cos^2(x) - this corresponds with A, using the identity from number 1, we can rewrite it in the form sin^2(x)=1-cos^2(x)

cot(x) - for this it is important to know that cotangent is the inverse of tangent. Since tan(x)=sin(x)/cos(x), cot=cos(x)/sin(x) which is B.

sec^2(x) - much like the cos and sin pythagorean identity, sec and tan are related. sec^2(x)=tan^2(x)+1 which is answer choice E.

tan(x) - this is sin(x)/cos(x), choice D.

we have the points

(9,7) and (8,7)

Note that: The y-coordinates of both points are equal

that means

we have a horizontal line

therefore

Given the expression:

Let's simplify the expression.

To simplify the expression, we have:T

Solving further:

Apply the multiplication rule for exponents.

ANSWER:

Explanation:

ANSWER

P(gold marble) = 1/12

EXPLANATION

In total, there are:

36 marbles in the bag, where only 3 are gold marbles.

The probability is:

In this case, the number of posible outcomes is 36, because there are 36 marbles in the bag. The number of times the event can happen is 3, because there are 3 gold marbles:

Solution:

Given the expression below

Applying the combination formula below

The binomial coefficient will be

Hence, the answer is 56

The given question is

Use the identity

Then replace the denominator by sec^2 (x)

Since sec is the reciprocal of cos, then

Replce sec^2(x) by 1/cos^2(x)

Since denominator of denominator will be a numerator

Use the value of tan

Replace tan by sin/cos

Reduce cos(x) up with cos(x) down

Use the identity

Replace 2 sin(x)cos(x) by sin(2x)

The answer is

2 sin(2x)

we have that

K is the center of circle

J -----> point of tangency

segment IK is a radius

segment JL is a chord

segment GI is a secant

segment JI is a diameter

segment GJ is a tangent

arc JIL is a major arc

arc JL is a minor arc

arc JLI is a half circle (180 degrees)

Part 2

we have that

arc ST

Remember that

arc ST+87+72=180 degrees ------> by half circle

so

arc ST=180-159

arc WV

we have

arc WV+arc UV=180 degrees -----> by half circle

arc UV=72 degrees

so

arc WV=180-72

arc VUT

arc VUT=arc VU+arc UT

substitute given values

arc VUT=72+87

Without dividing, we can tell that 30:6 has smaller quotient between 30:5 and 30:6.

According to the question,

We have the following two expressions:

30:5 and 30:6

Now, we can easily find which expression has a smaller quotient when the dividend is the same. We need to look at the divisor. If the dividend is the same then the quotient will be smaller for the one with the greater divisor.

In this case, 30:6 has a greater divisor than 30:5 (6 is larger than 5). So, it will have smaller quotient.

Now, we can prove this by dividing both the expressions.

30/6 = 5

(So, it has smaller quotient.)

30/5 = 6

Hence, 30:6 has smaller quotient than 30:5.

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Reflection rule over y - axis is given as

(x , y) ------------ (-x, y)

This implies that the y - axis will remain the same and the x - axis will be negated

Pre image ABC at point (2, -1)

The reflection over y - axis will be

ABC A'B'C' A''B''C'' A'''B'''C'''

(2, -1) -----------------(-2, -1) ----------------------(2, -1) -------------------(-2, -1)

ABC A'B'C' A''B''C'' A'''B'''C'''

(2, -4) (-2, -4) (2, -4) (-2, -4)