What is the surface area of the rectangular prism?

a. 144 m 2
b. 288 m 2
c. 128 m 2
d. 256 m 2

Answer:

C. 7x + 45

Step-by-step explanation:

To start answering this question, let's first distribute the 6 * ( x + 7 ) so that we can add like terms to simplify.

So let's multiply the 6 out to the ( x + 7 ) to get ( 6x + 42 ).

Now the complete expression reads: 6x + 42 + ( x + 3 )

With this, we can add all the like terms( 6x and x, and 42 and 3) together.

So we end up with 6x + x + 42 + 3 = 7x + 45

So the correct answer is C. 7x + 45

Answer:

The value of 5 is 500,000

Step-by-step explanation:

becuse their is 5 numbers behind it making it equivilant to 500,000

Hey there!

EXPANDED FORM:

500,000
+ 60,000

+ 4,000

+ 200

+ 40

+ 02

WORD FORM:

Five hundred 6

Sixty four thousand, two hundred forty two

PLACE VALUE FORM

5: 500,000 (hundred thousand)

6: 60,000 (ten thousand)

4: 4,000 (thousand)

,

2: 200 (hundreds)

4: 40 (tens)

2: 02 (ones)

To sum it is all up {5} is in the: [hundred thousands] place

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

78 is the answer

Step-by-step explanation:

The two angles are complementary so m<A + m<B = 90

we are given m<A = 3x + 9 and m<B = x - 11

substituting we get 3x + 9 + x - 11 = 90

4x - 2 = 90

4x = 92

x = 23

m<A = 3x + 9 = 3(23) + 9 = 78

The factorization of the given expression is:

p(x) = (x - 2.66)*(x - 0.25)

We have the quadratic equation:

12x^2 + 29x - 8

To get the factors we need to find the roots, then we use Bhaskara's formula:

[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}[/tex]

Then the solutions are:

x = (-29 + 35)/24 = 0.25

x = (-29 - 35)/24 = -2.66

Then the factors of the expression are:

(x - 2.66) and (x - 0.25)

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Step-by-step explanation:

if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.

a probability is always

desired cases / possible cases

so, if we pick a single student randomly, how many possible options do we have ?

we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).

therefore, our possible cases to pick a student are 22.

now, how many of these 22 students represent our desired cases ?

male, who does not have an A : 9

so, the probability to pick a student who is male and does not have an A is

9/22 = 0.409090909...

Answer:

The slope of this line is 1/5

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

Answer:

Answer is in attachment

Mark brainliest pls :)

Answer:

the value for the expression for below is (4^2) ^1/4 is 2

Answer:

2

Step-by-step explanation:

[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]

  [tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]

Answer:

area is length x width multiply one side by the other

Step-by-step explanation:

Answer:

1 true

2 false

3 false

4 true

The factor of the quadratic equation will be (x − 1) and (x − 5). Then the correct option is A.

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5.

Then the factor of the quadratic equation will be (x − 1) and (x − 5).

More about the quadratic equation link is given below.

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Answer:

A.

Step-by-step explanation:

The eccentricity of the conic section that is graphed is C. One.

It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.

In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.

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Answer:

The answer is B. Between 0 and 1

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:

because 83-75=8 miles

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.

The center of the circle is at x axis (*, 0), the equation could be:

(x - 6)² + (y - 0)² = 6²

(x - 6)² + y² = 36

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

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Answer:

Step-by-step explanation:

21÷7=3

3 yards per week

hope this helps

Answer:

3 yards per day

Step-by-step explanation:

Given :

To Remember :

Solving :

Answer:

3 hours or 180 minutes

Step-by-step explanation:

This one should be an easy one

First, lets convert everything to units

35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.

Hope it helps :)

Answer:

312 ft²

Step-by-step explanation:

Area of the garden = Length x Width

Area of the garden = 30 x 40 = 1200ft²

Length of the garden and path = Length of the garden + 3 ft on both sides

Length of the garden and path = 30 + 3 + 3 = 36 ft

Width of the garden and path = Width of the garden + 2 ft on both side

Width of the garden and path = 40 + 3 + 3 = 46 ft

Area of the garden and path = Length x Width

Area of the garden and path = 36 x 46 = 1512 ft²

Area of the path = Area of the garden and path - Area of the garden

Area of the path = 1512 - 1200 = 312 ft²

Answer: 312 ft²

Step-by-step explanation:

out of the total possibilities of 20 student council members, 8 are in Nina's math class, and 6 are in Nina's science class.

as I understand the given information, out of these 14 council members, 4 are in her math and in her science class. but this is then irrelevant for the question (and do not add more possibilities), as these 4 are already covered by the 8 and 6 in her individual classes.

remember, a probability is always

desired cases / possible cases

so, let's pick the first random choice :

the probabilty to pick one that is either in her math or her science class is

14/20 = 7/10

because there are 20 total possibilities to pick from, and 14 of these 20 are in at least one of her classes.

now let's pick the second one.

I assume the first pick has not been returned to the pool and cannot be picked a second time.

so, this time we have therefore only 19 total choices, and 13 of them are in at least one of Nina's classes.

so, the probability for the second pick is

13/19

so, the probability that both picks are in at least one of her classes is then the combination of both probabilities (they have to happen together) :

7/10 × 13/19 = 91/190 = 0.478947368...

Answer:

11

Step-by-step explanation:

Answer:

First choice top-down

Step-by-step explanation:

The Similarity Theorem Side-Angle-Side it can be checked here to see what triangles are similar.

All 3 triangles have 2 congruent sides so the triangles are all isosceles.

The base angles of isosceles triangles are congruent so knowing this and that the sum of angles in a triangle is 180° we can calculate the measure of all angles.

180-20 = 160; 160/2 = 80°

180-30 = 150;  150/2 = 75°

Now we can conclude that  Δ JLK is not similar with Δ MNO ≈ ΔPRQ

Answer: 4.52 miles

Step-by-step explanation:

Answer:

2 real solutions

Step-by-step explanation:

Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.

Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.

Step-by-step explanation:

when 2 objects are similar, that means that all the angles of one object are the same as the angles in the other object. and - the scaling factor of one pair of correlating sides is the same for all pairs of correlating sides.

therefore,

x/2.7 = 4.8/3.6 = 4/3

x = 4×2.7/3 = 4×0.9 = 3.6 m

The square of the altitude is equal to the product of the base of the triangles

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

[tex]x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}[/tex]

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

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Answer:

8

Step-by-step explanation:

Answer:

48 + 2x = 120

x = length od long side.

Answer:

x = 7

Step-by-step explanation:

From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.

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

Solving :

⇒ (x)² + (24)² = (x + 18)²

⇒ x² + 576 = x² + 36x + 324

⇒ 36x = 576 - 324

⇒ 36x = 252

⇒ x = 252/36

⇒ x = 7

Apply Pythagorean theorem

Answer:

a. mode

b. median

c. median

Step-by-step explanation:

the mode is the most common number

the median is when you order the numbers in order and use the middle number