6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)

The surface area of the composite figure is 714 sq. in.

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

Given, edge of cube = 4 in.

∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

                                                = 2{150+105+70} sq. in.

                                                = 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

                                                                        = 714 sq. in.

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Answer:

The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².

1 m² = 10,000 cm².

78.5/10,000 = 3,300/n n is the cost per square meter.

78.5n = 10,000 x 3300

n = 420,382.1656

The cost per square meter is $420,382.17.

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

½×½ which will be ¼

Step-by-step explanation:

because

Probability that the starting player wins:

[tex]P_{n} =[/tex]  m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

Let us say that the probability that the first player wins is [tex]P_{n}[/tex]. Then this can be happen in two ways:

If the first player wins in the first move which has a probability: m /n + m

If the first player wins after the second move which has a probability :

n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

Therefore by the law of probability,

[tex]P_{n} =[/tex]  m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

This will allow us to find out the probability of first player winning the game recursively.

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Answer:

2 days 21 hours and 50 minutes

Step-by-step explanation:

There are a couple of ways to solve this. Here is my approach

Convert everything to the lowest unit ie minutes, find the difference and then find the equivalent days, hours and minutes

Note

1 hour = 60 minutes

1 day = 24 hours * 60 minutes/hour = 1440 minutes

So,

7 days, 8 hours, 20 minutes = 7 * 24 * 60 + 8 * 60 + 20 = 10580 minutes
4 days, 10 hours, 30 minutes = 4 * 24 * 60 + 10 * 60 + 30 = 6390 minutes

Difference(elapsed time) = 10580 - 6390 = 4190 minutes

Convert 4190 to days, minutes and hours. This is a process of using whole division to find the quotient and remainder successively

For days, divide by 1440 which is the number of minutes in a day:
4190 minutes ÷ 1440 minutes = 2 whole days  with remainder of 1390 minutes

For hours divide by 60 which is the number of minutes in an hour:
the remainder 1390 minutes ÷ 60 minutes = 21 whole hours with remainder of 50 minutes

So 4190 minutes == 2 days, 21 hours and 50 minutes

The formula should he use willl be 3.14(2). Option B is correct.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Radius,r = 6 feet

Diameter,d=2

Circumfererenc,C

The circumferrence of the circle is;

C=πD

C= 3.14 × 2

The formula should he use willl be 3.14(2).

Hence, option B is correct.

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Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

Answer:

multiply 1/2 by each element in the matrix

Step-by-step explanation:

6. 32

39 15

Answer:

f(a+2)=3a+11/a+2

Step-by-step explanation:

Reason:

sorry but here is no options so I am giving you a example so that you can understand by your own!

Answer;

5r+3

2x-6

X4+10

4y-1

Step by step answer;

So the method of identifying the Monomail is if you see a variable in a constant so it is a Monomail !

[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]

[tex]\text{This gives a total of 20}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{(2n*10)-6=20}[/tex]

Answer:The end of immigration quotas in the 1960s led to

a significant decrease in safe places for refugee immigrants.

a significant increase in discrimination against immigrants.

a significant increase in the number of Asian immigrants.

a significant decrease in the number of Asian immigrants.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

.......STP=90°........

The question was incomplete. Below you will find the missing image.

Only the Saki's triangle can be solved using law of cosines.

Law of cosines formula is used to find missing including angle or missing side.
It is used in SAS and SSS triangles.
If a, b & c are three sides and C be the vertices opposite to side c then,
c²=a²+b²-2ab×CosC
Here in the given image we see that,
In Anna's triangle, there is one side and one angle.
So, it is not possible to solve with law of cosines.
In Yuna's triangle, there are two angles and one side.
So, also it is not possible to solve with law of cosines.
In Carley's triangle, there are three angles.
Also in this case, law of cosines it not possible to use.
In Saki's triangle, there are three sides are given. So, it is a SSS triangle.
We can apply the law of cosines here in this triangle.

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Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:

a length of 3 units and a width of 4 units.

Considering a rectangle of length l and width w, we have that:

For a rectangle with a length of 3 units and a width of 4 units, we have that:

Hence it is the correct option.

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Answer:

A 2 19/64

Step-by-step explanation:

change the proper fractions into mixed fractions then remember to reciprocate the number at your right hand then calculate good day.

A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,

AB║DC║ED║FG

Since the sides are parallel,

∠ABC = ∠FGH = 126°

Also, ∠AHC and ∠GHF lie on the same line, therefore,

∠AHC + ∠GHF = 180°

∠GHF = 180° - 142° = 38°

Now, in ΔGHF

∠GHF + ∠HFG + ∠GFH = 180°

∠GFH = 180° - 126° - 38°

∠GFH = 16°

Hence, the measure of the ∠GFH is 16°.

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Answer:

A. Corresponding Angles

Step-by-step explanation:

1. ∠4 and ∠6 = 180°

2. ∠3 and ∠5 = 180°

3. So, ∠5 and ∠6 are the same angles.

Answer:

so y represents her age right now so if we go back we are subtracting so he age would be y-5

a

Hope This Helps!!!

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

There are 175 students out of the 1,000 would you expect to prefer a silver car.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.

Now, We have there are 14 students out of 80 prefer silver car for their first car.

Hence, By using proportion, we get;

⇒ 14/80 = x / 1000

⇒ 14 × 1000 / 80 = x

⇒ x = 175

Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.

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Answer:

                     175

（￣︶￣）↗　

Step-by-step explanation:

The value of expression is -(x- 4y/3 + 5z/3)

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

1/3 · (-3x + 4y - 5z)

= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)

= -x +4/3*y -5/3 *z

=-(x- 4y/3 + 5z/3)

Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)

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Answer:

12

Step-by-step explanation:

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

The value of the sin theta will be equal to [tex]Sin\theta =\sqrt{\dfrac{2}{3}}[/tex]

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Given that:-

The value of Sin will be calculated as:-

[tex]Sin^2\theta +Cos^2\theta = 1\\\\Sin^2\theta + \dfrac{\sqrt{3}}{2}=1\\\\Sin^2\theta = 1 -\dfrac{1}{3}\\\\Sin\theta = \sqrt{\dfrac{2}{3}}[/tex]

We can see that the value of sin is less than zero therefore

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Answer:

380.1

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]*11*11

A~ 380.13 m^2

nearest tenth: 380.1

Answer:

Step-by-step explanation:

Find the volume of the sample container.

Given:

Volume formula:

Substitute to get:

Find the volume of the trace element, using the given proportion:

The volume of the second parallelepiped will be 1 cm³. According to the given conditions, α is 50% of a, β is 20% of b and γ is 10% of c.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Given condition;

α is 50% of a, β is 20% of b and γ is 10% of c

α =  a/2

β = b/5

γ = c/10

The volume of the first parallelepiped:

V = abc

100cm³=abc

The volume of the second parallelepiped:

[tex]\rm V'= \alpha \times \beta \times \gamma \\\\ \rm V'= \frac{a}{2} \times \frac{b}{5} \times \frac{c}{10} \\\\ V' = \frac{abc}{100} \\\\ V'=\frac{100}{100} \\\\ V' = 1 cm^3[/tex]

Hence, the volume of the second parallelepiped willl be 1 cubic meter.

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