For each sequence, find the first 4 terms and the 10th term.
a) 12-n
b) 5 - 2n
c) n^2+3
d) 2n^2

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The length of line segment SR is 15.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Using Pythagorean theorem.

The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

16² + (RT)² = 20²

256 + (RT)² = 400

Subtract 256 on both sides

(RT)² = 144

Take square root on both sides

RT = 12

By using altitude theorem we find ST:

16/12= 12/ST

Apply cross multiplication

16ST = 144

Divide both sides by 16

ST = 9

Using Pythagorean theorem again:

12² + 9² = SR²

144 + 81 = SR²

225 = SR²

Take square root on both sides

SR= 15

Hence, the length of line segment SR is 15.

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Answer:

A

Step-by-step explanation:

it decreases

Answer:

for this graph the answer is D

Answer:

9.31?

Step-by-step explanation:

Answer:

£19000

Step-by-step explanation:

Discount cost = 5% of 20000 = 5/100 x 20000 = 1000

SO, cost after discount = 20000 - 1000 = 19000

hope this helps

Answer:

Ok,(-5,__) means that -5 is the x intercept and the missing number is the y intercept

So, We need to substitute x with -5 in the equation to get the value of y

x-5y=-15

-5-5y=-15

-5y=-15+5

-5y=-10

-5y/-5=-10/-5

y=2

So,the missing value is 2. (-5,2)

I hope this help.Please give me the brainliest

Step-by-step explanation:

Answer: the answer (-5,2)

Answer:

242

Step-by-step explanation:

22=a/11

22 times 11 = a

242 = a

a= 242

hope this helps

Answer:

The Answer Is (242) that's it I did the exam happily. :)

Answer:2 in. by 3 in

Step-by-step explanation:

only my best guess

Answer:

413.03

Step-by-step explanation:

405 increased by 8.3 is 405+8.3.

[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]

Answer:

413.3 if ADD, 437.5215 if add by percent

Step-by-step explanation:

If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215

If it's add 8.3, then it's 413.3.

Answer:

The answer is D(t) = 160 - 25t

Step-by-step explanation:

well khan academy said it lol

Answer:

28h

Step-by-step explanation:

Complete question:

Nikita calculated the volume of the right triangular prism. Her work is shown below.

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake

Note the shape is a right triangular prism with base sides of 8 cm and height of 13 cm. The height of the prism is 7 cm.

Answer:

Nikita used the wrong measurements when finding the area of the base.

Step-by-step explanation:

The formula for the base area of the triangular prism should be the area of a triangle.

Area of a triangle = 1/2 bh

where

b = base

h = height of triangle

According to her expression she uses the wrong measurement when finding the area of the base.

She did = 1/2 × b × h = 1/2 × 7 × 8 = 56/2 = 28 cm²

But the height of the triangle is suppose to be 13 cm not 7 cm she used

The volume of the prism = Bh

where

B = base area

H = height of the prism

The volume should be

Volume = 13 × 8 × 7 = 728  cm³

Answer:

Nikita calculated the volume of the right triangular prism. Her work is shown below.

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake

Note the shape is a right triangular prism with base sides of 8 cm and height of 13 cm. The height of the prism is 7 cm.

Answer:

Nikita used the wrong measurements when finding the area of the base.

Step-by-step explanation:

The formula for the base area of the triangular prism should be the area of a triangle.

Area of a triangle = 1/2 bh

where

b = base

h = height of triangle

According to her expression she uses the wrong measurement when finding the area of the base.

She did = 1/2 × b × h = 1/2 × 7 × 8 = 56/2 = 28 cm²

But the height of the triangle is suppose to be 13 cm not 7 cm she used

The volume of the prism = Bh

where

B = base area

H = height of the prism

The volume should be

Volume = 13 × 8 × 7 = 728  cm³

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 11 +(n - 1)4 , then

d = 4

The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4

Answer:

The answer is 4

Step-by-step explanation:

Answer:

6296.5

Step-by-step explanation:

Cone volume: 622.0

Cylinder Volume: 5674.5

622+5674.5=6296.5

Answer:

The solution is 11 feet

Step-by-step explanation:

We know that this footbridge has two right triangles that support the bridge, meeting at the center. The triangles will by congruent by AAS, provided we know that each of the triangles are 90 - 65 - 25, and that the hypotenuse of each triangle has a common length of x.

_______________________________________________________

Let us say the side opposite to the 25 degree angle is a, in both triangles. The side opposite to the 65 degree angle is b, but we already know the length of b as it is 20 / 2 = 10 ft. We should find the length of a by tan 25, and, by Pythagorean Theorem, determine the length of x.

a = tan 25 * ( 10 ) ≈ 4.663 ft

b = 10 ft

By Pythagorean Theorem,

a^2 + b^2 = x^2,

( 4.663 )^2 + ( 10 )^2 = x^2,

21.74 + 100 = x^2,

x^2 = 121.74,

x  ≈ 11 ft ( to the nearest foot )

Answer:

Percentage: 55%

Decimal: 0.55

Step-by-step explanation:

11÷20=

0.55

[tex]\frac{11}{20}=\frac{55}{100}[/tex]

or 55%

Answer:

2282 divided by 3over7

Answer:

1304

Step-by-step explanation:

2282:7 =326

326 . 3 = 978

2282 - 978 = 1304

Answer:

x = 70

Step-by-step explanation:

Angles on a line add up to 180 degrees.

180 - 120

= 60

Angles in a triangle add up to 180 degrees.

180 - 50 - 60

= 70

Answer: $80

Step-by-step explanation:

Let the original price of the refrigerator be represented by y.

We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:

= y - (20% of y)

= y - (20/100 × y)

= y - (0.2 × y)

= y - 0.2y

= 0.8y

We are then told that the store then raised the prices by 10% from the lower price. This will be:

= 0.8y + (10% of 0.8y)

= 0.8y + (0.1 × 0.8y)

= 0.8y + 0.08y

= 0.88y

Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:

0.88y = $70.49

y = $70.49/0.88

y = $80.10

y = $80 approximately

The original price of the refrigerator is $80.

Answer:

f(x) = -2x² + 2

Step-by-step explanation:

If you remember the y = x² parent graph, you will be able to derive your equation from visualization.

The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.

Answer:

C.tan 44° = y over 110

Step-by-step explanation:

Took the test

The height of the lighthouse is 106.5m

Using the given diagram, we get

tan 44° = y / 110

0.965 = y / 110

y = 0.965 * 110 = 106.5m

The answer is 106.5m

The height of the object. The angle at which the observer views the topmost point of the object (angle of elevation) The angle at which the observer views the object when the observer is on top of a tower/building (angle of depression).

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If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that David, Malachy and Paul share some sweets in the ratio 4:3:3

All three shared 24 sweets together.

Let x be the number of sweets

4x+3x+3x=24

Add the like terms

10x=24

Divide both sides by 10

x=2.4

Now paul has 3x sweets so 3×2.4=7.2

Hence, Paul get 7.2 number of sweets

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Answer:

The total sum of money is £810

Step-by-step explanation:

The parameters given are;

The ratio of the sum Anne, Becky and Charlotte had = 7:6:5

One of them gave one of the others £9 and the new ratio becomes 6:5:4

The total sum of money remains the same = M

The initial fraction amount of the total sum of money each had is given as follows;

Anne = 7/(7 + 6 + 5)×M = 7/18·M = 0.389·M

Becky = 6/18·m = 1/3·M

Charlotte = 5/18·M = 0.278·M

After one of them gave £9 to one of the others, the fraction amount of the total sum of money each had became;

Anne = 6/(6 + 5 + 4)×M = 6/15·M = 0.4·M

Becky = 5/15·m = 1/3·M

Charlotte = 4/15·M = 0.267·M

Therefore, given that Anne's fraction of the total sum of money increased while Charlotte's fraction of the total sum of money decreased, it was Charlotte that gave Anne £9

Therefore, the fraction of the total sum of money equivalent to £9 is found s follows;

5/18·M - 4/15·M = 1/90·M = £9

Therefore;

M = 90 × £9 = £810

The total sum of money = £810.

Answer:

-3n+11 or 3n+11 or 3n-11 one of those

Step-by-step explanation:

Answer:

The answer is -3n+12

Step-by-step explanation:

It is because you do 9+3 and it is positive so it will be positive 12 (+12).

We got -3n from taking away -3 all the way.

I hope you got help

Answer:

She got one set.

Answer:

20 red sweets

Step-by-step explanation:

do two thirds of 30 and the part that cane out is the red sweets

Answer:

12

Step-by-step explanation:

Sum the parts of the ratio, 2 + 3 = 5 parts

Divide the number of sweets by 5 to find the value of one part of the ratio

30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus

2 × 6 = 12 ← number of red sweets

Answer:

tan(A) = Sin A / cos A

tan A = 4/7*5/3

Answer:

18

Step-by-step explanation:

There is a string that is 3 yards long that is divided into pieces that are 1/6 of yard long.  Divide the total length by the length it was divided into to find the number of pieces.

When dividing with fractions, the second number will be inverted and multiplied by the first number.

3 ÷ (1/6) = 3 × 6 = 18

You will have 18 pieces

Answer:

No real solution implies that there could possibly be imaginary solutions.

Step-by-step explanation:  Extraneous solutions are created be using certain methods to solve the problem. They are not, never were, or never will be solutions. They are created by the process that is used to solve. hope this helps you :)

Answer:

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

[tex]a || b[/tex]

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things