Determine the number of acute, obtuse, and right angles in the shape above. cute angles.​

Answer:Each step in this pattern increases by on block

Step-by-step explanation:

1-1 block

1-2 block

3-3

4-4

Answer:

Step-by-step explanation:

[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]

[tex] {5}^{m - ( - 3)} = {5}^{5} [/tex]

[tex]m + 3 = 5[/tex]

[tex]m = 2[/tex]

Answer:

[tex] {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}[/tex]

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

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Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

9514 1404 393

Answer:

  solve for f(n) in terms of f(n-1)

Step-by-step explanation:

In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....

__

Usually, such questions arise in the context of arithmetic or geometric sequences.

Arithmetic sequence

The explicit formula for an arithmetic sequence has the general form ...

  a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d

The recursive formula for the same arithmetic sequence will look like ...

  a(1) = a(1) . . . . . . . the first term is the first term

  a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before

__

Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.

__

Geometric sequence

The explicit formula of a geometric sequence has the general form ...

  a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r

The recursive formula for the same geometric sequence will be ...

  a(1) = a(1) . . . . . . the first term is the first term

  a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio

__

Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.

__

Other sequences

Suppose you're given the quadratic sequence ...

  a(n) = pn^2 +qn +r

Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...

  a(n) = c·a(n-1) +d·a(n-2) +e

for the values c, d, and e. Doing that, we find ...

  (c, d, e) = (2, -1, 2p)

So, the recursive relation is ...

  a(1) = p +q +r

  a(2) = 4p +2q +r

  a(n) = 2a(n-1) -a(n-2) +2p

__

Additional comment

The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.

There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)

The range of the function is given by R = { -3 , 5 , 2 , 0 }

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function relation be represented as set A

Now , the value of set A is given by

Set A = { (-1, -3), (5, 5), (2, 2), (3, 0) }

Now , the range is the set of outputs of a relation

So , it is the set of all possible y values in the relation

Substituting the values in the equation , we get

So , the range of the relation is set R = { -3 , 5 , 2 , 0 }

Therefore , the value of R is { -3 , 5 , 2 , 0 }

Hence , the range of the function is { -3 , 5 , 2 , 0 }

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A≈116.06,  the area of the triangle.

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Area: ½ × base × height

here, we have,

the side= 18, 18

base = 14

here, it is a isosceles triangle.

So, using the formula ,

we get,

area= 116.06

hence, A≈116.06,  the area of the triangle.

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Answer:

your answer C.)11,779 feet

Step-by-step explanation:

also the other ch.at got max out....

Answer:

C.)11,779 feet

Step-by-step explanation:

I took the test and got it correct!

Answer:

39

Step-by-step explanation:

the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle. the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by the square root of 3. so quite basically, hypotenuse = short leg square root, long leg = short leg squared :3 ( ex: short leg is 2 , 2^2 = 4, 2^3= 6 )

Answer:

A.) 93

B.) 77

C.) 369

Step-by-step explanation:

Answer:

Its the same one that I answered lol

Step-by-step explanation:

Answer:

4 2/3!

Step-by-step explanation:

Answer: [tex]4 \frac{2}{3}[/tex]

Step-by-step explanation:

Lets start by subtracting 6 by 1.

                  6 - 1 = 5

Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.

So our answer is 4 2/3

Answer:

x=3

Step-by-step explanation:

I did a 2-column proof for the explanation :)

Answer:

Step-by-step explanation:

Here you go mate

∴Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

5x-19=2(x-5)  Equation/Question

Step 2

5x-19=2(x-5)  Remove parenthesis

5x=2x+9

Step 3

5x=2x+9  Subtract 2x from sides

3x=9

Step 4

3x=9  Divide sides by 3

Answer

x=3

Hope this helps

Answer:

3+3+3+3

Step-by-step explanation:

it's ans is 3+3+3

Answer:

I think the answer is D.

sorry if I'm wrong..

Answer:

it has no pic

Step-by-step explanation:

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

Answer:

$66.60

Step-by-step explanation:

Find out how much money Jerome earns from the 1.8% interest.

100% = 3700

1% = 3700 ÷ 100 = 37

1.8% = 37 x 1.8 = 66.60

(Final answer)

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

Step-by-step explanation:

That is an example of an increasing interval.

Answer:

a

Step-by-step explanation:

Answer:

1:4

Step-by-step explanation:

every one space on the green triangle, is equal to four spaces on the red triangle.

It would take her 4590 seconds to jog round the track 51 times

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Kat uses 40 seconds to jog 160 m, hence:

Speed = 160 m / 40 s = 4 m/s

The track length = 140 m + 2 * (π * 70) = 360 m

Time taken to jog round the track (t) is:

4 m/s = 360 m / t

t = 90 s

To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds

It would take her 4590 seconds to jog round the track 51 times

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The value of midpoint of AC will be 0.5.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Point A is at - 2 and C is at 3 on the number line.

Now,

Since, Point A is at - 2 and C is at 3 on the number line.

Hence, The midpoint of AC = (- 2 + 3 ) / 2

                                           = 1/2

                                           = 0.5

Thus, The midpoint of AC = 0.5

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Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

Answer: x= 5/7 or x= 0.714285

Step-by-step explanation: