Please answer this question fast in two minutes

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Answer: b, c, and e

Step-by-step explanation:

I hope I helped

The standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a table as given in the image attached at the end of answer.

The slope of the line will be -

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 2)/(- 4 + 10)

m = - 1/6

The standard form of the equation of straight line is given by -

y - y₂ = m(x - x₂)

y - 1 = -1/6(x + 4)

Therefore, the standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

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[Refer to the image attached for complete question]

Answer: x=4

Step-by-step explanation:

5x=15+5

15+5=20

5x=20

divide 5 on both sides

20/5=4

x=4

Answer:

x=4

Step-by-step explanation:

5x=15+5    add

5x=20       divide

 x=4           simplify

Answer:

c = 21

Step-by-step explanation:

c + 2c + 12 = 75

Combine like terms.

3c + 12 = 75

Subtract 12 from both sides.

3c = 63

Divide 3 on both sides.

c = 21

Answer:

4:7

Step-by-step explanation:

The number of students in the class is:

boys + girls

12 + 16 = 28

There are 28 students.

The ratio of girls to students is:

16:28

Simplify the ratio.

4:7

Answer:

4:7  

Step-by-step explanation:

I got it right on the test

Answer:

x² + 13x + 30

Step-by-step explanation:

(x + 3) (x + 10)

Expand the brackets.

x(x + 10) + 3(x + 10)

x² + 10x + 3x + 30

Add like terms.

x² + 13x + 30

Answer:

=x²+13x+30 is the answer

Step-by-step explanation:

=(x+3)(x+10)

opening the brackets by multiplying

=x(x+10)+3(x+10)

=x²+10x+3x+30

=x²+13x+30

i hope this will help you :)

Answer:

28.

Step-by-step explanation:

I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.

*And I accidentally clicked the one star option, that's why it has such a low score.

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

The value of y is 28.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

m∠CAB = 34

m∠CBA = x - 5

m∠ACB = 4y

Triangle ABC is an isosceles triangle.

AC and BC are sides are equal.

This means,

m∠CAB = m∠CBA

34 = x - 5

34 + 5 = x

x = 39

Now,

The sum of the angles in a triangle is 180 degrees.

This means,

34 + (x -5) + 4y = 180

34 + (39 - 5) + 4y = 180

34 + 34 + 4y = 180

68 + 4y = 180

4y = 180 - 68

y = 112 / 4

y = 28

We can cross-check.

34 + 34 + 4 x 28 = 180

34 + 34 + 112 = 180

180 = 180

Thus,

The value of y is 28.

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Answer: Hold on

Step-by-step explanation: LEt me see this is tricky

Answer: P= 2,800, r= 0.035, n= 12, t= 0.75

Step-by-step explanation:

I guessed and got it right!

Answer:

[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]

Step-by-step explanation:

[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]

Gives the above answer

Answer:

in the picture

Step-by-step explanation:

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

Answer:

y=2(x+2)(x+3)

Step-by-step explanation:

First, we need to factor the right side:

y=2(x^2+5x+6)

Now, we can have an incomplete equation like this:

y=2(x+_)(x+_)

In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!

So, our factored form is

y=2(x+2)(x+3)

Answer:

sin = 12/13 and tan = 12/5

The value of sin α will be 12/13 and tan α  will be 12/5 for the given triangle such that cosα= 5/13.

Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.

We know that

sin²α  + cos²α  =1  ⇒ sin²α  = 1 - cos²α

Given that cosα = 5/13 so by putting it

sin²α  = 1 - (5/13)²

sin²α  = 144/169  ⇒ sinα = 12/13.

Now since tanα = sinα /cosα  

tanα  = (12/13) ÷ ( 5/13)

tanα = 12/5.

Hence the value of sinα will be 12/13 and tanα will be 12/5.

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Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

Answer:

The answer is option C.

Step-by-step explanation:

[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]

Hope this helps you

Answer:c

Step-by-step explanation:

Answer: w might be 9

Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.

Answer:

solution,

The two polygons are same.

[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]

[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate x's

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

Answer:

so the value of x is 8.3333≈8.3

Step-by-step explanation:

3x:10=5:2

[tex]\frac{3x}{10}=\frac{5}{2}[/tex]

by cross-multiplication

3x×2=5×10

6x=50

6x/6=50/6

x=8.33

i hope this will help you :)

Answer:

Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:

2x + 31 = 7x - 24

-5x = -55

x = 11°.

Answer:

a). [tex]V=\frac{U.F}{U-F}[/tex]

b). V = 15 units

Step-by-step explanation:

Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,

[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]

A). By solving the given formula,

    [tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]

    [tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]

    [tex]V=\frac{U.F}{U-F}[/tex]

B). If F = 6 and U = 10 then we have to find the value of V.

    By substituting the given values in the formula,

    [tex]V=\frac{6\times 10}{10-6}[/tex]

    [tex]V=\frac{60}{4}[/tex]

    V = 15 units

    Therefore, focal length (V) of the lens = 15 units

Answer:

12617.13

Step-by-step explanation:

250(1+0.103)^40= 12617.13

hope it help

Answer:

12617.13

Step-by-step explanation:

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

Answer:

Hi !

You need to use the  "cosine rule" :

d² = 24² + 32² - (2 x 24 x 32)cos125°

So == >  d² = 1600 - 1536cos125°

Then ==> d² = 2481.013406

Conclusion == > d = 49.8 nautical miles

The distance between the ships after 2 hours is 49.8 nautical miles

; )

Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

Answer:

The mod-point is (-4,-4)

Step-by-step explanation:

By using mid-point formula

M(x,y)=(x1+x2)/2 ,(y1+y2)/2

putting the values of the coordinates

M(x,y)=(0+-8)/2 ,(-8+0)/2

M(x,y)=-8/2 , -8/2

M(x,y)=(-4,-4)

So the mid-point is (-4.-4)

I hope this will help you :)

Answer:

Price of Bond X : $1,162.89

Price of bond Y : $854.66

Step-by-step explanation:

Given the following information :

Bond X :

Face value = $1000

Yield to maturity (YTM) / market interest rate = 9%

Coupon rate = 11%

Years to maturity = 15 years

Compounding frequency = semianually

Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.

For Bond Y:

Face value = $1000

Yield to maturity (YTM) / market interest rate = 11%

Coupon rate = 9%

Years to maturity = 15 years

Compounding frequency = semianually

Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.

Answer:

see below

Step-by-step explanation:

Formula: Center Not at Origin:

New point = k( x-a) +a, k( y-b) +b  where k is the scale factor and ( a,b) is center of dilation

New point = -2( x-4) +4, k( y-6) +6  

The scale factor is k = -2

Taking the top point ( 1,9)

New point = -2( 1-4) +4, -2( 9-6) +6

                   = -2(-3) +4 , -2(3) +6

                       6+4, -6+6

                         10,0  

Taking the bottom left point ( 1,7)

New point = -2( 1-4) +4, -2( 7-6) +6

                   = -2(-3) +4 , -2(1) +6

                       6+4, -2+6

                         10,4  

Taking the bottom right point ( 2,7)

New point = -2( 2-4) +4, -2( 7-6) +6

                   = -2(-2) +4 , -2(1) +6

                       4+4, -2+6

                         8,4  

Answer: 8435

Step-by-step explanation:

No. of girls = 4562 - 689 = 3873

Total strength = 4562 + 3873

= 8435

Answer:

8435

Step-by-step explanation:

Boys= 4562

Girls= 4562-689= 3873

Total= 4562+3873= 8435

Between 6 and 7

6×6=36

7×7=49

hopefully this helped

The number √37 is lies between whole numbers 6 and 7.

We have to given,

A number is, √37

By the definition of square root, we get;

⇒ √37 = 6.08

And, We know that,

Number 6.08 is lies between whole number 6 and 7.

Hence, We get;

⇒ 6 < √37 < 7

Therefore, The number √37 is lies between whole numbers 6 and 7.

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