The net of a composite space figure is shown below.
A. What figures make up the composite space figure?
B. What is the surface area of the composite space figure? Round your answer to the
nearest square centimeter.

Answer:

by substitution

Step-by-step explanation:

To check if the solution to an equation is valid

Substitute the solution into the equation and if both sides agree then the solution is correct.

left side = z + 22 = 42 + 22 = 64 = right side

Hence z = 42 is the correct solution

The equation is given as:

  [tex]z+22=64[/tex]

⇒[tex]z+22-22=64-22[/tex]

⇒[tex]z=42[/tex]

So, we have to put the value of z in the 1st equation then we can say whether Frieda's work is correct or not.

⇒[tex]42+22=64[/tex]

[tex]=RHS[/tex]

Hence, Frieda's work is correct.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.

What is an equation example?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

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90.34 because you divide 29,560 and 12 and then the answer to that by 12 and then divide by 4 and then divide by 7 and round

Answer:

[tex]A=\$6,768.75[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$5,600\\ r=0.019\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,600(1+\frac{0.019}{4})^{4*10}[/tex]  

[tex]A=\$5,600(1.00475)^{40}=\$6,768.75[/tex]  

Answer:x=4√6

Step-by-step explanation:

In ∆DCB, cos30°=BC/DB

√3/2*16=BC

BC=8√3

Applying PYTHAGORAS THEOREM in ∆BAC,

(8√3)^2=2x^2

x=4√6

Answer:

[tex]x=4\sqrt6}[/tex]

Step-by-step explanation:

Look at the picture.

ΔACD it's a triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

CD : CB : DB = 1 : √3 : 2.

If BC = 16, then CD = 16 : 2 = 8 and CB = 8√3

ΔABC it's a triangle 45° - 45° - 90°. The sides are in ratio 1 : 1 : √2.

Therefore

AC : AB : CB = 1 : 1 : √2

If CB = 8√3, then AB = x = (8√3)/(√2)

[tex]x=\dfrac{8\sqrt3}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{8\sqrt6}{2}=4\sqrt6[/tex]

The independent variable is manipulated or controlled by the experimenter and is usually placed on the horizontal axis of a graph. The dependent variable is the variable that is measured to see the effect of the independent variable and is usually placed on the vertical axis of a graph.

In a scientific study, the independent variable is the variable that is manipulated or controlled by the experimenter, and it is usually placed on the horizontal axis of a graph. The dependent variable is the variable that is measured to see the effect of the independent variable, and it is usually placed on the vertical axis of a graph.

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Step-by-step explanation:

price before increased be x

After it is increased by 8% it becomes1.08x

equal to 486

so 1 .08x=486

x=£450

The price of the ring before the increase was £450.

This refers to the value given to a product when sold to consumers from the retailers or wholesalers.

Hence,

Given that the price before the increase is X

If increased by 8%,

It becomes 1.08x=486

Collect like terms

x= £450

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ANSWER

Option C and E

EXPLANATION

An arithmetic sequence has a constant difference among the consecutive terms.

The sequence

[tex]18,5.5,-7,-19.5,-32,...[/tex]

has a constant difference of -12.5

[tex]d = 5.5 - 18 = - 7 - 5.5 = - 19.5 - - 7 = - 32 - - 19.5 = - 12.5[/tex]

The sequence

[tex]16,32,48,64,80,...[/tex]

also has a common difference of 16

[tex]d = 32 - 16 = 48 - 32 = 64 - 48 =80 -64 = 16[/tex]

Therefore correct answers are C and E

Answer:

Step-by-step explanation:

An arithmetic sequence has a constant difference among the consecutive terms.

The sequence has a constant difference of -12.5

The sequence also has a common difference of 16

Therefore correct answers are C and E

Answer:

95

Step-by-step explanation:

Week                Number of Beetles

0                               16

1                                16 + (16/4) = 20

2                                20 + (20/4 ) = 20 + 5 = 25

3                                25 + (25/4 ) = 25 + 6.25 ≈ 31

4                                31 + (31/4) = 31 + 7.75 ≈ 31+8 ≈ 39

5                                39 + (39/4) = 39 + 9.75 ≈ 39 + 10 ≈ 49

6                                 49 + (49/4) =  49+ 12.25 ≈ 49+12 ≈ 61

7                                 61 + (61/4) = 61 + 15.25 ≈ 61 + 15 ≈ 76

8                                 76 + (76/4) = 76 + 19 = 95

Hence there will be approximately 95 beetles by 8th week                  

since it has a diameter of 4, then its radius is half that, or 2.

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=2\\ h=10 \end{cases}\implies LA=\pi (2)\sqrt{2^2+10^2} \\\\\\ LA=2\pi \sqrt{104}\implies LA\approx 64.076[/tex]

Answer:[tex]A = 64.076\ units^2[/tex]

Step-by-step explanation:

The  lateral area of right cone is calculated by the following formula

[tex]A = \pi r *\sqrt{r^2 +h^2}[/tex]

Where r is the radius of the cone and h is the height

In this case we know that the diameter d of the base is:

[tex]d=2r[/tex]

So the radius is:

[tex]r=\frac{d}{2}\\\\r=\frac{4}{2}\\\\r=2\ units[/tex]

and

[tex]h=10\ units[/tex]

So the area is:

[tex]A = \pi*2 *\sqrt{2^2 +10^2}[/tex]

[tex]A = 64.076\ units^2[/tex]

Answer:

10.7

Step-by-step explanation:

√114 = 10.7   <----to the nearest tenth

Answer:

10.7 to the nearest tenth.

Step-by-step explanation:

It will be between 10 and 11 because 10^2 = 100 and 11^2 = 121.

Using a calculator. It is 10.67707825.

Answer:

83.33%

Step-by-step explanation:

We first need to evaluate 80% of the first 15 matches in order to determine the number of watches out of 15 which they won.

80 % of 15 = 80/100 * 15 = 12

12 matches out of the first 15 were won.

Since the team won the rest of the 3 remaining matches, the total number of matches won becomes;

12 + 3 = 15

The team thus won 15 matches out of a total of 15 + 3 =18 matches .

The percent of all matches won is ;

15/18 * 100 = 83.33%

Answer:

(7,5) is the vertex

Step-by-step explanation:

Answer: [tex]x=\frac{23}{4}[/tex] and  [tex]x=-\frac{17}{4}[/tex]

Step-by-step explanation:

Given the equation [tex]|4x - 3| = 20[/tex], you can set up two cases:

Case 1: [tex]4x-3>0[/tex]

[tex]4x-3=20[/tex]

Solve for the variable "x", therefore you get:

[tex]4x=20+3\\\\x=\frac{23}{4}[/tex]

Case 2: [tex]4x-3<0[/tex]

[tex]-4x+3=20[/tex]

Solve for the variable "x". Then, you  get:

[tex]-4x=20-3\\\\x=\frac{17}{-4}\\\\x=-\frac{17}{4}[/tex]

Therefore, the solution is:

[tex]x=\frac{23}{4}[/tex] and  [tex]x=-\frac{17}{4}[/tex]

Answer:

C=12.57 ft

Step-by-step explanation:

Answer: 12.56 feet.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

From X to the black dot it is 2 and from the black dot to Y it is 3

From X' to the black dot it is 4 and from the black dot to Y' it is 6

The lengths are getting twice as bigger

Answer:

2

Step-by-step explanation:

U can use this formula

Image 1/image 2

Answer:

I am not sure i am sorry if i was smart i would know but ya sorry

Step-by-step explanation:

::::::::::::::

Answer:

The answer in the procedure

Step-by-step explanation:

I will analyze two cases

see the attached figure to better understand the problem

case a) applying the Pythagoras Theorem

I assume that the hypotenuse is BC

[tex]AB^{2}=BC^{2}-AC^{2}[/tex]

substitute the given values

[tex]AB^{2}=17^{2}-15^{2}[/tex]

[tex]AB^{2}=64[/tex]

[tex]AB=8\ units[/tex]

case b) applying the Pythagoras Theorem

I assume that the hypotenuse is AB

[tex]AB^{2}=BC^{2}+AC^{2}[/tex]

substitute the given values

[tex]AB^{2}=17^{2}+15^{2}[/tex]

[tex]AB^{2}=514[/tex]

[tex]AB=\sqrt{514}=22.67\ units[/tex]

Answer:B!!

Step-by-step explanation:

Answer a is incorrect because only the seniors were questioned and answer c is incorrect because nothing was mentioned in the question about only testing males.

Your answer is B

Answer:

-5(t+3)(t-6)

Step-by-step explanation:

-5²+15+90

= -5(t²-3t-18)

= -5(t+3)(t-6)

The minimum amount of water she needs to completely fill the sphere is; 904.32 inches³

The formula for Volume of a Sphere is given as;

V = ⁴/₃πr³

We are given;

Diameter; d = 12 inches

Thus;

Radius; r = 12/2 = 6

To get the minimum amount of water she needs to completely fill the sphere, we just plug in the relevant values into the volume equation to get;

V = ⁴/₃π(6)³

V = 904.32 inches³

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A. 10% of n is q;          n = 10q

B. 25% of x is 320;     x = 1280

C. 15% of y is q;          y = 6.666....7q

Answer:

a = 90

b = 7.81

c = 60

10.50+4.50x=46.50

This is the fuction to use to solve the problem.

The function that can be used to find the number of rides he went on is

46.50 = 4.5x + 10.50

A linear equation is a mathematical expression involving variables raised to the first power only.

It takes the form ax+b=0, where

a and b are constants, and x is the variable.

Represent the number of rides he went on by x

the total amount on rides will be

4.5x

The entrance fee = $10.50

Total amount = 45x + 10.50

Therefore, the equation that represents the number of rides he went on is

46.50 = 45x + 10.50.

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Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

Possible length of 3rd side would be between "x - y" and "x + y"

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

Answer:

its D between 30 and 150 just took test on ed got a 100

Step-by-step explanation:

The equation of an ellipse with a center at origin, a height of 12 units, and a width of 19 units is x^2/(9.5^2) + y^2/(6^2) = 1.

The student is asking for an equation of an ellipse. An ellipse has a standard form equation given by x^2/a^2 + y^2/b^2 = 1, where 'a' is the semi-major axis and 'b' is the semi-minor axis. The semi-major axis and the semi-minor axis are half of the major axis (width) and minor axis (height) respectively. Here, the width or major diameter of the ellipse is given as 19 units and the height or minor diameter as 12 units.

Thus, the semi-major axis is 19/2 = 9.5 and the semi-minor axis is 12/2 = 6. As the ellipse's center is at the origin, the equation of the ellipse is given by: x^2/(9.5^2) + y^2/(6^2) = 1.

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The equation of the ellipse in standard form with a center at the origin, a height of 12 units, and a width of 19 units is x²/(19/2)² + y²/(6)² = 1.

The equation of an ellipse in standard form with the center at the origin is given by x²/a² + y²/b² = 1, where a is the semimajor axis (half the width) and b is the semiminor axis (half the height).

Given a width of 19 units and a height of 12 units, the semimajor axis will be half of the width and the semiminor axis will be half of the height. So, the equation of the ellipse will be x²/(19/2)² + y²/(12/2)² = 1.

Simplifying, x²/(19/2)² + y²/(6)² = 1. This is the equation of the ellipse in standard form with a height of 12 units and a width of 19 units.

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Answer: D) 36 Inches

Step-by-step explanation:

Answer:

D)36 inches

Step-by-step explanation:

3 feet × (12 inches/1 feet) = 36 inches

Answer:

r=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

x²+2xy-x+y²-y-12

Step-by-step explanation:

(x+y+3)(x+y-4)

= x(x+y-4)+y(x+y-4)+3(x+y-4)

= x²+xy-4x+xy+y²-4y+3x+3y-12

= x²+2xy-x+y²-y-12

The answer is:

The simplified expression is:

[tex](x + y + 3)(x + y - 4)=x^{2} +y^{2} +2xy-x-y-12[/tex]

To solve the problem,  we need to remember how to use the distributive property and how to add like terms.

The distributive property can be defined as follow:

[tex](a+b)(c+d)=ab+ad+bc+bd[/tex]

The like terms are the terms that share the same variable and the same exponent, for example:

[tex]3x+x+ x^{2}=x^{2} +4x[/tex]

We were able to add the first and the second term because they share the same variable and the same exponent.

Now, we are given the expression:

[tex](x+y+3)(x+y-4)[/tex]

So, simplifying we have:

[tex](x + y + 3)(x + y - 4)=(x*x)+(x*y)-(4*x)+(y*x)+(y*y)-(4*y)+(3*x)+(3*y)-(3*4)\\\\(x + y + 3)(x + y - 4)=x^{2} +xy-4x+xy+y^{2}-4y+3x+3y-12\\\\(x + y + 3)(x + y - 4)=x^{2} +y^{2} +2xy-x-y-12[/tex]

Hence, we have that the simplified expression is:

[tex](x + y + 3)(x + y - 4)=x^{2} +y^{2} +2xy-x-y-12[/tex]

Have a nice day!

Answer:

  The number of complex roots is 6.

Step-by-step explanation:

Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.

_____

The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.

Answer:

6

Step-by-step explanation:

Answer:

[tex]M^{2}=3.2[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]P*M^{2}=k[/tex]

step 1

Find the value of k

For P=8, M=2

substitute

[tex]k=(8)(2)^{2}=32[/tex]

The equation is equal to

[tex]P*M^{2}=32[/tex]

step 2

Find the value of M²

when P=10

substitute the value of P in the equation

[tex]10*M^{2}=32[/tex]

[tex]M^{2}=3.2[/tex]

Answer:

17. Scale Factor is  3:1

18. Scale Factor is  1:3

Step-by-step explanation:

Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.

17. Give the scale factor of Figure A to Figure B

Figure A has sides:

Hypotenuse = 15

Perpendicular = 12

Base = 9

Figure B has sides:

Hypotenuse = 5

Perpendicular = 4

Base = 3

So, if we divide all sides of figure A by 3 we get Figure B

So, Figure A : Figure B

3:1

18. Give the scale factor of Figure B to Figure A

Figure B has sides:

Hypotenuse = 5

Perpendicular = 4

Base = 3

Figure A has sides:

Hypotenuse = 15

Perpendicular = 12

Base = 9

If we multiply 3 with the sides of Figure B we can get the sides of Figure A.

So scale factor is 3.

So, Figure B : Figure A

1:3

Answer:

17) 3 : 1

18: 1 : 3

Step-by-step explanation:

Figure A and Figure B are similar triangle.

Scale Factor of A : B

= 9 : 3

= 3 : 1

Scale Factor of B : A

= 3 : 9

= 1 : 3