Simplify the expression.

52(53⋅52)

The answer is:

[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]

[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]

Since we are working with a right triangle, we can use the Pythagorean Theorem to know the missing side size (Opposite Side).

Pythagorean Theorem formula:

[tex]c^{2}=a^{2} +b^{2}[/tex]

Where:

[tex]c=hypotenuse=73\\a=AdjacentSide=48\\b=OppositeSide[/tex]

So, the opposite side will be:

[tex]OppositeSide=\sqrt{c^{2}-a^{2}}=\sqrt{73^{2}-48^{2}}=\sqrt{5329-2304} \\OppositeSide=\sqrt{3025}=55[/tex]

Then:

[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]

[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]

Have a nice day!

Answer:

Sin F  = 0.7534

Cos F = 0.6575

Tan F= 1.145

Step-by-step explanation:

From the given figure we can see that,

triangle DEF is right angled triangle

Base = DF = 48

Hypotenuse = EF = 73

Height = ED

To find ED

We have ,

Hypotenuse² = Base² + Height²

EF² = DF² + ED²

ED² = EF² - DF² = 73² - 482

ED² = 3025

ED = √3025 = 55

To find Sin (F)

Sin ∅ =Opposite side /Hypotenuse

Sin F = ED/EF = 55/73 = 0.7534

To find Sin (F)

Cos ∅ =Adjacent side /Hypotenuse

Cos F =DF/EF = 48/73 = 0.6575

To find Sin (F)

Tan ∅ =Opposite side /Adjacent side

Tan F = ED/DF = 55/48 = 1.145

The answer is C

Explanation; there are 2 triangles and 3 rectangles

The statement that describes the net of the prism is:

       C. Two triangular bases and three rectangular lateral faces

Net of a solid--

A net is a two dimensional figure which can be folded to get a three dimensional figure.

or we may say it is a pattern which is made when we scatter out different faces of the solid or three dimensional figure.

Answer:

B. 6,700 m

Step-by-step explanation:

Mr. Gephart is traveling from his house to the history museum = 6.7 km

1 km = 1,000 m

so

6.7 x 1,000 = 6,700 m

Answer is B. 6,700 m

Answer:

Step-by-step explanation:

B. 6,700m

Answer:

1,1

Step-by-step explanation:

I did this earlier today

The solution of the system of equations in terms of (x,y) is (1,1)

The system of equations can either be solved using the simultaneous equation method or the elimination method. Here, we will be using the simultaneous equation method.

Given that:

y = -2x + 3 --- (1)

y = x          ---- (2)

Let replace the value of y in equation (2) back to equation (1)

∴

y = -2x + 3  becomes:

x = -2x + 3

x + 2x = 3

3x = 3

x = 3/3

x = 1

Since (x) is = 1

From equation (2), we know that y = x

∴

y = 1

Therefore, we can conclude that the solution of the system of equations in terms of (x,y) is (1,1)

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Answer:

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Step-by-step explanation:

I think the equation should be g(x) = 20(2^x) for it to be exponential.

The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value..

g(0) = 20(2^0) = 20(1) = 20   (initial amount)

g(1) = 20(2^1)  =  20(2) = 40

g(2) = 20(2^2) = 20(4) = 80

g(3) = 20(2^3) = 20(8) = 160

This pattern will continue on

Answer:

15625

Step-by-step explanation:

5x5=25

25 x 25 x 25=15625

Answer:

Step-by-step explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

Answer:

5.18 feet

Step-by-step explanation:  

We have been given that a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 degrees.

We can see from the attachment that side with 20 feet is hypotenuse and side x is adjacent side to the angle 75 degrees.

[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]

Substitute the given values:

[tex]\text{cos}(75^{\circ})=\frac{x}{20}[/tex]

[tex]\frac{x}{20}=\text{cos}(75^{\circ})[/tex]

[tex]\frac{x}{20}*20=20*\text{cos}(75^{\circ})[/tex]

[tex]x=20*0.258819045103[/tex]

[tex]x=5.1763809[/tex]

[tex]x\approx 5.18[/tex]

Therefore, the bottom of the ladder is 5.18 feet away from the base of the building​.

Answer:

y= -3/2x + 1

Step-by-step explanation:

The slope of this line is 2/3. The slope of the line perpendicular to this line will be the negative reciprocal or -3/2.

Write the equation using the slope m=-3/2 and the point slope form.

[tex]y-y_1=m(x-x_1)\\y--2=-\frac{3}{2}(x-4)\\y+2=-\frac{3}{2}(x-4)[/tex]

This is the equation of the line. You can convert it to slope intercept form:

[tex]y+2=-\frac{3}{2}(x-4)\\y+2 = -\frac{3}{2}x + 3\\y=-\frac{3}{2}x +1[/tex]

Answer:

2yz^2-3z^2-5y+7

Step-by-step explanation:

you find the polynomial difference between the two (remember to distribute the negative sign when opening up the parenthesis of the second polynomial. combine like terms and your left with your answer.

Answer:

3yz^2-3z^2-5y+7

Step-by-step explanation:

got it right on test ! Hello!

Answer:

System of Linear Equations

Step-by-step explanation:

Answer:

System of linear equations

Step-by-step explanation:

ANSWER

[tex](f\circ g)(x) = - 8 {x}^{2} + 4[/tex]

EXPLANATION

Given f(x)=-8x+4

and

g(x)=x²

We want to find find an expression for;

[tex]

(f\circ g)(x) = f(g(x))[/tex]

[tex]

(f\circ g)(x) = f( {x}^{2} )[/tex]

We substitute x² into f(x)=-8x+4

This will give us:

[tex]

(f\circ g)(x) = - 8 {x}^{2} + 4[/tex]

Final answer:

Explaining how to calculate the total amount of apple sauce using medium and large apples.

Explanation:

The total amount of apple sauce Patrice can make with 17 medium apples and 23 large apples is:

17 medium apples x amount of apple sauce from one medium apple

23 large apples x amount of apple sauce from one large apple

Add the results from the above two calculations to find the total amount of apple sauce.

Find the circumference of  the circle:

C = 2PIr = 2PI6 = 12PI

Arc XPY is 3/4 of the circle.

XPY = 3/4 x 12PI = 9PI

Any smooth curve connecting two points is called an arc. The length of arc XPY is 9π cm.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

Length of an Arc = 2π×R×(θ°/360°)

where

θ is the angle, that which arc creates at the centre of the circle in degree.

A circle has 360°, while the angle made by arc XY is 90°. Therefore, the measure of the angle made by the arc XPY at the centre of the circle is 270°. Also, the radius of the circle is 6 cm, therefore, the length of XPY is,

Length of XPY = 2π×6cm×(270°/360°) = 9π cm

Hence, the length of arc XPY is 28.2743 cm.

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Answer:

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution.

Parallel lines will have no solution in a system of equations because they never intersect, maintaining a constant distance apart and having the same slope.

In a system of equations, two parallel lines will have no solution. This is because parallel lines never intersect; they have the same slope but different y-intercepts and maintain a constant distance from each other.

According to the theorem if two straight lines do not meet a third line on the same plane, then they do not meet each other, which confirms that they are parallel.

Hence, option (a) 'Parallel Lines' is the correct answer to which type of lines will have no solution in a system of equations. In contrast, option (b) 'Intersecting Lines' represents lines that cross at a single point and have one solution where they intersect, which corresponds to that unique solution of the system.

Answer:

all real values of x

Step-by-step explanation:

The domain is the values that x can take

The domain is all real values of x

Answer:all real numbers

Step-by-step explanation:

Answer: -13

Step-by-step explanation:

5y -5y cancel out and the -12-1=-13 and that’s how you get -13.

The sum or difference of the given expression (5y-12)+(-5y-1) simplifies to -13.

The original problem presented is to evaluate the expression (5y-12)+(-5y-1). The operation between the two parenthesis is a sum (as indicated by the '+').

To solve, execute the operation in each parenthesis then execute the operation between. The operation inside the first parenthesis is a subtraction, yielding 5y-12. Similarly, the operation inside the second parenthesis is also a subtraction, yielding -5y-1. However, it is a good practice to treat subtraction of whole numbers as adding a negative. Finally, the operation between the two results is a sum (5y-12+(-5y-1)).

The desired result is achieved by applying the appropriate algebraic rules. So, we can rewrite this as: (5y-12) + (-5y -1) = 5y -12 -5y -1 = 0y -13 = -13.

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Answer:

The two pieces of pizza are same.

6/8 is the equivalent fraction of 3/4

Step-by-step explanation:

From the figure attached with this answer shows the two pizzas. The first figure shows a pizza which is divided into 4 equal parts. Out of this 4 parts 3 parts are colored. This shows 3/4 fraction.

From the second figure we can see a pizza is divided into 8 equal parts, out this 6 are colored. This shows 6/8 fraction.

Compare two pizzas

When we compare this two colored portion we can see both shows same area of circle.

That means 6/8 is equivalent fraction of 3/4

Answer:

The answer is 50

Step-by-step explanation:

You add up all the numbers and divide the numbers by how many numbers there are.

The answer would be 50!

Answer:

The answer is 1/4

The decimal form is:0.25

Step-by-step explanation:

2/1 x 1/8 + 2x 1/1 x 8+ 2/8= 2 (divide by) 2/ 8 (divide by) 2=1/4

(I added a 1 to 2 because you can't divide a fraction withour two numbers)

I AM NOT A PRO AT MATH ,SO IF I'M WRONG PLEASE LET ME KNOW :)

Answer:

Google says 9?

Step-by-step explanation:

Answer:

[tex]1,125\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces

so

[tex]SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}[/tex]

The formula for distance is [tex]\sqrt{(x_{2} -x_{1}) } + (y_{2} -y_{1}) }}[/tex]

if we plug our points into the equation we get √68

Answer:

x=4

Step-by-step explanation:

We can find the length of RT by using the Pythagorean theorem

sin theta = opposite side/ hypotenuse

sin 60 = 2 sqrt(3)/ RT

Multiply each side by RT

RT sin 60 = 2 sqrt(3)

Divide by sin 60

RT = 2 sqrt(3)/ sin 60

RT = 4

Then

tan theta = opposite side/ adjacent side

tan 45 = x/RT

tan 45 = x/4

4 tan 45 = x

4 = x

To make 8 from 53/6, you need to subtract 5/6. This solution involves converting 8 to the same denominational fraction as 53/6 (which is 48/6) and then subtracting this from 53/6.

The question asks how much you need to subtract from 53/6 to make 8. To find out, we start by expressing the desired final number and the given fraction:

This demonstrates a basic understanding of fraction subtraction and the concept of working backwards to solve a problem, both of which are key skills in mathematics.

Answer:

see below

Step-by-step explanation:

Percent means out of 100

20% = 20/100 which can be simplified

20/100   Divide by 10 on top and bottom

=2/10   Divide by 2 on top and bottom

= 1/5

80% = 80/100 which can be simplified

80/100  Divide by 10 on top and bottom

= 8/10  Divide by 2 on top and bottom

=4/5

15% = 15/100   Which can be simplified

15/100  Divide by 5 on top and bottom

= 3/20

Answer:

The length is 22 and the width is 18.

Step-by-step explanation:

You can solve for the length by using the perimeter formula.

P = 2l + 2w.

You know P = 80. You also know the length is l and the width is w = l - 4.

80 = 2l + 2(l - 4)

80 = 2l + 2l - 8

80 = 4l - 8

88 = 4l

22 = l

This means the width which is 4 meters less is 22 - 4 = 18.

It will be 505.85.

Because 33.5 × 15.1 is 505.85.

33.5x15.1=505.85

505.85 miles is the answer.

Substitute y = x + 2 into y = 3x - 2

x + 2 = 3x - 2

Solve for x in x + 2 = 3x - 2

x = 2

Substitute x = 2 into y = x + 2

y = 4

Therefore,

x = 2

y = 4

Answer:

22.4

Step-by-step explanation:

Is means equals and of means multiply

W = 28% * 80

Change to decimal form

W = .28 * 80

W = 22.4

28 percent of 80 is 22.4

Answer:

22.4

Step-by-step explanation:

80/x = 100/28

80/x = 3.57142857143

times both sides by x

x cancels out on the left and leaves on the right 3.57142857143 x

80/3.57142857143 = x

22.4 = x

Answer:

A=376

the formula is (wl+hl+hw)

Step-by-step explanation: