What is the measure of ZXYZ?
X
112
y
A. 170
V
O B. 72°
55°
C. 55°
w
D. 36°

Answer:

10

Step-by-step explanation:

First convert them to improper fractions

5 4/6 = (5×6 + 4)/6= 34/6

4 1/3 = (4×3 + 1)/3=13/3

Now make them have the same denominator. In order to do this, you must multiple 13/3 by 2/2, so both the denominators equal 6.

13/3 × 2/2 = 26/6

34/6 + 26/6 = 60/6 = 10

[tex] \frac{1}{3} (1632 + x) = 726[/tex]

[tex] \frac{1}{3} (x + 1632) = 726[/tex]

[tex] \frac{1(x + 1632)}{3} = 726[/tex]

[tex] \frac{x + 1632}{3} = 726[/tex]

[tex]3· \frac{x + 1632}{3} = 3·726[/tex]

[tex]x + 1632 = 3·726[/tex]

[tex]x + 1632 = 2178[/tex]

[tex]x + 1632 - 1632 = 2178 - 1632[/tex]

[tex]x =546[/tex]

So, the value of x is 546.

Answer: 1130 grams.

Step-by-step explanation:

She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).

Answer:

Step-by-step explanation:

convert into grams

multiply 1000 by 1.6

Now substract 470g from it

subtract 470 from 1600

convert the g back into kg

divide 1130 by 1000

Answer:$24.80

Step-by-step explanation:

Answer:

gutavas get the best gas mileage

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Explanation:

I'll be using x in place of t

The equation given is y = -4.9x^2 + 19.8x + 58

It is of the form y = ax^2 + bx + c which is the standard form for quadratics.

We have,

Plug the first two values into the equation below

h = -b/(2a)

h = -19.8/(2*(-4.9))

h = 2.0204081632653

That value is approximate.

Rounding to the nearest whole number gets us roughly h = 2

Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.

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Extra side notes:

The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to [tex]\dfrac{5\pi}{3}[/tex]. And we know the formula for the length of the arc, therefore, the length of the arc,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

                            [tex]= 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\ ft[/tex]

Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

Learn more about the Length of the Arc of a Circle:

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Answer:

C or 10.5 ft

Step-by-step explanation:

Using simple interest, it is found that the monthly payments are of $854.875.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, the parameters are A(0) = 49000, r = 0.0665, t = 7, hence the total amount is of:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 49000[1 + 0.0665(7)][/tex]

[tex]A(t) = 71809.5[/tex]

Payments over a period of 12 x 7 = 84 months, hence the monthly payments are of:

71809.5/84 = $854.875.

More can be learned about simple interest at https://brainly.com/question/25296782

Answer:

The answers are in the images below.

Step-by-step explanation:

The graph of the function  h(x) = (x + 1)² - 4 is given in attachment and it is a parabola.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is h(x) = (x + 1)² - 4

h of x equal to x plus one whole square minus four.

We have to draw the graph of function  h(x) = (x + 1)² - 4

Let us find some points of the graph by considering the function.

When x=0,

y=-3

When x=1

y=0

when x=2

y=5

when x=3

y=12

Now let us plot these points on the graph, we get a parabola as in attachment.

Hence, the graph of the function  h(x) = (x + 1)² - 4 is given in attachment and it is a parabola.

To learn more on Graph click:

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Answer: what ARE you trying to ask?

Step-by-step explanation: ??

Answer:

There is 1/2  of 4/5 cup servings in a cup of ice cream.

Answer: x=2

Step-by-step explanation:

The diagonals of a rectangle are equal.

Therefore AC=BD,

7x-4=10

7x=10+4

7x=14

x=14÷7

x=2

Answer:

(x+2)(x+8)=0

therefore if x+2=0

x+2-2=0-2

x=-2

and in standard form -2×10ⁿ where n=0

Answer:

[tex]8 + x = 25 \\ x = 25 - 8 \\ 17[/tex]

Step-by-step explanation:

x+7=10

10-7= x

x = 3

3+7=10

Answer:

x = 3

Explanation:

Subtract 7 from 10.

10 - 7 = 3

Therefore, 3 + 7 = 10

Answer: 82

Step-by-step explanation:

Answer:

[tex]686.6 cm^2[/tex]

Step-by-step explanation:

From the volume we can find the surface area of one of the triangle sides, by dividing it by its height. You find out that the surface of the triangle face is [tex]\frac {866}{20}=43.3 cm^2[/tex]. Let's pick two of them since we have two side faces (one close to us in the image, one far away), for a total area of [tex]86.6 cm^2[/tex]. At this point we need to add the area of the rectangular faces, which are three rectangles of length 20 and height 10, for a grand total of [tex]3\times10\times20 = 600 cm^2[/tex].

Adding everything together, we get [tex]600+86.6 = 686.6 cm^2[/tex]

Answer:

c = 686.6

Step-by-step explanation:

A=ah+bh+ch+1/2√﹣a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴

=10·20+10·20+10·20+1/2·√﹣10⁴+2·(10·10)²+2·(10·10)²﹣10⁴+2·(10·10)²﹣10⁴

=686.60254

Answer:

2/14=0.143

-5/12= -0.417

Step-by-step explanation:

The part of the circle with the term is given.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

The matches of the part of the circle with the respective term is given below:

GH ↔ chord

M ↔ point of tangency

MJ ↔ diameter

J ↔ center

MH ↔ radius

GH ↔ secant

Therefore, all the part of the circle are matched with the respective term.

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Answer:

Your answer is right at the top of the trapizoid

Step-by-step explanation:

Answer:

Question 1. You can find the area of the rectangle, by multiplying the length and width of the rectangle, where (x + 2) is the length and (x + 1) is the width.

[tex]\mathrm{Question\:\:2.\quad{(x + 1)(x + 2) = { x }^{ 2 } +x+2x+2}}[/tex]

[tex]\mathrm{Question\:\:3.\quad{{ x }^{ 2 } +3x+2}}[/tex]

Step-by-step explanation:

Steps for finding the area of the rectangle

[tex]\mathrm{(x + 1)(x + 2)}[/tex]

Apply the distributive property by multiplying each term of x+2 by each term of x + 1

[tex]{ x }^{ 2 } +x+2x+2}[/tex]

Combine x and 2x to get 3x

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

We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant

Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac

So now ;

[tex]{:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}[/tex]

[tex]{:\implies \quad \sf D=36-56}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}[/tex]

Now , as D < 0 ,So nature of roots will be imaginary

Answer:

64 = 20 + g

Step-by-step explanation:

Greg's score is g.

Greg's score plus 20 is equal to 64.

In equation form, this is 20 + g = 64

Answer:

61 ft squared

Step-by-step explanation:

To solve the area of this equation, it would be easy to break it into separate rectangles/squares.

The first rectangle will be the one with the dimensions 10 x 4.

This makes the area 40 ft.

The next rectangle will have the dimensions 5 x 3.

This makes the area 15 ft.

The last rectangle will have the dimensions 3 x 2.

This makes the area 6 ft.

Add it all up and you get 61 ft squared.

Answer:

the answer is 61 feet squared

Step-by-step explanation:

Answer:

What value of x is in the solution set of 3(x - 4) = 5x + 2?

Solution:

3(x - 4) = 5x + 2 [Given]

Using the distributive law of multiplication on LHS

3x - 12 = 5x + 2

By grouping the similar terms on either sides and solving for x, we get

3x - 5x = 2 + 12

- 2x = 14

Divide both sides by -2 (by division property of equality)

(- 2x/2 )= 14/2

-x = 7

Therefore, the value of x is -7.

Answer:

3(3x - 2y)

Step-by-step explanation:

9x - 6y

Factor out 3 from the expression

3(3x - 2y)

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Answer:

r = [tex]\frac{A-P}{Pt}[/tex]

Step-by-step explanation:

Step 1: Subtract P from both sides.

Step 2: Divide both sides by Pt.