At which point is 5/8 located on the number line

Answer:

100 units

Step-by-step explanation:

Lengths of diagonals:

PR = 14

QS = 48

Since all 4 sides are equal in length, it's a rhombus

Length of each side:

sqrt[(14/2)² + (48/2)²]

sqrt(625)

25

Perimeter = 4 × 25

= 100

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,

a² = (14 / 2)² + (48 / 2)²

a² = 49 + 576

a² = 625

a = 25

Then the perimeter of PQRS will be given as,

P = 4a

P = 4 x 25

P = 100 units

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

More about the perimeter of the shape link is given below.

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Answer:

18.5

Step-by-step explanation:

You are given the opposite side, and need to find the hypotenuse, leading you to use sine.

Set it up, like so:

[tex]sin67=\frac{17}{x} \\[/tex]

Multiply everything by x, to remove it from the denominator:

[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]

Divide both sides by sin67:

[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]

Round to nearest tenth:

x = 18.5

Answer:

B. c = 10.8

Step-by-step explanation:

[tex] \frac{5}{6} = \frac{9}{c} \\ \\ c = \frac{9 \times 6}{5} \\ \\ c = \frac{54}{5} \\ \\ \huge \red{ \boxed{c = 10.8}}[/tex]

Answer:

Circumference: 25.12

Step-by-step explanation:

Circumference = 2[tex]\pi r[/tex] or [tex]\pi d[/tex]. ( r stands for radius and d for diameter) Since pi is 3.14, 8 times 3.14 is 25.12.

3.14

x  8

25.12

(If you mean area of the circle its 50.24, circumference times 2)

Answer: 50.24

Step-by-step explanation: The circumference formula is pi (3.14) times diameter, in your case 8.

3.14 x 8 = 25.12

Answer:

64 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hands you please help

Answer:

48π

Step-by-step explanation:

The radius is 4 and the height is 9

V=1/3*π 4^2*9

Simplify:

48π

Answer:

The quantity demanded goes down

Answer:

Hey ya'll! your answer is D. demand decreased

Thank you so much to the guy above me!

Answer:

Area of rhombus = 24 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 6 m

[tex] D_{2} [/tex] = 8 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]

Answer:

The solutions are (0, 4) and (-3, -5).

Step-by-step explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2  + 4 = -9 + 4 = -5.

Answer:

D hope this help :)

Step-by-step explanation:(☞ﾟヮﾟ)☞☜(ﾟヮﾟ☜)

(12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.

The correct option is D.

To make the statement true by inserting parentheses, we need to follow the correct order of operations (also known as the PEMDAS or BODMAS rule).

According to this rule, multiplication and division should be performed before addition and subtraction.

Let's examine the options:

A. 12 + (6 × 11) − 7 = 72

B. 12 + 6 × (11 − 7) = 72

C. (12 + 6) × 11 − 7 = 72

D. (12 + 6) × (11 − 7) = 72

To determine the correct option, let's evaluate each expression:

A. 12 + (6 × 11) − 7 = 12 + 66 − 7 = 71 (not equal to 72)

B. 12 + 6 × (11 − 7) = 12 + 6 × 4 = 12 + 24 = 36 (not equal to 72)

C. (12 + 6) × 11 − 7 = 18 × 11 − 7 = 198 − 7 = 191 (not equal to 72)

D. (12 + 6) × (11 − 7) = 18 × 4 = 72

Thus, (12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.

Learn more about PEDMAS here:

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Answer:

$2.31

Step-by-step explanation:

$35.99/15.6=$2.31

Answer:

divide the number of inches by 12

Step-by-step explanation:

Answer:

25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.

Answer:

ask your math teacher i rember learning this but froget ow

Step-by-step explanation:

Write equations with j own information:

Adult + child = 200

Adult = 200 - child

3.00 Adult + 1.50 child = 510

Combine equations:

3.00(200-child) + 1.50 child = 510

Simplify:

600 -3.00 child + 1.50 child = 510

600 - 1.50 child = 510

Subtract 600 from both sides:

-1.50 child = -90

Divide both sides by -1.50

Child = -90 / -1.50

Child = 60

There were 60 child seats sold and 140 adult seats sold.

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex]   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)

Answer:

option 2

Step-by-step explanation:

The sum of all the three angles of a triangle is 180°

Answer:

A. $204.00

Step-by-step explanation:

Pizzas: 11.80*12=141.6

Chips: 1.59*15=23.85

Sodas: 1.74*15=26.1

Equation:           141.6

                          23.85

                             26.1

                        _______+

                         191.55 closest to $204.00

Answer:

-207.507490745

Answer:

16 square unitsStep-by-step

Step-by-step explanation:

Answer:

The equation is D. C= π × 8.

Step-by-step explanation:

Answer:

6.28 yards

Step-by-step explanation:

C=3.14(2 yards)

Answer:

6.28 is the answer

10cm^

To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.

Let's assume the length of the rectangle is L and the width is W.

The area of the rectangle is L * W.

The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.

The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.

So, the area of one right triangle is (W * L) / 2.

Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).

Therefore, the total area of the octagon is (L * W) - 2 * (W * L).

The total area of the octagon = L * W - 2 * W * L.

We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.

The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.

Therefore, the total area of the octagon is equal to the area of the rectangle.

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

Answer:

x + y = 11

10x + 5y = 80

Step-by-step explanation:

Answer:

Each side is 12 inches long. The area is 144 square inches.

Answer:

12 by 12 inches

Step-by-step explanation:

12 times 4  (congruent) sides =48

Answer:

1/27

Step-by-step explanation:

That means

1/3 * 1/3 * 1/3

1/9 * 1/3

1/27

Answer:

1/27

Step-by-step explanation:

(1/3)^3

1/3*1/3*1/3

1/27

Answer: [tex]x=4.7434[/tex]

Step-by-step explanation:

Use the pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

plug in and solve

[tex]x^{2} +3x^{2} =(3\sqrt{10}) ^{2}[/tex]

[tex]4x^{2} =90[/tex]

[tex]x^{2} =22.5[/tex]

[tex]x=4.7424[/tex]

if you need to solve for the sides

3x = 3(4.7434) = 14.2302