All categories

3 years ago

What is the length of the missing side FP? Round the answer to the nearest tenth please.

Mathematics

2 answers:

Sauron [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Considering the given triangle KFP, to determine FP, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

KP/SinF = FP/SinK

Therefore

66/Sin 85 = FP/Sin 49

Cross multiplying, it becomes

FPSin85 = 66Sin49

0.996FP = 66 × 0.755

0.996FP = 66 × 0.755 = 49.83

FP = 49.83/0.996

FP = 50.0 yards

kirill [66]3 years ago

5 0

Answer:

Step-by-step explanation:

Xem xét các tam giác cho KFP, để xác định FP, chúng tôi áp dụng các quy tắc sine. Nó được thể hiện như a/SinA = b/SinB = c/SinCWhere a, b và c là chiều dài của mỗi bên của tam giác và góc A, Angle B và góc C là các góc tương ứng của hình tam giác. So sánh nó với tam giác nhất định, biểu hiện becomesKP/SinF = FP/SinKTherefore66/Sin 85 = FP/Sin 49Cross nhân, nó becomesFPSin85 = 66Sin 490.996 FP = 66 × 0.7550.996 FP = 66 × 0,755 = 49.83 FP = 49.83/0.996 FP = 50,0 yards

You might be interested in

The ratio of red pens to blue pens in a package is 2:5. If there are 35 blue pens in the package, how many red pens are in t

prisoha [69]

Answer:

10 red pens

Step-by-step explanation:

6 0

3 years ago

Factorise fully the following: a) x² + 2x b) 2x² - 6x c) 15x - 10x³ d) 9x² + 3x³

Lostsunrise [7]

Answer:

a) $x(x+2)$

b) $2x(x-3)$

c) $5x(3-2x^2)$

d) $3x^2(3+x)$

Step-by-step explanation:

a) $x^2+2x$

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

$x(x+2)$

b) $2x^2-6x$

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

$2x(x-3)$

c) $15x-10x^3$

What about this one?

The common factor of this one is 5x, so our factored form would be

$5x(3-2x^2)$

d) $9x^2+3x^3$

The common factor of this one is $3x^2$ , so our factored form would be

$3x^2(3+x)$

6 0

3 years ago

What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

3 0

3 years ago

the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.

laila [671]

The perimeter of a rectangle is length + length + width + width.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation: (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer. 26cm is 3cm more than 23cm. 26cm + 26cm + 23cm + 23cm gives us 98cm. The length is 26cm and the width is 23cm.

7 0

3 years ago

PLEASE HELP MEE!! SHOW YOUR WORK PLS

sleet_krkn [62]

Answer:

(8, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 16

5y = 2x - 56

Step 2: Solve for x

Substitute in y: 5(x - 16) = 2x - 56
Distribute 5: 5x - 80 = 2x - 56
[Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
[Addition Property of Equality] Add 80 on both sides: 3x = 24
[Division Property of Equality] Divide 3 on both sides: x = 8

Step 3: Solve for y

Define original equation: y = x - 16
Substitute in x: y = 8 - 16
Subtract: y = -8

5 0

3 years ago