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3 years ago

The diagram shows squares 1, 2, and 3 constructed on the sides of a right triangle.

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

The answer is definitelly C.(Area of 1) + (Area of 2) = (Area of 3)

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2/5(d−10)−2/3(d+6) is

MissTica

Remove parentheses
2/5 • d-10 - 2/3 • d+6

calculate
2/5d-4 - 2/3d-4

the answer
-4/15d-8

3 0

3 years ago

Raquel and her brother Marcus are huge sports fans. Combined they owe 15 sports jersey. Raquel owns double the amount of Marcus'

Ber [7]

2x + 3 + y = 15 Equation

7 0

3 years ago

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

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

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

2 years ago

Which expressions represent rational numbers? Check all that apply.

Blizzard [7]

Answer:

they're all rational numbers

Step-by-step explanation:

rational numbers are positive, negative, or zero integers. they can be decimals as well.

first expression = 2.449.... + 3 = 5.449 (yes, it is rational)

second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)

third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)

fourth expression = 4 + 13 = 17 (yes, it is rational)

fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)

sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)

8 0

2 years ago

Complete the page for 15 points.

sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

So the answer is 15, 16, 17

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

The numbers are 21, 23, and 25

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

The numbers are 44, 46, and 48.

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

The numbers are -4, -3, and -2.

3 0

3 years ago