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4 years ago

15.60 to 11.70 percent of change

Mathematics

1 answer:

Marizza181 [45]4 years ago

8 0

15.6 - 11.7 = 3.9

3.9 ÷ 15.6 = .25

25% of change

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The diagram shows two vertical masts, AB and CD, on horizontal ground. The height of AB is 500m and the height of CD is 350m. Th

Zina [86]

Given:

The lines AB and CD, on horizontal ground.

The height of AB is 500 m.

The height of CD is 350 m.

The angle of elevation of B from D is 30°

We need to determine the distance AC.

Length of BE:

Let us construct a line that is parallel to AC.

Let the line be ED.

The length of BE is given by

$BE=AB-AE$

$BE=500-350$

$BE=150$

Thus, the length of BE is 150 m

Length of ED:

The length of ED can be determined using the trigonometric ratio.

Thus, we have;

$tan \ 30^{\circ}=\frac{ED}{BE}$

Substituting the values, we get;

$\frac{\sqrt{3}}{3}=\frac{ED}{150}$

$\frac{\sqrt{3}}{3}\times 150=ED$

$50\sqrt{3}=ED$

Thus, the length of ED is 50√3 m

Length of AC:

From the figure, it is obvious that the sides ED and AC have the equal length.

Thus, we have;

AC = ED = 50√3

Simplifying, we get;

$AC=50 \times 1.732$

$AC=86.6 \ m$

Hence, the length of AC is 86.6 m

5 0

3 years ago

Hi. I need help with these questions. See image for question.

Charra [1.4K]

Answer:

(a) P(1) = 3

(b) P(-2) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

P(x) = x³ + 4x² - 3x + 1

P(1) is x = 1

P(-2) is x = -2

Step 2: Evaluate

P(1)

Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1
Exponents: P(1) = 1 + 4(1) - 3(1) + 1
Multiply: P(1) = 1 + 4 - 3 + 1
Add: P(1) = 5 - 3 + 1
Subtract: P(1) = 2 + 1
Add: P(1) = 3

P(-2)

Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1
Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1
Multiply: P(-2) = -8 + 16 + 6 + 1
Add: P(-2) = 8 + 6 + 1
Add: P(-2) = 14 + 1
Add: P(-2) = 15

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3 years ago

Read 2 more answers

Which inequality is equivalent to |x-4/<9?

Nataliya [291]

Answer: x-4>-9 or x-4<9

Step-by-step explanation:

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3 years ago

Create a storyline (word problem) using the following algebraic expression: 1,000/r

mamaluj [8]

Answer:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Step-by-step explanation:

Create a story line(word problem) means to create a fake or real story by translating an algebraic expression in english.

We can create a story by the given 1,000/r:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Here r = 50....

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3 years ago

A right triangle is _______ an equilateral triangle A. Never B. Sometimes C. Always

hjlf

A . Never equilateral

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4 years ago