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4 years ago

When a number is decreased by 54%, the result is 28. What is the original number to

Mathematics

1 answer:

Brums [2.3K]4 years ago

6 0

Answer:

x = 60.9

Step-by-step explanation:

Let x represent the number

x - 54%x = 28

x - 0.54x = 28

0.46x = 28

Divide both sides by 0.46(coefficient of x)

x = 28/0.46

x = 60.86

to the nearest tenth

x = 60.9

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I’m tired and I need to explain this. But I don’t feel like writing it

alina1380 [7]

Answer:

area of the figure A is 7.5m^2

Step-by-step explanation:

figure A is the combination of rectangle and triangle.

area of figure A = area of triangle + area of rectangle

= 1/2 X b X h + L X b

= 1/2 X 1 X (1+1+1) + (1+1+1) X (1+1)

= 0.5 X 1 X 3 + 3 X 2

= 1.5 + 6

= 7.5 m^2

8 0

2 years ago

Read 2 more answers

Can someone help me with my algebra?

SIZIF [17.4K]

Answer:

The top graph

Solutions:

-2

Step-by-step explanation:

The given quadratic function in factored form is

$f(x) = - (x + 2)(x - 2)$

This is a parabola that has x-intercepts at (-2,0) and (2,0)

This parabola opens downward because the leading coefficient is less than 1.

The second function is

$g(x) = 2 |x + 2|$

This is an absolute value function with vertex at (-2,0).

Therefore the graph that shows the solution to f(x)=g(x) is the top graph.

Hence the solution is x=-2,x=0

4 0

3 years ago

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Katena32 [7]

Answer:

A) A = 27.3°, B = 56.1°, C = 96.6°

Step-by-step explanation:

<u>Use the Law of Cosines:</u>

A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°

Correct choice is A.

3 0

3 years ago

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver

Andre45 [30]

<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

$112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\$

Notes:

1 inch = 2.54 cm exactly
The conversion factor $\frac{2.54 \text{ cm}}{1 \text{ in}}$ is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
Think of "square inches", aka $\text{in}^2$ , as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.

5 0

2 years ago

Use the pythagorean theorem to prove that this point lies on the unit circle. Find csc(0) where 0=-120.

exis [7]

By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.

<h3>How to prove this point lies on the unit circle?</h3>

In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 120

Reference angle = 60°.

For the coordinates, we have:

sin(-120) = -sin(60) = -1/2.

cos(-120) = -cos(60) = -√3/2.

By applying Pythagorean theorem, we have:

z² = x² + y²

z = √((-1/2)² + (-√3/2)²)

z = √(1/4 + 3/4)

z = √1

z = 1.

Read more on unit circle here: brainly.com/question/9797740

#SPJ1

4 0

2 years ago