Find the new number given the Original number and the percent of change

The area of the given shape is 46 cm²

Formulas used:

Area of the triangle = (1/2) × Base × Height

Area of rectangle = Base × Width

Here we have  

The composite figure with a right-angled triangle and a rectangle

In a right-angled triangle,

The base of the triangle = 3 cm

Height of the triangle = 4 cm

Area of the triangle

= (1/2) × base × height

= (1/2) × 3 × 4

=  (1) × 3 cm × 2 cm

=  6 cm²  

In rectangle,

Length of the rectangle = 10 cm

Width of the rectangle = 4 cm

Area of the rectangle

= Length × Width

= 10 cm × 4 cm

= 40 cm²

By the above calculations,

Area of the given figure = Area of triangle + Area of rectangle

= 6 cm² + 40 cm² = 46 cm²

Therefore,

The area of the given shape is 46 cm²

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Answer:

Step-by-step explanation:

Sets B and C have nothing in common and therefore B ∩ C = empty set

Answer:

The screenshot is not included!!

Answer:

6/15

Step-by-step explanation:

sINCE fERANDO hit 6 times and he had 15 tries it is 6/15

Answer: (4+2)•(3^2?

Step-by-step explanation: I hope that helps I don't know how to explain but ya. But that's where u put the parentheses.

Answer:

(4+2×3)^(2)

Step-by-step explanation:

First, because parenthesis are being used, we will start by multiplying 2 by 3, giving us 6

(4+6)^(2)

Then, we add 6 to 4

(10)^2

and we then raise 10 to the 2nd power

100

Answer:

a

Step-by-step explanation:

mrk me brainliest

Answer:

the correct answer is A

Step by step explanation

Answer: The answer is 25               then if it asks for the equation it is A=1/2bh

Step-by-step explanation:

The b or base is 10

The height or h is 5

A=1/2bh

A=1/2(10)(5)

A=1/2(50)

A=25

I hope this helps :)

Answer:

25m^2

Step-by-step explanation:

the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.

Answer:

5x-8      m=5

m= -7/4

Step-by-step explanation:

Answer:

Each strip is 117.6 cm

Step-by-step explanation:

I created a proportion of hearts to others.  On strip A there is 1 heart to 2 others and B there is 1 heart to 3 others.  I added them and got a proportion of 2 hearts to 5 others for both. With a total of 56 hearts, I set up a proportion to determine the total stickers

2/5=56/x

When I cross multiply, I get 2x=280 and x=140

so for the 56 total hearts, I have 140 others.  I added those to get the total stickers and got 196.  I multiplied that by 1.2cm and got 235.2 cm for both. Since both are the same size, just divide that by 2 and get 117.6 cm each.

Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.

Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral

The Volume of the Pyramid with base area   and height  is given by the equation (1)

[tex]Volume = (1/3)Ah....(1)[/tex]

[tex]A = a^{2}[/tex]

[tex]a = Side[/tex]

A = [tex]a^{2}[/tex] = [tex]44cm^{2}[/tex]

[tex]h = 12.6[/tex]

Putting these values in equation (1) we get

[tex]Volume = (1/3)X44X12.6[/tex]

[tex]Volume[/tex] [tex]= 184.8cm^{3}[/tex]

Hence , the volume of the pyramid is 184.8cm³

Answer:

1. C= 2(pi)(d/2)

2. C= 2(pi)r

Step-by-step explanation:

The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)

The probabilities are given as follows:

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The parameter values for this problem are given as follows:

Hence the probability of one senior having the birthday on the same day as the graduation is of:

P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.

The probability of more than one is given as follows:

P(X > 1) = 1 - P(X <= 1).

In which:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

Finally:

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To find the zeros of a polynomial algebraically, you can use the following steps:

Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.

Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:

3x^2 - 2x + 5 = 0

Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.

For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:

x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)

x = (2 +/- sqrt(4 - 60)) / 6

x = (2 +/- sqrt(-56)) / 6

Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.

Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.

For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.

To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:

(-6)^3 - 2(-6)^2 + (-6) - 6 = 0

(-216) - (-72) + (-6) - 6 = 0

-144 - 6 - 6 = 0

-156 = 0

This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.

Answer:(x + 6) + (y + 2)^2 = 13

Step-by-step explanation:

The centre of the circle is halfway along the diameter = (-6, -2)

r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13

So circle equation is (x - -6)^2 + (y - -2)^2 = 13

Answer:

q is around 85-89 and S is 91-95

Step-by-step explanation:

sorry i dont have a protractor on me this is the best i can do

Answer:

Y=4

Step-by-step explanation:

y intercept means x=0

Y=4

Answer:

9 loaves of bread

Step-by-step explanation:

We know

8 days = 6 loaves of bread

1 day = 0.75 loaves of bread

12 days = 0.75 x 12 = 9 loaves of bread

So, she should pack 9 loaves of bread for a 12-day hiking trip.

Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

Step-by-step explanation:

Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.

Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).

This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.

0.75 * 12 = 9.

Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!

answer:

30 yd^2

step-by-step explanation:

plug in,

A = 1/2(b)(h)

A = 1/2(15)(4)

A = 1/2(60)

A = 30 yd^2

Answer:

10.5

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

the answer is 19/20 <3

Step-by-step explanation:

<3

<3

<3

<3

hope you have a good day ^^<3

Answer:

Step-by-step explanation:

Divide: 18 ÷3=?

The answer is 6

Answer:

12 km/h

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

we don’t know if it would change any other way so i would say D, because 1.5 hours, that’s just divide 18 by 3 (6) to get the half hour. then you figure out that 12 km/h (north?) since the half brings it to 18. sorry if that’s confusing i’m bad with explaining

i think the answer is 365 .

Answer:

x=16/3

Step-by-step explanation:

4=3/4x+0

4=3x/4

4=3x/2square

4times4=16

3x/3=16/3

x=16/3

Step-by-step explanation:

Given

Function is  [tex]y=0.18x+0.15[/tex]

where,

[tex]y=\text{Percent of the battery remaining}\\x=\text{time in hours}[/tex]

Comparing the given function with the standard slope-intercept form of the equation [tex]y=mx+c[/tex]

Here, before plugging into the laptop, the percentage of battery is

[tex]y=0.18\times 0+0.15\\y=0.15\ \text{or}\ 15\%[/tex]

The slope of the given function is [tex]0.18[/tex] i.e. in one hour it charges 18% of battery.

Answer:

[tex]4+2 i[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}[/tex]

[tex]4+\sqrt{-4} =4+\sqrt{-1} * \sqrt{4} =4+i2[/tex]

Answer:

the expression of number 4+√(-4) in

a+bi

form is 4+2i

Answer:

1.2r

Step-by-step explanation:

The arc length in terms of r will be equal to 1.2r.

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.

It is given that the angle in radians is 1.2 and the radius is r then the arc length will be calculated as below:-

The arc length = Angle x radius

The arc length  = 1.2 x r

The arc length  = 1.2r

Therefore, the arc length in terms of r will be equal to 1.2r.

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