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3 years ago

A = b(c + d) for b Answer: Written as an equation

Mathematics

2 answers:

madreJ [45]3 years ago

3 0

Answer: B= A/(C+D)

Step-by-step explanation:

A = B(C+D)

Divide each side by B

A/B= C+D

Reciprocate both sides

B/A = 1/(C+D)

Now multiply each side by A

B = A/(C+D)

Dmitrij [34]3 years ago

3 0

Answer:

$\huge\boxed{b=\dfrac{a}{c+d}\qquad\text{where}\ c\neq-d}$

Step-by-step explanation:

$a=b(c+d)\qquad\text{divide both sides by }\ (c+d)\neq0\\\\\dfrac{a}{c+d}=\dfrac{b(c+d)}{(c+d)}\qquad\text{cancel}\ (c+d)\\\\\dfrac{a}{c+d}=b\to\boxed{b=\dfrac{a}{c+d}}$

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An unfair die is twice as likely to roll an even number than an odd number. what is the probability of it rolling an odd number?

Anarel [89]

The probability is always expressed as a part of the whole. So, it can be in terms of fraction or percentage. The numerator is the number of possible events while the denominator is the number of total events. Let x be the number of times you roll an odd number. So, the number of times you roll an even number would be 2x. The total rolls would then be x + 2x. Thus, the probability of rolling an odd number is

Probability = x/(2x + x) = x/3x = 1/3

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3 years ago

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

3 years ago

PLS HELP ME!!!!!!!!!!

KonstantinChe [14]

Answer:

1) yes, SAS

2) yes, AAS

3) yes, SAS

4) not enough information to know

Step-by-step explanation:

6 0

2 years ago

Problems for you to try.

Alecsey [184]

Step-by-step explanation:

8⁴.... I hope it's correct

HAVE A GOOD DAY!

5 0

3 years ago

Benjamín made 3 times more than Alberto and Carlota 2 times more than Benjamín, so how much is it, help me

vichka [17]

Step-by-step explanation:

you are "hiding" some more information (like how much they made together).

without that we cannot calculate the actual values.

all I can do is set up the equations expressing the given relations between the parts of the total :

a = amount Alberto made

b = amount Benjamin made

c = amount Carlota made

b = 3×a

c = 2×b = 2× 3×a = 6×a

that's it.

your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.

and that is missing.

if it is something like "together they made x", then we would have

a + b + c = x

a + 3a + 6a = x

10a = x

a = x/10

b and c we get then from the first 2 equations by simply using the calculated value of a :

b = 3×(x/10) = 3x/10

c = 6×(x/10) = 6x/10 = 3x/5

7 0

2 years ago