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2 years ago

Solve the following equation for p: 6/p=x+a

1 answer:

6 0

$\dfrac 6p = x+a\\\\\implies \dfrac 6p \times\dfrac 16 = (x+a) \times\dfrac 16 ~~~~~~;\left[\text{Multiply both sides by}~ \dfrac 16 \right]\\\\\implies \dfrac 1p = \dfrac{x+a}6\\\\\implies p= \dfrac{6}{x+a}~~~~~~~~~~~~~~~~~~~~;[\text{Cross multiply}]$

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Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies tha

Angelina_Jolie [31]

The total number of cookies baked by grandma = 96

Number of grandchildren = 8

As given, all cookies were evenly divided among 8 children, let us assume that everyone except Cindy got equal share. So on being divided equally, it becomes, $\frac{96}{8}=12$ cookies per children.

But, as mentioned that Cindy received 'c' cookies less, so let us suppose Cindy received 'x' cookies.

Expression becomes: $x=12-c$

Hence, Cindy received 12-c cookies.

6 0

3 years ago

HELP PLZZ will give brainliest <3

melisa1 [442]

Answer:

Step-by-step explanation:

First question:

You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B}$

$\dfrac{10}{\sin 30^\circ} = \dfrac{40}{\sin B}$

$\dfrac{1}{0.5} = \dfrac{4}{\sin B}$

$\sin B = 2$

The sine function can never equal 2, so there is no triangle in this case.

Answer: no triangle

Second question:

You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.

$\dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

$\dfrac{10}{\sin 63^\circ} = \dfrac{}{\sin C}$

$\sin C = \dfrac{8.9\sin 63^\circ}{10}$

$C = \sin^{-1} \dfrac{8.9\sin 63^\circ}{10}$

$C \approx 52.5^\circ$

One triangle exists for sure. Now we see if there is a second one.

Now we look at the supplement of angle C.

m<C = 52.5°

supplement of angle C: m<C' = 180° - 52.5° = 127.5°

We add the measures of angles B and the supplement of angle C:

m<B + m<C' = 63° + 127.5° = 190.5°

Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.

Answer: one triangle

3 0

4 years ago

The sum of three consecutive even numbers is 48. What are the smallest of these numbers ?

Ludmilka [50]

Answer:

Step-by-step explanation:

divide 48 by 3 = 16

they must be consecutive even numbers

2 less than and two more than 16 are 14 and 18

14 + 16 + 18 = 48

the smallest is 14

3 0

3 years ago

Two cubes have sides of length 3 cm and 8 cm. what is the ratio of their respective surface areas?

Phoenix [80]

The surface area formula for a cube is: 6 * s^2, where s is the side length.

The two surface areas are:

6 * 3^2 = 54

and

6 * 8^2 = 384

The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:

54/384 = 9/64

The answer is 9/64.

Note that another way to to find the ratio of the squares of the side lengths of the cubes.

7 0

3 years ago

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I need some help with this!!! Plz

melamori03 [73]

I would say to divide 121.10 by 3

5 0

3 years ago

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