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3 years ago

Can someone tell me if I’m right?

Mathematics

1 answer:

mestny [16]3 years ago

8 0

You forgot to expand and simplify it... you only did step one, carry on your doing great 4 marks doesn’t come easy :)

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QUICKLY PLEASE!!<br> 18POINTS!<br> 6(3p – 2) = 24

Gekata [30.6K]

Answer:

p= 2

Step-by-step explanation:

So first you want to distribute the 6 to 3p-2 which basically means multiply

6(3p – 2) = 24

6 times 3p is 18 and 6 time -2 is -12

* remember a negative and a positive equal a negative*

18p-12=24

you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36

18p = 36

since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2

so p = 2

if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it was like 18 + p you can subtract because 18 and p arent together

6 0

3 years ago

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).

Reil [10]

Answer:

Part A) $sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}$

Part B) $tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) $sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}$

Step-by-step explanation:

Part A) Find $sin(\alpha)\ and\ cos(\beta)$

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sin(\alpha)=cos(\beta)$

Find the value of $sin(\alpha)$ in the right triangle of the figure

$sin(\alpha)=\frac{8}{14}$ ---> opposite side divided by the hypotenuse

simplify

$sin(\alpha)=\frac{4}{7}$

therefore

$sin(\alpha)=\frac{4}{7}$

$cos(\beta)=\frac{4}{7}$

Part B) Find $tan(\alpha)\ and\ cot(\beta)$

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$tan(\alpha)=cot(\beta)$

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

$14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132$

$x=\sqrt{132}\ units$

simplify

$x=2\sqrt{33}\ units$

Find the value of $tan(\alpha)$ in the right triangle of the figure

$tan(\alpha)=\frac{8}{2\sqrt{33}}$ ---> opposite side divided by the adjacent side angle alpha

simplify

$tan(\alpha)=\frac{4}{\sqrt{33}}$

therefore

$tan(\alpha)=\frac{4}{\sqrt{33}}$

$tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) Find $sec(\alpha)\ and\ csc(\beta)$

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sec(\alpha)=csc(\beta)$

Find the value of $sec(\alpha)$ in the right triangle of the figure

$sec(\alpha)=\frac{1}{cos(\alpha)}$

Find the value of $cos(\alpha)$

$cos(\alpha)=\frac{2\sqrt{33}}{14}$ ---> adjacent side divided by the hypotenuse

simplify

$cos(\alpha)=\frac{\sqrt{33}}{7}$

therefore

$sec(\alpha)=\frac{7}{\sqrt{33}}$

$csc(\beta)=\frac{7}{\sqrt{33}}$

6 0

3 years ago

9/2 divided by 1/4= ? in simplest form

Allisa [31]

Answer: 18

<u>Do Keep Change Flip (KCF)</u>

Keep: 9/2

Change: ÷ into ×

Flip: 1/4 into 4/1

Your new problem should be 9/2×4/1

<u>Multiply</u>

9/2×4/1=36/2

36/2=18

Final Answer: 18

7 0

3 years ago

Complete the following by calculating the cash discount and net amount paid:

Fittoniya [83]

Based on the terms of the invoice, the gross amount on the invoice and the date of payment, the cash discount is $19 and the net amount paid is $931.

<h3 /><h3>What is the cash discount?</h3>

The terms of the invoice are such that if the person pays within 10 days they get a 3% discount. If they pay in 15 days, they get a 2% discount.

The person paid on the 22nd after buying on the 8th so they qualify for the 2% for paying within 15 days.

The cash discount is:

= 2% x 950

= $19

The net amount paid is:

= 950 - 19

= $931

Find out more on cash discounts at brainly.com/question/14883253

#SPJ1

5 0

1 year ago

Please help me with this question.<br> Geometry

natta225 [31]

DC is parallel to AB

You can see this because DB is the traversal by looking at where the angles are formed

4 0

3 years ago