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Lostsunrise [7]
3 years ago
8

Solve the proportion. 5/1=d/9 d=___

Mathematics
2 answers:
MArishka [77]3 years ago
7 0
The correct answer is d=45 :)
Llana [10]3 years ago
5 0
The solution is d = 45.
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If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
3 years ago
What is 505/10×10 written in unit form
Amiraneli [1.4K]

The number becomes in the unit form is a 5 hundreds and 0 tens and  the 5 ones.

According to the statement

We have given that the number and the we have to write in the unit form.

So, For this purpose, we know that the

The unit form is the way to show how many of each size unit are in a number.

From the given information:

The number is a 505/10×10

Now, we have to solve this And the number becomes is

505.

And the

5 hundreds and 0 tens the 5 ones.

The unit form becomes the 5 hundreds and the 5 ones.

So, The number becomes in the unit form is a 5 hundreds and 0 tens the 5 ones.

Learn more about unit form here

brainly.com/question/2140644

#SPJ9

7 0
2 years ago
Solve the equation using zero-product property
dusya [7]
X=2 or -7(answer choice A)
7 0
3 years ago
Read 2 more answers
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $5. At this rate, what is the cost of 7 bags?
Brums [2.3K]

Answer:

$8.75

Step-by-step explanation:

Create a proportion where x is the cost for 7 bags:

\frac{4}{5} = \frac{7}{x}

Cross multiply and solve for x:

4x = 35

x = 8.75

So, the cost of 7 bags is $8.75

8 0
3 years ago
Read 2 more answers
Use the diagram to find the measure of each of the angles.
just olya [345]
Angle AQB is x = 90

Angle ASB is x = 90

Angle ALB is x = 90

Angle ATB is x = 90

Angle ARB is x = 90

<span>BWD is x < 90</span>
8 0
3 years ago
Read 2 more answers
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