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3 years ago

11

I need to know what 7x + 3x =

1 answer:

solong [7]3 years ago

3 0

Answer:

10x

Step-by-step explanation:

7+3=10

just add the numbers if x is unknown

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Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

strojnjashka [21]

Answer:

The missing side is $B = 6.0\ cm$

The missing angles are $\alpha = 56.2$ and $\theta = 93.8$

Step-by-step explanation:

Given

$A = 10\ cm$

$C = 12\ cm$

$\beta = 30$

The implication of this question is to solve for the missing side and the two missing angles

Represent

Angle A with $\alpha$

Angle B with $\beta$

Angle C with $\theta$

Calculating B

This will be calculated using cosine formula as thus;

$B^2 = A^2 + C^2 - 2ACCos\beta$

Substitute values for A, C and $\beta$

$B^2 = 10^2 + 12^2 - 2 * 10 * 12 * Cos30$

$B^2 = 100 + 144 - 240 * 0.8660$

$B^2 = 100 + 144 - 207.8$

$B^2 = 36.2$

Take Square root of both sides

$B = \sqrt{36.2}$

$B = 6.0$ <em>(Approximated)</em>

Calculating $\alpha$

This will be calculated using cosine formula as thus;

$A^2 = B^2 + C^2 - 2BCCos\alpha$

Substitute values for A, B and C

$A^2 = B^2 + C^2 - 2BCCos\alpha$

$10^2 = 6^2 + 12^2 - 2 * 6 * 12 * Cos\alpha$

$100 = 36 + 144 - 144Cos\alpha$

Collect Like Terms

$100 - 36 - 144 = -144Cos\alpha$

$-80 = -144Cos\alpha$

Divide both sides by -144

$\frac{-80}{-144} = Cos\alpha$

$0.5556 = Cos\alpha$

$\alpha = cos^{-1}(0.5556)$

$\alpha = 56.2$ <em>(Approximated)</em>

Calculating $\theta$

This will be calculated using cosine formula as thus;

$C^2 = B^2 + A^2 - 2BACos\theta$

Substitute values for A, B and C

$12^2 = 6^2 + 10^2 - 2 * 6 * 10Cos\theta$

$144 = 36 + 100 - 120Cos\theta$

Collect Like Terms

$144 - 36 - 100 = -120Cos\theta$

$8 = -120Cos\theta$

Divide both sides by -120

$\frac{8}{-120} = Cos\theta$

$-0.0667= Cos\theta$

$\theta = cos^{-1}(-0.0667)$

$\theta = 93.8$ <em>(Approximated)</em>

4 0

4 years ago

Are the fractions 1/2 and 3/6 equivalent?

padilas [110]

1/2 and 3/6 is

equivalent to 6

Let me show you

1.) 1/2 x 3 = 3/6

2.) 3/6 is the same

I hope this helps

5 0

4 years ago

Read 2 more answers

Are you from Tennessee cause your the only 10 I see... respond pls I’m desperate...

grandymaker [24]

Answer:

sheeeeeesh

Step-by-step explanation:

5 0

3 years ago

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and

lara [203]

Answer:

Step-by-step explanation:

f(x)=42-0.45(x) Solution 13.5 dollars expend in 30 Finishing nails

f(x)=42-0.60(x) Solution 18 dollars expend in 30 Common nails

4 0

3 years ago

If m•DBC = 74° and m•ABC = 119°, find m•ABD.

andrew11 [14]

Answer:

193 degrees

Step-by-step explanation:

you add 74 degrees + 119 degrees and that equals up to 193 degrees

5 0

3 years ago