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3 years ago

Find the size of angle X.

Mathematics

1 answer:

hodyreva [135]3 years ago

3 0

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

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A seventh grade class just found a jar of dimes and nickels there are 301 dimes into under 15 nickels in the jar the coins can b

neonofarm [45]

Answer:

20 coins?

Step-by-step explanation:

301 divided by 15??

3 0

4 years ago

Explain how you can use the rules you know for multiplying positive and negative integers to multiply positive and negative frac

love history [14]

Answer:

Whether the answer is positive or negative depends on the number of positive and negative values in the question. The rules are exactly the same as to whether an answer is positive or negative. In the case of fractions, the rules for multiplying fractions apply as well (the numerators in the expression multiply to produce the product's numerator; the denominators in the expression multiply to produce the product's denominator) and the answer should be reduced to lowest terms.

If there is an odd number of negative terms, the answer will be negative.

If there is an even number of negative terms, the answer will be positive.

7 0

3 years ago

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°

KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

$\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

So, we can use the latter parts to solve this

$\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

B = ?

b = 4.0

C = 58°

c = 3.5

$\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}$

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

7 0

2 years ago

Find the slope of (1,8) and (3, 12)

stiks02 [169]

Answer: 4/2

Step-by-step explanation:

subtract 12-8 , it would be 4

then 3-1 , it would be 2

5 0

4 years ago

Amy runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

lapo4ka [179]

That would be (4/6) of 45 minutes, or 180/6 minutes, or 30 minutes.

You could also find her rate: 6 miles / 45 minutes, or 8 miles / 60 minutes.

Write an equation of ratios:

8 mi 4 mi
---------- = ------------
60 min x

Solving for x: 8x = 240; x = 30 minutes

7 0

4 years ago