Find each angle measure. ( Diagrams are not drawn to scale.)​

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

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We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

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7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

Answer:

Step-by-step explanation:

It really is just a matter of substituting the given values into the given equations.

f(x)=-3x

f(2)=-3(2)

f(2)=-6

h(a)=4a

h(4)=4(4)

h(4)=16

g(x)=x^2-1

g(8)=8^2-1

g(8)=64-1

g(8)=63

Answer:

GIVE BRAINLIEST PLZ

Answer:66

Step-by-step explanation:

5.5* 12=66

There you go

Answer:

x=8

Step-by-step explanation:

Hope this helps!!

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

Answer:

Exact form: 41/8

Decimal: 5.125

Mixed Fraction: 5 1/8

Answer:

5 1/2

Step-by-step explanation:

I'm not sure if I'm right but I did 7-2

and 1/4 is 1/2 of an 8th. You might have to wait for someone who is fully sure about the question

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

Answer:

8:3 would be the ratio

Answer:

70%

Step-by-step explanation:

14/20

Divide the top and bottom by 2

7/10

Multiply the top and bottom by 10

7*10

-----------

10*10

70/100

Percent means out of 100

70%

Answer:

70%

Step-by-step explanation:

14/20 and for a percentage it's out of 100 so 20*5 is 100. So, you would have to do 14*5 which is 70. So, it's 70%.

Answer:

product rule

To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base

Answer:

5/7

Step-by-step explanation:

take the basic fact 5 - 3

Answer:

5/7

Step-by-step explanation:

3/7+2/7=5/7

5/7-3/7=2/7

Answer:

B) No

Step-by-step explanation:

10²+15²is not 20²

so its B

Answer:

The mean is 6.6

The median is 16

mode is 18

Step-by-step explanation:

I'm not sure if this is tight but yeah:)

Answer:

Step-by-step explanation:

3³ × 4³ = (3×4)³ = 12³

:::::

3⁴ × 3³ = 3⁴⁺³ = 3⁷

:::::

3⁴ × 4³ = 3 × 3³ × 4³ = 3 × (3³ × 4³) = 3 × 12³ < 12¹²

thats cool to know!!!!!

Answer:

DC

Step-by-step explanation:

If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.

In the smaller shape, GH is in the same place as AB in the bigger one.

Similarly, the smaller shape has DJ in the same place that the larger one has DC.  This means that dC is the answer to question b.

Answer:

x = -4

Step-by-step explanation:

x= 3 is a parallel to y axis. So a parallel line to x = 3 must be parallel to y axis.

A line parallel to y axis has a generic equation: x = h. We know that the line passes to the point with has x coordinate = -4

So the equation is x= -4

Answer:

the graph of y=4 x+3 is a straight line that passes through the point (0,3) and (0

Step-by-step explanation:we can clearly see that the graph of y=4x+3 is a straight line that passes through the x and y axes at the point -0.75 and 3 respectively.hence we could also say that it is a extended line of the line segment passing through (0,3) and (-0.75,0).

The graph is plotted in the 1 ,2 and 3 quadrant.

Answer:

The graph for that would look like this

Step-by-step explanation:

Answer:

where are the numbers?

Step-by-step explanation:

Answer:

Ur in collage??

Step-by-step explanation:

Im in middle school learning this!! and what r the numbers?

Answer:

What is the equation that models this scenario?

✔ A + 5/4 = 19/4

and

How many pounds of apples did Angelica buy?

✔ 14/4 = 7/2

Step-by-step explanation:

Hope this helps!! :)

The equation A + 5/4 = 19/4 represents the number of pounds of apples Angelica bought, and the number of apples Angelica bought is 7/2 pounds.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let A = the number of pounds of apples Angelica bought.

Then the model that represents the number of pounds of apples Angelica bought:

A + 5/4 = 19/4

A = 19/4 - 5/4

A = 14/4 = 7/2 pounds

Thus, the equation A + 5/4 = 19/4 represents the number of pounds of apples Angelica bought and the number of apples Angelica bought is 7/2 pounds.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

-6

Step-by-step explanation:

if they were both positive numbers, it would be 6. But when you multiply a negative by a positive, the answer is negative.

Answer:

-6

Step-by-step explanation:

When you multiply a positive number by another positive number, you will always get a positive number as your answer. Same thing for negative. If you multiply a negative by a negative, you will always get a positive. However, when you multiply a negative by a positive, you will always get a negative number.

Since you know this, you can multiply 2 by 3, which is 6. Because 2 is negative and 3 is positive, you know that the answer must be negative. Therefore, you add the negative symbol to 6, giving you -6.

I hope this isn't too confusing. Please let me know if you have any more questions. Good luck!

Answer:

ok

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Answer:

Step-by-step explanation:

c=a2+b2−−−−−−√

a=182+152−−−−−−−−√

c=324+225−−−−−−−−√

c=549−−−√

c=23.4307

Answer:

x = 17

Step-by-step explanation:

Formula:

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

c² = 289

[tex]\sqrt{c^2} =\sqrt{289}[/tex]

c = 17

Answer:

C

Step-by-step explanation:

A P E X

Answer:

46/117

Step-by-step explanation:

Answer:

46/117

Step-by-step explanation:

this is a type of fraction which can not be simplified

Answer:

x=31/2

Step-by-step explanation:

don't have steps but its right.

Answer:

x = 31/2 = 15 1/2 = 15.5

Step-by-step explanation:

(x- 4.5)/2=5.5

Multiply both sides by 2.

x−4.5=5.5×2

Multiply 5.5 and 2 to get 11.

x−4.5=11

Add 4.5 to both sides.

x=11+4.5

Add 11 and 4.5 to get 15.5.

x=15.5

Answer:

like terms are terms that contains same variable

The required equivalent expression with the least number of terms has 2 terms.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
If three of the terms are like terms, then we can combine them into a single term. Let's say that the expression with 4 terms is:

a + b + c + d

where a, b, and c are like terms. Then we can combine them to get:

(a + b + c) + d

which is an expression with only 2 terms.

So the equivalent expression with the least number of terms has 2 terms. We can do this by combining the like terms to simplify the expression.

Learn more about the number system here:

https://brainly.com/question/22046046

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Answer:

1 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

1 5/6 = 11/6

20/6 - 11/6 = 9/6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation: