Angle Relationships

Determine the height of each triangle. Round to the nearest foot.

a. 7 ft
b. 5 ft
c. 8 ft
d. 4 ft

Please select the best answer from the choices provided

Answer:

A. 13

Step-by-step explanation:

The non-vertex angles of a kite are always congruent. Therefore,

m<X = m<Z = 102°

Sum of all angels of a kite = 360°

Thus:

m<X + m<Y + m<Z + m<W = 360°

Substitute

102 + (5x - 4) + 102 + (7x + 4) = 360

102 + 5x - 4 + 102 + 7x + 4 = 360

Add like terms

204 + 12x = 360

12x = 360 - 204

12x = 156

x = 156/12

x = 13

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

Answer:

The surface area is [tex]325.4m^2[/tex]

The lateral surface area is: [tex]292.4m^2[/tex]

Step-by-step explanation:

Given

[tex]L = 3m[/tex] -- Length

[tex]H =17.2m[/tex] --- Height

[tex]W = 5.5m[/tex] --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

[tex]S.A = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]

[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]

[tex]S.A = 2 * 162.7[/tex]

[tex]S.A = 325.4m^2[/tex]

Solving (b): The lateral surface area

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

So, we have:

[tex]L = 2 * (3 +5.5) * 17.2[/tex]

[tex]L = 2 * 8.5 * 17.2[/tex]

[tex]L = 292.4m^2[/tex]

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

Answer:

0.39

Step-by-step explanation:

think about it this way, if you take away the decimal it would be 39 and 04. 04 is another way to write 4 and  4 is less than 39. so 0.04 is less than 0.39

Answer:

0.04 > - 0.39

Step-by-step explanation:

0.04 > - 0.39

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

Have a great day!

Answer: C

Step-by-step explanation:

I did the test and it was right

Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

Answer:

4.5 answer is on the picture below. :) Thank you!

Step-by-step explanation:

Proof...

Answer:B

Step-by-step explanation:

The graph of g(x) is the graph of f(x) shifted to the left 6 units. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Consider the function f(x)= 10ˣ and the function g(x), which is shown below.

g(x)= f(x - 6) = 10⁽ˣ⁻⁶⁾

If we subtract any constant from the variable then the function gets shifted toward the left by constant units.

Similarly, 6 is subtracted from the variable then the function gets shifted toward the left by 6 units.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

Answer:

[tex]-5(3m+5)[/tex]

Step-by-step explanation:

Factor by grouping:

'-5' is a common factor.

Factoring out '-5'....

[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]

Hope this helps.

Answer:

f(x) = -4x² - 24x - 38

Step-by-step explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38

Answer:

12

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

Answer:

There were 80 pieces of colored paper in the package.

Step-by-step explanation:

Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:

25 = 20

100 = X

100 x 20/25 = X

2,000 / 25 = X

80 = X

Therefore, there were 80 pieces of colored paper in the package.

Answer:

Robert can read the books in 129,600 different ways.

Step-by-step explanation:

The order in which the book are read is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Top shelf:

4 books from a set of 6. So

[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]

Middle shelf:

2 books from a set of 3. So

[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]

Bottom shelf:

3 books from a set of 6. So

[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]

Total:

360*3*120 = 129,600

Robert can read the books in 129,600 different ways.

Answer:

The radius is equal to 6.5 feet.

Step-by-step explanation:

To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...

2πr = 40.82

πr = 20.41

3.14r = 20.41

r = 6.5

Now we know that the radius is equal to 6.5 feet.

Answer:

the first one

Step-by-step explanation:

The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.

Answer:

the awnser is 54.9 ( mark as best awnser )

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Answer:

(9-x)

Step-by-step explanation:

Answer:

-30x+147= -171-24x

+24x                +24x

-6x+147= -171

     -147   -147

       -6x= -318

           x=53

Hope this helps!

Answer:

∠MNO = 75°

Step-by-step explanation:

∠mno = 1/2 ( arc MLP - arc MOP )

arc MLP = 241 and arc MOP = 91

so ∠MNO = 1/2 ( 241 - 91 )

241 - 91 = 150

150/2 = 75

Hence, ∠MNO = 75°

Answer:

Step-by-step explanation:

If those choices given (there is one missing) the false statement is the constant term is 3. It's not. -3 is the constant term.

Answer:

Step-by-step explanation:

C. the constant term is not 3

Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]

What is the probability that the soldier is mal-adjusted?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}[/tex]

Step 2: Find Right-Side Limit

Step 3: Find Left-Side Limit

∴ Since  [tex]\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)[/tex]  , then  [tex]\displaystyle \lim_{x \to 5} f(x) = DNE[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

Answer:

And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle  is equal to 127 degrees

Answer:

Option B

Step-by-step explanation:

To calculate the rate of the table is given by the expression,

Rate = [tex]\frac{\triangle y}{\triangle x}[/tex]

For table A,

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    2             10                 -                       -              -

    3             15           15 - 10 = 5        3 - 2 = 1      [tex]\frac{5}{1}=5[/tex]

    5             20          20 - 15 = 5       5 - 3 = 2     [tex]\frac{5}{2}=2.5[/tex]

    8             25          25 - 20 = 5      8 - 5 = 3     [tex]\frac{5}{3}=1.67[/tex]

Therefore, rate is not constant in this table.

For table B

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    3              9                 -                       -              -

    5             15           15 - 9 = 6        3 - 5 = 2      [tex]\frac{6}{2}=3[/tex]

    8             24          24 - 15 = 9       8 - 5 = 3     [tex]\frac{9}{3}=3[/tex]

   10             30          30 - 24 = 6     10 - 8 = 2     [tex]\frac{6}{2}=3[/tex]

Therefore, table B shows a constant rate of 3.

Option B is the correct option.

Answer:

the z score of 105 is 1.03

Step-by-step explanation:

Given that

the mean is 102

And, the standard deviation is 2.9

We need to find the z score of 105

As we know that

Z score = (Observed value - mean) ÷ standard deviation

= (105 - 102) ÷ 2.9

= 1.03

Hence, the z score of 105 is 1.03

The same would be considered and relevant