Angle A and Angle B are vertical angles. If the measure of Angle A is 30 degrees, what is the measure of Angle B?

Answer:

a+4d = 96

Step-by-step explanation:

Given:  fifth term of an arithmetic sequence is 96

This means,  a+4d = 96

Where, a is the first term in the series and d is the common difference,

Since, the terms is 5th therefore we can say that

a+4d = 96

a = 96-4d

Answer:

B) an = 18n + 6

Step-by-step explanation:

Answer:

Mean: 50.4

Median: 58

Mode: None

Range: 76

Step-by-step explanation:

The mean is all the numbers added together and then divided by 5.

(62 + 58 + 92 + 16 + 24) ÷ 5 = 50.4

The median is the number in the middle. First, arrange the numbers from least to greatest and then pick the one in the middle

16, 24, 58, 62, 92

The mode is the number that appears the most. There is no mode in this data set because every number appears once.

The range is the biggest number subtract by the smallest number.

92 - 16 = 76

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

1+1 equals 2 ok are you a ok bye

Answer:

The last answer is it I think.

Step-by-step explanation:

Answer:

A = 53° (Rounded to the nearest whole number)

Step-by-step explanation:

Since the angle needs to be found out and it's adjacent as well as hypotenuse is given we will used the Cosine ratio;

Cos(A) = [tex]\frac{26}{43}[/tex]

A = Cos⁻¹ ([tex]\frac{26}{43}[/tex])

A = 52.79 or 53

Hope this helps!

Answer:

Step-by-step explanation:

Answer is in the pic I promise nothing bad.

Answer:

Step-by-step explanation:

The area of the tabletop:

Answer: my friend up there did it right

Step-by-step explanation:

Answer:

D. infinitely many solutions

Step-by-step explanation:

to find how many solutions the equation have, we can solve it

here's the given equation:

2(2x-3)+6=4x

our goal is to isolate the variable onto one side

do the distributive property shown in the equation (multiply both 2x and -3 by 2)

4x-6+6=4x

combine like terms (add -6 and 6)

4x=4x

subtract 4x from both sides, as we still have the variable on both sides

0=0

0 is always equal to 0; that's an identity

if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions

Answer:

D. Infinitely many solutions.

Step-by-step explanation:

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]

                          [tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]

Answer:

x = Adjacent    B). Tangent

Step-by-step explanation:

x = Adjacent

B). Tangent

Answer:

see explanation

Step-by-step explanation:

In relation to the angle 37°

The side opposite is labelled 14 → A

The adjacent side is labelled x → B

Using the trig function tangent would enable x to be found, that is

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex]

Answer:

Total surface area of Die = 216 inch²

Step-by-step explanation:

Given:

Length of one side of die = 6 inches

Find:

Total surface area of Die

Computation:

Total surface area of Die = Total surface area of cube

Total surface area of cube = 6(side)²

Total surface area of Die = 6(Length of one side of die)²

Total surface area of Die = 6(6)²

Total surface area of Die = 6(36)

Total surface area of Die = 216 inch²

Answer:

Step-by-step explanation:

a. Associative property

b. Identity property

c. Commutative property

d. Properties of Zero

e. Properties of Zero

f. Associative property

Answer:

5/9

Step-by-step explanation:

it's literally telling you the answer and asking you

If they want the odds in favor then it's the odds of the event happening

Answer:

Step-by-step explanation:

Putting value of n = - 8 in the equation

F(n) = 2n− 5

F(-8) = 2(-8) - 5

= - 16 - 5 = - 21

Answer:

Step-by-step explanation:

Radius = 28 : 2 = 14 cm

Area = radius^2 x π = 14^2 x π = 196 π cm^2

Answer:

The radius is 13

The area is 530.93

Step-by-step explanation:

To find the radius of a circle, you divide the diameter (26) by 2.

And I dunno abt the area :') I just used a calculator

Question isn't clearly stated.

The. Probability o

Answer:

Step-by-step explanation:

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Given a six sided die : (1, 2, 3, 4, 5, 6)

Multiple of 3 = (3, 6) = 2

Getting a multiple of 3 on a single roll :

P(multiple of 3) = 2 / 6 = 1/3

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

Answer:

Step-by-step explanation:

So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.

The area of a rectnagle is just length x width.

So lets plug in our values for our two ractnagles, and see what we get:

6*8

=

48

So our first rectangle has a area of 48

Next we have:

4*5

=

20

So our second rectangle has an area of 20.

Add these otgether you get 68.

Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.

We already know the radius, which is 12, and the formula for area of a circle is:

a=πr^2

Plug in 12:

a=π12^2

=

a=π144

dividing by four for the 1/4circle:

a=π36

So this means your answer is either:

68 +36π

Or:

181.097(solving pi*36)

Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.

Hope this helps!

Answer:

4.45

Step-by-step explanation:

1,99   1,99  3.2   4,36  4,54 4,78  4,8  4,83

                          (2 numbers remain as medium)

4,36

4,54

8,90/2=     4.45

i hope i have help you :)

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Perimeter of polygon:

[tex]PQ = 5\\\\RS = 5\\\\PR = QS=\sqrt{74} = 8.60\\\\QR = 7[/tex]

Step-by-step explanation:

In this question we calculate the perimeter of a polygon which can be defined as follows:

Using formula:

[tex]d = \sqrt{(x _2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

When vertices are:

[tex]P ( 0 , 4) \\\\Q(5 , 4)[/tex]

[tex]x_1 = 0\\\\y_1 = 4\\\\x_2 = 5\\\\y_2 = 4\\\\PQ = \sqrt{( 5 - 0)^2 + ( 4 - 4)^2}\\\\= \sqrt{5^2 + 0^2}\\\\= \sqrt{25}\\\\= 5[/tex]

[tex]R( 5 , -3) and S ( 0 , -3)x_1 = 5y_1 = -3x_2 = 0\\y_2 = -3\\RS = \sqrt{ ( 0 - 5)^2 + ( -3 - (-3))^2}\\= \sqrt{( -5)^2 + ( -3 + 3)^2}\\= \sqrt{ 25 + 0}\\= \sqrt{25}\\= 5\\P( 0 , 4)\ and\ R (5 , -3)\\x_1 = 0\\y_1 = 4\\x_2 = 5\\y_2 = -3\\PR = \sqrt{( 5 - 0)^2 + ( -3 - 4)^2}\\= \sqrt{5^2 + (-7)^2}\\= \sqrt{ 25 + 49}\\= \sqrt{74}\\= 8.60\\[/tex]

[tex]Q ( 5 , 4) \ and \ S(0 ,-3)\\x_1 = 5\\y_1 = 4\\x_2 = 0\\y_2 = -3\\QS =\sqrt{ ( 0 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{-5^2 + -7^2}\\= \sqrt{25 + 49}\\= \sqrt{74}\\= 8.60[/tex]

[tex]Q( 5,4\ and\ R(5 , -3)\\x_1 = 5\\y_1 = 4\\x_2 = 5\\y_2 = -3\\QR = \sqrt{(5 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{0^2 + (-7)^2}\\= \sqrt{0 + 49}\\= \sqrt{49}\\= 7\\[/tex]

Answer:

Decreased value- 2,170  

Absolute difference- 4,030

Step-by-step explanation:

Answer:

my best guess would be B for sure

Answer:

B 84 cm^2 is the surface area of tbe prism

Step-by-step explanation:

Answer:

Solution given:

total female [T]=3+4+6+3=16

n[senior female]=3.

probability the student is a senior given that it's

female:[tex] \frac{n[senior female]}{total [T]} [/tex]

:[tex] \frac{3}{16} [/tex]

:[tex] \frac{3}{16} [/tex] is a probability.

Now percentage::[tex] \frac{3}{16}*100% [/tex]=18.75=19%

Answer:

18.75%. Rounding up: 19%

Step-by-step explanation:

From the table : Total Females = 3+4+6+3 = 16

Number of female seniors = 3

If a student is selected at random find the probability the student is a senior given that it's a female:

P(Female | senior) = number of female seniors / total female  = 3/16 = 0.1875

In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%

the probability the student is a senior given that it's a female.  = 18.75%, which round to nearest whole percent is 19%.