Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many

Answer:

x = 49

Step-by-step explanation:

The central angle AOB is equal to the measure of the arc that subtends it, so

∠ AOB = 82°

OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then

x = [tex]\frac{180-82}{2}[/tex] = [tex]\frac{98}{2}[/tex] = 49

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]

Answer:

y < 4 or y > 9

Step-by-step explanation:

The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.

Answer:

B.

Step-by-step explanation:

The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.

Answer:

B.  The chance to earn by working in a library

Step-by-step explanation:

This is a guess

Answer:

2.6 and 3

Step-by-step explanation:

The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.

Answer:

-9w^3

Step-by-step explanation:

Combine like terms. -20+11 = -9

Answer:

-9 w^3

Step-by-step explanation:

-20w^3+11w^3

Combine like terms

(-20+11) w^3

-9 w^3

Answer:

Yes anything under a C

Step-by-step explanation:

Answer:

4/11

Step-by-step explanation:

1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles

P( blue or red) = number of blue or red / total

                        = 4/11

Answer:

x = 36 km

Step-by-step explanation:

The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²

c = hypotenuse/longest leg = 45 km

a = x

b = 27

Thus:

45² = x² + 27²

2,025 = x² + 729

2,025 - 729 = x²

1,296 = x²

√1,296 = x

36 = x

x = 36 km

Answer:

Step-by-step explanation:

Builder :

X = { x ∈ N : x ≤ 6}

Roster :

X = { 1, 2 , 3 , 4 , 5 , 6}

Answer:

30%

Step-by-step explanation:

3+4+6+7= 20

6 (green) / 20

= 30%

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

Answer:

1. -10 > x

2. No, because the more you raise the ticket price, the less people will attend.

3. C) -x - 6 > -3.5

4. you have to do yourself

Step-by-step explanation:

1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10

Answer:

V≈134.0

Step-by-step explanation:

divide 8 by 2 to get the radius .

V=πr2h /3

V=πr2 h /3=π·42·8 /3≈ 134.0

Answer:

14 kids

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.

700÷100=7

7×2=14

14 kids with red hair

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log([tex]\frac{a}{b}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C

Answer: 50

Step-by-step explanation:

Given

There are maximum of 103 people in room and principal and 2 counselor need to discuss eligibility requirements.

If each student must bring a parent with them

No of seats left after principal and 2 counselor occupied the seats are 103-3=100

A student and parent occupies at least 2 seats. For maximum students, only one parent is feasible.

So, maximum no of students are

[tex]\Rightarrow \dfrac{100}{2}=50[/tex]

Answer:

a

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

Answer:

slope is 0 because its rise over run and there is no run so 0 or undefined

Step-by-step explanation:

Answer:

It has an undefined slope because this vertical line does not run horizontally, meaning the "run" in rise/run is 0 and you cant divide anything by 0

Step-by-step explanation:

Answer:

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Step-by-step explanation:

7) The "x" value can be found using the following trigonometrical identity:

[tex] sin(30) = \frac{12}{x} [/tex]

[tex] x = \frac{12}{sin(30)} = 24 [/tex]

Since "x" (the hypotenuse) is related to the opposite side by sin(θ).

So, the correct option is D.

8) The "y" value can be calculated with tan(θ):

[tex] tan(30) = \frac{12}{y} [/tex]

[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]

Hence, the correct option is C.

9) The hypotenuse can be calculated with cos(θ):

[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]

[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]

Thus, the correct option is C.

10) The value of the sides can be found by Pitagoras:

[tex] h^{2} = x^{2} + x^{2} [/tex]

[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]

Therefore, the correct option is A.

I hope it helps you!

(-3)^2 = -3 x -3 = 9

(-2)^2 = -2 x -2 = 4

9 + 4 = 13

The answer is 13

Answer:

(-3)^2 + (-2)^2

(-3*-3) +(-2*-2)

9 + 4

13

Answer:

P: parenthesis

E: Exponents

M: multiplication

D: division

A: Addition

S: substraction

Step-by-step explanation:

Question:

ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.

Answer:

101.5cm²

Step-by-step explanation:

The figure for the trapezium ABCD is attached to this response.

To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;

A  = [tex]\frac{1}{2}[/tex] x (a + b) x h            ------------------(i)

Where;

A = area of the trapezium

a and b are the parallel sides of the trapezium

h = height of the trapezium.

As shown in the figure,

AB and CD are parallel

Therefore, we can say that;

a = AB

b = CD

Also, from the figure,

The height of the trapezium is BP

Therefore, we can say that;

h = BP

We know that;

a = AB = 4cm

b = CD = 25cm

h = BP = 7cm

Substitute these values of a, b and h into equation (i) as follows;

A  = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7    

A  = [tex]\frac{1}{2}[/tex] x (29) x 7    

A = 101.5

Therefore, the area of the trapezium is 101.5cm²

Answer:

Solution given:

x²+4x+4

x²+(2+2)x+4

x²+2x+2x+4

x(x+2)+x(x+2)

(x+2)(x+2)

(x+2)²

your

answer is

((+) +2)²

The type of correlation not associated with scatterplots is an indefinite correlation

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Learn more on correlation here: https://brainly.com/question/26172866