AL
What is the measure of <R?
74°
92
R
B
Do​

Answer:

15

Step-by-step explanation:

pythag theorum

Answer:

15

Step-by-step explanation:

Pythagorean  thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.

The hypotenuse, c = 17

Leg b =8

a^2=c^2-b^2

a^2=17*17-8*8

a^2=289-64

a^2=225

Take the square root of both sides.

a = 15

Answer:

17.99

Step-by-step explanation:

8.95x13=116.35

494.14-116.35=377.79/21=17.99

Answer:

A

Step-by-step explanation:

These two coordinates in (x,y) form have the same value for x, so they only differ in the y-value. That means if we subtract the y-values, that’s the vertical distance!

-8 - 3 = -11

(It helps me to think of this as -8 + -3.) They’re 11 units apart: think of it like a absolute value.

So the answer is A. 11

Answer:

Option D.

Step-by-step explanation:

The given parent function is

[tex]f(x)=\dfrac{1}{x}[/tex]

The given function is

[tex]g(x)=\dfrac{1}{x+4}-6[/tex]

Using the parent function, the given function can be written as

[tex]g(x)=f(x+4)-6[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=4>0[/tex], it means the graph shifts 4 units left.

[tex]b=-6<0[/tex], it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

Transformation involves changing the form of a function.

The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).

The functions are given as:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

[tex]f(x)= \frac{1}{x}[/tex]

Start by shifting the function to the left, by 4 units.

This is represented as:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]f'(x)= \frac{1}{x + 4}[/tex]

Next, shift the function down, by 6 units.

This is represented as:

[tex](x,y) \to (x,y - 6)[/tex]

So, we have:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

Hence, the true option is (d)

Read more about transformation at:

https://brainly.com/question/12619643

Answer:

It's 20 because 5ft times 4ft gives you 20ft

The unit of metric measurement used

when measuring the width of your

pencil point is millimeters

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency.

Step-by-step explanation:

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

Answer:

8√2

Step-by-step explanation:

18√2 - 2√50 = 18√2 - 2√(2*25)=18√2 - 2*5√2= 18√2 - 10√2= 8√2

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

[tex]18\sqrt{2} -2\sqrt{25*2}= 18\sqrt{2} -2\sqrt{5*5*2}\\Taking 5 out.\\=18\sqrt{2} -2*5\sqrt{2}\\=18\sqrt{2} -10\sqrt{2}\\=8\sqrt{2}[/tex]

Hope this helps. pls mark as Brainliest!!

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

I hope this helps!

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

Answer:

y = (x + 5)(x - 4)

Step-by-step explanation:

Given

y = x² + x - 20

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and 5 - 4 = + 1, thus

x² + x - 20 = (x + 5)(x - 4)

Answer:

113.04 inches

use the formula for the area a circle

[tex]A=\pi a^{2}[/tex]

:

Answer:

a) -2/1

b) 5/2

c) 8/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a)-2=\frac{-2}{1}\\\\b)2.5=\frac{25}{10}=\frac{5}{2}\\\\c)1\frac{3}{5}=\frac{8}{5}[/tex]

Answer:

  D)  (-1, -2)

Step-by-step explanation:

The local minimum is the bottom point on the left-side curve. Its coordinates are (-1, -2), matching choice D.

Answer:

D (-1,-2)

Step-by-step explanation:

I did it

Answer:

Not enough information.

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Answer:

90

Step-by-step explanation:

a)

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

[tex]\dfrac{86+83+81+x}{4}=85[/tex]

b)

Multiply both sides by 4:

[tex]86+83+81+x=340\\x=90[/tex]

Hope this helps!

Answer:

736 Maybe

Step-by-step explanation:

Well what you gotta do is the triangles on the sides can be moved to form mini rectangles. When you do this you get 8 by 15 rectangles and since you have 4 of then you multiply those by 4. 8*15= 120 and 120*4 = 480. Then all you need to fing is the center square pretty easy to find that square right. Its just 16*16 = 256. And 480+256=736.

I hope this helps.

The surface area of the square base pyramid is 736 cm².

Surface area = A + 1 / 2 ps

where

A = base area

p = perimeter of the base

s = slant height

Therefore,

A = 16² = 256 cm²

p = 4(16) = 64 cm

s = 15 cm

surface area = 256 + 1 /  2 × 64 × 15

surface area = 256 + 480

surface area = 736 cm²

learn more: https://brainly.com/question/23973712?referrer=searchResults

Answer: 1/4a - 1/6b + 1/10c

Hope this helped! Have a great rest of your day :)

Answer:

Answers are below

Step-by-step explanation:

a. 4⁄16      Proper because the numerator is less than the denominator.

b. 75⁄70   Improper because the numerator is greater than the denominator.

c. 2⁄15      Proper because the numerator is less than the denominator.

d. 6⁄6       Proper because the numerator is less than or equal to the denominator.

If these answers are correct, please make me Brainliest!

Answer: it’s the first one.

Step-by-step explanation:

Answer:

let distance between the two stops be d

so

avg. speed for whole journey = total distance/total time

= ( 2d) / ( d/40 + d/50)

= 2/ (1/40+1/50)

= 2 / ( 90/ 200)

= 2× 200/90

= 40/9 mph

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !