Find the scope of the line renesented by the title, show all work

Answer:

The distance from the base of the building to the base of the ladder is 13.56 feet.

Step-by-step explanation:

This can be solved using Pythagorus theorem.

If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using

c²= a²+b²

Where c is the hypotenuse and b is the base and a is the altitude

Putting the values

25²= a²+ 21²

a²= 25²-21²

a²= 625-441

a²= 184

a= √184= 13.56 feet

The distance from the base of the building to the base of the ladder is 13.56 feet

Answer:

setup below, you'll have to do the final calculation

Step-by-step explanation:

first perform the operation in parenthesis

2+39= 41

then do the multiplication 3 x 41

in general do calculations in this order

1. Parenthesis

2. Multiplication

3. Division

4. Addition

5. Subtraction

working from left to right

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

Learn more about Permutation and combination,

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Answer:

142.5

Step-by-step explanation:

It is 142.5 because when finding area you have to do base x height our base here is 15 and are height is 9.5 so now that we know are base and height we just multiply! so 15 × 9.5 = 142.5 Hope this helps!

Answer:

Cranberry juice needed to fill the bottle = 5.2 cups

Step-by-step explanation:

sports drink mix:

Orange juice = 25%

Cranberry juice = 65%

Sprite = 10%

His bottle holds 8 cups of drink.

How much cranberry juice does she need to fill the bottle?

Cranberry juice needed to fill the bottle = 65% of 8 cups

= 65/100 × 8

= 0.65 × 8

= 5.2 cups

Cranberry juice needed to fill the bottle = 5.2 cups

Orange juice needed to fill the bottle = 25% of 8 cups

= 25/100 × 8

= 0.25 × 8

= 2 cups

Orange juice needed to fill the bottle = 2 cups

Sprite needed to fill the bottle = 10% of 8 cups

= 10/100 × 8

= 0.1 × 8

= 0.8 cups

Sprite needed to fill the bottle = 0.8 cups

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

Answer:

2(x-15)

Step-by-step explanation:

Answer:

2(x-15)

Step-by-step explanation:

factor out the 2 from the expression

Given:

Principal value = 2,00,000

Rate of interest = 20% p.a. compounded quarterly.

To find:

The compound interest and the amount after one year.​

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

The interest is compounded quarterly. So, the value of n is 4.

Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.

[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]

[tex]A=200000\left(1+0.05\right)^{4}[/tex]

[tex]A=200000\left(1.05\right)^{4}[/tex]

[tex]A=200000(1.21550625)[/tex]

[tex]A=243101.25[/tex]

Therefore, the amount after one year is 2,43,101.25.

We know that the compound interest is the difference between amount and principal value. So,

[tex]C.I.=A-P[/tex]

[tex]C.I.=2,43,101.25-2,00,000[/tex]

[tex]C.I.=43,101.25[/tex]

Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.

Answer:

0,37

Step-by-step explanation:

Answer:

It would be D.

Step-by-step explanation:

After graphing, option D best correlates to the red triangles (patient B).

Answer:

3 + (2 + 5) =(3 + 2) +5_

3 + 9_ = 9 + 3

Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

Answer:

24.77

Step-by-step explanation:

The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.

Hope this helps!

Answer:

C 50 mi

Step-by-step explanation:

You have to use the Pythagorean theorem:

14²+48²

196 + 2304

2500

Now you make the square root of 2500 and found the result: 50 mi

Question 14

You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.

Question 15

(7+5)p - p = 12p - p = 11p

Question 16

7 + 5(p-p) = 7 + 5(0) = 7

Question 17

No parentheses are needed.

Answer:

10 2/4

Step-by-step explanation:

Answer:

look at the picture i sent

Answer:Cut parallel to the base. The base of a pyramid is a square.

Step-by-step explanation:

Answer:

c is the right answer

Step-by-step explanation: