Can someone please help me out? I'd really appreciate it.

Answer:

A.

Step-by-step explanation:

Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.

The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.

The area of the rectangle with a length of 20mm and height of 14 mm is,

Area of the rectangle = 20mm × 14mm

                                    = 280 mm²

The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,

Area of the triangle = (1/2) × 6mm × 14mm

                                 = 42 mm²

Now, the total area of the given figure can be written as,

The total area of the given figure

= Area of the rectangle + Area of the triangle

= 280 mm² + 42 mm²

= 322 mm²

Hence, the area of the given figure is 322 mm².

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Answer:

57.8

Step-by-step explanation:

We can set up a proportion for this, assuming x is the smokers lost in 365 days.

[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]

Using the cross products property, we know that x will be equal to:

[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]

Hope this helped!

Answer:

48 ÷ 65

Step-by-step explanation:

hope it helps you

Answer:

[tex]\frac{48}{65}[/tex]

Step-by-step explanation:

Step 1: Find LCM for denominators

13(5) = 65

So we need to convert our fractions to add them

Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5

[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]

Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13

[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]

Step 4: Add the converted fractions

[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]

And we have our answer!

Answer:

  $86.81

Step-by-step explanation:

Using the given formula, we want to compute A for ...

  P = 4750

  r = 0.2279

  n = 365 . . . . . assuming "exact" interest

  t = 1 or 30

For 1 day late:

  A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97

For 30 days late:

  A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78

The difference in these payment amounts is ...

  $4839.78 -4752.97 = $86.81

You would save $86.81 in interest charges by paying only 1 day late.

_____

Comment on the question

It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.

The triangle is shifted 4 units downwards and then is rotated about the origin.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

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Answer:

Step-by-step explanation:

Answer:

22.95×1.055≈$24.21

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

[tex]6a+10=3a+55[/tex]

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

[tex]6a-3a+10=3a-3a+55[/tex]

[tex](6a-3a)+10=55[/tex]

[tex]3a+10=55[/tex]

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

[tex]3a+10-10=55-10[/tex]

[tex]3a=55-10[/tex]

[tex]3a=45[/tex]

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

[tex]3a/3=45/3[/tex]

[tex]a=45/3[/tex]

[tex]a=15[/tex]

The value of a is 15 and choice A is correct.

The required ways of the combination to display the flowers on the dinner is  20.

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20

Thus, the required ways of combination to display the flowers on dinner is  20.

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Answer:

the answer is d

Step-by-step explanation:

cause its d

Answer:

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

Answer:I beleive it is (5,-2)

Step-by-step explanation:

Answer:

[tex]-1\frac{1}{4}[/tex]

option 2

Step-by-step explanation:

In this number line, each interval equals 1/4.

P represents 1 1/4

So, opposite of number P is   ( [tex]-1\frac{1}{4}[/tex] )

Answer: 1 quarter, 1 dime and 1 nickel.

Step-by-step explanation:

Quarter: 25 cents.

Dime: 10 cents

Nickel: 5 cents

25 + 10 = 35

35 + 5 = 40

Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.

Answer:C

Step-by-step explanation:

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

Answer:

The answer is 2-4

Step-by-step explanation:

Answer:

78.4 ft

Step-by-step explanation:

Part I:

Missing angle = 180° - (130 + 30) (sum of angles in a triangle)

= 180° - 160°

Missing angle = 20°

Part II: distance (d) from Swanson to the boat

Law of Sines is given as:

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

Where,

a = d

A = 130°

b = 35 ft

B = 20°

Plug in the values and solve for d

[tex] \frac{d}{sin(130)} = \frac{35}{sin(20)} [/tex]

Multiply both sides by sin(130) to make d the subject of the formula

[tex] \frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130) [/tex]

[tex] d = \frac{35*sin(130)}{sin(20)} [/tex]

[tex] d = 78.4 ft [/tex]

Answer:

errror

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

slope is rise over run so you go down 3 first is is -3, and then right 4 times which  means the slope is -3/4

Answer:

i think it is the third one but dont know just an educational geuss

Step-by-step explanation:

The given steps from the derivation of the quadratic formula are:

Step 3:  [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.

The quadratic formula is as follows:

x = [-b ± (√b²+4ac)]/2a

This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].

The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]

Step 1: [tex]ax^2+bx=-c[/tex]

Step 2: Taking 'a' as common

[tex]a(x^2+\frac{b}{a}x)=-c[/tex]

Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides

[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]

⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: Factoring the polynomial

[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: Converting to a common denominator

[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)

⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]

⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]

⇒ [tex]x+\frac{b}{2a}[/tex] = ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]

step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides

⇒ [tex]x=-\frac{b}{2a}[/tex] ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]

⇒ x = [-b ± (√b²+4ac)]/2a

Thus, step 4b best explains or justifies the property "Converting to a common denominator".

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Answer:

1.4a > 5+a

Step-by-step explanation:

If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.

On the right side of the equation, if the number is increased by 5, then the equation is a + 5.

Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a

Answer:

d

Step-by-step explanation:

Answer:

(7, -5.5)

Step-by-step explanation:

is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5

Answer:

The y-intercept is 1/3.

Step-by-step explanation:

The equation given is in slope-intercept form. Recall that in slope-intercept form:

[tex]f(x)=mx+b[/tex]

m is the slope while b is the y-intercept.

Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.

Answer:

x = - 20, h = 34

Step-by-step explanation:

i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20

-32 = 2-h

+32 .  +32

0=34-h

+h .   +h

34=h

flip

h=34

Answer:

-2+12=10

-10+20=10

1+9=10

9+1=10

8-(-2)=10

2-(-8)=10

-30+40=10

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]

(x - 3)² = 4 [ part b ]

Take the square root of both sides

x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )

x = 3 ± 2

Thus part c is

x = 3 - 2 = 1

x = 3 + 2 = 5