A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).



Find the area of each of the four small rectangles in the figure. Then find the sum of these areas.


The area of each of the small rectangles is __?

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

Answer:

Yes, it is!

Step-by-step explanation:

Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

Answer:

[tex]xy+3x-23y-3[/tex]

Step-by-step explanation:

[tex]1xy+3x-(23y+3)\\[/tex]

Multiply ; 1× x =x

[tex]=xy+3x-\left(23y+3\right)\\[/tex]

Use - to open the bracket

[tex]-\left(23y+3\right):\quad -23y-3\\\\=xy+3x-23y-3[/tex]

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:-2 + 3i/2, and -2-3i/2

Step-by-step explanation:

Apply the quadratic formula.

We have (-16 +-sqrt(16^2-4*4*25))/8.

Simplifying, we have (-16+-12i)/8.

Thus, the roots are -2 + 3i/2, and -2-3i/2

Answer:

The roots are

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

Separate the real and imaginary parts

That's

We have the final answer as

Hope this helps you

it it is 30 little one

The required liters of hot chili papers collected in a week is 98.56 liters.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters

So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters

Thus, the required liters of hot chili papers collected in a week is 98.56 liters.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ2

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Answer:

2/3

Step-by-step explanation

(6 times 10)-0

___________

          9

6/9= 2/3

Answer: y=-6x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b. This means, we want to isolate y.

18x+3y=-21                   [subtract both sides by 18x]

3y=-18x-21                    [divide both sides by 3]

y=-6x-7

Now, our equation is in slope-intercept form.

Answer:

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

Answer:

A, B, C

Step-by-step explanation:

Velocity is the only option that has both distanace and direction.

Answer:

Correct Answer: Option A

Step-by-step explanation:

cos(x + 25o) = sin 45o

using cos θ = sin(90 - θ)

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

Hope it helps ♡＾▽＾♡

Answer:

third option

Step-by-step explanation:

Using the rule of radicals

[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]

This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft³ , cu ft?

hope this helps!

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]

Answer:

2

Step-by-step explanation:

Answer:

your awnser would be C

Step-by-step explanation:

Answer:

25 years old

Step-by-step explanation:

Let the teacher's age be a.

Then:

a^2 - 23a = 50

In standard form, this quadratic is

x^2 - 23a - 50 = 0

Factoring this, we get (x - 25)(x + 2) = 0

So a is either 25 or a is -2.  Only a = 25 is relevant here.

The teacher is 25 years old (Answer G)

Answer:

c

Step-by-step explanation:

35/2=17.5 *2= 35+35+35= 105

6.5% of 105 is 6.83, so 105+ 6.83= 111.83

Answer:

1/72

Step-by-step explanation:

Given that Ashley rolls a die, flips a corner, and then roll the die again.

Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6

Also, the number of possible outcomes for a coin will be equal to 2

What is the probability that he will roll to our numbers And that the coin will land on heads

The probability will be

1/6 ×1/6 × 1/2 = 1/72