A roof of the house including its base is in the shape of right prism with a
triangular base with the dimensions shown.
What is the approximate surface area of this prism?

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram in the attachment.

The flag is rectangular in nature and the formula for calculating the perimeter of a rectangle is P = 2(L+W) where;

L is the length of the flag

W is the width of the flag

From the diagram, L = y and W = 11y/8

Since the perimeter = 190 inches, we will substitute the given parameters into the formula and firs calculate the value of y.

190 = 2(y+11y/8)

190 = 2y + 11y/4

multiply through by 4

760 = 8y+11y

760 = 19y

y = 760/19

y = 40

The length of the flag is 40 inches and the Width of the flag is 11(40)/8 = 55inches.

Hence, the dimensions of the flag in inches is 40 inches by 55 inches.

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus

| [tex](3-4i)^{4}[/tex] |

= [tex]5^{4}[/tex]

= 625

Answer:

Rational.

Step-by-step explanation:

This is because

[tex]19 \div 9 = 2.1111111...[/tex]

Where the product is a recurring decimal and recurring /repeating decimals are rational.

Hope this helps... :-)

Answer:

a) >

b) =

c) =

d ) >

this number 8

9 .A B B C C C D E E F F F G H H I I I J KK L L L M NN OOO P QQ RRR S TT UUU V WW XXX Y ZZZ

THE 45TH LETTER IS W

Answer: 6 hours as lifeguard 8 hours as cashier.

Step-by-step explanation: 6x13=78 11x8=88 78+88/166

confused dont rly kniw srry i just asked for help

Answer:

Step-by-step explanation:

[tex] \frac{ {b}^{10} }{ {b}^{6} } [/tex]

Using the rules of indices

That's

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

Since the bases are the same and are dividing we subtract the exponents

So we have

[tex] \frac{ {b}^{10} }{ {b}^{6} } = {b}^{10 - 6} [/tex]

We have the final answer as

Hope this helps you

Answer:

b⁴

Step-by-step explanation:

b¹⁰ / b⁶ = b¹⁰ ⁻⁶ = b⁴

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

x + 4x + 30 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Answer:

Exactly 3 3/8 bags of soil are needed for Pan to fill the flower pot

Step-by-step explanation:

Here in this question, we are concerned with calculating the number of bag of soils with a given volume each needed to fill a flower pot with soil.

What we simply need to do here is to divide the volume of the flower pot with the volume of the individual bag of soils;

Mathematically, that would be;

9 divided by 2 2/3

= 9 divided by 8/3

= 9 * 3/8 = 27/8 = 3 3/8 bag of soils

Answer:

3

Step-by-step explanation:

Answer:

30*50*40

= 60000

Step-by-step explanation:

yes

Answer:

(-4, -5.5).

Step-by-step explanation:

7x - 4y = -6

-5x + 4y = -2   Adding these 2 equations:

2x = -8

x = -4

Substituting for x:

7(-4) - 4y = -6

-4y =  - 6 + 28 = 22

y = -5.5.

Add the times together:

19/100 + 4/10

Find the common denominator, which is 100 so rewrite 4/10 as 40/100

Now add:

19/100 + 40/100 = 59/100

The first car beat the third car by 59/100 seconds.

Answer:

Point B

Step-by-step explanation:

The square root of 11 is about 3.31. SO the most accurate point is B.

Answer:

Vertically Opposite Angles are the angles opposite each other when two lines cross "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Step-by-step explanation:

35a_11a+4

24a+4

hope it helps

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

[tex]9a * (3) + 8a + 4 -11a[/tex]

[tex]= 27a + 8a + 4 + -11a[/tex]

Combine Like Terms:

[tex]= 27a + 8a + 4 + -11a \\= ( 27a + 8a + -11a ) + (4) \\= 24a + 4[/tex]

Answer : [tex]\boxed {24a + 4}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

The formula for slope is y=mx+b.

In this problem m=3; meaning the slope is 3.

Answer:

m = 3

Step-by-step explanation:

y = 3x + 6

Slope formula

y = mx + b

m = 3

Answer:

240 m³

Step-by-step explanation:

Triangular base = 1/2bh=

1/2(5)(12)=30

30x8=240m³

(Volume is in cubic units, not square units, so I’m not sure why the question says that.)

Answer:

your answer is 19.34

Step-by-step explanation:

let the number be x

half a number = ½ x

three times means multiplied by three

so,

3( ½ x) + 7 = 36

3( ½ x) = 36 - 7

3( ½ x) = 29

½ x = 29/3

½ x = 9.67...

x = 9.67 × 2           (when we moved  ½ on the other side of the equal sign it                                      ›                               turns into 2/1 )

x = 19.34

Given:

(1) DC = 6x, and DA = 4x + 18, find the value of x. Then find AD, DC, and AC

(2) EB = 4y - 12, and ED = y + 17. Find y. Then find ED, DB and EB.

x = 9, AD = 54, DC = 54, AC = 108

y = 23, ED = 40, DB = 40, EB = 80

The diagram for this question has been attached to this response.

(1) From the diagram, it can be observed that;

(a) DC and DA have equal lengths. i.e

=> DC = DA             ---------------------(i)                  

(b) AC = DA + DC    --------------------(ii)

But;

DC = 6x

DA = 4x + 18

Substitute the values of DC and DA into equation (i) as follows;

6x = 4x + 18          [Solve for x]

6x - 4x = 18

2x = 18

x = 9

Since x = 9, then

DC = 6x = 6(9) = 54

DA = 4x + 18 = 4(9) + 18 = 54

Therefore

DC = 54

AD = DA = 54

AC = 54 + 54 = 108       [using equation (ii)]

(2) Also, from the diagram, it can be observed that;

(a) ED and DB have equal lengths. i.e

=> ED = DB             ---------------------(iii)                  

(b) EB = ED + DB    --------------------(iv)

=>EB = ED + ED        [since ED = DB]

=>EB = 2ED             ------------------(v)

But;

EB = 4y - 12

ED = y + 17

Substitute the values of EB and ED into equation (v) as follows;

4y - 12 = 2(y + 17)          [Solve for y]

4y - 12 = 2y + 34

4y - 2y = 34 + 12

2y = 46

y = 46 / 2

y = 23

Since y = 23, then

EB = 4y - 12 = 4(23) - 12 = 80

ED = y + 17 = 23 + 17 = 40

Therefore

EB = 80

ED = DB = 40

Answer:

x = 9, AD = 54, DC = 54, AC = 108

y = 23, ED = 40, DB = 40, EB = 80

Step-by-step explanation:

Answer:

D. Quadrant IV

Step-by-step explanation:

Directed numbers are numbers with either a positive sign or a negative sign. These numbers can be located easily on the number line. Examples are: 2, 5, -1, -3, -7, 9 etc.

Given that: x > 0 and y < 0

For example, let us consider specific directed number for x and y. Let x = 5 and y = -2, so that; (5, -2). This point can be located in the fourth quadrant of a Cartesian plane.

Therefore considering a Cartesian plane, the quadrant in which (x, y) could be located is: Quadrant IV.

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = [tex]\frac{x}{y}[/tex]

Then θ = [tex]\text{Sin}^{-1}(\frac{x}{y} )[/tex]

From the given values in the question,

Sinθ = [tex]\frac{7}{29}[/tex]

θ = [tex]\text{Sin}^{-1}(\frac{7}{29} )[/tex]

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

Answer:

x=150°

Step-by-step explanation:

A=180-60=120

B=180-60=120

C=45

D=360-120=240

E=45

The sum of the interiors of a polygon is (n-2)*180.  Since this is a hexagon, (6-2)*180=4*180=720. SO..

B=720-120-120-45-240-45=150

Assuming the questions is asking to solve for x, the angle is 150°

Answer:

Step-by-step explanation:

the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.

Answer: Hi!

A number that is bigger than 5 2/3 but smaller than 6 could be 5.7.

A number that is bigger than 5.6 but smaller than 5 2/3 could be 5.62.

Hope this helps!

In fact 5 2/3 means 5+2/3 for this. So,5+2/3 = 17/3 = 5.6

For first question, if "numbers" are also include rational numbers, you can write any rational number according to this interval. For example, 5.7 , 5.75, 5.9

But the second one, the interval that is shown us has the same value 5.6 and 5.6. So you cannot find a number which should bigger 5.6 and smaller 5.6 . It seems impossible I mean.

Answer:

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Step-by-step explanation:

Dr. Hong =0.019 liters more than Dr.Tannenbaum

Dr.Evans prescribed 0.02 Less than Dr.Hong.

Let

Dr.Tannenbaum=x liters

Dr. Hong =0.019 + x liters

Dr. Evans= 0.019 + x - 0.02 liters

= x - 0.001 liters

Therefore,

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Answer:

A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour

Step-by-step explanation:

Time = distance/speed:

Correct answer choice is:

Answer:

[tex] \boxed{\sf Perimeter \: of \: rectangular \: garden = 10x + 2} [/tex]

[tex] \boxed{\sf Area \: of \: rectangular \: garden = 6x^2 + x - 2} [/tex]

Given:

Length of rectangular garden = 2x - 1

Width of rectangular garden = 3x + 2

Step-by-step explanation:

[tex] \sf Perimeter \: of \: rectangular \: garden = 2(Length + Width)[/tex]

[tex] \sf = 2((2x - 1) + (3x + 2))[/tex]

Grouping like terms:

[tex] \sf = 2((2x + 3x) + (2 - 1))[/tex]

2x + 3x = 5x:

[tex] \sf = 2(5x + (2 - 1))[/tex]

2 - 1 = 1:

[tex] \sf = 2(5x + 1)[/tex]

[tex] \sf = (2 \times 5x) + (2 \times 1)[/tex]

2 × 5x = 10x:

[tex] \sf = 10x + (2 \times 1)[/tex]

2 × 1 = 2:

[tex] \sf = 10x + 2[/tex]

[tex] \therefore[/tex]

Perimeter of rectangular garden = 10x + 2

[tex] \sf Area \: of \: rectangular \: garden = Length \times Width[/tex]

[tex] \sf = (2x - 1)(3x + 2)[/tex]

[tex] \sf = 2x(3x + 2) - 1(3x + 2)[/tex]

[tex] \sf = (2x \times 3x) + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]

2x × 3x = 6x²:

[tex] \sf = 6 {x}^{2} + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]

2x × 2 = 4x:

[tex] \sf = 6 {x}^{2} + 4x - (1 + 3x) - (1 \times 2)[/tex]

1 × 3x = 3x:

[tex] \sf = 6 {x}^{2} + 4x - 3x - (1 \times 2)[/tex]

1 × 2 = 2:

[tex] \sf = 6 {x}^{2} + (4x - 3x) - 2[/tex]

4x - 3x = x:

[tex] \sf = 6 {x}^{2} + x - 2[/tex]

[tex] \therefore[/tex]

Area of rectangular garden = 6x² + x - 2

Answer:

Perimeter = 10x+2 m

Area = 6x²+x-2 m²

Step-by-step explanation:

Length of garden (l) = 2x-1

width or breadth of garden ( b) = 3x+2

Now,

Perimeter of the garden (p) = 2( l + b)

= 2 ( 2x-1 + 3x+2 )

= 2 ( 5x + 1 )

= 10x+2 m. ( Answer )

Again,

Area of garden (a) = l * b

= ( 2x-1 ) ( 3x+2 )

= 2x ( 3x+2 ) -1 ( 3x+2 )

= 6x² + 4x - 3x - 2

= 6x²+x-2 m². ( Answer )

Answer:

13

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters q and the number of pennies p:

[tex]p+q[/tex]

Which represents the total amount of coins and

[tex]0.01p+0.25q[/tex]

Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for q and 7 in for p:

[tex]p+q\\(7)+(6)=13[/tex]

This tells us that we have 16 coins in total.

[tex]0.01(7)+0.25(6)\\=0.07+1.50\\=1.57[/tex]

This tells us that we have a total amount of $1.57.

Answer:

[tex]\Large \boxed {13} \\ \boxed{ 1.57}[/tex]

Step-by-step explanation:

Pennies ⇒ [tex]p[/tex]

Quarters ⇒ [tex]q[/tex]

First expression describes the total number of coins in the pocket ⇒ [tex]p+q[/tex]

Second expression describes the amount of money in dollars in the pocket ⇒ [tex]0.01p+0.25q[/tex]

There are 6 quarters and 7 pennies in the pocket.

First expression :

[tex]p+q \\ 7 + 6 = 13[/tex]

Second expression :

[tex]0.01p+0.25q \\ 0.01(7)+0.25(6) \\ 0.07+1.5 =1.57[/tex]