The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer: 48

Step-by-step explanation:

The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Area of a parallelogram  = (its height × its base) sq. units.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]

For this case, the missing diagram is attached below.

If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram  is the perpendicular distance between its base and top.

The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.

Thus, we get:

Area of RTSU = Length of ST × Length of US

The coordinates of endpoints of ST are (4,-1), (4,-4)

Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]

The coordinates of endpoints of US are (-3,-1), (4,-1)

Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]

Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.

Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Learn more about distance between two points here:

brainly.com/question/16410393

Answer:

21 square units I think

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b is correct i think

2

Answer:

$180 + $72 = $252

Step-by-step explanation:

$180 * 40%

$180 * 0.40 = $72

$180 + $72 = $252

each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .

by this simple method you can figure out your answer that what actually it is.

GOOD LUCK !

Answer:

7 units

Explanation :

Check out my work that I’ve attached

Let me know if you have any questions!

Have a nice rest of your day :)

2 1/2 pounds = 2.5 pounds

A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25

-> Answer : B

Using the distributive property, it is found that the equivalent expression is:

18c - 30d + 36

It is a property that the outside term multiplies each of the inside terms.

In this problem, the expression is:

6(3c - 5d + 6).

Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:

6(3c - 5d + 6) = 18c - 30d + 36.

More can be learned about the distributive property at https://brainly.com/question/2807928

Answer:

C) 55

Step-by-step explanation:

One of the angles is given, which is 35. This is a right triangle because there is a square next to angle C, meaning it is 90 degrees. You subtract both of these values from the degree of a triangle, 180, which will leave you with 55.

Answer:

55

Step-by-step explanation:

Given: 35 degrees and 90 degrees

The total degrees of a triangle is 180

180 - 35 - 90 = 55

Answer:

Area of a triangle = (base x height) / 2

if the base is 3 and height is 4

Area = (3x4)/2 = 6 sq units

if the base is 4 and height is 8

Area = (4x8)/2 = 16 sq units

if base is 3 and height is 8

Area = (3x8)/2 = 12 sq units

Answer:

5280 ft/1 mi, 1848 ft

Step-by-step explanation:

Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.

[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]

[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex]        (miles cancels out, left with feet)

[tex]\frac{1848ft}{1}[/tex]

1848 feet

I hope this helps!

The radius of a circle is the length between a circle's centre and edge.

The diameter of a circle is its radius doubled.

The given diagram tells us the radius is 4.2 cm.

To solve for the diameter, multiply the given radius by 2:

4.2 × 2 = 8.4

Therefore, the diameter of the circle is 8.4 cm.

Radius: 4.2 cm

Diameter: 8.4 cm

Check the picture below.

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

[tex]P=83.42\times12\\P=1001.04[/tex]

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]

The total total amount in his bank account after 3 years is,

[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Learn more about the simple interest here;

https://brainly.com/question/2294792

Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

Answer:

Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Step-by-step explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

Inverse Function is a function that swaps domain and range.

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}

Answer:

0.59

Step-by-step explanation:

Given figure is a parallelogram

To Find

Value of"x"

[tex]m \angle \: A = m \angle \: C[/tex]

[tex]2x + 35 = 5x - 22[/tex]

[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]

[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]

Answer:

height = 5.33 m (nearest hundredth)

area of wall = 41.66 m² (nearest hundredth)

Step-by-step explanation:

To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.

The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles.  If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).

To find the height, use the tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]

[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]

[tex]\sf \implies h=2.331538291...[/tex]

Therefore, the height of A above the ground:

⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)

----------------------------------------------------------------------------------------

To find the area of the wall, sum the area of the rectangle and the area of the triangle.

Area of rectangle = width x height

                              = 3 x 10

                              = 30 m²

Area of triangle = 1/2 x base x height

                          = 1/2 x 10 x 2.331538191

                          = 11.65769145 m²

Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

Answer:

See below.

Step-by-step explanation:

1. 48521

To nearest 10:    48520

To nearest 100:    48500

To nearest 1000:     49000   (8 goes up to 9 becasue of the 5)

1. 674502

To nearest 10:     674500

To nearest 100:       674500

To nearest 1000:        675000

3. 3875

To nearest 10:       3880

To nearest 100:         3900

To nearest 1000:           4000

To nearest 10:

= 48520

To nearest 100:

= 48500

To nearest 1000:

= 49000

To nearest 10:

= 674500

To nearest 100:

= 674500

To nearest 1000:

= 676000

To nearest 10:

= 3880

To nearest 100:

= 3900

To nearest 1000:

= 4000

(if the number your rounding is higher than 5, round the number up)

Answer:

B. 2x2 – 3x + 10 = 2x2 + 21

Step-by-step explanation:

2x2 – 3x + 10 = 2x2 + 21

Subtract 2x^2 from each side

2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2

-3x+10 = 21

This is a linear equation and does not use the quadratic equation to solve

-

Answer:

A us right of first one and d is the right of another one

Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².

It is given by the initial velocity plus acceleration multiplied by time, that is:

v(t) = v0 + at.

In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:

v(t) = v0 + at.

19.6 = 0 + 2a.

2a = 19.6.

a = 19.6/2.

a = 9.8 m/s².

The acceleration is of a = 9.8 m/s².

More can be learned about the velocity formula at https://brainly.com/question/26408808

Answer:

This is pythagoras

A squared plus b squared equals c squared.

The unknown side is c as its the hypotenuse,

So the length of the first side is 6.4 this squared = 40.96

The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.

12 squared is 144

144 + 40.96 = 184.96

The length of c squared is 184.96

To find the length of c alone we calculate the square root.

The square root of 184.96 = 13.6

? = 13.6

2 - cubic centimeters

3- cubic decimeters

4- cubic centisquare

5- cubic millimeters

( cylinder's unit is in cubic due to formula )

(correct me if I'm wrong)

Answer:

−360

Step-by-step explanation: