What information must you know about a triangle in order to use the Pythagorean Theorem to find the length of a missing side?
In order to use the Pythagorean Theorem, you must know the length or lengths of
Choose...
of the triangle and know that the measure of one of the angles is
Choose...
.

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: 48

Step-by-step explanation:

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

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

Answer:

The value of q = 985

Step-by-step explanation:

==> 25(q-954)=775

=> q-954 = 775/25

=> q-954 = 31

=> q = 31+ 954

=> q = 985

Answer:

q = 985

Step-by-step explanation:

25 (q-954) = 775

q-954 = 775/25

q = 31 + 954

q = 985

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = [tex]\sqrt{184.96}[/tex] = 13.6

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:

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:

x = -4, y = 3

Step-by-step explanation:

1. Substitute 2x + 11 for y:

5x + 2(2x + 11) = -14

2. Simplify:

2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,

9x + 22 = -14

3. Isolate x:

9x + 22-22 = -14-22 = 9x -36

9x/9 = -36/9

x = -4

4. Plug in the value of x in to solve for y:

y = 2(-4) + 11

y = 3

hope this helps!

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:

  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:

D, 87 is the answer

Step-by-step explanation:

360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)

Answer:

d

Step-by-step explanation:

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:

c

Step-by-step explanation:

the cost in dollars is $15.84

Answer:

Step-by-step explanation:

The answer is $15.84

Answer:

45°

360÷8= 45

Mark me brainliest.

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:

b

Step-by-step explanation:

b is correct i think

2

Answer:

ln 559872

Step-by-step explanation:

2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵

= ln 36 + ln 64 - ln 1/243

= ln [(36×64)/(1/243)]

= ln 559872

For Cylinder:

SA = 578.05 yd^3

V = 955.04 yd^3

For Trapezoidal Prism:

SA = 510.4 ft^2

V = 275 ft^3

Cylinder: Second Image

diameter - D

area - A

radius - R

height - H

volume - V

surface area - SA

PI = 3.14159...

R = D/2

R = 8/2

R = 4 yd

Surface Area:

SA = 2×PI×R×H + 2×PI×R^2

SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)

SA = 578.05 yd^3

Volume:

V = PI×(R^2)×h

V = 3.14159×(4^2) × 19

V= 955.04 yd^3

Trapezoidal Prism: First Image

lateral area - LA

area of base - BA

base - B

width - W

height - H

volume - V

surface area - SA

Volume:

V = BA × H

V =( L×W + 0.5(B×H)) × H

V = (5×7 + 0.5(8×5)) × 5

V = 275 ft^3

Surface area:

Lateral area is the sum of all the areas excluding the area of the base.

LA = a×l + b×l + c×l + d×l

LA = l(a+ b + c + d)

LA = 11(5 + 9.4 + 15 + 7)

LA = 400.4 ft^2

BA = L×W + 0.5(B×H)

BA = 5×7 + 0.5(8×5)

BA = 55 ft^2

SA = 2×BA + LA

SA = 2×55 + 400.4

SA = 510.4 ft^2

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!

Answer:

Remember the decimal hundredths rounding ruleset.

View this array below to get a better image.

[tex]\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right][/tex]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

Answer:

x = - 11

x + 7 = -4

Step-by-step explanation:

[tex]3(x + 7) = - 12 [/tex]

Multiply each term in parentheses by 3

[tex]3x + 3 \times 7 = - 12[/tex]

Multiply 3 and 7

[tex]3x + 21 = - 12[/tex]

Move the constant to the right side and change the sign

[tex]3x = - 12 - 21[/tex]

Find the sum of negative numbers

[tex]3x = - 33[/tex]

Divide both side by the same number

[tex]x = - 11[/tex]

= x + 7

= -11 + 7

Add the term - 11 + 7

= -4

Hey ! mate

Answer:

Step-by-step explanation:

In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .

We are starting our solution from here :

[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]

Transposing 3 to right hand side :

[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]

Now , dividing -12 by 3 :

[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]

Now ,

[tex] \longmapsto \:x + 7 = - 4[/tex]

Transposing 7 to right hand side :

[tex] \longmapsto \:x = - 4 - 7[/tex]

[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]

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

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

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

---------

b = 12

sin a = 48

sin B = 42

--------

12 × [tex]\frac{sin 48}{sin 42}[/tex]

ANSWER =

h = 13.33

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

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

Answer:

Circumference = 50.24 units

Area = 200.96 units²

Determining the area of the circle:

The formula of finding the area of the circle is π(r)² or π(d/2)².

(Where "r" represents the radius and "d" represents the diameter)

In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.

⇒ π(D/2)² = Area of circle

⇒ π(16/2)² = Area of circle

⇒ π(8)² = Area of circle

⇒ π × 64 = Area of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ Area of circle ≈ 3.14 × 64

⇒ Area of circle ≈ 200.96 units²

Determining the circumference of the circle:

The formula of finding the circumference of a circle is 2πr or πd.

(Where "r" is radius and "d" is diameter)

In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.

⇒ πd = Circumference of circle

⇒ π(16) = Circumference of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ (3.14)(16) ≈ Circumference of circle

⇒ 50.24 units ≈ Circumference of circle