10 times as much as 0.5 is

The perimeter of a triangle is the sum of all sides' lengths.

Thus,

[tex]P=6+4x+(3x+2)=7x+8.[/tex]

Given [tex]P=57\ cm,[/tex] you get

[tex]7x+8=57,\\ \\7x=57-8,\\ \\7x=49,\\ \\x=\dfrac{49}{7},\\ \\x=7\ cm.[/tex]

Answer: x=7 cm.

If volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a right rectangular shipping carton is 948.75 cubic meters.

The height of the shipping carton is 11 meters, and the width is 7.5 meters.

We have to find the  length of the shipping carton

V=Length × width × height

V= Length x 7.5 x 11

948.75 = 82.5 length

Divide both sides by 82.5

Length = 948.75/82.5

Length = 11.5 meters

Hence, if volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

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B) 4.0 cm

First, we can adapt the law of sines to the notation of our triangle:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

Now, we can infer from our diagram that [tex]W=39[/tex], [tex]U=31[/tex], and [tex]u=3.3[/tex], so we can replace the values in our previous expression:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

[tex]\frac{sin(39)}{w} =\frac{sin(31)}{3.3}[/tex]

Finally, we can solve for [tex]w[/tex]:

[tex]\frac{3.3sin(39)}{w} =sin(31)[/tex]

[tex]3.3sin(39)=wsin(31)[/tex]

[tex]\frac{3.3sin(39)}{sin(31)} =w[/tex]

[tex]w=\frac{3.3sin(39)}{sin(31)}[/tex]

[tex]w=4.03224[/tex]

Which rounds to [tex]w=4.0[/tex]

We can conclude that the best approximation of w is 4.0 cm

Answer:

Adelaide gave $ 42 to the manicurist.

Step-by-step explanation:

Here, the original price of the manicure = $ 35

Since, 20% tip is given to manicurist,

Thus, the total payment for manicure = Original price of the manicure + 20 % of the original price of the manicure

= 35 + 20 % of 35

[tex]=35+\frac{20\times 35}{100}[/tex]

[tex]=35+\frac{700}{100}[/tex]

[tex]=35+7[/tex]

[tex]=42[/tex]

Hence, Adelaide gave $ 42 to the manicurist.

−200+

37

3

(4.5)

=−200+55.5

=−144.5             You can use order of operations or pemdas to solve problems like this. Just remeber to go left to right and multiplaction can be before division and multiplacation can be before divison (same with subtaction and addition)

The diver’s depth is 18.5 feet below from sea level.

Given that, A diver begins at sea level and dives down 200 feet.

He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes.

This depth is represented by the numerical expression is,

                 [tex]=-200 +\frac{121}{3}*(4.5) \\\\=-200+(121*1.5)\\\\=-200+181.5\\\\=-18.5feet[/tex]

Negative sign indicate that below the sea level.

Hence, The  diver’s depth is 18.5 feet below from sea level.

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Answer:

the second one is correct

Step-by-step explanation:

Answer:the second

Step-by-step explanation:

Using the divison operation, we can conclude that students prefer Basksetball 8.5 times more than soccer.

To obtain the number of times basket ball preference is greater than soccer :

We use the division operation :

(percentage of basketball) ÷ (percentage of soccer)

(25.5) ÷ 3 = 8.5

Therefore, students prefer basketball 8.5 times more than soccer.

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88.3-1.8%=86.7 is the answer

Final answer:

The length of the line segment connecting points (4, -1) and (9, 7) in the coordinate plane is approximately 9.43 units, when rounded to the nearest hundredth.

Explanation:

To find the length of the line segment that connects the points (4, −1) and (9, 7) in the coordinate plane, we can use the distance formula which is derived from the Pythagorean theorem:

The distance (Δ) between two points (x1, y1) and (x2, y2) is given by:

Δ = √((x2 - x1)² + (y2 - y1)²)

Substituting the given coordinates:

Δ = √((9 - 4)² + (7 - (−1))²)

Δ = √(5² + 8²)

Δ = √(25 + 64)

Δ = √89

Using a calculator, we can find that:

Δ ≈ 9.43

Therefore, the length of the line segment is approximately 9.43 units, rounded to the nearest hundredth.

Answer:

36 °

Step-by-step explanation:

Hello

In geometry an interior angle or an  internal angle is an angle formed by two sides of a polygon that sharing a common end is contained within the polygon, and the sum of these angles is given by

sum=(n-2)*180°

where n is the number of sides of the polygon,in our case n= 3 (a triangle)

Step 1

find the sum o internal angles

sum=(3-2)*108°

sum=1*180°

(1)sum=180°

step 2

find x

now, according to the graph the sum of internal angles is

sum(graph)=6x+2x+2x

(2)sum=10x

(1) must be equal to (2)

180°=10x

isolating x

x=18

Step 3

find C

by the graph ,we know

C=2x

and x=18

replacing

C=2(18)

C=36°

Have a great day

The ladder makes an angle of 63.43 degrees with the ground.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building

We need to find the angle which the ladder make with the ground.

tan(x) = opposite side / adjacent side

In this case, the opposite side is the height of the building, which is 20 feet.

The adjacent side is the distance from the wall to the base of the ladder, which is 8 feet.

Plugging in the values:

tan(x) = 20 / 8

x=tan⁻¹(20/8)

x=63.43 degrees

x is the angle

Hence, the ladder makes an angle of 63.43 degrees with the ground.

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