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Vladimir79 [104]
2 years ago
7

If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?

Mathematics
2 answers:
deff fn [24]2 years ago
3 0

Certain inequalities define the possible side lengths of triangles. For example, a side cannot be greater than the sum of the other two. ... To find out if a set of three positive points can represent the lengths of the sides of a ... Since x is an integer, x can be equal to numbers 7, 8, 9, 10, or 11 (the numbers that lie between 6 and ...Answer:

Step-by-step explanation:

Finger [1]2 years ago
3 0

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

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Paul has 2/3 as many postcards as Shawn. The number of postcards Shawn has is 4/5 of the number of postcards Tim has. If the thr
ahrayia [7]

Tim has 56 more postcards than Paul.

Step-by-step explanation:

Total postcards boys have = 280

Let,

x = Paul's postcards

y = Shawn's postcards

z = Tim's postcards

According to given statement;

x + y + z = 280      Eqn 1

x=\frac{2}{3}y                   Eqn 2

y = \frac{4}{5}z                   Eqn 3

Putting value of y from Eqn 3 in Eqn 2

x=\frac{2}{3}*\frac{4}{5}z\\\\x=\frac{8}{15}z            Eqn 4

Putting value of x and y from Eqn 4 and Eqn 3 in Eqn 1

\frac{8}{15}z+\frac{4}{5}z+z=280\\\\\frac{8z+12z+15z}{15}=280\\\\\frac{35z}{15}=280\\\\

Multiplying both sides by \frac{15}{35}

\frac{15}{35}*\frac{35}{15}z=280*\frac{15}{35}\\z=120

Putting z=120 in Eqn 3

y=\frac{4}{5}*120\\y=96

Putting y=96 in Eqn 2

x=\frac{2}{3}*96\\x=64

Difference of Tim and Paul = 120-64 = 56

Tim has 56 more postcards than Paul.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

7 0
3 years ago
Use the function f(x) = –2|5-x| – 13 to evaluate f (6).
zysi [14]

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

3 0
2 years ago
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet
Ahat [919]

Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

5 0
3 years ago
Find the surface area of the following figure below. Use 3.14 for pi
Studentka2010 [4]
Surface area of cylinder = 2 x pi x r x h + 2 x pi x r*2

So 2 x pi x 4 x 11 + 2 x pi x 4*2 = 376.99
7 0
2 years ago
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cyl
il63 [147K]

Answer:

216= 7/8 x L -8

Step-by-step explanation:

Given that,

One cylinder has a volume that is 8cm less than 7/8 of the volume of a second cylinder

The first cylinder’s volume is 216 centimeter cubed

From given,

Let "x" be the volume of second cylinder

Therefore,

Volume of first cylinder = 7/8 of the volume of a second cylinder - 8

Thus the volume of second cylinder is 256 centimeter cubed

6 0
3 years ago
Read 2 more answers
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