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2 years ago

Tell whether a triangle can have sides with lengths 6, 10, and 14.

1 answer:

8 0

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since 3in, 4in, and 8in. Since 6+14 > 10,6+ 10 > 14, and 10 + 14 > 6, you can form a triangle with the lengths 6m, 14m, and 10m.

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PLEASE HELP ASAP !!

wariber [46]

Answer:

First figure: $954cm^3$

Second figure: $1,508yd^3$

Third figure:

Height= q
Side length = r

Fourth figure:  $726cm^3$

Explanation:

A. First figure:

1. Formula:

$\text{Volume of a cylinder}=\pi \times radius^2\times length$

2. Data:

radius = 9cm / 2 = 4.5cm

length = 15 cm

3. Substitute in the formula and compute:

$Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

B. Second figure

1. Formula:

$\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

2. Data:

radius = 12yd

height = 40 yd

3. Substitute and compute:

$Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

C) Third figure

a) The height is the segment that goes vertically upward from the center of the base to the apex of the pyramid, i.e. q .

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e. r .

When the base of the pyramid is a square the four edges of the base have the same side length.

D) Fourth figure

1. Formula

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

$Volume=(1/3)B\times H$

2. Data:

height: H = 18cm

side length of the base: 11 cm

3. Calculations

a) Calculate the area of the base.

The base is a square of side length equal to 11 cm:

$\text{Area of the base}=B=(11cm)^2=121cm^2$

b) Volume of the pyramid:

$Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3$

4 0

3 years ago

Read 2 more answers

Robert slices a large loaf of bread to make 12 sandwiches. He made 3 turkey sandwiches and 5 veggie sandwiches. The rest are ham

lions [1.4K]

We already know that there are 12 sandwiches.

If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.

12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches

Now we know there are 4/12 ham sandwiches

We need to simplify this now.
4/12 can be divided by 4

4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3

1/3 of the sandwiches are ham.

3 0

3 years ago

Write the following relation as a linear equation in standard form. Include a space between terms and operations.

kow [346]

Answer:

In the form of

Y= mx+c

Y= 1/2x +2

m = 1/2

Step-by-step explanation:

A linear equation in it's standard form is in the format

Y= mx+c

Where m is the slope and c is the y intercept

Let's use these two points to determine both the slope and the equation

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Equation of the linear function

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

4 0

3 years ago

Say if the Earth rotates 1.25 degrees in 5 mintues. But a classmate wants to find out how many degrees the Earth can rotate in 2

givi [52]

Her error was dividing them by 2 she would place 1.25 over 5 then divide by 5 to get the unit rate per minute then multiply the quotient by 2 to get the rate of degrees moved for 2 minutes which is .5 or .50 degrees every two minutes.

4 0

3 years ago

What is the value of 2x – 17 when x=-3?

Maksim231197 [3]

Answer:

-23

Explanation:

To find the value of the expression when x = -3, we simply put in -3 wherever we find x - doing this gives