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bogdanovich [222]
3 years ago
14

Show the formula for finding the area of a triangle. Then find the area of a right triangle with a base of 19 cm and a height of

6.5 cm.
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0
The answer is 61.75 because you have to do base times height then divide that answer by two
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a vegetarian sandwich is in the aproximate shape of a cone. the height of the sandwich is 6 inches and the base diameter is 3.5
Olenka [21]

Answer: 19.2inches³

Step-by-step explanation:

The volume of a cone is calculated as:

= 1/3πr²h

where,

π = 3.14

r = radius = diameter/2 = 3.5/2 = 1.75

h = height = 6

Volume = 1/3πr²h

= 1/3 × 3.14 × 1.75² × 6

= 19.2325

= 19.2inches³

Therefore, the volume of the cone-shaped sandwich is 19.2inches³.

5 0
3 years ago
5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
What is the square root of 75 in the simplest form
lesantik [10]

Answer:

5\sqrt{3}

Step-by-step explanation:

\sqrt{75} = \sqrt{5^{2}*3} =5\sqrt{3}

8 0
3 years ago
Read 2 more answers
Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.
just olya [345]

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

7 0
2 years ago
What are the factors of 4 and 10?
zmey [24]
Factors of 4 : 1,2,4

factors of 10 : 1,2,5,10
8 0
3 years ago
Read 2 more answers
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