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2 years ago

3) Calculate the area of the entire triangle below. Show your work * 22 31 8

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

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What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

I am joyous to assist you anytime.

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3 years ago

2 Solve the following: +3=19 y= 2

Otrada [13]

Answer: 128

Step-by-step explanation:

3 0

2 years ago

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y

Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

$\frac{x}{y}$ = 5 ( multiply both sides by y )

x = 5y ←

and $\frac{y}{z}$ = $\frac{1}{3}$ ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0

3 years ago

A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 gue

Hitman42 [59]

Answer:

320 cups of soup.

Step-by-step explanation:

Given:

A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer.

He expects 800 guests at the banquet.

Question asked:

How many cups of soup he should prepare ?

Solution:

Ratio of soup appetizer to the number of guest = 2 : 5

Now, let number of cups of soup prepare for 800 guests = $x$

Now, as we have to find through equivalent ratios, we can write it as:-

2 : 5 = $x$ : 800

$\frac{2}{5} =\frac{x}{800} \\\\ By\ cross\ multiplication\\5\times x=2\times800\\5x=1600\\By\ dividing\ both\ sides\ by\ 5\\x=320$

Thus, he should prepare 320 cups of soup for 800 guests.

5 0

3 years ago

Helpp please and explanation its so hard

NISA [10]

Answer:

Step-by-step explanation:

Because

14.99 + 1.50 = 16.49

16.49 + 6% = 17.4794

17.4794 + 20% = 20.97528

Now if you round 20.97528

It becomes 20.98

I hope this is correct!

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4 0

2 years ago