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Zanzabum
3 years ago
6

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t

o the nearest square inch. Heron's formula: Area 19 square inches 37 square inches 60 square inches 95 square inches
Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

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An experiment involves selecting a random sample of 256 middle managers at random for study. one item of interest is their mean
Nitella [24]
The standard error of the mean is 128.125.

The formula for standard error is:

\sigma_M=\frac{\sigma}{\sqrt{N}}

With our information, we have:

\sigma_M=\frac{2050}{\sqrt{256}}=128.125.
7 0
3 years ago
Can you solve number 7, number 8, and number 9
solmaris [256]

Hello!

To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.

7. 3.2x + y (substitute x = 5.07 and y = 1.5)

3.2(5.07) + (1.5)

16.224 + 1.5

17.724

8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)

(1.5)(0.403) + (5.07)

0.6045 + 5.07

5.6745

9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)

(0.403) × 7.06 - (1.5)

2.84519 - 1.5

1.34518

<u>Final answers</u>:

  • Number 7: 17.724
  • Number 8: 5.6745
  • Number 9: 1.34518
5 0
2 years ago
F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.
BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

4 0
3 years ago
The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.
inysia [295]

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

5 0
2 years ago
Solve for x 8/x +1/5 = 3/x
HACTEHA [7]

Answer:

I think x=-25

Step-by-step explanation:

8 0
3 years ago
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