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3 years ago

10

A square pyramid is shown below:

2 answers:

madreJ [45]3 years ago

8 0

Let Surface Area A, a the base edge and h the height:

A = a²+2a√(a²/4+h²)

h=?

pythagorean theorem:

h²=c²-a²

h=√(c²-a²)

h=√(8²-(.7/2)²)= 8

plug it in the above equation A= 11.7ft²

So A is correct

grigory [225]3 years ago

7 0

Hello,

The correct answer is A) 11.69.

Hope this helps!!!! (:

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From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago

Find the slope of the line that passes through (10,7) and (1,9)

Simora [160]

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

6 0

2 years ago

Hallie bought 20 lollipops for $0.25 each and 15 peppermint patties for $0.35. How much money did Hallie spend on candy?

Nastasia [14]

Answer:

She spent $10.25 on candy.

Step-by-step explanation:

Step 1- Multiply

20×0.25= 5

15×0.35= 5.25

Step 2- Add

5+5.25= 10.25

7 0

3 years ago

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Eva8 [605]

Answer:

f = -15

Step-by-step explanation:

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3 years ago

How do you write y=-4x^2-16x-14 in vertex form??

GREYUIT [131]

y= -4x² - 16x - 14

Take the coefficient of x² as the common factor

y = - 4(x² + 4x + 7/2)

Add (b/2)² to complete the square

y = - 4( x² + 4x + 2² - 2² + 7/2)

Complete the square

y = -4( (x + 2)² - 1/2)

Remove the bracket

y = -4(x + 2)² + 2

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8 0

3 years ago

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