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2 years ago

14

Find the surface area of the regular pyramid. Write your answer as a decimal.

1 answer:

alexdok [17]2 years ago

6 0

Answer:

Hello! answer: 176.6

Hope this helps!

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Find the area of the shaded polygon.

Inessa [10]

Answer:

8 square units

Step-by-step explanation:

Split the polygon into 3 triangles as pictured below

<u>They have base and height:</u>

4 and 3, 1 and 1, 3 and 1

<u>Find the area of 3 triangles and add up:</u>

A = 1/2bh

A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units

6 0

3 years ago

Read 2 more answers

Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result

Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0

2 years ago

Reggie spent 2/5 of his day at a day camp exploring nature. if he was at camp for 10 hours, how many hours did he spend explorin

creativ13 [48]

2/5 * 10
= 20/5
= 4 hours

4 0

3 years ago

Simplify the following expression:,3 + 5 (9+2n)

Rasek [7]

3 + 5(9+2n)
Distribute the 5 to the items in the parentheses
3 + 5(9+2n)
3 + 45 + 10n
Combine like terms
48 + 10n

6 0

2 years ago

Help me pleaseeeessss

wlad13 [49]

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

$Sin=\frac{opposite}{hypotenuse}$

The opposite side of angle S is 28 and the hypotenuse is 53

so $sinS=\frac{28}{53}$

5 0

2 years ago