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3 years ago

50 points!!! Basic math!

Mathematics

2 answers:

Jlenok [28]3 years ago

8 0

Answer:

For 6 the answer is 4

and for 8 the answer is 7

tangare [24]3 years ago

7 0

Formula for the area of the triangle:

1/2 bh

b = base

h = height

#6.

Area = 36 in²

Base = 18 in

36 = 1/2(18)h

36 = 9h

36 ÷ 9 = h

4 = h

height = 4 in

#7.

Area = 2 ft²

Height = 1 ft

2 = 1/2 b (1)

2 = 1/2 b

2 ÷ 1/2 = b

4 = b

Base = 4 ft

#8.

Area = 42 in²

Base = 12 in

42 = 1/2 (12) h

42 = 6h

42 ÷ 6 = h

7 = h

Height = 7 in

Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.

Since you find the area by multiplying things together, for example x · x = x², the exponent is there.

You do not need to worry about this being in the calculation. This will just be in units such as:

cm²

ft²

in²

m²

Just remember to use these exponents in the units for the areas.

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The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s

Zielflug [23.3K]

Answer:

The lengths of sides of squares are 5 cm and 9 cm.

Step-by-step explanation:

Let the sides of rectangle be x and y .

Area of rectangle = Length × Breadth

Given : Area of rectangle = 45 cm².

⇒ x × y = 45

⇒ $x=\frac{45}{y}$ ........(1)

Two squares are constructed such that two adjacent sides of the rectangle

so squares have side x and y .

Area of square = side × side

Area of square with side x = x²

Area of square with side y = y²

Also, The combined area of the two squares is 106 cm².

⇒ x² + y² = 106

From (1) put value of x , we get,

$(\frac{45}{y})^2+y^2=106$

Solving for y ,

$(\frac{45}{y})^2+y^2=106$

$2025+y^4=106y^2$

$y^4-106y^2+2025=0$

$y^4-81y^2-25y^2+2025=0$

$y^2(y^2-81)-25(y^2-81)=0$

$(y^2-25)(y^2-81)=0$

$y^2-81=0$ or $y^2-25=0$

on solving we get y = 5 and y = 9

Also, x can be find by putting in (1),

⇒ $x=\frac{45}{5}=9$ and ⇒ $x=\frac{45}{9}=5$

⇒ x = 9 and x = 5

Thus, lengths of sides of squares are 5 cm and 9 cm.

6 0

3 years ago

Read 2 more answers

Classify the following triangle. check all that apply

Karo-lina-s [1.5K]

Answer:

Options (A), (B)

Step-by-step explanation:

Option A.

Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.

Option (B).

Given triangle has a right angle. Therefore, it's a right triangle.

Option (C).

Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.

Option (D).

Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.

Option (E).

A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.

Option (F).

Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.

5 0

3 years ago

If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3?

gayaneshka [121]

As the variation is direct we have:
$y = kx ^ 2
$
We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:
$200 = k5 ^ 2
$
Clearing k:
$k = 200/5 ^ 2

k = 200/25

k = 8$
Then, the function is:
$y = 8x ^ 2
$
We evaluate the function for x = -3
$y = 8 (-3) ^ 2

y = 8 (9)

y = 72$
Answer:
the value of y when x = -3 is:
c.
72

6 0

3 years ago

John wants to buy a new laptop computer the computer store sells laptops for $480 or 9 credit payments of $58 how much interest

Neko [114]

First you would need to find out how many 9 payments of 58$ would be and that is 522. Then you would need to subtract the 522 and the 480 and your answer would be 42$ so the interest would be 42$

5 0

3 years ago

You are purchasing soft drinks for the company annual party. You expect about 32 people to be there. You want to allow at least

qaws [65]

32*18=576 oz. 

Store A offers 24-12 oz cans for $5.89. That means $5.89 gets you 288 oz. Store B offers 12-12oz cans for $3.79, so that means $3.79 gets you 144oz. 

Store A is $5.89 per every 288 oz. You need 576 oz, which is double that. That means it will cost you twice as much as it would buying 24-12 oz cans: 
$5.89*2=$11.78 

Store B is $3.79 for 144 oz. As previously stated, you need 576 oz, so you'll need to buy 4 12-packs of 12 oz cans: 
$3.79*4=15.16 

So not only is Store A a better deal, but they'll save you $15.16-$11.78=$3.38 dollars.

5 0

3 years ago