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JulsSmile [24]
3 years ago
9

Please answer correctly will mark brainliest and will follow

Mathematics
1 answer:
Schach [20]3 years ago
5 0

9514 1404 393

Answer:

  q/2, p, q

Step-by-step explanation:

You know the area of a triangle is half the product of base and height. The two triangles of interest here have base length p and height q/2. You're being asked to fill in the missing base or height dimension.

  =\dfrac{1}{2}\times p \times\boxed{\dfrac{q}{2}}+\dfrac{1}{2}\times\boxed{p}\times\dfrac{q}{2}\\\\=\dfrac{1}{2}\times p\times\boxed{q}

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You sell an automobile part for $9.98, which includes a $.40 sales tax. The article cost you $8.75.
Irina-Kira [14]

Answer:

9.5%

Step-by-step explanation:

Buying price of the part= $ 8.75

Selling price of the part= $ 9.98

sale tax= $0.40

Selling price before sale tax= $9.98-$ 0.40 = $ 9.58

Make-up amount charged= $9.58- $8.75 = $ 0.83

As a percentage= (0.83/ 8.75) ×100

=9.5%

7 0
3 years ago
22. Solve the system
DaniilM [7]
Equation 1)  x + 6y = 2
Equation 2)  5x + 4y = 36

Multiply all of equation 1 by 5.

1)  5(x + 6y = 2)

Simplify.

1)  5x + 30y = 10
2)  5x + 4y = 36

Subtract equations from one another.

26y = -26

Divide both sides by 26.

y = -1

Plug in -1 for y in the first equation.

x + 6y = 2

x + 6(-1) = 2

Simplify.

x - 6 = 2

Add 6 to both sides.

x = 8

D : (8, -1)

~Hope I helped!~
8 0
3 years ago
The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?​
Brut [27]

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

5 0
3 years ago
Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose
yawa3891 [41]

Answer:

V=5\sqrt{3}\ m^3

Step-by-step explanation:

we know that

The volume of a trough is equal to

V=BL

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of  equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

B=\frac{1}{2} b^{2} sin(60\°)

where

b=2\ m

sin(60\°)=\frac{\sqrt{3}}{2}

substitute

B=\frac{1}{2}(2)^{2} (\frac{\sqrt{3}}{2})

B=\sqrt{3}\ m^{2}

step 2

Find the volume of a trough

V=BL

we have

B=\sqrt{3}\ m^{2}

L=5\ m

substitute

V=(\sqrt{3})(5)

V=5\sqrt{3}\ m^3

3 0
3 years ago
A small-business Web site contains 100 pages an 60%, 30%, and 10% of the pages contain low, moderate, an high graphic content, r
Karolina [17]

Answer:

fx(x)=[(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

Step-by-step explanation:

F(x) is been calculated by considering X (moderate) as one outcome and low and high combined as one outcome now probability function will be same as binomial distribution

F(x) = [(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

8 0
3 years ago
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