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Veseljchak [2.6K]
3 years ago
15

On his bookshelf, Adam has the difference between two-thirds of Brett's books and two-thirds of Charlie's books. If Brett has 84

books and Charlie has 27 books, how many books does Adam have?
Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

30 books

Step-by-step explanation:

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PLZ ANSWER 75 POINTS FAST!!!!!!!!!!!!!!!!
Contact [7]

Answer:

6 inches

Step-by-step explanation:

The volume of a triangular pyramid can be found using

v=1/3bh

where b is the area of the base, and h is the height

We know the volume is 12, so let's find the area of the base

The area of a triangle can be found using:

a=bh/2

We know the base is 4, and the the height is 3, so we can substitute them in

a=4*3/2

a=12/2

a=6

Now, we can solve for the height

v=1/3bh

Substitute 12 in for v, and 6 in for b

12=1/3(6h)

Multiply both sides by 3

3*12=1/3(6h)*3

36=6h

Divide both sides by 6

h=6

The height is 6 inches

5 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (4,1) and (8,-3)?
Rus_ich [418]

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

8 0
3 years ago
Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the s
Allisa [31]

For line B to AC:  y - 6 = (1/3)(x - 4);  y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14

For line A to BC:  y - 6 = (-1)(x - 0);  y - 6 = -x, so y + x = 6

Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:

(3y - x = 14) + (y + x = 6) =>  4y = 20, y = +5;  Substitute this into y + x = 6:  5 + x = 6, x = +1

<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>

5 0
3 years ago
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
a rectangular patio needs to be made in kevin's back yard the patio will mesure 25 feet long 20 feet wide and 1.5 ft deep. If th
riadik2000 [5.3K]
First find the volume of the patio by multiplying the three dimensions since it's rectangular. (25)(20)(1.5) = 750

Then take the amount per cubic foot 4.99 and multiply it by the volume 750 to get

$3742.50

5 0
3 years ago
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