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padilas [110]
3 years ago
8

What is the length of side ac of the triangle

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

AC = 25

Step-by-step explanation:

Since ∠A = ∠C then the triangle is isosceles, thus BC and AB are congruent, that is

BC = AB, substitute values

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Hence

AC = 6x + 7 = (6 × 3) + 7 = 18 + 7 = 25

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Any one help with a step by step answer so I can write notes for future reference when working out similar questions? I need hel
max2010maxim [7]

Answer:

<em>Volume = ( About ) 2406.165 cm^3</em>

Step-by-step explanation:

If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;

Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165

<em>Solution ⇒ ( About ) 2406.165 cm^3</em>

<em />

Hope that helps!

3 0
3 years ago
ASAP ANSWER PLZ THANK YOU!
SVETLANKA909090 [29]

Answer:

The last one

Step-by-step explanation:

The last table represents a linear function, y = -2x + 3

3 0
3 years ago
Read 2 more answers
Geometry 10 long 2.75 wide triangle what is the area?
VladimirAG [237]
I believe the answer would be 13.75 but i’m not completely sure on this so correct me if i’m wrong
6 0
2 years ago
Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3
Damm [24]

The rule of a geometric sequence:

a_n=a_1r^{n-1}

We have:

a_1=6;\ r=-\dfrac{1}{3}

Find a_8=?\to n=8

substitute:

a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}

8 0
3 years ago
Your furniture store sells two types of dining room tables. The first, type A, costs $210 and you make a $21 profit on each one.
zimovet [89]

<u>Answer</u>

In order to minimize total cost sell A type 40 numbers and B type 90 numbers

<u>Solution</u>

furniture store sells two types of dining room tables.  

The first, type A, costs $210 and you make a $21 profit on each one.  

The second, type B, costs $180 and you make a $20 profit on each one.  

We can order no more than 130 tables this month, and you need to make at least $2640 profit on them.

Let x be the number table  Type A sold, type B sold = 130-x

To find the value of x

21x +(130-x)20=2640

solving we get x=40

There are two possibilities

1)

A type sold =40 B type sold = 130 - 40 =90

total cost = 40 x 210 +  90 x 180 = 24600

2)

A type sold =90 B type sold = 130 - 90 =40

total cost = (90 x 210) + (40x180)=26100

In order to minimize total cost, choose first possibility

sell A type 40 numbers and B type 90 numbers

7 0
3 years ago
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