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AleksAgata [21]
2 years ago
9

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.

Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Answer:

<h3>x = 3 units</h3><h3></h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

<u>plugin values into the formula:</u>

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

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Anna71 [15]
They would have to split apart the group with 6 blueberries. Each friend would get three blueberries from this group.

3 0
3 years ago
B)simplify the expression <br> 7x2 + 4x – 2 + 8x2 – 9x – 5
konstantin123 [22]

Answer:

=25x-7

Step-by-step explanation:

4 0
3 years ago
Please answer this. thank you
Rama09 [41]

Answer:  (-\infty, -4]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\

The last inequality shown above is the same as saying -\infty < x \le -4

Converting this to interval notation leads to the final answer of (-\infty , -4]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

5 0
2 years ago
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3   Eqn 1

10x+12y=70   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2;

(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7

Dividing both sides by 2

\frac{2y}{2}=\frac{7}{2}\\y=3.5

Putting y=3.5 in Eqn 1

x+3.5=6.3\\x=6.3-3.5\\x=2.8

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

8 0
3 years ago
What percent of 8 is 6? pls give a detailed explanation thanks
Vedmedyk [2.9K]

Answer:

x/100 x 8 = 6

8x/100 = 6

x100    x100

8x = 600

Divide by 8 on both sides:

X = 75

Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.

(unknown number/percent)x/100 x 8(of 8) = 6(is 6)

4 0
2 years ago
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