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Nataly_w [17]
3 years ago
6

A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.4 in. The slant height of the pyram

id is 93.7 in. What is the height of the​ pyramid?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

93.03 in

Step-by-step explanation:

Height of square pyramid: √slant height² - (1/2 base side length)²

SH = √93.7² - 11.2² = 93.03

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What is the value of x?<br><br><br>12 units<br><br>15 units<br><br>20 units<br><br>25 units
scZoUnD [109]

Answer:

∴ The value is 12 units

Step-by-step explanation:

From Geometric Mean Theorem we know that,

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.

The length of the altitude is the geometric mean of the lengths of the two segments.

So, Above theorem apply in the diagram;

\frac{ST}{RT}=\frac{RT}{TQ}

Plug RT=x , ST=9 and TQ=16 from diagram;

\frac{9}{x}=\frac{x}{16}

x^{2} =9\times 16

x^{2} =144

x=12

∴ The value is 12 units

4 0
3 years ago
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A rectangular prism with dimensions of 4 feet by 5 feet by 6 feet
frosja888 [35]

what is the height of it

and what do you want me to find?

4 0
3 years ago
If a1 = 3 and an = (an-1)^2+4 then find the value of a4
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Answer:

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8 0
1 year ago
PLEASEPLEASE ANSWER
IRINA_888 [86]

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

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