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jarptica [38.1K]
3 years ago
6

Ryan and Scott are each studying a square pyramid.

Mathematics
2 answers:
Charra [1.4K]3 years ago
7 0

Answer: D

Step-by-step explanation: It's not C

Rufina [12.5K]3 years ago
3 0

Answer:

I think C is the answer for this equation.

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Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle
Lana71 [14]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

7 0
2 years ago
A soccer team made 76 penalty shots out of 100.Which ratio represents successful penalty shots to missed penalty shots?
almond37 [142]
Sense we are wanting to find <u>how many were miss</u>, then, we are practically going to subtract the following:

\boxed{76-100}= \     \left[\begin{array}{ccc}\bf{24\end{array}\right]

So, from this begin understood, we would then combine both the penalties that were shotted, to the onces that weren't.

So, b subtracting these both, we would grab the result, and then smash that with the number of the penalties that were made in.

Your answer: \boxed{\bf{76:24}}
5 0
3 years ago
The polynomial 3x? - 10x + 8 has a factor of 3x - 4. What is the other factor of 3x - 10x + 8?
DedPeter [7]

Answer: x-2

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!Which of the following is the most direct first step in solving
jeka57 [31]

Answer:

idek

Step-by-step explanation:

5 0
2 years ago
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Find the measure of the missing angels.
Leviafan [203]

Answer:

'b' and 'c' = 119 degrees

Step-by-step explanation:

Given that this is a basic intersection of straight lines, we can assume 'b' and 'c' are equal as well as the given angle and it's opposite. Given 61 degrees and and two straight lines we can just take 180 degrees - 61 degrees and we get 119 degrees, I solved for 'b', but this will give the same answer for 'c', as 'b' and 'c' are equal.

6 0
3 years ago
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