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2 years ago

Which equation can be used to calculate the area of the shaded triangle in the figure below?

Mathematics

1 answer:

GrogVix [38]2 years ago

3 0

Answer:

It is $\frac{1}{2}$ (12 × 4) = 24

Step-by-step explanation:

$\frac{1}{2}$ (base × height) = area of triangle

$\frac{1}{2}$ (12 × 4) = area

area = 24

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Please help

KonstantinChe [14]

Answer:

Step-by-step explanation:

Sum of two sides of triangle always greater than third side, so the possible values of h is:

7x-3x < h < 7x+3x

4x < h < 10x

3 0

3 years ago

If J is between H and K and HJ = 3(x + 2), JK = 3x -4 and KH = 44. What is the value of HJ?

Ira Lisetskai [31]

KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>

7 0

3 years ago

-5x+8y=5 need answer

adoni [48]

Answer: $x=\frac{8}{5}y-1$

Step-by-step explanation:

$-5x+8y=5$

$-5x+8y+-8y=5+-8y$

$-5x=-8y+5$

$\frac{-5x}{-5} = \frac{-8y+5}{-5}$

$x=\frac{8}{5} y-1$

8 0

3 years ago

Need help GET BRAINLISTS #8

gladu [14]

Answer: 6.7 mm

Step-by-step explanation:

The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).

The apothem is the perpendicular distance from the center of the square to the midpoint of its side.

We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).

Area of square = 9(9) = 81

Area of square = 1/2(apothem)(perimeter)

Perimeter = 4(9) = 36

81 = 1/2(apothem)(36)

162 = apothem(36)

apothem = 4.5

Pythagorean theorem: $a^{2} + b^{2} = c^{2}$

Plug the apothem and the given height into the equation:

$4.5^{2} + 5^{2} = x^{2}$ (x being the slant height)

20.25 + 25 = $x^{2}$

x = $\sqrt{45.25}$

x ≈ 6.7

5 0

3 years ago

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie

labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

ii. E(X) = 1/p , according to the geometric model.

= 1/.4 = 2.5.

We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

= 45 (.4^2)(.6^10-2) = .0016

As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0

4 years ago