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3 years ago

Can someone pls Help me??

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

Answer:

Right triangle.

Step-by-step explanation:

Side lengths 9, 12, and 15 form a right triangle.

According to the Converse of the Pythagorean Theorem, If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Let a = 9

b = 12

c = 15

We'll plug in these values into the Pythagorean Theorem to determine whether the squared value of the longest side is equal to the sum of the squared value of the two other sides:

$c^{2} = a^{2} + b^{2}$

$15^{2} = 9^{2} + 12^{2}$

225 = 81 + 144

225 = 225

Since the sum of the squared lengths of the two other sides is equal to the squared value of the longest side, then it means that it is a right triangle.

Ronch [10]3 years ago

5 0

Answer:

right triangle

Step-by-step explanation:

You might be interested in

Solve the triangle. Round your answers to the nearest tenth.

Tresset [83]

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

6 0

3 years ago

I need help on my math please

Dovator [93]

In a 2-way frequency table, you take the row entry and divide it by its row total to get a decimal.
For your example:
It starts out like this:
sunny snowy
Male: 17 11
Female: 15 16

Add the rows up.
sunny snowy     total
Male: 17 11 28
Female: 15 16 31

Then divide the number the by the total:
sunny     snowy     total
Male: 17/28 11/28 28
Female: 15/31    16/31 31

Yours says to round to the 1000th place, so it ends up like:
sunny snowy
Male: .607 .393
Female: .484 .515

Hope that helps!!

7 0

3 years ago

A light bulb has a lifetime X that is exponentially distributed with a mean 340 hours. Find the probability that the bulb lifeti

LUCKY_DIMON [66]

Answer:

0.7026

Step-by-step explanation:

Let X denote the lifetime of light bulb. Given $X \sim Exp(\lambda)$ where the mean is $E(X) = 340 =\frac{1}{\lambda} \implies \lambda = \frac{1}{340} = 0.00294$ .

Recall that,

$\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}$

$\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026$

7 0

3 years ago

Who's is the solution set of the compound inequality 3.5x-10>-3 and 8x-9<39

velikii [3]

3.5x-10>-3 add 10 to both sides

3.5x>7 divide both sides by 3.5

x>2

... now for the other inequality:

8x-9<39 add 9 to both sides

8x<48 divide both sides by 3

x<6

So we have x>2 and x<6, so the compound inequality is:

2<x<6 and this means that the solution set is:

x=(2, 6)

4 0

3 years ago

Read 2 more answers

A necklace and earrings cost $144. Six necklaces and five pairs of earrings cost $825

hram777 [196]

Step-by-step explanation:

let necklace : x

let earrings : y

x+y=144 -1st eqn

6x+5y=825 -2nd eqn

y=144-X -3rd eqn

substitute eqn into 2nd eqn

6x+5(144-x)= 825

6x +720-5X =825 (expanded)

X = 825-720

X =105

substitute "X=105" into 1st eqn

(105)+y=144

y= 144-105

y=39

1 necklace = 105$

1 pair of earrings = 39$

(to check back: substitute the value into the original eqn)

6 0

3 years ago