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3 years ago

25 POINTS!!!!

Mathematics

1 answer:

notsponge [240]3 years ago

6 0

It is D because 6-2 =4.

Hope that helped

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Pls pls help Show work :)

Natasha2012 [34]

9514 1404 393

Answer:

31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

sin(30°) = BE/100

BE = 100·sin(30°)

Then ...

Tan = Opposite/Adjacent

tan(58°) = BE/x

x = BE/tan(58°) = 100·sin(30°)/tan(58°)

x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0

3 years ago

Two number cubes are rolled for two separate events:

andrew11 [14]

Answer: $\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}$

Step-by-step explanation:

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

$P(B|A)=\dfrac{P(B\cap A)}{P(A)}$

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

(2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

(3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

(4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

(5, 4), (5, 3), (5, 2), (5, 1)

(6, 3), (6, 2), (6, 1)

= 30

P(B) = (1, 2), (2, 1) sum = 3

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) sum = 6

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9

(6, 6) sum = 12

= 12

P(A ∩ B) = (1, 2), (2, 1)

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

= 11

7 0

3 years ago

1354 to the nearest ten

dusya [7]

Answer:

1350

Step-by-step explanation:

5 0

3 years ago

Help ASAP pleaseeeeeeeeeeee

morpeh [17]

Answer:

Step-by-step explanation:

30x2=60

60x.35=21

Mark me brainliest i really need it

8 0

3 years ago

You deposit $1,200.00 into an account and in three years of simple interest you have $1,380. What interest rate are you receivin

Tcecarenko [31]

Since simple interest doesn't involve compounding, the same amount gets added on every year. So, the equation for the simple interest received is $I = Prt$ , where $I$ is the total interest, $P$ is the original deposit (or "principal"), $r$ is the interest rate, and $t$ is the time passed in years.

Plugging in our values, we can solve for the interest rate:

$I = Prt$
$\$1380 - \$1200 = (\$1200)(r)(3 years)$
$\$180 = (\$1200)(r)(3 years)$
$r = .05 = \bf 5 \%$

6 0

3 years ago