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3 years ago

Find an equivalent expression 8(2d+3) + 2(-3d+1)

Mathematics

1 answer:

Crazy boy [7]3 years ago

3 0

Answer:

1. 10d + 26

Step-by-step explanation:

Given.

8(2d+3) + 2(-3d+1)

= 16d + 24 - 6d + 2

= 10d + 26

Hope it will help :)

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Sam and Nancy were divorced on September 21, 2017. Neither has any dependents. Neither has remarried. The correct filing status

ivanzaharov [21]

Answer:

Sam and Nancy will keep using married on their status until after December of the same year before they can start using divorced. status is being considered for the whole year cycle

Step-by-step explanation:

7 0

4 years ago

You have a bag full of 17 marbles. of those marbles, 3 are black. what is the probability that a marble chosen is not black? bra

saveliy_v [14]

(17-3)/17=14/17
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8 0

3 years ago

Read 2 more answers

Find two complex numbers whose sum is 12 and whose product is 37.

jeka57 [31]

Answer:

6 ± i and 6 ± i

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 12

x × y = 37

Solve for x in the first equation.

x = 12 - y

Put x as 12-y in the second equation and solve for y.

(12- y)y = 37

12y - y² = 37

- y² + 12y - 37 = 0

y = 6 ± i

Put y as 6 ± i in the first equation and solve for x.

x + 6 ± i = 12

x = 12 - 6 ± i

x = 6 ± i

8 0

3 years ago

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

$\frac{1}{2}$ × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = $\frac{30x+150}{3x+15}$ ← factor numerator and denominator

= $\frac{30(x + 5)}{3(x+5)}$ ← cancel the factor (x + 5) on numerator/denominator

= $\frac{30}{3}$

= 10

7 0

3 years ago

Read 2 more answers

PLZ HELP WITH THIS QUESTION PLZ CORRECT ANSWERS!!! LOVE YOU THNX

iogann1982 [59]

Answer:

1) The value of x= 0.0642

2) $sin\theta=\frac{P}{H}=\frac{24}{25}$

$cos\theta=\frac{B}{H}=\frac{7}{25}$

$tan\theta=\frac{P}{B}=\frac{24}{7}$

$cosec\theta=\frac{H}{P}=\frac{25}{24}$

$cot\theta=\frac{B}{P}=\frac{7}{25}$

Step-by-step explanation:

1) Given : A right angle triangle with sides x and 10 and angle is 50°

To find : Value of x

Solution : Since, it is a right angle triangle

Therefore, we apply $cos\theta=\frac{B}{H}$

Where Base = x, Hypotenuse= 10, angle = 50°

$cos(50)=\frac{x}{10}$

$0.642=\frac{x}{10}$

$0.0642=x$

The value of x= 0.0642

2) Given : $sec\theta=\frac{25}{7}$

To find : Value of $sin\theta,cos\theta,tan\theta,cosec\theta,cot\theta$

Solution : We have given $sec\theta=\frac{25}{7}$

$sec\theta=\frac{H}{B}$

so, B= 7 , H=25

By Pythagoras theorem,

$H^2=P^2+B^2$

$25^2=P^2+7^2$

$625-49=P^2$

$\sqrt{576}=P^2$

$P=24$

Now, P=24, B=7, H=25

$sin\theta=\frac{P}{H}=\frac{24}{25}$

$cos\theta=\frac{B}{H}=\frac{7}{25}$

$tan\theta=\frac{P}{B}=\frac{24}{7}$

$cosec\theta=\frac{H}{P}=\frac{25}{24}$

$cot\theta=\frac{B}{P}=\frac{7}{25}$

5 0

3 years ago