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morpeh [17]
3 years ago
12

Solve for y on problem #2

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

9514 1404 393

Answer:

  y = (x +7)/3

Step-by-step explanation:

Multiply the given equation by y/3:

  \dfrac{x+7}{y}\cdot\dfrac{y}{3}=3\cdot\dfrac{y}{3}\\\\\boxed{y=\dfrac{x+7}{3}}

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8^10 x 8^4 simplified
Mandarinka [93]

Answer:

8^14

Step-by-step explanation:

8^10 * 8^4

We know that a^b * a^c = a^(b+c)

8^(10+4)

8^14

6 0
3 years ago
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The town of yarmouth is planning a skateboard park and needs to know the perimeter of the park. The property measures 7 yards by
fiasKO [112]
To get the perimeter, you get the sum of all the sides.
Therefore, the perimeter of the park here is 7+3+10+5 = 25 yards.
8 0
3 years ago
The graph of linear function f passes through the point (1 -9) and has a slope of -3.
AleksandrR [38]
So think of it as division divide 3 by 2 and your anwser is what you hav
8 0
3 years ago
RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
schepotkina [342]

Answer:

<u>Question 11:</u>

\angle DAC = 53^\circ

\angle AED = 90^\circ

\angle ADC = 74

DB = 16

AE = 6.03

AC = 12.06

<u>Question 12:</u>

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

<u>Question 11</u>

Given

\angle BAC = 53^\circ

DE = 8

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): \angle DAC

Diagonal CA divides \angle DAB into 2 equal angles

i.e

\angle DAC = \angle BAC

So:

\angle DAC = 53^\circ

Solving (b): \angle AED

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

\angle AED = 90^\circ

Solving (c): \angle ADC

First, we calculate \angle ADE, considering \triangle ADE:

\angle ADE + \angle AED + \angle DAC = 180

\angle ADE + 90 + 53 = 180

\angle ADE + 143 = 180

\angle ADE = -143 + 180

\angle ADE = 37

To calculate \angle ADC, we have:

\angle ADC = 2*\angle ADE

\angle ADC = 2* 37

\angle ADC = 74

Solving (d): DB

From the rhombus

DB = DE +EB

Where

DE =EB

So:

DB = 8 + 8

DB = 16

Solving (e): AE

To do this we consider \triangle ADE

Using the tan formula

tan(\angle ADE) = \frac{AE}{DE}

\angle ADE = 37 and DE = 8

So:

\tan(37) = \frac{AE}{8}

AE = 8 * \tan(37)

AE = 6.03

Solving (f): AC

This is calculated as:

AC = AE + EC

Where

AE = EC

AC = 6.03 +6.03

AC = 12.06

<u>Question 12: Isosceles Triangle</u>

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

4 0
3 years ago
Please this IXL is due tomorrow I really am struggling.
balandron [24]

Number of people can hold in each car = 10

Solution:

Number of cars in the Blazing Bullet = 6

Total number of people can ride at one time = 60

Number of people can hold at one Bullet car = ?

Let n be the number of people in each car can hold.

Now write a equation to find the number of people in each car.

Number of cars × number of people in each car = Total number of people

⇒ 6 × n = 60

⇒ 6n = 60

Now, solving this equation.

⇒ 6n = 60

Divide both sides of the equation by 6.

$ \Rightarrow\frac{6n}{6} = \frac{60}{6}

$ \Rightarrow n=10

⇒ n = 10

Hence 10 people can hold in each car.

6 0
4 years ago
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