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Match the following:

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

[tex] \: \: [/tex]

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Answer:

79 m

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + b)

=> 288 = 2(l + 65)

=> 288/2 = l + 65

=> 144 = l + 65

=> 144 - 65 = l

=> 79 = l

Hence,

Length of rectangle is 79 m

Answer:

Length of parking lot = 79m

Explanation:

2 × length + 2 × breadth = perimeter of rectangle

2 × length + 2 × 65 = 288

2 × length + 130 = 288

2 × length = 288 - 130

= 158

length = 158 ÷ 2

= 79

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

Answer:

a = m/c

Step-by-step explanation:

I translated the paragraph into these options.  Please check accuracy.

m = ca?

a = cm   No,  a = m/c

a = m/c Yes

c = am   No,  c = m/a

c = a/m  No,  c = m/a

The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

Given to us:

[tex]m=ca[/tex]

dividing both sides by c, we get

[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]

canceling c from right hand side, we get

[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]

Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

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Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

Answer: It would be b.

Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.

Answer:

  a = 0

Step-by-step explanation:

The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...

  (x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0

Comparing that to x^a, we find a=0.

_____

The applicable rules of exponents are ...

  [tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}[/tex]

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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Answer:

3

Step-by-step explanation:

-6+9=3

Answer:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Substitute the values in the equation,

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]

If 1 mile = 5,280 feet, then his speed is,

[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]

And 1 minute = 60 seconds, then his speed is,

[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

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Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Answer:

Step-by-step explanation:

The answer is 27

The value of x is 4.

The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The triangle has a perimeter of 73.

[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]

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Answer:

8 x 10¹³ is your answers hopes it's helpful to you

Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

Given a system of the equations:

x/3 + y/2 = 1/3  .... (1)

(5x)/6 - (3y)/4 = 1/6  ....(2)

Multiply 5/2 to equation (1) then subtract from equation (2), we get,

(5y)/4 + (15y)/8 = 5/6 - 1/6

(10y + 15y)/8 = 4/6

(25y)/8 = 4/6

25y = 4/6 x 8

y = 32/150

y = 0.21

To find the value of x,

x/3 + 32/300 = 1/3

x/3 = 1/3 - 32/300

x = 3(1/3 - 32/300)

x = 1 - 32/100

x = 0.68

From the given choices,

-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

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Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

The actual area of the closet floor is 3.52m.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

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Answer:

y=-2x-4

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

7x + 15 = 9x + 15 - 2x + 1

Combine like terms

7x+15 = 7x+16

Subtract 7x from each side

7x+15-7x = 7x+16-7x

15 =16

This is not a true statement so there are no solutions

Answer: I cannot tell what equations you are talking about.

Step-by-step explanation:

Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.

Answer: B

Step-by-step explanation:

Got it right