Points A and B lie in plane R Line AB does not lie in plane RI
always
sometimes
never

Answer:

3.542 or 3/271/500

Step-by-step explanation:

0.03542×100

= 1771/50000 ×100

=1771/500

=3.542 or 3/271/500

Answer:

i. g = 70°

ii. x = 85°

Step-by-step explanation:

Given:

Let first we name the triangle

i. ) Δ PQR , m∠ PRQ = 40°

ii. ) Δ ABC is a right angle at B and a line B- D-C

       m∠ DAC = 25°

       m∠ ACD = 60°

       m∠ BDA = x°

To Find:

i. g = ?

ii. x = ?

Solution:

i.

In Δ PQR , PR ≅ QR ...........{Given]

∴ Δ PQR is an Isosceles Triangle.

c.........{ Base angles of Isosceles triangle are equal }

∴ m∠ PQR = m∠ RPQ = g

Now sum of all the angles in a triangle is 180°

∴ m∠ PQR + m∠ RPQ + m∠ PRQ = 180°....{Angle sum property of Triangle}

[tex]g + g + 40 = 180\\2g=180-40\\2g=140\\g=\frac{140}{2} \\g=70\°[/tex]

∴ g = 70°

ii.

We know sum of all the angles in a triangle is 180°

In Δ DAC

m∠ DAC + m∠ ACD + m∠ ADC = 180°.....{Angle sum property of Triangle}

[tex]25+60+ \angle ADC = 180\\[/tex]

[tex]\angle ADC = 180-85\\\angle ADC =95\\[/tex]

Now By Linear Pair Angle Property

m∠ ADB + m∠ ADC = 180° ........{Linear Pair Angle Property}

[tex]x+95=180\\x=180-95\\x=85[/tex]

∴ x = 85°

Answer:

86.40  =  c  + 0.08 c  is the equation which can be used to find the cost of the coat, c, without the Sales tax

Step-by-step explanation:

Let us assume the cost of the coat = c

Selling price of coat = $86.40

The sale tax on the coat = 8%

⇒ The sale tax = 8% of c

Calculating the sales tax, we get:

[tex]\frac{8}{100}  \times  = 0.08 c[/tex]

or, the sales tax amount on the cost price of coat = 0.08 c

Now, the Sales Price of coat =Cost Price of Coat + sales Tax Amount

⇒ $86.40  =  c  + 0.08 c

Hence,  86.40  =  c  + 0.08 c  is the equation which can be used to find the cost of the coat, c, without the Sales tax.

What is the minimum cuts  needed to cut a circle into 8  equal parts ?

A : 4 cuts

Answer:

Step-by-step explanation:

When we have a circle, each cut (supposing the curst are in the exact middle) which give use two haves. So, if we cut one time, we'll have two equal parts, if we cut a second time, we'll have 4 equal parts, a third time, we'll get us 6 equal parts, and if we cut a fourth time, we'll have 8 equal parts.

So, whenever we have this kind of problem dividing circles, we just say that each cut in the exact middle equals two equal haves, so if we have 4 cuts, we just multiply them by 2, 4(2)=8. Therefore, we have 8 equal parts.

Answer:

62 is 50% of 31

Step-by-step explanation:

For example: 50% of 62 = 31; Example 2: Calculate a percentage based on 2 numbers. For example: 31/62 = 50%

Answer:

31

To calculate a percentage of some number, change the percentage into a decimal, and the word "of" into multiplication

Answer:

247/30

Step-by-step explanation:

19 7/5-6 1/3-5 5/6

19 7/5=102/5

6 1/3=19/3

5 5/6=35/6

----------------------

102/5-19/3-35/6

612/30-190/30-175/30=247/30

Answer:

8 7/30

Step-by-step explanation:

Five pieces can be selected in 1287 ways

Step-by-step explanation:

When the selection has to be made without considering the order of selection, combinations are used.

The formula for combination is:

[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]

Here

Total candies = n = 13

Candies to be selected = r = 5

Putting the values in the formula

[tex]C(13,5) = \frac{13!}{5!(13-5)!}\\=\frac{13!}{5!8!}\\=1287\ ways[/tex]

Five pieces can be selected in 1287 ways

Keywords: Combinations, selection

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There are 1,287 ways to select five pieces of candy from a bag of 13.

To find the number of ways to select five pieces of candy from a bag of 13, we can use the concept of combinations.

The formula for combinations is C(n, r) = n! / (r!(n-r)!),

where n is the total number of items and r is the number of items to be selected.

Substituting the values, we get C(13, 5) = 13! / (5!(13-5)!).

Simplifying this expression, we find that there are 1,287 ways to select five pieces of candy from the bag.

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Answer:

0

Step-by-step explanation:

14+ (-4) +6+(-16) = _

10+6+(-16) =

16+(-16) = 0

Answer:

0

Step-by-step explanation:

14 + (-4) + 6 + (-16) =  

10 + 6 + (-16) =  

16 + (-16) =

0

Answer:

2/3=16/24

5/8=15/24

Step-by-step explanation:

2/3= 16/24

5/8= 15/24

because if you multiply across 2/3 by 8/8 equal 16/24

and if you multiply across 5/8 by 3/3 equal 15/24

The equivalent fraction for 2/3 and 5/8 are 16/24 and 15/24 respectively.

Given the following fractions

2/3

5/8

We are to rewrite the fractions as a denominator of 24.

For 2/3:

We will multiply both the numerator and denominator by 8 to have:

2/3 * 8/8  = 16/24

Similarly:

For 5/8:

We will multiply both the numerator and denominator by 3 to have:

5/8 * 3/3  = 15/24

Hence the equivalent fraction for 2/3 and 5/8 are 16/24 and 15/24 respectively.

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Answer:

The correct answer is C.

Final answer:

The correlation coefficient of 0.9 indicates the strongest linear relationship among the provided options, and the weakest relationship is indicated when the coefficient is closest to 0.

Explanation:

The correlation coefficient that corresponds to a strong linear relationship in a data set is typically close to either -1 or +1. Based on the given options, the correlation coefficient of 0.9 (Option C) would indicate the strongest linear relationship, suggesting a very strong positive linear relationship between the two variables. Correlation coefficients close to 0 indicate weak relationships, and a value of exactly 0 implies no linear relationship at all. A perfect positive linear relationship has a correlation coefficient of +1, whereas a perfect negative linear relationship has a correlation coefficient of -1. Therefore, even negative coefficients such as -0.90 can also indicate a strong, but negative, linear relationship.

Hence, for the second part (Q4), the weakest relationship would be when the correlation coefficient is closest to 0 (Option A).

The subject of this question is Business and the grade level is High School. Jeremy's projection is incorrect, while Justine's projection is correct.

The subject of this question is Business and the grade level is High School.

Jeremy and Justine work for a company that receives $45 for each unit of output sold. The company has a variable cost of $25 per item and a fixed cost of $1600. To calculate profit, you subtract the total cost (fixed cost + variable cost) from the total revenue (45 * number of units sold).

Jeremy's projection states that for every 100 units of output sold, the company will make $3,600 in profit. Let's calculate this to verify if it's accurate. Justine's projection states that for every 300 units of output sold, the company will make $4,400 in profit. Let's calculate this to verify if it's accurate.

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Answer:

y= ⅖x - 2

Step-by-step explanation:

Formula: y = mx + b (m is the slope and b is the y intercept)

Info given:

m= 2/5

b= -2

Plug the info given into the formula, you get (2/5)x -2

Answer:

27

Step-by-step explanation:

-8 * -2 = 16

16 + 11 = 27

Answer:

Step-by-step explanation:

31 times 8

Answer:

It would cost 992.

Step-by-step explanation:

8 meters X 4 sides=32

32X$31.00=992.

Answer:

R=18 (17.98)

Step-by-step explanation:

Since c=dπ

113=dπ

SOlve for d

113=dπ

/π   /π

36=d (35.96)

Divide by 2, since the radius is the half of diameter

r=18 (17.98)

Answer:

x=17/150

Step-by-step explanation:

11x-4/50=70/60

11x-2/25=7/6

11x=7/6+2/25

11x=187/150

x=(187/150)/11

x=(187/150)(1/11)

x=187/1650

simplify,

x=17/150

Answer:

x=17/150

Step-by-step explanation:

an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon

The only type of polygon that must be regular if it is equiangular is a regular polygon.

Here, we have,

we know that,

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

an equiangular polygon is a polygon whose vertex angles are equal.

If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon.

Hence, The only type of polygon that must be regular if it is equiangular is a regular polygon.

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Answer:

x=2, y=8

Step-by-step explanation:

Set up the equations:

4x=y

1/4x+1/y=1/4

---------------------

1/y+1/y=1/4

2/y=1/4

cross product

y*1=2*4

y=8

4x=8

x=8/4=2

The required numbers are given as 5 and 20, as of the given conditions.

Given that,
One number is four times another number. The sum of their reciprocals is 1/4.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number be x,
According to the question,
y = 4x  - - - - -{1}
and
1 / y + 1/ x = 1/4
1 / 4x + 1/x = 1/4
x = 5
Now,
y = 4 [5] = 20

Thus, the required numbers are given as 5 and 20, as of the given conditions.

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Answer:

28

Step-by-step explanation:

24-7-4=13

13+15=28

Answer:

Yes

Step-by-step explanation:

312/3=104

Answer:

See attached graph

Step-by-step explanation:

Let m be the number of minutes passed and T be the temperature (in F°)

Before the window is opened, the temperature was ​ 70°F, then at m = 0 minutes, T = 70°F

When a window is open, the temperature in a room falls 5°F every 15 minutes. This means

at m = 15, T = 70°F - 5°F = 65°F

at m = 30, T = 70°F - 10°F = 60°F

at m = 45, T = 70°F - 15°F = 55°F

and so on.

Plot  points (0,70), (15,65), (30, 60), (45, 55) and connect them with a straight line. This is the graph that shows the temperature of the room, T, after the window has been open for m minutes.

Answer:

8 months

Step-by-step explanation:

The question asks for the minimum number of months it would take her to grow her hair ATLEAST 16 cm.

Lets solve this!

Her hair is ALREADY 4 cm

She needs to make it 16 cm or greater

That is:

16 - 4 = 12 cm MORE

Per month growth rate = 1.5 cm

So we will divide the amount she needs to grow (atleast) by the growth rate per month:

12/1.5

= 8

Thus, in 8 months, her hair will grow:

8 * 1.5 = 12 cm

and 4 cm from before, so

12 + 4 = 16 cm

So, it will take a minimum of 8 months

Answer:

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Mileage included with the rental = 54 miles

Additional mile over 54 miles = US$ 1 4/5

Distance finally driven by Thomas = 69 miles

2. Let's calculate how much additional money Thomas needs to pay.

Extra miles driven by Thomas = Distance finally driven - Mileage included

Extra miles driven by Thomas = 69 - 54

Extra miles driven by Thomas = 15

Cost of the additional miles = 15 * 1 4/5

Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80

Cost of the additional miles = 27

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Answer:

Express s in terms of v and t

s= v/t, multiplying both sides of the equation by t

Express t in terms of v and s

t= s/v ( from s=vt)

Step-by-step explanation:

Final answer:

To express s in terms of v and t, the formula is rearranged to s = vt. To express t in terms of v and s, the formula becomes t = s/v after rearranging.

Explanation:

To express s in terms of v and t using the formula v = s/t, we can rearrange the equation by multiplying both sides by t to get s = vt. Similarly, to express t in terms of v and s, we rearrange the formula to solve for t by dividing both sides by v, which gives us t = s/v.

To further clarify these transformations:

Mr Lee drive 31 miles from his house to Brookville

Given that  

Mr. Lee drove 8 miles from his house to park side .  

Parkside is 4 miles south of springfield.

From Parkside he drove 3 miles to springdale  

Then he drove 20 miles from springdale to brookville.

Need to determine how far Mr Lee drive in all, from his house to Brookville.

Complete drive of Mr Lee from his house to Brookville is equal to 8 miles from his house to park side then 3 miles from Parkside to springdale , then 20 miles from springdale to brookville.

=> Complete drive of Mr Lee from his house to Brookville in miles = 8 + 3 + 20 = 31 miles

Answer:

The scientific notation, 6.24 x 10^-4, means that the 6.24 is multiplied to 10 which is raised to exponent -4. 10^-4 has a regular number value of 0.0001. So, to find the answer you should multiply 6.24 by 0.0001 which gives an answer of 0.000624.20

Step-by-step explanation:

Answer:

[tex]\displaystyle 15 > n[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{6n}{6} < \frac{90}{6} → n < 15[/tex]

Whenever you divide\multiply by a negative, you reverse the inequality symbol.

** The above answer is written in reverse, which is the exact same result.

≥, ≤ → Solid Circle [●]

>, < → Blank Circle [○]

I am joyous to assist you anytime.

Answer:

6a+2-5a

ascending

2+a

descending

a+2