The angles of a pentagon are in ratio
9:10:12:14:15. What is the sum of measures of
the smallest and largest angles?

Answer:

a 0,1 and b 1,0

Step-by-step explanation:

exam took

Answer:

The other answer is incorrect the answer is

D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answer:

D. x = 3+i√5 or 3-i√5

Step-by-step explanation:

Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.

Required

Use the quadratic formula to solve the equation.

The quadratic formula is expressed as x = (-b±√b²-4ac)/2a

From the equation given, a = 1, b = -6 and c = 145.

x = (-(-6)±√(-6)²-4(1)(14))/2(1)

x = = (6±√36-56)/2

x = = (6±√-20)/2

x =  (6±√20*√-1)/2

Since √-1= i

x =  (6±√20 i)/2

x =  (6±√5*4 i)/2

x =  (6±2√5 i)/2

x = 6/2 ± 2√5 i/2

x = 3±√5 i

x = 3+i√5 and 3-i√5

Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5

Answer:

Normal; increases.

Step-by-step explanation:

In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.

The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.

This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

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Answer:

a i think

Step-by-step explanation:

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Answer:

A True

Step-by-step explanation:

B vertices would be the top of an isosceles

As any equal sides can form an isosceles, the measure of the base could be any size and isnt relevant to the triangle unless we are looking for a calculation for its height, which does not determine shape only equation.

Therefore with sides of triangles if they are equal we cna make the shape consist of any length base as long as it measures less than double than either side length.

Therefore a 1cm base does apply and can form a triangle of two equal sides 7cm and 7cm as the diagram asks.

Answer:

true

Step-by-step explanation:

THE reason it true is because on on the lines doesn't equal to the 2 other lines

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of [tex]14\frac{2}{9}\ km[/tex] was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by:

Cost per km = [tex]\frac{Cost \ of\ money\ charged}{Total\ distance}=\frac{\$ 32}{14\frac{2}{9} \ km}=\frac{32}{\frac{128}{9} }= \$2.25/km[/tex]

Therefore the cost per kilometer is $2.25 per kilometer. Each kilometer traveled by the taxi cost $2.25.

Answer:

7/6

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = ( -3 -4)/(5 -11)

  -7/-6

  =7/6

Answer:

7/6

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 4)/(5 - 11)

m = -7/(-6)

m = 7/6

For number of bags, divide total area by the area 1 bag can cover.

480 / 12 = 40 total bags.

Now for total weight, multiple total bags by weight per bag:

40 bags x 40 pounds = 1,600 total pounds.

A = 40 bags

B = 1,600 pounds

Answer:

A =189 cm^2

Step-by-step explanation:

The area of a parallelogram is found by

A = bh where b is the base and h is the height

A = 9 * 21

A =189 cm^2

14/6 = 22/x

Cross multiply:

14x = 132

Divide each side by 14

x = 9.4

Answer:

D. 100°

Step-by-step explanation:

Refer to picture attached

Lines QP and QR are tangent to radius of circle.

Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.

So as per sum of angles in right triangle, we have:

Then:

Correct answer choice is D. 100°

Answer:

Option A is the correct option.

Step-by-step explanation:

Surface area of the rectangle base = 9 × 5 = 45 in²

Surface area of lateral square = ( 5 )² = 25 in²

Surface area of lateral rectangle = 6.4 × 5 = 32 in²

Surface area of top square = ( 5 )² = 25 in²

Surface area of two parallel trapezoids:

[tex] (\frac{1}{2} (9 + 5) \times 5) \times 2[/tex]

= 7 × 5 × 2

= 70 in²

Total surface area:

= 45 + 25 + 32 + 25 + 70

= 197 in²

Hope I helped!

Best regards!

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Tangent Rule, tanθ = opposite/adjacent. Then, you have to substitute the following values into the formula :

[tex]tan(θ) = \frac{oppo.}{adj.} [/tex]

[tex]let \: θ = 25.7 \: , \: oppo. = h \: , \: adj. = 532[/tex]

[tex] \tan(25.7) = \frac{h}{532} [/tex]

[tex]532 \tan(25.7) = h[/tex]

[tex]h = 256 \: feet \: (3s.f)[/tex]

The value of height of tree is,

⇒ h = 256 feet

We have to given that,

A Giant Redwood tree cast a shadow that is 532 feet long, with an angle of elevation of 25.7° .

Hence, By given figure we get;

By using trigonometry formula, we get;

⇒ tan 25.7° = Opposite / Adjacent

⇒ tan 25.7° = h / 532

⇒ 0.4812 = h / 532

⇒ h = 0.4812 × 532

⇒ h = 256 feet

Therefore, The value of height of tree is,

⇒ h = 256 feet

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Answer:

8.10

Step-by-step explanation:

1metre =100 centmetres

1st piece is 5.44m

2nd piece is 1.44m

3rd piece is 1.12m

Total length= 8.10m

Answer:

  B. slides the graph 3 units right

Step-by-step explanation:

Replacing x with x-h moves the graph 'h' units to the right. In this case, the graph is moved 3 units right by replacing x with x-3.

Answer: L = V/bh

b= V/Lh and h= V/Lb

Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is

Volume = Length × breadth × height

The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.

When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.

Answer:

Answer is  x = 24

Matches 3/2 x +1 = 4/5x-5

Step-by-step explanation:

We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8

where 16 is 2/2 and 1/2 of 16 = 8

We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.

When 1 is added its done at end of both equations as multiplication occurs before hand.

Gracie has the same as Nancy =  5x+5 means   25 x 5 = 250+5 = 255 each.

50 x 5 = 250 + 5 +5= 510

510 + 24 + 1 = 535 seashells.

Because

24 + 1 = 25

matches

5/4 of 24 = 30

30 - 5 = 25

x=16 is the equation that represents this situation and identify its solution.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of shells Marry has.

Gracie has 5 more than times the number of shells Mary has.

Gracie = 1 1/4x + 5

Nancy  = 1 1/2x+ 1

Now we have given that: Gracie =Nancy

[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1

5/4x + 5 = 3/2x + 1

5x + 20 = 6x + 4

Subtract 6x  and 20 on both sides

5x - 6x = 4 - 20

-x = - 16

x = 16.

Hence, x=16 is the equation that represents this situation.

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Answer:

The answer is 6x10^-4.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 .

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

How to get this answer:

Place the decimal point after the 6 to get 6.0

The question is now "how do we go from 6.0 to get back to 0.0006?"

The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.

So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6

Answer:

-9x + y = 43

Step-by-step explanation:

We can put the equation into y = mx + b form first, then change it to Ax + By = C

First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)

(-2 - 7) / (-5 + 4)

-9/-1 = 9

We can put this into the equation y = mx + b, along with another point, to find b:

y = mx + b

7 = 9(-4) + b

7 = -36 + b

43 = b

Now, we know the equation will be y = 9x + 43, and we can rearrange this:

Subtract 9x from both sides:

-9x + y = 43 will be the equation of the line

Step-by-step explanation:

R is 4 times so the equation will be

32 = 4r

32/4 = r

8 = r

it was a long proof...

follow the caption and steps and you'll understand it

proved...

Step-by-step explanation:

this is too easy method to solve this problem

Answer:

80

Step-by-step explanation:

5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion

Answer:

It goes over the goal post by 6 feet

Step-by-step explanation:

The football will be at the same x position as the goal when x = 40. When x = 40, y = -0.03 * 40² + 1.6 * 40 = 16. The height of the goal post can be represented by the equation y = 10. Since 16 > 10, the football goes over the goal post by 16 - 10 = 6 feet.

Answer:

C

Step-by-step explanation:

They want to find out altogether and the total number so add it up!

Answer: 72,132,204

Step-by-step explanation:

Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.

Given,

A pantry contains 6 shelves.

Each shelves = 42 inches long.

The shelves are to be relined with fresh paper.

The paper is sold in 1-yard rolls.

We need to find the number of 1-yards rolls needed to sell 6 shelves.

1 yard = 36 inches.

We have,

6 shelves and each shelves is 42 inches.

1 shelves = 42 inches.

6 shelves = 6 x 42 inches

6 shelves = 252 inches.

And since,

36 inches = 1 yard

252 inches = (252/36) yard

252 inches = 7 yard

Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.

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Answer:

9 hours

11 hours

19 hours

9 hours, 11 hours, and 19 hours.

We can see that the given graph has both a climb and a fall.

The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.

The battery life increases while it is being charged.

Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.

Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.

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Answer:

The net charge on the four atoms is 12

Step-by-step explanation:

The given parameters are;

The charge of each electron = -1

The charge of each proton = + 1

The charge of each neutron = neutral

Therefore, if 3 electrons are removed  from each of the three atoms, we have;

The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12

Given that the at the four atoms add equal  number of protons and electrons, we have;

Original charge on the four atoms = n×(-1) +  n×(+1) = 0

Therefore;

The net charge on the four atoms after removal of the 12 electrons  = Original charge - (-12)

The net charge on the four atoms = 0 - (-12) = +12

The net charge on the four atoms = +12.