Using the similar triangles, which equation could be used to find the slope of line AB? A) m = p q B) m = q p C) m = n m D) m = q n

Answer:

-399/17

Step-by-step explanation:

D+26/-17=-25

D=-25-(-26/17)

D=-25+26/17

D=-425/17+26/17

D=-399/17

Answer:

T≥2

Step-by-step explanation:

3t+9≥15

3T≥15-9

3T≥6

T≥2

Answer:

t ≥ 2

t ∈ [2 ; +oo)

Step-by-step explanation:

3t + 9 ≥ 15

3t ≥ 15 - 9

3t ≥ 6

t ≥ 6 : 3

t ≥ 2

t ∈ [2 ; +oo)

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

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Answer:

  15 liters

Step-by-step explanation:

Let v represent the number of liters of 10% solution to be mixed with 5 liters of a 50% solution to obtain a 20% solution. The amount of salt in the final solution is ...

  0.10x +0.50(5) = 0.20(x+5)

  1.5 = 0.10x . . . . . simplify, subtract 1+0.10x

  15 = x . . . . . . . . . multiply by 10

15 liters of 10% solution must be added.

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We first want to rewrite it and make the square roots into power of 1/2 as its is easier in most cases to work with.

We will first solve for a^2 because it appears twice

3+2×2^1/2

3+2.828=5.828427

Now we will solve 1/a^2

1/5.828427=.171572

.171572+5.828427

now you add them and it equals 6.

====================================================

Explanation:

With any parallelogram, the adjacent angles always add to 180 degrees.

(angle ADC) + (angle DCB) = 180

(angle ADC) + 120 = 180

angle ADC = 180 - 120

angle ADC = 60 degrees

--------

Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.

(angle 1) + (angle 2) = angle ADC

45 + (angle 2) = 60

angle 2 = 60-45

angle 2 = 15 degrees

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

Answer: Tuesday, July 9 (correct me if I'm wrong)

Step-by-step explanation:

Jen goes every other day, so she goes every odd day.

Terry goes every third day, so Jen and Terry go together every six days.

Six days later is Sunday June 9, then Saturday June 15, then Friday Jun 21, then Thursday June 27, then Wednesday July 3.

Carlos only comes Mondays and Tuesday, so the next six days would be Tuesday July 9.

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]

Simplifying gives;

[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Answer:

Hope it helps this is an isosceles triangle

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

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

8 ^ ( 3+4)

8^ 7

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

Hope this helps you

Answer:

❁ 25% ❁

Explanation:

❁ The answer would be 25% ❁

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

Answer:

61 cubic meters

Step-by-step explanation:

1) Find the volume of the cube where s=4

1a) V= s*s*s

1b) Insert in side length

V=4*4*4

1c) solve

V=64 cubic meters

2) Find volume of 2nd cube by repeating same steps where s=5

2a) V=125 cubic meters

3) Subtract to find difference

3a) 125-64

3b) Solve: 61 cubic meters

Answer:

The cube with meters length of 5 s a bigger mass if the width of both cubes are the same

Step-by-step explanation:

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

Answer:

x=4      or    x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4      or x=-16

Answer:

32 miles/4 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The system of equations is:

● 3x + 2y = 7

● 2x + 4y = 8

Where x is the price of a single coffee and y is the price of a single coffee

We will solve this simultaneous equations using the graphing method:

The solutions is the intersection point of to the lines.

(Picture below)

The intersection point is (1.5,1.25)

Answer:

x = 1.5

y =1.25

Step-by-step explanation:

3x+2y=7

2x+4y=8

Multiply the first equation by -2

-2(3x+2y=7 )

-6x-4y = -14

Add this to the second equation

-6x-4y = -14

2x+4y=8

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

-4x = -6

Divide by -4

-4x/-4 = -6/-4

x = 1.5

Now find y

3x+2y=7

3(1.5) + 2y = 7

4.5 +2y = 7

Subtract 4.5 from each side

2y = 2.5

Divide by 2

y = 1.25

Answer:

256 in²

Step-by-step explanation:

Answer:

256 inches squared

Step-by-step explanation:

You find the area of all of the area on the sides and then add them

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

Answer:

1) 4^3

2) x^6 + 2

Step-by-step explanation:

1) 4 is the main number.

Then, however many fours there are is the exponent

( there are 3 fours )

2) x is the main variable

Then however many x's there are, that number will be your exponent

( there are 6 x's )

Answer:

Step-by-step explanation:

1) 4 ∙ 4 ∙ 4 is equivalent to 4^3:  4 is the base and 3 is the final exponent of this base.

2)  x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification.  What do you mean by "  2 * ?"

x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *  could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x      +      2, which is equivalent to x^6 + 2.  If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly.  Thank you.

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

   • Given,  

     apothem = 16.5 inches and length of a side =19 inches

   • Perimeter = 6 x (side of a hexagon)

                       = 6 x (19)

                       = 114 inches

   • Hence,

      Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

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