Please answer ! Polynomials and Factoring problems. Thank you!

Answer:

88km

Step-by-step explanation:

If a car travels 40 km in 1 hour, then that same car would travel 40*2.2 km in 2.2 hours.

So, the car travelled 88km in 2.2 hours

Remember that speed is a rate!

Answer:

speed=distance/travel time

distance=2*40+60*3=80+180=260 km

travel time=2+3=5 hrs

Average speed during entire journey=260/5=52 km/h

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side KL is 30.81 units.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The measure of ∠J can be written as,

Cos(∠J) = JK/JL

Cos(∠J) = 7/31.6

∠J = 77.2°

Similarly the length of side KL can be written as,

Tan(∠J) = KL/JK

Tan(77.2°) = KL/7

KL = 30.81 units

Hence, the length of the side KL is 30.81 units.

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Answer:

D : 66

Step-by-step explanation:

separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go

also to get the area of a triangle you gotta add both sides then divide by 2.

The quotient of 874 and 23 determined using an area model is 38.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 874 ÷ 23

= (800 + 74 + 4) ÷ 23

We can get the answer by using the area model:

If divide 874 with 23 we get 184 as a remainder and 030 as a quotient

Further, if  we divide 184 with 23 we get 0 as a remainder and 008

874 ÷ 23 = 030 + 008 = 38

Thus, the quotient of 874 and 23 determined using an area model is 38.

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Answer:

Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.

Let's check

Area of sector

Answer:

D is not true.

Step-by-step explanation:

[tex] |4.5| = 4.5[/tex]

[tex] | - 45| = 45[/tex]

[tex]4.5 \leqslant 45[/tex]

Take two points

Slope

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

Put (0,0) on first one

On second one

So as lines are dashed symbols remain >

The inequalities are

Answer: attached a picture

The fourth clock shows the time 25 minutes after 4:00.

The correct option is IV.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

There are four clocks.

To watch the time on the clock:

The small arrow line shows the time in hours.

And the large arrow shows the time in minutes.

At the first clock;

The time is 11:20.

At the second clock;

The time is 11:40.

At the third clock;

The time is 12:20.

At the fourth clock;

The time is 4:25.

25 minutes after 4:00 means the large arrow will be pointing towards 5.

Because 25 = 5 x 5.

Therefore, all the times on the clocks are given above.

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The complete question;

From the given choices,

which clock shows 25 minutes after 4:00?

The options are given in the attached image.

Answer:

0.7 miles

1.4 miles

Step-by-step explanation:

Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles

Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles

Answer:

3

Step-by-step explanation:

Answer:

$10.64

Step-by-step explanation:

20% out of $53.18 is $10.636 rounded to $10.64

Answer:

$977.20

Step-by-step explanation:

We will use the compound interest formula to solve this: A = P(1 + R) ^ T

Using this formula we plug-in the values that we already have:

A = 880(1 + .0525) ^ 2

Now if we solve this, we end up with 977.20. That is your answer.

The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

(h, k) = center of the circle

r = radius of the circle

Center = (2, 0)

Radius = 7

Equation: (x - 2)^2 + (y - 0)^2 = 49

Answer: (x - 2)^2 + y^2 = 49

Hope this helps!

Answer:

Answer In this Picture.

The two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

The table is given as:

            Aerobic     Anaerobic

Male       88               104

Female  96                62

The column total are:

Aerobic = 88 + 96 = 184

Anaerobic = 104+ 62 = 166

So, we have:

            Aerobic                        Anaerobic

Male       88/184 = 0.48              104/166 = 0.63

Female  96/184 =  0.52             62/166 = 0.37

The total count of the table is

Total = 184 + 166 = 350

So, we have:

            Aerobic          Anaerobic     Total

Male       0.48              0.63              (88 + 104)/350 = 0.55

Female   0.52             0.37               (96 + 62)/350 = 0.45

Hence, the two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:

                           Aerobic                     Anaerobic                        Total

Male                     47.8%                          62.7%                            54.9%

Female                 52.2%                          37.3%                            45.1%

                            100%                             100%                             100%

The frequencies for males are:

Aerobic = 88 / (88 + 96)                                    Anaerobic = 104 / (104 + 62)

= 47.8%                                                                                 = 62.7%

For females:                      

Aerobic = 100% - 47.8%                                    Anaerobic = 100 - 62.7%

= 52.2%                                                                                 = 37.3%

Total males frequency:                                Total females
= (88 + 104) / (88 + 104 + 96 + 62)               = 100% - 54.9%

= 54.9%                                                          = 45.1%

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The system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

Given:

Elevation              Travel time

6990 feet                    0 hours

8290 feet                    10 hours

10875 feet                   21 hours

Using this formula

y(t)=at²+bt+c

Where:

At:

t=0; y=6990

6990=a(0)²+b(0)+c

c=6990 Equation 1

At:

t=10; y=8290

8290=a(10)²+b(10)+6990

1300=100a+10b Equation 2

At:
t=21; y=10,875

10875=a(21)²+b(21)+6990

3885=441a+21b Equation 3

Using equation 2 and 3 to solve for a and bc

1300=100a+10b

1300-10b/100=a

13-0.1b=a

Plug into equation 3

3885=441(13-0.1b)+21b

3885=5733-14.1b+21b

b=80

a=13-0.1(80)

a=13-8

a=5

Hence:

Write the Equation by plugging a,b and c

y(t)=5t²+80t+6990

Therefore the system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

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Answer:

302cm³

Step-by-step explanation:

The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)

Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]

Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)

We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]

Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]

Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)

That is the answer

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Answer:

i think it is D but I am not for shore

Answer:

the answer is 12

Step-by-step explanation:

[tex] \frac{756}{63} \\ = 12[/tex]

The two co-captians can be chosen in 21 different ways.

If the two co-capitans are equivalent, then we need to find combinations.

So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.

This is given by:

[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]

So the two co-captians can be chosen in 21 different ways.

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Answer:

16

Step-by-step explanation:

Answer:

12% decrease

Step-by-step explanation:

given:

In 2017, a chocolate bar had a mass of 250g.

In 2018, the mass of the chocolate bar was reduced to 220g.

The difference in mass is 250 - 220 = 30g

30 / 250 = 0.12 which is how much out of the 250g

0.12 x 100 = 12

12% decrease in the mass of chocolate bars from 2017 to 2018.

A percentage is a number or ratio expressed as a fraction of 100.

According to the question, it is given that

The mass chocolate bar had a mass of 250g in 2017

The mass of the chocolate bar was reduced to 220g in 2018

We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=(250-220)/250×100

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=30/250×100

=0.12×100

=12%

Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.

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Step-by-step explanation:

if you could solve 3a and 3b, you can also solve 3c. it is the same principle.

x-intercepts means y = 0.

remember, a square root has always 2 results : a positive and a negative one.

3c

0 = -(x - 3)² + 25

(x - 3)² = 25

x - 3 = ±5

x1 = +5 + 3 = 8

x2 = -5 + 3 = -2

3a

0 = (x + 1)² - 4

4 = (x + 1)²

±2 = x + 1

x1 = +2 - 1 = 1

x2 = -2 - 1 = -3

3b

0 = (x + 2)² - 9

9 = (x + 2)²

±3 = x + 2

x1 = +3 - 2 = 1

x2 = -3 - 2 = -5

y=3x+3

Step-by-step explanation:

The m is 3 because it is rise over run. For every 3 up it goes one over (3/1) or just 3. The b is 3 because b is where x equals 0 and it is at 3.